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BLOCKIN LINEIN ALIGNEDLEFT SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 DOT 0 0 1 0 +Roux roux R Ro Rou Roux x ux oux Roux BLOCKIN LINEIN ALIGNEDLEFT SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 NOPUNCT 0 0 1 0 +) ) ) ) ) ) ) ) ) ) BLOCKEND LINEEND ALIGNEDLEFT SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 ENDBRACKET 0 0 1 0 + diff --git a/grobid-trainer/resources/dataset/header/corpus/tei/1-s2.0-S2211124721010135-main.training.header.tei.xml b/grobid-trainer/resources/dataset/header/corpus/tei/1-s2.0-S2211124721010135-main.training.header.tei.xml new file mode 100644 index 0000000000..11f7a8718f --- /dev/null +++ b/grobid-trainer/resources/dataset/header/corpus/tei/1-s2.0-S2211124721010135-main.training.header.tei.xml @@ -0,0 +1,215 @@ + + + + + + + + + Article Skin exposure to UVB light induces a skin-brain-gonad axis and sexual behavior Graphical abstract +
Highlights d UVB exposure increases circulating sex-steroid levels in mice and humans d UVB exposure enhances female attractiveness and receptiveness toward males d UVB exposure increases females' estrus phase, HPG axis hormones, and follicle growth d Skin p53 regulates UVB-induced sexual behavior and ovarian physiological changes
+ + Authors + + Roma Parikh, Eschar Sorek, Shivang Parikh, ..., Ruth Percik, Aron Weller, Carmit Levy + + + Correspondence + carmitlevy@post.tau.ac.il + + Parikh et al., 2021, Cell Reports 36, 109579 August 24, 2021 ª 2021 The Authors. + + https://doi.org/10.1016/j.celrep.2021.109579 + + ll Article + + + Skin exposure to UVB light induces a skin-brain-gonad axis and sexual behavior + + + + Roma Parikh, 1 Eschar Sorek, 1 Shivang Parikh, 1 Keren Michael, 2 Lior Bikovski, 3,4 Sagi Tshori, 5,6 Galit Shefer, 5 Shira Mingelgreen, 5 Taiba Zornitzki, 7 Hilla Knobler, 7 Gabriel Chodick, 8,23 Mariya Mardamshina, 1 Arjan Boonman, 9 Noga Kronfeld-Schor, 9 Hadas Bar-Joseph, 10 Dalit Ben-Yosef, 11,12 Hadar Amir, 13,14 Mor Pavlovsky, 15 Hagit Matz, 15,16 Tom Ben-Dov, 1,17 Tamar Golan, 1 Eran Nizri, 15,16 Daphna Liber, 18 Yair Liel, 19 Ronen Brenner, 20 Yftach Gepner, 21 Orit Karnieli-Miller, 22 Rina Hemi, 23 Ruth Shalgi, 24 Tali Kimchi, 25 Ruth Percik, 16,23 Aron Weller, 26 and Carmit Levy 1,27, * + + + + 1 Department of Human Genetics and Biochemistry, Sackler Faculty of Medicine, Tel Aviv University, + + +
Tel Aviv 69978, Israel
+ + + 2 Department of Human Services, The Max Stern Yezreel Valley Academic College, + + +
Jezreel Valley 1930600, Israel
+ + + 3 The Myers Neuro-Behavioral Core Facility, Sackler School of Medicine, Tel Aviv University, + + +
Tel Aviv 69978, Israel
+ + + 4 School of Behavioral Sciences, + + +
Netanya Academic College, Netanya 4223587, Israel
+ + + 5 Research Authority, Kaplan Medical Center, + + +
Rehovot, Israel
+ + + 6 Department of Biochemistry and Molecular Biology, Institute for Medical Research Israel-Canada, The Hebrew University, + + +
Jerusalem, Israel
+ + + 7 Diabetes, Endocrinology and Metabolic Disease Institute, Kaplan Medical Center, Hadassah School of Medicine, Hebrew University in Jerusalem, + + +
Rehovot, Israel
+ + + 8 Maccabitech, Maccabi Healthcare Services, + + +
Tel Aviv, Israel
+ + + 9 School of Zoology, Faculty of Life Sciences and the Sagol School of Neuroscience, Tel Aviv University, + + +
Tel Aviv 6997801, Israel
+ + + 10 The TMCR Unit, Sackler Faculty of Medicine, Tel Aviv University, + + +
Tel Aviv 69978, Israel
+ + + 11 IVF Lab & Wolfe PGD-Stem Cell Lab, Fertility Institute, Tel Aviv Sourasky Medical Center, + + +
Tel Aviv, Israel
+ + + 12 Department of Cell Biology and Development, Sackler Faculty of Medicine & Sagol School of Neuroscience, Tel Aviv University, + + +
Tel Aviv, Israel
+ + + 13 Fertility Institute, Tel Aviv Sourasky Medical Center, + + +
Tel Aviv, Israel
+ + + 14 Sackler Faculty of Medicine, Tel Aviv University, + + +
Tel Aviv, Israel
+ + + 15 Department of Dermatology, Tel Aviv Sourasky (Ichilov) Medical Center, + + +
Tel Aviv 6423906, Israel
+ + + 16 Sackler School of Medicine, Tel Aviv University, + + +
Tel Aviv 69978, Israel
+ + + 17 Department of Otolaryngology, Head and Neck surgery, Meir Medical Center, + + +
Kfar Saba 4428164, Israel
+ + + 18 Faculty of Humanities, Education and Social Sciences, Ono Academic College, + + +
Kiryat Ono, Israel
+ + + 19 Faculty of Health Sciences, Ben-Gurion University of the Negev, + + +
Beer-Sheva, Israel
+ + + 20 Institute of Pathology, E. Wolfson Medical Center, + + +
Holon 58100, Israel
+ + + 21 School of Public Health, Sackler Faculty of Medicine and Sylvan Adams Sports Institute, Tel Aviv University, + + +
Tel Aviv 69978, Israel
+ + + 22 Department of Medical Education, Sackler Faculty of Medicine, Tel Aviv University, + + +
Tel Aviv 69978, Israel
+ + + 23 Institute of Endocrinology, Chaim Sheba Medical Center, + + +
Tel-Hashomer, Israel
+ + + 24 Department of Cell and Developmental Biology, Sackler Faculty of Medicine, Tel Aviv University, + + +
Tel Aviv 69978, Israel
+ + + 25 Department of Neurobiology, Weizmann Institute of Science, + + +
Rehovot, Israel
+ + + 26 Department of Psychology and the Gonda Brain Research Center, Bar-Ilan University, + + +
Ramat Gan 5290002, Israel
+ + 27 Lead contact *Correspondence: + carmitlevy@post.tau.ac.il + + https://doi.org/10.1016/j.celrep.2021.109579 + + SUMMARY +
Ultraviolet (UV) light affects endocrinological and behavioral aspects of sexuality via an unknown mechanism. Here we discover that ultraviolet B (UVB) exposure enhances the levels of sex-steroid hormones and sexual behavior, which are mediated by the skin. In female mice, UVB exposure increases hypothalamus-pituitary-gonadal axis hormone levels, resulting in larger ovaries; extends estrus days; and increases anti-Mullerian hormone (AMH) expression. UVB exposure also enhances the sexual responsiveness and attractiveness of females and male-female interactions. Conditional knockout of p53 specifically in skin keratinocytes abol-ishes the effects of UVB. Thus, UVB triggers a skin-brain-gonadal axis through skin p53 activation. In humans, solar exposure enhances romantic passion in both genders and aggressiveness in men, as seen in analysis of individual questionaries, and positively correlates with testosterone level. Our findings suggest opportunities for treatment of sex-steroid-related dysfunctions. 1939), estradiol and testosterone levels in fish (Mitchell et al., 2014), and the attractiveness of hens to cockerels (Jones et al., 2001). This suggests that exposure to UV plays a major role in the regulation of sexuality on both behavioral and endocrinological
+ + Cell Reports 36, 109579, August 24, 2021 ª 2021 The Authors. 1 + + This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). ll + + and Slominski, 2015; Skobowiat et al., 2011, 2017; Slominski et al., 2013, 2018). + + Received: November 9, 2020 Revised: May 12, 2021 Accepted: July 30, 2021 + + Published: + August 24, 2021 + + Analytik Jena US Cat # 95-0042-15 UVX radiometer Analytik Jena US Cat #97-0015-02 Cell Reports 36, 109579, August 24, 2021 e2 + + Article + +
+
+
diff --git a/grobid-trainer/resources/dataset/header/corpus/tei/Pacman_journal_version.training.header.tei.xml b/grobid-trainer/resources/dataset/header/corpus/tei/Pacman_journal_version.training.header.tei.xml new file mode 100644 index 0000000000..c41bbc42a3 --- /dev/null +++ b/grobid-trainer/resources/dataset/header/corpus/tei/Pacman_journal_version.training.header.tei.xml @@ -0,0 +1,64 @@ + + + + + + + + + Highlights + + + Buckling of a double sector thin elastic plate: Analytical solution + + + + Xuyang Chang,Matthieu Vitse, Stéphane Roux + + + • +
A novel geometry is proposed, which can buckle from an initial planar configuration into a complex 3D shape under tensile load. More importantly, the parametrized closed-form solution of the deformed geometry is obtained analytically. • The mechanical analysis of the buckling and post-buckling behavior is also provided. • This closed-form solution can be used to benchmark either a numerical simulation of buckling or a Stereo Digital Image Correlation (Stereo-DIC) code.
+ + + Buckling of a double sector thin elastic plate: Analytical solution + + + + Xuyang Chang a, * , Matthieu Vitse a,b and Stéphane Roux a + + + + a Université Paris-Saclay, CentraleSupélec, ENS Paris-Saclay, CNRS, LMPS -Laboratoire de Mécanique Paris-Saclay, + + +
Avenue de Science, Gif-sur-Yvette, 91190, , France
+ + + b SciViz, + + +
Paris, France
+ + A R T I C L E I N F O Keywords: + Elastic Buckling Analytical solution Geometrical instability + + A B S T R A C T +
Analytical solutions for elastic buckling and post-buckling geometries are scarce. The present work presents such a solution for a sample geometry, initially planar, which buckles into a complex 3D shape under tensile load. The assumptions are that the sample thickness is small, so that flexural stiffness is low compared to in-plane strain stiffness, and hence the sample can be considered inextensible. The initial geometry is composed of two disk angular sectors sharing a common edge. Under tensile loading, the two radial edges of each sector tend to align so that each half turns into two regular cone sectors. As the tensile load increases, the cone angle progressively decreases, but the same generic form holds the sample extension all along the tensile direction. Such a solution may be useful for validating numerical simulation tools, or stereo-vision shape measurement procedures.
+ + ⋆ This work has been supported by EikoSim, and the Ecole Normale Supérieure Paris-Saclay. + + * Corresponding author + xuyang.chang@ens-paris-saclay.fr + + (X. Chang); + stephane.roux@ens-paris-saclay.fr + + (.S. Roux) + https://gitlab.com/sciviz/blendic + + (M. Vitse) ORCID(s): + 0000-0002-8239-4714 (X. Chang); 0000-0002-4230-6396 (M. Vitse); 0000-0003-4885-6732 (.S. Roux) + +
+
+
diff --git a/grobid-trainer/resources/dataset/segmentation/corpus/raw/1-s2.0-S2211124721010135-main.training.segmentation b/grobid-trainer/resources/dataset/segmentation/corpus/raw/1-s2.0-S2211124721010135-main.training.segmentation new file mode 100644 index 0000000000..519c192c7f --- /dev/null +++ b/grobid-trainer/resources/dataset/segmentation/corpus/raw/1-s2.0-S2211124721010135-main.training.segmentation @@ -0,0 +1,1834 @@ +Article Article article A Ar Art Arti BLOCKSTART PAGESTART NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 no 0 10 0 1 0 0 0 +Skin exposure skin S Sk Ski Skin BLOCKSTART PAGEIN SAMEFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 -- 2 10 1 1 0 0 1 +gonad axis gonad g go gon gona BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 0 no 0 6 1 1 0 0 1 +Graphical abstract graphical G Gr Gra Grap BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 1 no 0 10 1 0 0 0 1 +Highlights Highlights highlights H Hi Hig High BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 no 0 10 1 0 0 0 1 +d UVB d d d d d BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 0 1 - 1 10 1 0 0 0 1 +and humans and a an and and BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 no 0 1 1 0 0 0 1 +d UVB d d d d d BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 0 2 no 0 10 1 0 0 0 1 +receptiveness toward receptiveness r re rec rece BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 2 no 0 5 1 0 0 0 1 +d UVB d d d d d BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 0 2 ', 2 10 0 0 0 0 1 +hormones, and hormones, h ho hor horm BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 , 1 5 0 0 0 0 1 +d Skin d d d d d BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 0 3 - 1 10 1 0 0 0 1 +physiological changes physiological p ph phy phys BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 no 0 3 1 0 0 0 1 +Authors Authors authors A Au Aut Auth BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 4 no 0 10 1 0 0 0 1 +Roma Parikh, roma R Ro Rom Roma BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 4 ,, 2 7 1 0 0 0 1 +Shivang Parikh, shivang S Sh Shi Shiv BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 4 ,...,, 6 10 1 0 0 0 1 +Aron Weller, aron A Ar Aro Aron BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 4 , 1 7 1 0 0 0 1 +Correspondence Correspondence correspondence C Co Cor Corr BLOCKSTART PAGEIN SAMEFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 5 no 0 10 1 0 0 0 1 +carmitlevy@post.tau.ac.il carmitlevy@post.tau.ac.il carmitlevy@post.tau.ac.il c ca car carm BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 1 0 0 5 @... 4 10 1 0 0 0 1 +In brief in I In In In BLOCKSTART PAGEIN SAMEFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 0 6 no 0 10 0 0 0 0 1 +Parikh et parikh P Pa Par Pari BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 6 . 1 9 0 0 0 0 1 +triggers a triggers t tr tri trig BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 -- 2 8 0 0 0 0 1 +through skin through t th thr thro BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 . 1 8 0 0 0 0 1 +exposure increases exposure e ex exp expo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 no 0 10 0 0 0 0 1 +responsiveness and responsiveness r re res resp BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 , 1 8 0 0 0 0 1 +hypothalamus-pituitary-gonadal axis hypothalamus-pituitary-gonadal h hy hyp hypo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 6 -- 2 8 0 0 0 0 1 +hormone levels, hormone h ho hor horm BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 ,, 2 9 0 0 0 0 1 +duration, as duration, d du dur dura BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 ,- 2 8 0 0 0 0 1 +interactions. Solar interactions. i in int inte BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 . 1 9 0 0 0 0 1 +enhances romantic enhances e en enh enha BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 no 0 7 0 0 0 0 1 +positively correlates positively p po pos posi BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 6 no 0 7 0 0 0 0 1 +testosterone levels. testosterone t te tes test BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 6 . 1 5 0 0 0 0 1 +Parikh et parikh P Pa Par Pari BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 10 .,,, 4 10 1 1 0 0 1 +August 24, august A Au Aug Augu BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 1 0 0 0 10 ,. 2 8 1 1 0 0 1 +https://doi.org/10.1016/j.celrep.2021.109579 https://doi.org/10.1016/j.celrep.2021.109579 https://doi.org/10.1016/j.celrep.2021.109579 h ht htt http BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 1 0 0 1 0 10 ://././... 10 10 1 1 0 0 1 +ll ll ll l ll ll ll BLOCKSTART PAGEEND NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 11 no 0 10 1 1 0 0 1 +Article Article article A Ar Art Arti BLOCKSTART PAGESTART NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 no 0 10 0 1 0 0 1 +Skin exposure skin S Sk Ski Skin BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 no 0 7 0 0 0 0 1 +a skin-brain-gonad a a a a a BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 1 0 0 0 0 0 0 0 -- 2 10 0 0 0 0 1 +Roma Parikh, roma R Ro Rom Roma BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 0 ,,,,,,,,, 9 9 0 0 0 0 1 +Shira Mingelgreen, shira S Sh Shi Shir BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 0 ,,,,,,, 7 9 0 0 0 0 1 +Noga Kronfeld-Schor, noga N No Nog Noga BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 0 -,-,-,,,,,,, 12 9 0 0 0 0 1 +Tom Ben-Dov, tom T To Tom Tom BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 0 -,,,,,,,,, 10 9 0 0 0 0 1 +Orit Karnieli-Miller, orit O Or Ori Orit BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 0 -,,,,,,,,,* 11 10 0 0 0 0 1 +1 Department 1 1 1 1 1 BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 ,,,, 4 8 0 0 0 0 1 +2 Department 2 2 2 2 2 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 ,,, 3 7 0 0 0 0 1 +3 The 3 3 3 3 3 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 -,,,, 5 8 0 0 0 0 1 +4 School 4 4 4 4 4 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 ,,, 3 5 0 0 0 0 1 +5 Research 5 5 5 5 5 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 ,,, 3 4 0 0 0 0 1 +6 Department 6 6 6 6 6 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 ,-,,, 5 10 0 0 0 0 1 +7 Diabetes, 7 7 7 7 7 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 ,,,, 4 9 0 0 0 0 1 +Jerusalem, Rehovot, jerusalem, J Je Jer Jeru BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 2 ,, 2 1 0 0 0 0 1 +8 Maccabitech, 8 8 8 8 8 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 ,,, 3 4 0 0 0 0 1 +9 School 9 9 9 9 9 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 0 2 ,,,, 4 9 0 0 0 0 1 +10 The 10 1 10 10 10 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,,, 4 6 0 0 0 0 1 +11 IVF 11 1 11 11 11 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 -,,,, 5 7 0 0 0 0 1 +12 Department 12 1 12 12 12 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,,, 4 9 0 0 0 0 1 +Israel Israel israel I Is Isr Isra BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 2 no 0 0 0 0 0 0 1 +13 Fertility 13 1 13 13 13 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,, 3 5 0 0 0 0 1 +14 Sackler 14 1 14 14 14 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,, 3 5 0 0 0 0 1 +15 Department 15 1 15 15 15 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,(),, 5 7 0 0 0 0 1 +16 Sackler 16 1 16 16 16 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,, 3 5 0 0 0 0 1 +17 Department 17 1 17 17 17 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,,, 4 7 0 0 0 0 1 +18 Faculty 18 1 18 18 18 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,,, 4 7 0 0 0 0 1 +19 Faculty 19 1 19 19 19 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,-,-, 5 6 0 0 0 0 1 +20 Institute 20 2 20 20 20 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,.,, 4 5 0 0 0 0 1 +21 School 21 2 21 21 21 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,,, 4 9 0 0 0 0 1 +22 Department 22 2 22 22 22 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,,, 4 7 0 0 0 0 1 +23 Institute 23 2 23 23 23 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,-, 4 5 0 0 0 0 1 +24 Department 24 2 24 24 24 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,,, 4 8 0 0 0 0 1 +25 Department 25 2 25 25 25 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,,, 3 5 0 0 0 0 1 +26 Department 26 2 26 26 26 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 ,-,, 4 8 0 0 0 0 1 +27 Lead 27 2 27 27 27 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 0 2 no 0 1 0 0 0 0 1 +*Correspondence: carmitlevy@post.tau.ac.il *correspondence: * *C *Co *Cor BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 2 *:@... 6 3 0 0 0 0 1 +https://doi.org/10.1016/j.celrep.2021.109579 https://doi.org/10.1016/j.celrep.2021.109579 https://doi.org/10.1016/j.celrep.2021.109579 h ht htt http BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 1 0 0 1 0 2 ://././... 10 3 0 0 0 0 1 +SUMMARY SUMMARY summary S SU SUM SUMM BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 0 8 no 0 10 0 0 0 0 1 +Ultraviolet (UV) ultraviolet U Ul Ult Ultr BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 8 (). 3 9 1 0 0 0 1 +Here we here H He Her Here BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 8 ()- 3 9 1 0 0 0 1 +behavior, which behavior, b be beh beha BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 8 ,.,-- 5 9 1 0 0 0 1 +gonadal axis gonadal g go gon gona BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 8 ,;;- 4 9 1 0 0 0 1 +hormone (AMH) hormone h ho hor horm BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 8 (). 3 8 1 0 0 0 1 +of females of o of of of BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 8 -.- 3 9 1 0 0 0 1 +ishes the ishes i is ish ishe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 8 .,--., 6 9 1 0 0 0 1 +solar exposure solar s so sol sola BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 8 , 1 9 1 0 0 0 1 +individual questionaries, individual i in ind indi BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 8 ,. 2 10 1 0 0 0 1 +for treatment for f fo for for BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 8 --. 3 4 1 0 0 0 1 +INTRODUCTION INTRODUCTION introduction I IN INT INTR BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 0 10 no 0 10 1 1 0 0 1 +Exposure to exposure E Ex Exp Expo BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 10 ()- 3 10 1 1 0 0 1 +creases testosterone creases c cr cre crea BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 10 (, 2 8 1 1 0 0 1 +1939), estradiol 1939), 1 19 193 1939 BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 0 10 ),(., 5 9 1 1 0 0 1 +2014), and 2014), 2 20 201 2014 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 0 10 ),(., 5 9 1 1 0 0 1 +2001). This 2001). 2 20 200 2001 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 0 10 ). 2 9 1 1 0 0 1 +the regulation the t th the the BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 10 no 0 10 1 1 0 0 1 +Cell Reports cell C Ce Cel Cell BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 11 ,,,. 4 5 1 1 0 0 0 +This is this T Th Thi This BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 11 --(://.//--/./). 16 10 1 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 11 no 0 10 0 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEEND NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 0 11 no 0 10 0 1 1 1 0 +levels. 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article A Ar Art Arti BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 11 no 0 10 0 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 11 no 0 10 0 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEEND NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 1 11 no 0 10 0 1 1 0 0 +intromission, lordosis, intromission, i in int intr BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 0 ,,- 3 10 0 0 0 0 1 +ously (Achiraman ously o ou ous ousl BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 0 (.,;,;.,; 9 10 0 0 0 0 1 +Kimchi et kimchi K Ki Kim Kimc BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 1 0 .,). 4 3 0 0 0 0 1 +To determine to T To To To BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 0 ,- 2 9 0 0 0 0 1 +sessed ultrasonic sessed s se ses sess BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 0 ()(', 5 10 0 0 0 0 1 +2006). During 2006). 2 20 200 2006 BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 1 0 ).-, 4 9 0 0 0 0 1 +Figure 1. figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 1 . 1 10 1 1 0 0 1 +(A) Activation (a) ( (A (A) (A) BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 (). 3 5 1 1 0 0 1 +(B) Schematic (b) ( (B (B) (B) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 (). 3 6 1 1 0 0 1 +(C-E) Total (c-e) ( (C (C- (C-E BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 (-),,--. 8 8 1 1 0 0 1 +(F) Representative (f) ( (F (F) (F) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 (). 3 3 1 1 0 0 1 +(G) Total (g) ( (G (G) (G) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()--. 5 5 1 1 0 0 1 +(H) Total (h) ( (H (H) (H) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()---. 6 5 1 1 0 0 1 +(I) Latency (i) ( (I (I) (I) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()()()--. 9 7 1 1 0 0 1 +(J) UVB-or (j) ( (J (J) (J) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()--'. 6 4 1 1 0 0 1 +(K) Total (k) ( (K (K) (K) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()()-()--. 10 9 1 1 0 0 1 +(L) Plasma (l) ( (L (L) (L) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 (). 3 4 1 1 0 0 1 +(M) Total (m) ( (M (M) (M) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()---. 6 6 1 1 0 0 1 +(N) Total (n) ( (N (N) (N) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()----. 7 5 1 1 0 0 1 +(O) Latency (o) ( (O (O) (O) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()(),(),()-- 12 10 1 1 0 0 1 +control female. control c co con cont BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 2 . 1 0 1 1 0 0 1 +(P) Total (p) ( (P (P) (P) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 1 2 ()()-()---. 11 9 1 1 0 0 1 +Data are data D Da Dat Data BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 2 ,(-),(--),().,-,'.*.;** 23 9 1 1 0 0 1 +0.01; ***p 0.01; 0 0. 0.0 0.01 BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 2 .;***.;,. 9 3 1 1 0 0 1 +Cell Reports cell C Ce Cel Cell BLOCKSTART PAGEIN SAMEFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 11 ,,, 3 10 0 0 0 0 0 +Article Article article A Ar Art Arti BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 11 no 0 10 1 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 11 no 0 10 1 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEEND NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 1 11 no 0 10 1 1 1 0 0 +dominate the dominate d do dom domi BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 0 (-),- 5 8 0 1 0 0 1 +tively related tively t ti tiv tive BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 0 (,). 4 9 0 1 0 0 1 +We evaluated we W We We We BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 0 no 0 9 0 1 0 0 1 +males in males m ma mal male BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 0 - 1 9 0 1 0 0 1 +stimulus. 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1 8 0 0 0 0 1 +observed are observed o ob obs obse BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 , 1 8 0 0 0 0 1 +specifically in specifically s sp spe spec BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 () 2 9 0 0 0 0 1 +floxed mice floxed f fl flo flox BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 0 (.,) 4 9 0 0 0 0 1 +knockout in knockout k kn kno knoc BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 (/-/), 6 9 0 0 0 0 1 +referred to referred r re ref refe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 -(.,);- 7 9 0 0 0 0 1 +p53 littermates p53 p p5 p53 p53 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 0 0 0 0 3 0 (/-/), 6 9 0 0 0 0 1 +p53-WT, were p53-wt, p p5 p53 p53- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 0 0 0 0 3 0 -,(). 5 8 0 0 0 0 1 +p53-KO and p53-ko p p5 p53 p53- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 0 0 0 0 3 0 --/ 3 8 0 0 0 0 1 +cm 2 cm c cm cm cm BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 . 1 9 0 0 0 0 1 +the whole the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 ,() 3 9 0 0 0 0 1 +and at and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 no 0 8 0 0 0 0 1 +the skin the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 (). 3 9 0 0 0 0 1 +the knockout the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 . 1 8 0 0 0 0 1 +with the with w wi wit with BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 (- 2 8 0 0 0 0 1 +cov-Brog et cov-brog c co cov cov- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 0 -.,),- 6 9 0 0 0 0 1 +tion in tion t ti tio tion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 0 -(- 3 8 0 0 0 0 1 +ure S4E). ure u ur ure ure BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 0 ). 2 8 0 0 0 0 1 +these mice these t th the thes BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 (). 3 7 0 0 0 0 1 +No increases no N No No No BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 3 0 ,, 2 8 0 0 0 0 1 +were detected were w we wer were BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 -(- 3 8 0 0 0 0 1 +ure 4B). ure u ur ure ure BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 0 ).,,, 5 9 0 0 0 0 1 +were noted were w we wer were BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 -- 2 8 0 0 0 0 1 +mock-treated p53-KO mock-treated m mo moc mock BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 --()., 6 8 0 0 0 0 1 +were no were w we wer were BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 - 1 8 0 0 0 0 1 +genic hormone genic g ge gen geni BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 0 (,,,)(- 7 8 0 0 0 0 1 +ure 4D), ure u ur ure ure BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 0 ), 2 9 0 0 0 0 1 +of these of o of of of BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 0 () 2 10 0 0 0 0 1 +of AMH of o of of of BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 ()-- 4 7 0 0 0 0 1 +treated control treated t tr tre trea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 -. 2 8 0 0 0 0 1 +support our support s su sup supp BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 3 4 no 0 8 0 0 0 0 1 +the ovaries the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 - 1 8 0 0 0 0 1 +treatment. treatment. treatment. t tr tre trea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 . 1 1 0 0 0 0 1 +To evaluate to T To To To BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 3 4 ,- 2 8 0 0 0 0 1 +treated and treated t tr tre trea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 --- 3 8 0 0 0 0 1 +were subjected were w we wer were BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 (). 3 9 0 0 0 0 1 +in the in i in in in BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 3 4 /.- 3 9 0 0 0 0 1 +genital sniffing genital g ge gen geni BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 -- 2 8 0 0 0 0 1 +UVB-treated or uvb-treated U UV UVB UVB- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 3 4 ---(, 5 8 0 0 0 0 1 +panel). In panel). p pa pan pane BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 4 ).,- 4 8 0 0 0 0 1 +treated p53-KO treated t tr tre trea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 - 1 8 0 0 0 0 1 +with that with w wi wit with BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 --- 3 8 0 0 0 0 1 +treated p53-WT treated t tr tre trea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 -(,)., 6 8 0 0 0 0 1 +we found we w we we we BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 no 0 10 0 0 0 0 1 +(both p53-WT (both ( (b (bo (bot BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 4 (--)-- 6 8 0 0 0 0 1 +compared with compared c co com comp BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 --, 3 8 0 0 0 0 1 +enhancement of enhancement e en enh enha BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 no 0 8 0 0 0 0 1 +UVB-treated p53-KO uvb-treated U UV UVB UVB- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 3 4 --(,).- 7 8 0 0 0 0 1 +gests that gests g ge ges gest BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 4 no 0 8 0 0 0 0 1 +depends on depends d de dep depe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 . 1 3 0 0 0 0 1 +Both p53-WT both B Bo Bot Both BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 3 4 -- 2 7 0 0 0 0 1 +enhancement of enhancement e en enh enha BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 no 0 9 0 0 0 0 1 +a UVB-treated a a a a a BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 1 0 0 0 0 0 3 4 --- 3 8 0 0 0 0 1 +WT female, wt W WT WT WT BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 3 4 ,- 2 8 0 0 0 0 1 +ence of ence e en enc ence BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 3 4 -(,)., 6 9 0 0 0 0 1 +we noted we w we we we BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 ( 1 9 0 0 0 0 1 +p53-WT and p53-wt p p5 p53 p53- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 0 0 0 0 3 4 --)-- 5 8 0 0 0 0 1 +males compared males m ma mal male BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 3 4 -, 2 8 0 0 0 0 1 +A A a A A A A BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 ALLCAP NODIGIT 1 0 1 0 0 0 0 0 4 8 no 0 10 1 1 0 0 1 +D D d D D D D BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 8 no 0 10 1 1 0 0 1 +E E e E E E E BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 8 no 0 10 1 1 0 0 1 +F F f F F F F BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 8 no 0 10 1 1 0 0 1 +B B b B B B B BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 8 no 0 10 1 1 0 0 1 +C C c C C C C BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 8 no 0 10 1 1 0 0 1 +Figure 3. figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 8 . 1 10 1 1 0 0 1 +(A) Percentage (a) ( (A (A) (A) BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 9 ()/()/()-. 10 9 1 1 0 0 1 +(B) Length (b) ( (B (B) (B) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 9 ()-. 4 4 1 1 0 0 1 +(C) Plasma (c) ( (C (C) (C) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 9 ()(),(),()-. 12 6 1 1 0 0 1 +(D) Representative (d) ( (D (D) (D) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 9 ()(),(), 8 9 1 1 0 0 1 +8 weeks 8 8 8 8 8 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 4 9 (;,). 5 3 1 1 0 0 1 +(E) Relative (e) ( (E (E) (E) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 9 ()-. 4 7 1 1 0 0 1 +(F) Relative (f) ( (F (F) (F) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 9 ()-. 4 6 1 1 0 0 1 +Data are data D Da Dat Data BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 9 ,(,,,),().,-,'.*.;**.; 22 10 1 1 0 0 1 +***p < ***p * ** *** ***p BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 9 ***.;, 6 2 1 1 0 0 1 +8 Cell 8 8 8 8 8 BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 4 11 ,,, 3 10 0 0 0 0 0 +Article Article article A Ar Art Arti BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 11 no 0 10 1 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 11 no 0 10 1 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEEND NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 4 11 no 0 10 1 1 1 0 0 +A A a A A A A BLOCKSTART PAGESTART NEWFONT HIGHERFONT 1 0 ALLCAP NODIGIT 1 0 1 0 0 0 0 0 4 0 no 0 10 1 1 0 0 1 +C C c C C C C BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 0 0 0 1 +F F f F F F F BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 0 0 0 1 +H H h H H H H BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 0 0 0 1 +I I i I I I I BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 0 0 0 1 +J J j J J J J BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 0 0 0 1 +G G g G G G G BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 0 0 0 1 +D D d D D D D BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 0 0 0 1 +E E e E E E E BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 0 0 0 1 +B B b B B B B BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 4 0 no 0 10 1 1 0 0 1 +Figure 4. figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 0 .- 2 10 1 1 0 0 1 +(A) Overlap (a) ( (A (A) (A) BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()-() 5 9 1 1 0 0 1 +skin regulators skin s sk ski skin BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (). 3 3 1 1 0 0 1 +(B) Plasma (b) ( (B (B) (B) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()(),(),()-. 12 5 1 1 0 0 1 +(C) Photograph (c) ( (C (C) (C) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()(),()(),(;,)- 15 10 1 1 0 0 1 +KO females ko K KO KO KO BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 1 0 0 0 0 0 0 4 0 . 1 1 1 1 0 0 1 +(D) Relative (d) ( (D (D) (D) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()-. 4 6 1 1 0 0 1 +(E) Relative (e) ( (E (E) (E) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()-. 4 4 1 1 0 0 1 +(F) Total (f) ( (F (F) (F) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()(----)---- 12 9 1 1 0 0 1 +(left). Total (left). ( (l (le (lef BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ().(----)---- 13 9 1 1 0 0 1 +males (right). males m ma mal male BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (). 3 0 1 1 0 0 1 +(G) Total (g) ( (G (G) (G) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()-(----)---- 13 9 1 1 0 0 1 +(left panel). (left ( (l (le (lef BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ().-(----)---- 14 9 1 1 0 0 1 +KO males ko K KO KO KO BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 1 0 0 0 0 0 0 4 0 (). 3 1 1 1 0 0 1 +(H) Total (h) ( (H (H) (H) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()()()(----)-- 14 9 1 1 0 0 1 +treated p53-WT treated t tr tre trea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 --. 3 2 1 1 0 0 1 +(I) UVB-or (i) ( (I (I) (I) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ()----'----. 12 7 1 1 0 0 1 +(legend continued (legend ( (l (le (leg BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 1 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 11 () 2 10 0 0 0 0 0 +Cell Reports cell C Ce Cel Cell BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 11 ,,, 3 10 0 0 0 0 0 +Article Article article A Ar Art Arti BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 11 no 0 10 1 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 11 no 0 10 1 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEEND NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 4 11 no 0 10 1 1 1 0 0 +observed in observed o ob obs obse BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 -(, 3 8 0 0 0 0 1 +panel). The panel). p pa pan pane BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ).- 3 8 0 0 0 0 1 +sions by sions s si sio sion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 (--)- 5 7 0 0 0 0 1 +p53-WT females p53-wt p p5 p53 p53- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 0 0 0 0 4 0 -- 2 8 0 0 0 0 1 +WT females, wt W WT WT WT BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ,- 2 7 0 0 0 0 1 +KO females ko K KO KO KO BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 1 0 0 0 0 0 0 4 0 (). 3 3 0 0 0 0 1 +The lordotic the T Th The The BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 0 no 0 8 0 0 0 0 1 +UVB-treated p53-WT uvb-treated U UV UVB UVB- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ---- 4 8 0 0 0 0 1 +WT mice; wt W WT WT WT BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 ;-(). 5 9 0 0 0 0 1 +We also we W We We We BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 0 --- 3 8 0 0 0 0 1 +cantly higher cantly c ca can cant BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 no 0 8 0 0 0 0 1 +mock-treated p53-WT mock-treated m mo moc mock BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 --- 3 8 0 0 0 0 1 +ished in ished i is ish ishe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 -(,). 5 8 0 0 0 0 1 +observed in observed o ob obs obse BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (- 2 9 0 0 0 0 1 +ure S4H, ure u ur ure ure BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ,). 3 8 0 0 0 0 1 +that testosterone that t th tha that BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 - 1 8 0 0 0 0 1 +skin p53. skin s sk ski skin BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 . 1 8 0 0 0 0 1 +and male and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 no 0 8 0 0 0 0 1 +treatment depends treatment t tr tre trea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 . 1 5 0 0 0 0 1 +To further to T To To To BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 0 - 1 8 0 0 0 0 1 +ual behavior ual u ua ual ual BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ,, 2 8 0 0 0 0 1 +p53 binding p53 p p5 p53 p53 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 0 0 0 0 4 0 (- 2 8 0 0 0 0 1 +tion sequencing tion t ti tio tion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 [-])(.,)- 9 8 0 0 0 0 1 +affected keratinocyte affected a af aff affe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 () 2 8 0 0 0 0 1 +(Figure 4J). (figure ( (F (Fi (Fig BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ().(.., 7 8 0 0 0 0 1 +UVB-induced keratinocyte uvb-induced U UV UVB UVB- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 -), 3 8 0 0 0 0 1 +these genes these t th the thes BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 ( 1 8 0 0 0 0 1 +et al., et e et et et BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 .,;.,;.,;., 11 10 0 0 0 0 1 +1995; Slominski 1995; 1 19 199 1995 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 4 0 ;.,), 5 9 0 0 0 0 1 +hypothalamus-pituitary-gonadal (HPG) hypothalamus-pituitary-gonadal h hy hyp hypo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 --()(- 6 8 0 0 0 0 1 +draraj et draraj d dr dra drar BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 .,), 4 9 0 0 0 0 1 +axis (Figure axis a ax axi axis BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (). 3 9 0 0 0 0 1 +hypothalamus: IL6, hypothalamus: h hy hyp hypo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 :,,-,,,-(- 10 8 0 0 0 0 1 +ure 4J; ure u ur ure ure BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ;).-- 5 9 0 0 0 0 1 +sion of sion s si sio sion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ,, 2 8 0 0 0 0 1 +downstream gonads downstream d do dow down BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (.,; 4 8 0 0 0 0 1 +et al., et e et et et BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 .,).()- 7 9 0 0 0 0 1 +CRH and crh C CR CRH CRH BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 0 (.,; 4 7 0 0 0 0 1 +Schmidt et schmidt S Sc Sch Schm BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 4 0 .,). 4 8 0 0 0 0 1 +releasing hormone releasing r re rel rele BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 ()(.,), 7 8 0 0 0 0 1 +vice versa vice v vi vic vice BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (.,). 5 9 0 0 0 0 1 +and male and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (.,)., 6 8 0 0 0 0 1 +found one found f fo fou foun BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 ,,. 3 8 0 0 0 0 1 +The CRH the T Th The The BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 0 no 0 8 0 0 0 0 1 +and acts and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (- 2 8 0 0 0 0 1 +minski, 2015; minski, m mi min mins BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 ,;.,). 6 5 0 0 0 0 1 +We observed we W We We We BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 0 ,, 2 8 0 0 0 0 1 +expression in expression e ex exp expr BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 --,- 4 8 0 0 0 0 1 +sion of sion s si sio sion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 0 - 1 8 0 0 0 0 1 +p53-KO males p53-ko p p5 p53 p53- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 0 0 0 0 4 0 -(,)., 6 8 0 0 0 0 1 +observed significant observed o ob obs obse BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 ,,,, 4 8 0 0 0 0 1 +as expected as a as as as BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 0 (, 2 8 0 0 0 0 1 +2015), and 2015), 2 20 201 2015 BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 4 0 ),--, 5 8 0 0 0 0 1 +UVB-treated p53-KO uvb-treated U UV UVB UVB- BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 4 5 --,- 4 8 0 0 0 0 1 +controls (Figure controls c co con cont BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 (,)., 5 10 0 0 0 0 1 +demonstrate that demonstrate d de dem demo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 - 1 9 0 0 0 0 1 +ulates sexual ulates u ul ula ulat BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 - 1 9 0 0 0 0 1 +brain-gonadal axis. brain-gonadal b br bra brai BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 -. 2 3 0 0 0 0 1 +Solar exposure solar S So Sol Sola BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 5 - 1 7 0 0 0 0 1 +To examine to T To To To BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 5 ,- 2 8 0 0 0 0 1 +cruited volunteers cruited c cr cru crui BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (,;-) 5 9 0 0 0 0 1 +who were who w wh who who BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 no 0 8 0 0 0 0 1 +spend approximately spend s sp spe spen BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 ; 1 9 0 0 0 0 1 +this resulted this t th thi this BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 ,/- 3 9 0 0 0 0 1 +tion (measured tion t ti tio tion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (). 3 8 0 0 0 0 1 +collected on collected c co col coll BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 no 0 8 0 0 0 0 1 +the same the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 . 1 9 0 0 0 0 1 +proteome data proteome p pr pro prot BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (),- 4 9 0 0 0 0 1 +tion Z tion t ti tio tion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 -,, 3 9 0 0 0 0 1 +testosterone, and testosterone, t te tes test BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 ,(,) 4 9 0 0 0 0 1 +for estrogen, for f fo for for BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 ,, 2 9 0 0 0 0 1 +solar exposure solar s so sol sola BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 no 0 9 0 0 0 0 1 +(Figure 5A, (figure ( (F (Fi (Fig BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (,). 4 3 0 0 0 0 1 +Furthermore, we furthermore, F Fu Fur Furt BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 4 5 , 1 9 0 0 0 0 1 +21-25 years 21-25 2 21 21- 21-2 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 4 5 -(,)(- 6 9 0 0 0 0 1 +dick et dick d di dic dick BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 0 0 0 0 0 0 4 5 .,)- 4 10 0 0 0 0 1 +terone level terone t te ter tero BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (), 3 9 0 0 0 0 1 +seasonal variation seasonal s se sea seas BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 (). 3 9 0 0 0 0 1 +report that report r re rep repo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 - 1 9 0 0 0 0 1 +ation (Myerson ation a at ati atio BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (,)., 5 9 0 0 0 0 1 +pigment phenotype pigment p pi pig pigm BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 , 1 9 0 0 0 0 1 +testosterone-level data testosterone-level t te tes test BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 -- 2 9 0 0 0 0 1 +Health Services health H He Hea Heal BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 4 5 -() 3 9 0 0 0 0 1 +into two into i in int into BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 no 0 9 0 0 0 0 1 +(UVR) in (uvr) ( (U (UV (UVR BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 5 ().- 4 10 0 0 0 0 1 +cantly higher cantly c ca can cant BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (,,.)- 6 9 0 0 0 0 1 +tries with tries t tr tri trie BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 (,/) 4 9 0 0 0 0 1 +who originated who w wh who who BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 (,/) 4 9 0 0 0 0 1 +during summer during d du dur duri BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 (-)- 4 8 0 0 0 0 1 +dex values dex d de dex dex BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (,). 4 9 0 0 0 0 1 +(n = (n ( (n (n (n BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (,,.) 5 9 0 0 0 0 1 +(October-April) (Figure (october-april) ( (O (Oc (Oct BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 (-)(,). 7 9 0 0 0 0 1 +is strongly is i is is is BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 (, 2 9 0 0 0 0 1 +2004), our 2004), 2 20 200 2004 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 4 5 ), 2 9 0 0 0 0 1 +UVR in uvr U UV UVR UVR BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 4 5 .,- 3 9 0 0 0 0 1 +gest enhancement gest g ge ges gest BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 no 0 8 0 0 0 0 1 +demonstrate a demonstrate d de dem demo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 4 5 no 0 9 0 0 0 0 1 +testosterone levels testosterone t te tes test BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 4 5 . 1 5 0 0 0 0 1 +DISCUSSION DISCUSSION discussion D DI DIS DISC BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 5 10 no 0 10 0 1 0 0 1 +Fitness is fitness F Fi Fit Fitn BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 10 '(- 3 9 0 1 0 0 1 +mer et mer m me mer mer BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 10 .,). 4 9 0 1 0 0 1 +born when born b bo bor born BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 10 - 1 8 0 1 0 0 1 +duction. This duction. d du duc duct BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 10 . 1 10 0 1 0 0 1 +(J) Overlap (j) ( (J (J) (J) BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 5 10 ()--(.,),-(),, 14 10 0 1 0 0 1 +pituitary, and pituitary, p pi pit pitu BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 10 ,(.,;.,;.,;.,;.,). 18 9 0 1 0 0 1 +Data are data D Da Dat Data BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 10 ,(-),(-).,-,'(-)-(-) 20 10 0 1 0 0 1 +performed. *p performed. p pe per perf BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 10 .*.;**.;***.;,. 15 5 0 1 0 0 1 +10 Cell 10 1 10 10 10 BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 5 11 ,,, 3 10 0 1 0 0 0 +Article Article article A Ar Art Arti BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 11 no 0 10 0 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 11 no 0 10 0 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEEND NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 5 11 no 0 10 0 1 1 0 0 +humans. There humans. h hu hum huma BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 .-(-) 5 8 1 1 0 0 1 +peak in peak p pe pea peak BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 5 0 no 0 8 1 1 0 0 1 +distribution in distribution d di dis dist BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 , 1 8 1 1 0 0 1 +(Roenneberg, 2004). (roenneberg, ( (R (Ro (Roe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 (,). 4 8 1 1 0 0 1 +suggested to suggested s su sug sugg BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 8 1 1 0 0 1 +seasonality (Roenneberg seasonality s se sea seas BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 (,,). 5 8 1 1 0 0 1 +we showed we w we we we BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 , 1 7 1 1 0 0 1 +the endogenous the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 , 1 8 1 1 0 0 1 +changes in changes c ch cha chan BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 5 0 - 1 8 1 1 0 0 1 +mental cues mental m me men ment BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 (,)., 5 8 1 1 0 0 1 +backup mechanism, backup b ba bac back BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 , 1 8 1 1 0 0 1 +direct influence direct d di dir dire BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 ., 2 10 1 1 0 0 1 +which shifted which w wh whi whic BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 9 1 1 0 0 1 +conditions, characterized conditions, c co con cond BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 ,- 2 8 1 1 0 0 1 +peratures with peratures p pe per pera BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 (.,), 5 8 1 1 0 0 1 +happened in happened h ha hap happ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 9 1 1 0 0 1 +conceptions observed conceptions c co con conc BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 '( 2 8 1 1 0 0 1 +and Roenneberg, and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 ,;,). 5 8 1 1 0 0 1 +the reduced the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 . 1 7 1 1 0 0 1 +Our data our O Ou Our Our BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 0 -, 2 9 1 1 0 0 1 +dermato-endocrine organ, dermato-endocrine d de der derm BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 -,- 3 8 1 1 0 0 1 +pothalamus-pituitary-gonadal axis. pothalamus-pituitary-gonadal p po pot poth BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 --. 3 8 1 1 0 0 1 +be similar be b be be be BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 -(.,)(- 7 9 1 1 0 0 1 +bowiat and bowiat b bo bow bowi BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 ,), 3 9 1 1 0 0 1 +affect the affect a af aff affe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 ,,/- 4 9 1 1 0 0 1 +bers, the bers, b be ber bers BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 ,,--. 5 8 1 1 0 0 1 +eyes of eyes e ey eye eyes BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 , 1 8 1 1 0 0 1 +cannot exclude cannot c ca can cann BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 / 1 9 1 1 0 0 1 +affected the affected a af aff affe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 . 1 8 1 1 0 0 1 +eye activates eye e ey eye eye BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 - 1 8 1 1 0 0 1 +tem, which tem, t te tem tem, BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 ,(., 4 9 1 1 0 0 1 +2003). However, 2003). 2 20 200 2003 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 5 0 ).,, 4 8 1 1 0 0 1 +we observed we w we we we BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 - 1 8 1 1 0 0 1 +traits, as traits, t tr tra trai BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 , 1 9 1 1 0 0 1 +HPG axis, hpg H HP HPG HPG BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 5 0 , 1 8 1 1 0 0 1 +eyes, the eyes, e ey eye eyes BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 ,. 2 8 1 1 0 0 1 +Vitamin D vitamin V Vi Vit Vita BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 0 ,- 2 8 1 1 0 0 1 +pends on pends p pe pen pend BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 (.,;- 5 9 1 1 0 0 1 +chard et chard c ch cha char BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 .,);,( 6 9 1 1 0 0 1 +V) skin v) V V) V) V) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 5 0 )- 2 9 1 1 0 0 1 +thesize vitamin thesize t th the thes BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 no 0 8 1 1 0 0 1 +(Webb et (webb ( (W (We (Web BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 (.,)., 6 9 1 1 0 0 1 +conception rates, conception c co con conc BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 5 0 ,,, 3 8 1 1 0 0 1 +group as group g gr gro grou BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 (,; 3 8 1 1 0 0 1 +et al., et e et et et BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 .,;.,), 7 9 1 1 0 0 1 +phenotype might phenotype p ph phe phen BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 -- 2 9 1 1 0 0 1 +axis, thereby axis, a ax axi axis BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ,. 2 6 1 1 0 0 1 +All skin all A Al All All BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 5 ,, 2 9 1 1 0 0 1 +parasympathetic nerve parasympathetic p pa par para BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 no 0 9 1 1 0 0 1 +receive cues receive r re rec rece BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 (.,). 5 9 1 1 0 0 1 +from the from f fr fro from BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ,,, 3 9 1 1 0 0 1 +stretch, itch, stretch, s st str stre BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ,,; 3 9 1 1 0 0 1 +that transfer that t th tha that BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 no 0 9 1 1 0 0 1 +(Roosterman et (roosterman ( (R (Ro (Roo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 (.,). 5 9 1 1 0 0 1 +include thermoregulation, include i in inc incl BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ,-,, 4 9 1 1 0 0 1 +adnexal functions adnexal a ad adn adne BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 (.,), 5 9 1 1 0 0 1 +(Zhang et (zhang ( (Z (Zh (Zha BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 (.,). 5 3 1 1 0 0 1 +Another mode another A An Ano Anot BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 5 - 1 8 1 1 0 0 1 +neural signals neural n ne neu neur BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 no 0 9 1 1 0 0 1 +nerves that nerves n ne ner nerv BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ( 1 9 1 1 0 0 1 +Liberles, 2016). liberles, L Li Lib Libe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 5 5 ,).( 4 9 1 1 0 0 1 +and Liberles, and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ,), 3 9 1 1 0 0 1 +sweat, which sweat, s sw swe swea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ,-( 3 9 1 1 0 0 1 +et al., et e et et et BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 .,). 4 9 1 1 0 0 1 +glands, eccrine glands, g gl gla glan BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ,, 2 8 1 1 0 0 1 +in the in i in in in BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 5 5 (.,). 5 9 1 1 0 0 1 +of communication of o of of of BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 , 1 9 1 1 0 0 1 +and mating and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 (.,;.,; 7 9 1 1 0 0 1 +and Liberles, and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ,;.,). 6 9 1 1 0 0 1 +triggers for triggers t tr tri trig BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 - 1 9 1 1 0 0 1 +derstood, it derstood, d de der ders BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 , 1 9 1 1 0 0 1 +are controlled are a ar are are BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 (, 2 8 1 1 0 0 1 +2016). Therefore, 2016). 2 20 201 2016 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 5 5 )., 3 9 1 1 0 0 1 +the observed the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 : 1 9 1 1 0 0 1 +may alter may m ma may may BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 1 0 0 5 5 - 1 10 1 1 0 0 1 +tion. Both tion. t ti tio tion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 .. 2 9 1 1 0 0 1 +with this, with w wi wit with BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 , 1 8 1 1 0 0 1 +DNA damage dna D DN DNA DNA BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 5 5 no 0 8 1 1 0 0 1 +peeling of peeling p pe pee peel BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 (.,;, 5 9 1 1 0 0 1 +1990; Levine 1990; 1 19 199 1990 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 1 0 0 0 5 5 ;.,;.,). 8 10 1 1 0 0 1 +might be might m mi mig migh BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 no 0 9 1 1 0 0 1 +in the in i in in in BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 5 5 . 1 2 1 1 0 0 1 +It is it I It It It BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 5 no 0 9 1 1 0 0 1 +essential role essential e es ess esse BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 no 0 9 1 1 0 0 1 +sex steroids. sex s se sex sex BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 ., 2 9 1 1 0 0 1 +mate with mate m ma mat mate BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 , 1 9 1 1 0 0 1 +withdrawal of withdrawal w wi wit with BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 5 (.,).,- 7 10 1 1 0 0 1 +tomized female tomized t to tom tomi BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 5 no 0 8 1 1 0 0 1 +A A a A A A A BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 ALLCAP NODIGIT 1 0 1 0 0 0 0 0 5 10 no 0 10 1 1 0 0 1 +B B b B B B B BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 1 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 10 no 0 10 1 1 0 0 1 +Figure 5. figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 10 . 1 10 1 1 0 0 1 +sex-related steroids sex-related s se sex sex- BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 10 - 1 5 1 1 0 0 1 +(A) Predicted (a) ( (A (A) (A) BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 5 11 () 2 10 1 0 0 0 1 +blood plasma blood b bl blo bloo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 11 no 0 8 1 0 0 0 1 +single solar single s si sin sing BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 11 (,/)( 5 8 1 0 0 0 1 +humans for humans h hu hum huma BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 11 ). 2 5 1 0 0 0 1 +(B) Total (b) ( (B (B) (B) BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 5 11 ()- 3 8 1 0 0 0 1 +years (n years y ye yea year BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 11 (,). 4 9 1 0 0 0 1 +a cubic a a a a a BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 1 0 0 0 0 0 5 11 (- 2 7 1 0 0 0 1 +December; 2 december; D De Dec Dece BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 5 11 ;). 3 6 1 0 0 0 1 +Cell Reports cell C Ce Cel Cell BLOCKSTART PAGEIN SAMEFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 11 ,,, 3 10 0 0 0 0 0 +Article Article article A Ar Art Arti BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 11 no 0 10 1 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 11 no 0 10 1 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEEND NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 5 11 no 0 10 1 1 1 0 0 +procedure and procedure p pr pro proc BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 9 0 1 0 0 1 +estradiol benzoate estradiol e es est estr BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 (,). 4 9 0 1 0 0 1 +Likewise, male likewise, L Li Lik Like BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 0 , 1 9 0 1 0 0 1 +many months many m ma man many BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 5 0 (.,), 5 9 0 1 0 0 1 +most strains most m mo mos most BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 - 1 9 0 1 0 0 1 +castration (Thompson castration c ca cas cast BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 (.,). 5 5 0 1 0 0 1 +Our quantitative our O Ou Our Our BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 9 0 1 0 0 1 +have a have h ha hav have BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 9 0 1 0 0 1 +treatment. Passion treatment. t tr tre trea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 .,. 3 8 0 1 0 0 1 +UVB radiation uvb U UV UVB UVB BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 5 0 no 0 9 0 1 0 0 1 +than in than t th tha than BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 .- 2 9 0 1 0 0 1 +about physical about a ab abo abou BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 9 0 1 0 0 1 +idealizing the idealizing i id ide idea BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 , 1 9 0 1 0 0 1 +cognitive dimension cognitive c co cog cogn BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 5 0 , 1 8 0 1 0 0 1 +thoughts about thoughts t th tho thou BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 8 0 1 0 0 1 +her. The her. h he her her. BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 ., 2 8 0 1 0 0 1 +rather than rather r ra rat rath BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 /,- 3 10 0 1 0 0 1 +view board view v vi vie view BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 () 2 9 0 1 0 0 1 +oriented questions. oriented o or ori orie BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 . 1 9 0 1 0 0 1 +physiological arousal physiological p ph phy phys BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 9 0 1 0 0 1 +the precise the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 no 0 10 0 1 0 0 1 +sexual behavior sexual s se sex sexu BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 0 . 1 5 0 1 0 0 1 +STAR+METHODS STAR+METHODS star+methods S ST STA STAR BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 5 2 no 0 10 0 0 1 1 1 +Detailed methods detailed D De Det Deta BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 5 2 no 0 10 0 0 0 0 1 +and include and a an and and BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 5 2 : 1 4 0 0 0 0 1 +d KEY d d d d d BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 4 0 0 0 0 1 +d RESOURCE d d d d d BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 4 0 0 0 0 1 +B Lead b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 2 0 0 0 0 1 +B Materials b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 4 0 0 0 0 1 +B Data b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 5 0 0 0 0 1 +d EXPERIMENTAL d d d d d BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 7 0 0 0 0 1 +B Mouse b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 5 0 0 0 0 1 +B Human b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 2 0 0 0 0 1 +B Human b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 6 0 0 0 0 1 +B Human b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 4 0 0 0 0 1 +d METHOD d d d d d BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 3 0 0 0 0 1 +B UV b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 2 0 0 0 0 1 +B Melanin b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 6 0 0 0 0 1 +B Mouse b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 no 0 3 0 0 0 0 1 +B Human b B B B B BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 5 2 - 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epithelial e ep epi epit BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 7 ;;,, 4 9 0 0 0 0 1 +epithelial cells; epithelial e ep epi epit BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 7 ;.- 3 9 0 0 0 0 1 +ure 3B, ure u ur ure ure BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 7 ,( 2 9 0 0 0 0 1 +and Akhigbe, and a an and and BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 7 ,). 3 3 0 0 0 0 1 +RNA purification rna R RN RNA RNA BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 11 10 - 1 2 0 0 0 0 1 +Flash-frozen tissues flash-frozen F Fl Fla Flas BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 10 -,() 4 9 0 0 0 0 1 +Bullet Blender bullet B Bu Bul Bull BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 10 ().()'. 7 9 0 0 0 0 1 +quantified by quantified q qu qua quan BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 10 /., 3 10 0 0 0 0 1 +(Quantabio) and (quantabio) ( (Q (Qu (Qua BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 10 ()-(). 6 9 0 0 0 0 1 +Cell Reports cell C Ce Cel Cell BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 11 ,,, 3 10 0 0 0 0 0 +Article Article article A Ar Art Arti BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 11 no 0 10 0 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 11 no 0 10 0 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEEND NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 11 11 no 0 10 0 1 1 0 0 +fold changes fold f fo fol fold BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 0 ..- 3 10 0 1 0 0 1 +sented in sented s se sen sent BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 0 . 1 1 0 1 0 0 1 +Histology Histology histology H Hi His Hist BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 no 0 0 0 1 0 0 1 +Following UVB following F Fo Fol Foll BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 ,-, 3 10 0 1 0 0 1 +by staining by b by by by BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 0 (,-)(,-)'- 10 9 0 1 0 0 1 +tions. Sections tions. t ti tio tion BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 0 .(,-). 6 9 0 1 0 0 1 +Slide Scanner slide S Sl Sli Slid BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 (,),. 5 5 0 1 0 0 1 +Genotyping Genotyping genotyping G Ge Gen Geno BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 2 no 0 0 0 0 0 0 1 +Genomic DNA genomic G Ge Gen Geno BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 2 (,.;) 5 9 0 0 0 0 1 +60 min, 60 6 60 60 60 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 11 2 ,.- 3 9 0 0 0 0 1 +mix ( mix m mi mix mix BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 2 ()(),.().(). 12 9 0 0 0 0 1 +were carried were w we wer were BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 2 (),, 4 10 0 0 0 0 1 +1 min, 1 1 1 1 1 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 11 2 ,.. 3 9 0 0 0 0 1 +visualization of visualization v vi vis visu BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 2 (-,, 4 9 0 0 0 0 1 +390 bp), 390 3 39 390 390 BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 0 0 0 0 0 0 0 0 11 2 ),(.). 6 6 0 0 0 0 1 +Immunoblotting Immunoblotting immunoblotting I Im Imm Immu BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 5 no 0 1 0 0 0 0 1 +Whole skin whole W Wh Who Whol BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 5 - 1 9 0 0 0 0 1 +tease inhibitor tease t te tea teas BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 5 ()(.,).,- 9 10 0 0 0 0 1 +ples were ples p pl ple ples BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 5 ,.. 3 10 0 0 0 0 1 +were subjected were w we wer were BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 5 (.,). 5 9 0 0 0 0 1 +targeting p53 targeting t ta tar targ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 5 (,)(#,) 7 9 0 0 0 0 1 +Substrates (Pierce) substrates S Su Sub Subs BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 5 ()--(#,)- 9 9 0 0 0 0 1 +dase-conjugated anti-Rabbit dase-conjugated d da das dase BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 5 --(#,).(). 10 9 0 0 0 0 1 +QUANTIFICATION AND quantification Q QU QUA QUAN BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 11 8 no 0 10 0 0 0 0 1 +The data the T Th The The BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 8 .-' 3 8 0 0 0 0 1 +ANOVA for anova A AN ANO ANOV BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 11 8 .,(.) 5 9 0 0 0 0 1 +to examine to t to to to BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 8 -().,.- 7 10 0 0 0 0 1 +ered significant. ered e er ere ered BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 8 .(.),(.),- 10 9 0 0 0 0 1 +ware. The ware. w wa war ware BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 8 .' 2 9 0 0 0 0 1 +and the and a an and and BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 8 :. 2 8 0 0 0 0 1 +e7 Cell e7 e e7 e7 e7 BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 0 0 0 0 11 11 ,,, 3 10 0 0 0 0 0 +Article Article article A Ar Art Arti BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 11 no 0 10 0 1 0 0 0 +ll ll ll l ll ll ll BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 11 no 0 10 0 1 0 0 0 +OPEN ACCESS open O OP OPE OPEN BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 11 11 no 0 10 0 1 1 0 0 + diff --git a/grobid-trainer/resources/dataset/segmentation/corpus/raw/Pacman_journal_version.training.segmentation b/grobid-trainer/resources/dataset/segmentation/corpus/raw/Pacman_journal_version.training.segmentation new file mode 100644 index 0000000000..ff07ac6684 --- /dev/null +++ b/grobid-trainer/resources/dataset/segmentation/corpus/raw/Pacman_journal_version.training.segmentation @@ -0,0 +1,346 @@ +Highlights Highlights highlights H Hi Hig High BLOCKSTART PAGESTART NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 no 0 10 0 1 0 0 0 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGEIN NEWFONT LOWERFONT 1 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 : 1 10 0 1 1 1 1 +Xuyang Chang,Matthieu xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 1 ,, 2 10 0 1 0 0 1 +• A • • • • • BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 0 2 •, 2 10 0 0 0 0 1 +under tensile under u un und unde BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 .,- 3 9 0 0 0 0 1 +obtained analytically. obtained o ob obt obta BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 . 1 2 0 0 0 0 1 +• The • • • • • BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 0 7 •-. 3 10 0 0 0 0 1 +• This • • • • • BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 0 8 •- 2 10 0 0 0 0 1 +Image Correlation image I Im Ima Imag BLOCKEND PAGEEND SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 8 (-). 4 3 0 0 0 0 1 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGESTART SAMEFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 : 1 10 0 1 1 0 0 +Xuyang Chang xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 0 ,*,, 4 10 0 1 0 0 1 +a Université a a a a a BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 1 NOCAPS NODIGIT 1 0 1 0 0 0 0 0 0 0 -,,-,,--, 9 10 0 1 0 0 1 +Science, Gif-sur-Yvette, science, S Sc Sci Scie BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 1 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 ,--,,, 6 3 0 1 0 0 1 +b SciViz, b b b b b BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 1 NOCAPS NODIGIT 1 0 0 0 0 0 0 0 0 0 ,, 2 1 0 1 0 0 1 +A R a A A A A BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 1 0 0 0 0 0 0 0 no 0 10 0 1 0 0 1 +Keywords: Keywords: keywords: K Ke Key Keyw BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 1 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 : 1 4 0 1 0 0 1 +Elastic Buckling elastic E El Ela Elas BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 1 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 no 0 7 0 1 0 0 1 +Analytical solution analytical A An Ana Anal BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 1 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 no 0 8 0 1 0 0 1 +Geometrical instability geometrical G Ge Geo Geom BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 1 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 no 0 10 0 1 0 0 1 +A B a A A A A BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 1 0 0 0 0 0 0 1 no 0 10 0 1 0 0 1 +Analytical solutions analytical A An Ana Anal BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 -. 2 9 0 0 0 0 1 +work presents work w wo wor work BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ,, 2 9 0 0 0 0 1 +complex 3D complex c co com comp BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ., 2 9 0 0 0 0 1 +that flexural that t th tha that BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 -, 2 10 0 0 0 0 1 +considered inextensible. considered c co con cons BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 . 1 9 0 0 0 0 1 +a common a a a a a BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 1 0 0 0 0 0 0 1 ., 2 9 0 0 0 0 1 +that each that t th tha that BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ., 2 10 0 0 0 0 1 +progressively decreases, progressively p pr pro prog BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 , 1 9 0 0 0 0 1 +tensile direction. tensile t te ten tens BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ., 2 9 0 0 0 0 1 +stereo-vision shape stereo-vision s st ste ster BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 -. 2 4 0 0 0 0 1 +1. Introduction 1. 1 1. 1. 1. BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 0 3 . 1 10 0 0 0 0 1 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 3 - 1 8 1 0 0 0 1 +capacity of capacity c ca cap capa BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 (), 3 8 1 0 0 0 1 +patterns in patterns p pa pat patt BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 ()(). 5 6 1 0 0 0 1 +A considerable a A A A A BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 1 0 0 0 0 0 0 3 (, 2 9 1 0 0 0 1 +sphere) where sphere) s sp sph sphe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 3 )-(). 5 8 1 0 0 0 1 +for problems for f fo for for BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 -.,, 4 8 1 0 0 0 1 +ridges, folds, ridges, r ri rid ridg BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 ,,- 3 9 1 0 0 0 1 +thin plate thin t th thi thin BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 ();,(); 7 8 1 0 0 0 1 +Cerda and cerda C Ce Cer Cerd BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 3 ();,();,,(). 12 7 1 0 0 0 1 +now, many now, n no now now, BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 , 1 9 1 0 0 0 1 +properties Genzer properties p pr pro prop BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 ();,()., 8 8 1 0 0 0 1 +buckling instability buckling b bu buc buck BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 , 1 10 1 0 0 0 1 +in their in i in in in BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 0 3 ,,, 3 9 1 0 0 0 1 +load (the load l lo loa load BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 (). 3 5 1 0 0 0 1 +However, despite however, H Ho How Howe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 3 ,, 2 9 1 0 0 0 1 +solutions are solutions s so sol solu BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 ."-", 5 9 1 0 0 0 1 +which would which w wh whi whic BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 (); 3 9 1 0 0 0 1 +Hedgepeth (1961); hedgepeth H He Hed Hedg BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 0 3 ();(). 6 9 1 0 0 0 1 +this unilaterally this t th thi this BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 ();();,(). 10 8 1 0 0 0 1 +makes the makes m ma mak make BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 .,- 3 9 1 0 0 0 1 +restricted to restricted r re res rest BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 . 1 2 1 0 0 0 1 +In the in I In In In BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 0 3 ,,- 3 9 1 0 0 0 1 +buckling. It buckling. b bu buc buck BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 .(),- 5 9 1 0 0 0 1 +can be can c ca can can BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 ., 2 9 1 0 0 0 1 +post-buckled configurations post-buckled p po pos post BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 -.(, 4 9 1 0 0 0 1 +and the and a an and and BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 3 -)-. 4 8 1 0 0 0 1 +⋆ This ⋆ ⋆ ⋆ ⋆ ⋆ BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 1 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 0 10 ,-. 3 10 1 1 0 0 1 +* Corresponding * * * * * BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 1 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 0 10 * 1 2 1 1 0 0 1 +xuyang.chang@ens-paris-saclay.fr (X. xuyang.chang@ens-paris-saclay.fr x xu xuy xuya BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 1 0 0 10 .@--.(.);.@--.(..) 18 8 1 1 0 0 1 +https://gitlab.com/sciviz/blendic (M. https://gitlab.com/sciviz/blendic h ht htt http BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 1 0 10 ://.//(.) 9 4 1 1 0 0 1 +ORCID(s): 0000-0002-8239-4714 orcid(s): O OR ORC ORCI BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 10 ():---(.);---(.);---(..) 24 10 1 1 0 0 1 +Xuyang Chang, xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 11 ,,: 3 10 1 1 0 0 0 +Page 1 page P Pa Pag Page BLOCKSTART PAGEEND NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 0 11 no 0 10 1 1 0 0 0 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGESTART NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 : 1 10 1 0 1 0 0 +Figure 1: figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 : 1 10 1 0 0 0 1 +The paper the T Th The The BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 :, 2 9 1 0 0 0 1 +progressive evolution progressive p pr pro prog BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 0 ., 2 10 1 0 0 0 1 +buckling phenomenon buckling b bu buc buck BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 0 no 0 9 1 0 0 0 1 +sample extension. sample s sa sam samp BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 0 0 .,. 3 6 1 0 0 0 1 +2. Model 2. 2 2. 2. 2. BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 0 2 . 1 10 0 0 0 0 1 +Let us let L Le Let Let BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 2 . 1 9 0 1 0 0 1 +BC. The bc. B BC BC. BC. BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 0 2 .. 2 9 0 1 0 0 1 +denoted 1 denoted d de den deno BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 .(.)(.). 8 9 0 1 0 0 1 +is parametrized is i is is is BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 . 1 3 0 1 0 0 1 +A thin a A A A A BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 1 0 0 0 0 0 0 2 .., 3 9 0 1 0 0 1 +singularity at singularity s si sin sing BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 0 2 ,( 2 9 0 1 0 0 1 +instance, the instance, i in ins inst BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 ,-). 4 9 0 1 0 0 1 +a negligible a a a a a BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 1 0 1 0 0 0 0 0 0 2 , 1 10 0 1 0 0 1 +these points. these t th the thes BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 .""-. 5 8 0 1 0 0 1 +In the in I In In In BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 0 2 ,-. 3 9 0 1 0 0 1 +D. D. d. D D. D. D. BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 0 2 . 1 0 0 1 0 0 1 +When < when W Wh Whe When BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 2 ,,,, 4 9 0 1 0 0 1 +this segment this t th thi this BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 --.,, 5 9 0 1 0 0 1 +to the to t to to to BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 . 1 9 0 1 0 0 1 +maximum stretch maximum m ma max maxi BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 . 1 7 0 1 0 0 1 +It is it I It It It BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 2 -,-, 4 9 0 1 0 0 1 +configuration. Hence, configuration. c co con conf BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 2 ., 2 9 0 1 0 0 1 +ABCE. ABCE. abce. A AB ABC ABCE BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 0 0 0 0 0 0 0 2 . 1 0 0 1 0 0 1 +Xuyang Chang, xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 0 11 ,,: 3 10 0 1 1 1 0 +Page 2 page P Pa Pag Page BLOCKEND PAGEEND SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 0 11 no 0 1 0 1 0 0 0 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 : 1 10 1 0 1 0 0 +Figure 2: figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 0 :(). 4 10 1 0 0 0 1 +belong to belong b be bel belo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 0 , 1 9 1 0 0 0 1 +the BE the t th the the BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 0 .. 2 6 1 0 0 0 1 +The arc the T Th The The BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 ., 2 9 1 1 0 0 1 +the deformed the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ,,,.., 6 9 1 1 0 0 1 +centered in centered c ce cen cent BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 .,() 4 9 1 1 0 0 1 +the dielectrics the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 . 1 9 1 1 0 0 1 +curvature of curvature c cu cur curv BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ,. 2 9 1 1 0 0 1 +The arc the T Th The The BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 ,, 2 9 1 1 0 0 1 +deformed configuration. deformed d de def defo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 . 1 1 1 1 0 0 1 +Hence the hence H He Hen Henc BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 ,-- 3 9 1 1 0 0 1 +distance achieves distance d di dis dist BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 -() 3 10 1 1 0 0 1 +L2 norm l2 L L2 L2 L2 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 0 1 . 1 2 1 1 0 0 1 +Among such among A Am Amo Amon BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 0 1 , 1 9 1 1 0 0 1 +only be only o on onl only BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ., 2 9 1 1 0 0 1 +point and point p po poi poin BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ., 2 9 1 1 0 0 1 +the same the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 no 0 9 1 1 0 0 1 +point of point p po poi poin BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ., 2 9 1 1 0 0 1 +curvature and curvature c cu cur curv BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 . 1 9 1 1 0 0 1 +buckling problem. buckling b bu buc buck BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 ., 2 9 1 1 0 0 1 +deformed configuration. deformed d de def defo BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 0 1 . 1 1 1 1 0 0 1 +2.1. First 2.1. 2 2. 2.1 2.1. BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 9 .. 2 10 0 1 0 0 1 +Its length its I It Its Its BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 9 ,.,, 4 10 0 1 0 0 1 +polar angle polar p po pol pola BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 9 no 0 3 0 1 0 0 1 += 1 = = = = = BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 9 . 1 0 0 1 0 0 1 +The cone the T Th The The BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 9 -,,, 4 7 0 1 0 0 1 += = = = = = = BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 10 no 0 5 0 1 0 0 1 +2 2 2 2 2 2 2 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 1 10 no 0 5 0 1 0 0 1 +(1) (1) (1) ( (1 (1) (1) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 10 () 2 10 0 1 0 0 1 +Because the because B Be Bec Beca BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 10 -,-. 4 10 0 1 0 0 1 += 1 = = = = = BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 11 () 2 10 0 1 0 0 1 +(2) (2) (2) ( (2 (2) (2) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 11 () 2 3 0 1 0 0 1 +Xuyang Chang, xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 1 11 ,,: 3 10 0 1 1 0 0 +Page 3 page P Pa Pag Page BLOCKEND PAGEEND SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 1 11 no 0 1 0 1 0 0 0 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 0 : 1 10 0 1 1 0 0 +and thus and a an and and BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 0 no 0 10 0 1 0 0 0 += = = = = = = BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 2 0 1 0 0 1 +sin( ) sin( s si sin sin( BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 0 () 2 10 0 1 0 0 1 +(3) (3) (3) ( (3 (3) (3) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 0 () 2 5 0 1 0 0 1 +Conventionally, the conventionally, C Co Con Conv BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 0 ,(,),,, 7 10 0 1 0 0 1 +1 = 1 1 1 1 1 BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +⎛ ⎛ ⎛ ⎛ ⎛ ⎛ ⎛ BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +⎝ ⎝ ⎝ ⎝ ⎝ ⎝ ⎝ BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +sin( ) sin( s si sin sin( BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 0 () 2 10 0 1 0 0 1 +0 0 0 0 0 0 0 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 1 0 no 0 2 0 1 0 0 1 +cos( ) cos( c co cos cos( BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 0 () 2 10 0 1 0 0 1 +⎞ ⎞ ⎞ ⎞ ⎞ ⎞ ⎞ BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +⎠ ⎠ ⎠ ⎠ ⎠ ⎠ ⎠ BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 0 no 0 10 0 1 0 0 1 +(4) (4) (4) ( (4 (4) (4) BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 1 () 2 10 0 1 0 0 1 +The projection the T Th The The BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 1 no 0 10 0 0 0 0 1 +1 , 1 1 1 1 1 BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 1 1 ,() 3 3 0 0 0 0 1 +√ √ √ √ √ √ √ BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 1 no 0 10 0 1 0 0 1 +2 2 2 2 2 2 2 BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 1 1 no 0 10 0 0 0 0 1 +1 − 1 1 1 1 1 BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 1 1 −., 3 2 0 0 0 0 1 +the origin the t th the the BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 1 ,, 2 10 0 0 0 0 1 +⎧ ⎧ ⎧ ⎧ ⎧ ⎧ ⎧ BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 2 no 0 10 0 0 0 0 1 +⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 2 no 0 10 0 0 0 0 1 +⎨ ⎨ ⎨ ⎨ ⎨ ⎨ ⎨ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 2 no 0 10 0 0 0 0 1 +⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 2 no 0 10 0 0 0 0 1 +⎩ ⎩ ⎩ ⎩ ⎩ ⎩ ⎩ BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 2 no 0 10 0 0 0 0 1 += ( = = = = = BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 2 ()()(−()) 9 6 0 0 0 0 1 += 1 = = = = = BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 2 ()() 4 3 0 0 0 0 1 += ( = = = = = BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 2 ()[(())(−())()] 15 10 0 0 0 0 1 +(5) (5) (5) ( (5 (5) (5) BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 2 () 2 10 0 0 0 0 1 +The end the T Th The The BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 2 . 1 5 0 0 0 0 1 +More compact more M Mo Mor More BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 2 ., 2 9 0 0 0 0 1 +about the about a ab abo abou BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 2 ,,()((),()).,, 14 9 0 0 0 0 1 +elements denoted elements e el ele elem BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 2 .,- 3 9 0 0 0 0 1 +italicised fonts. italicised i it ita ital BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 2 .(,)(,(),,()) 13 9 0 0 0 0 1 +part (the part p pa par part BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 2 ().((,,,)), 11 10 0 0 0 0 1 +about the about a ab abo abou BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 2 no 0 3 0 0 0 0 1 += 1 = = = = = BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 5 ()..() 6 10 0 0 0 0 1 +(6) (6) (6) ( (6 (6) (6) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 5 () 2 2 0 0 0 0 1 +using the using u us usi usin BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 5 ,. 2 10 0 0 0 0 1 +presentation, the presentation, p pr pre pres BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 5 ,. 2 5 0 0 0 0 1 +2.2. Second 2.2. 2 2. 2.2 2.2. BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 6 .. 2 10 0 0 0 0 1 +The second the T Th The The BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 6 ,-,. 4 9 0 0 0 0 1 +second cone, second s se sec seco BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 6 ,.. 3 10 0 0 0 0 1 +The projection the T Th The The BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 6 (), 3 7 0 0 0 0 1 +cos( ) cos( c co cos cos( BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 1 6 (). 3 0 0 0 0 0 1 +Quaternions offer quaternions Q Qu Qua Quat BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 1 6 . 1 9 0 0 0 0 1 +This rotation this T Th Thi This BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 6 no 0 2 0 0 0 0 1 += (1∕ = = = = = BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 6 (), 3 1 0 0 0 0 1 +2 = 2 2 2 2 2 BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 1 8 .. 2 10 0 0 0 0 1 +(7) (7) (7) ( (7 (7) (7) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 8 () 2 4 0 0 0 0 1 +The second the T Th The The BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 8 ,,−,. 5 10 0 0 0 0 1 +This rotation this T Th Thi This BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 8 ()((),−()), 11 9 0 0 0 0 1 += 2 = = = = = BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 1 9 ()..() 6 10 0 0 0 0 1 +(8) (8) (8) ( (8 (8) (8) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 1 9 () 2 2 0 0 0 0 1 +and hence and a an and and BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 9 . 1 2 0 0 0 0 1 +Now that now N No Now Now BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 1 9 no 0 9 0 0 0 0 1 +parameter , parameter p pa par para BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 9 ,. 2 8 0 0 0 0 1 +completes the completes c co com comp BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 9 ., 2 10 0 0 0 0 1 +reference geometry, reference r re ref refe BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 9 ,,( 3 9 0 0 0 0 1 +parameter p parameter p pa par para BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 1 9 ,.,.).(), 9 9 0 0 0 0 1 +A, B, a, A A, A, A, BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 0 0 1 0 0 0 0 0 1 9 ,,-. 4 3 0 0 0 0 1 +1 Using 1 1 1 1 1 BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 1 11 -,- 3 10 0 1 0 0 1 +Xuyang Chang, xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 1 11 ,,: 3 10 0 1 1 0 0 +Page 4 page P Pa Pag Page BLOCKEND PAGEEND SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 1 11 no 0 1 0 1 0 0 0 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7 ""//////// 10 10 0 0 0 0 1 +E E e E E E E BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 8 8 no 0 10 0 0 0 0 1 +< l < < < < < BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 8 8 ""///////// 11 10 0 0 0 0 1 +F F f F F F F BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 8 8 no 0 10 0 0 0 0 1 +< l < < < < < BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 8 8 "/"/////// 10 10 1 1 0 0 1 +A A a A A A A BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 1 0 0 0 0 0 9 9 no 0 10 1 1 0 0 1 +< l < < < < < BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 9 9 ""//////// 10 10 0 0 0 0 1 +B B b B B B B BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 9 9 no 0 10 0 0 0 0 1 +< l < < < < < BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 9 9 ""//////// 10 10 0 0 0 0 1 +E E e E E E E BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 9 10 no 0 10 0 0 0 0 1 +< l < < < < < BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 9 10 ""///////// 11 10 0 0 0 0 1 +F F f F F F F BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 10 no 0 10 0 0 0 0 1 +< l < < < < < BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 10 "/"/////// 10 10 0 0 0 0 1 +C C c C C C C BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 11 no 0 10 0 0 0 0 1 +< l < < < < < BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 11 "/"//////// 11 10 1 0 0 0 1 +D D d D D D D BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 11 no 0 10 1 0 0 0 1 +Figure 3: figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 10 11 :(),(.)(.). 11 10 1 0 0 0 1 +has been has h ha has has BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 11 . 1 2 1 0 0 0 1 +Figure 4: figure F Fi Fig Figu BLOCKSTART PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 10 11 :(.). 5 10 1 1 0 0 1 +5 ∕8. 5 5 5 5 5 BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS ALLDIGIT 1 0 0 0 0 0 0 0 10 11 . 1 0 1 1 0 0 1 +Xuyang Chang, xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 10 11 ,,: 3 10 1 1 1 0 0 +Page 5 page P Pa Pag Page BLOCKEND PAGEEND SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 10 11 no 0 1 1 1 0 0 0 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 10 0 : 1 10 0 0 1 0 0 +3. Mechanical 3. 3 3. 3. 3. BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 10 0 . 1 10 0 0 0 0 0 +The above the T Th The The BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 10 0 , 1 8 1 0 0 0 1 +information has information i in inf info BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 . 1 3 1 0 0 0 1 +Let us let L Le Let Let BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 10 0 ., 2 9 1 0 0 0 1 +above description above a ab abo abov BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 . 1 9 1 0 0 0 1 +stretch displacement, stretch s st str stre BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 , 1 1 1 0 0 0 1 +is easily is i is is is BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 no 0 3 1 0 0 0 1 +| and | | | | | BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 0 , 1 3 1 0 0 0 1 +the dimensionless the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 no 0 2 1 0 0 0 1 +will be will w wi wil will BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 10 0 no 0 6 1 0 0 0 1 +. Figure . . . . . BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 0 ., 2 7 1 0 0 0 1 +, scaled , , , , , BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 0 , 1 1 1 0 0 0 1 +maximum stretch. maximum m ma max maxi BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 . 1 1 1 0 0 0 1 +In terms in I In In In BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 10 0 ,-. 3 8 1 0 0 0 1 +The curvature the T Th The The BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 10 0 (),, 4 9 1 0 0 0 1 +(respectively lower) (respectively ( (r (re (res BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 10 0 (). 3 9 1 0 0 0 1 +yielding, and yielding, y yi yie yiel BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 ,, 2 9 1 0 0 0 1 +validity of validity v va val vali BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 .,(). 5 9 1 0 0 0 1 +relative extension relative r re rel rela BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 ., 2 10 1 0 0 0 1 +in Figure in i in in in BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 1 0 0 0 0 0 10 0 .,(), 5 9 1 0 0 0 1 +hence the hence h he hen henc BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 . 1 9 1 0 0 0 1 +interpreted as interpreted i in int inte BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 ,,-., 5 9 1 0 0 0 1 +force diverges, force f fo for forc BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 10 0 ,( 2 1 1 0 0 0 1 +− Δ − − − − − BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 10 0 −)−.. 5 5 1 0 0 0 1 +(a) Stretching (a) ( (a (a) (a) BLOCKSTART PAGEIN SAMEFONT LOWERFONT 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 10 (), 3 10 1 0 0 0 1 +(b) Curvature (b) ( (b (b) (b) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 10 () 2 4 1 0 0 0 1 +Figure 5: figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 10 :(),,(),, 9 10 1 0 0 0 1 +Δ ∕Δ δ Δ Δ Δ Δ BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP NODIGIT 1 0 0 0 0 0 0 0 11 10 no 0 0 1 0 0 0 1 +Xuyang Chang, xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 11 ,,: 3 10 0 1 1 0 0 +Page 6 page P Pa Pag Page BLOCKEND PAGEEND SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 11 11 no 0 1 0 1 0 0 0 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 : 1 10 1 0 1 0 0 +(a) Total (a) ( (a (a) (a) BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 0 (), 3 4 1 0 0 0 1 +(b) Tensile (b) ( (b (b) (b) BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 0 (), 3 10 1 0 0 0 1 +Figure 6: figure F Fi Fig Figu BLOCKSTART PAGEIN NEWFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 :()() 5 10 1 0 0 0 1 +4. Conclusion 4. 4 4. 4. 4. BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 11 1 . 1 10 1 0 0 0 1 +This paper this T Th Thi This BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 1 - 1 9 1 0 0 0 1 +and whose and a an and and BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 . 1 7 1 0 0 0 1 +Although the although A Al Alt Alth BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 1 , 1 9 1 0 0 0 1 +geometry would geometry g ge geo geom BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 -., 3 9 1 0 0 0 1 +angular sectors angular a an ang angu BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 () 2 9 1 0 0 0 1 +(with an (with ( (w (wi (wit BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 0 0 0 0 0 0 11 1 (-).-, 6 9 1 0 0 0 1 +is identical. is i is is is BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 ., 2 9 1 0 0 0 1 +stability, or stability, s st sta stab BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 ,-. 3 5 1 0 0 0 1 +One may one O On One One BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 1 ()( 3 9 1 0 0 0 1 +to either to t to to to BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 ),,..,, 7 10 1 0 0 0 1 +cutting out cutting c cu cut cutt BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 , 1 10 1 0 0 0 1 +the validity the t th the the BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 . 1 2 1 0 0 0 1 +Thus, the thus, T Th Thu Thus BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 1 ,,. 3 9 1 0 0 0 1 +As such, as A As As As BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 1 ,, 2 9 1 0 0 0 1 +displacements, as displacements, d di dis disp BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 1 ,-, 3 9 1 0 0 0 1 +von Hansen, von v vo von von BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 1 0 0 0 0 0 0 11 1 ,,();,();(). 12 9 1 0 0 0 1 +For the for F Fo For For BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 1 ,. 2 8 1 0 0 0 1 +Xuyang Chang, xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 11 ,,: 3 10 0 1 1 0 0 +Page 7 page P Pa Pag Page BLOCKEND PAGEEND SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 11 11 no 0 1 0 1 0 0 0 +Buckling of buckling B Bu Buc Buck BLOCKSTART PAGESTART SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 : 1 10 0 0 1 0 0 +CRediT authorship credit C CR CRe CRed BLOCKSTART PAGEIN NEWFONT HIGHERFONT 1 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 no 0 10 0 0 0 0 0 +Xuyang Chang: xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN SAMEFONT LOWERFONT 1 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 :,,-. 5 9 0 0 0 0 1 +Vitse: Software, vitse: V Vi Vit Vits BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 1 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 :,.:,,- 7 10 0 0 0 0 1 +draft preparation, draft d dr dra draf BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 1 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 0 ,. 2 2 0 0 0 0 1 +References References references R Re Ref Refe BLOCKSTART PAGEIN SAMEFONT HIGHERFONT 1 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 no 0 10 0 0 0 0 1 +Ben Amar, ben B Be Ben Ben BLOCKSTART PAGEIN NEWFONT LOWERFONT 0 0 INITCAP NODIGIT 0 1 0 0 0 0 0 0 11 0 ,.,,.,...:, 11 9 0 0 0 0 1 +Sciences 453, sciences S Sc Sci Scie BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 ,-. 3 1 0 0 0 0 1 +Cerda, E., cerda, C Ce Cer Cerd BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,..,. 10 6 0 0 0 0 1 +Chaïeb, S., chaïeb, C Ch Cha Chaï BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,,..,..,. 14 7 0 0 0 0 1 +Genzer, J., genzer, G Ge Gen Genz BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,.:.,-. 12 9 0 0 0 0 1 +doi:10.1039/B516741H. doi:10.1039/B516741H. doi:10.1039/b516741h. d do doi doi: BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 1 0 0 0 11 0 :./. 4 1 0 0 0 0 1 +Godoy, L.A., godoy, G Go God Godo BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,..,.:.. 8 5 0 0 0 0 1 +Hamm, E., hamm, H Ha Ham Hamm BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,,.,..,. 13 7 0 0 0 0 1 +Hu, X., hu, H Hu Hu, Hu, BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,.. 8 9 0 0 0 0 1 +Intelligence 34, intelligence I In Int Inte BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 ,-.:./... 9 3 0 0 0 0 1 +Keller, C.G., keller, K Ke Kel Kell BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,..,,.,,..,.-,: 15 9 0 0 0 0 1 +Symposium (IV), symposium S Sy Sym Symp BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 (),.-.:./... 12 3 0 0 0 0 1 +Mahmood, O., mahmood, M Ma Mah Mahm BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,,.,.-.,. 14 7 0 0 0 0 1 +Mansfield, E., mansfield, M Ma Man Mans BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,.,,:.,. 10 9 0 0 0 0 1 +305-320. 305-320. 305-320. 3 30 305 305- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 11 0 -. 2 0 0 0 0 0 1 +Ouchi, T., ouchi, O Ou Ouc Ouch BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,,.,,..,.. 15 10 0 0 0 0 1 +Applied Materials applied A Ap App Appl BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 ,-.:://././.,:./., 18 8 0 0 0 0 1 +arXiv:https://doi.org/10.1021/acsami.8b04916. pMID: arxiv:https://doi.org/10.1021/acsami.8b04916. a ar arX arXi BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 1 0 0 1 11 0 :://././..:. 12 4 0 0 0 0 1 +Reissner, E., reissner, R Re Rei Reis BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,......,-. 12 8 0 0 0 0 1 +Steigmann, D.J., steigmann, S St Ste Stei BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,..,.-...,-. 12 9 0 0 0 0 1 +Stein, M., stein, S St Ste Stei BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,..,... 10 8 0 0 0 0 1 +Strecha, C., strecha, S St Str Stre BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,,.,,.,,.,.- 17 9 0 0 0 0 1 +resolution imagery, resolution r re res reso BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS NODIGIT 0 0 1 0 0 0 0 0 11 0 ,:,.-.:./... 12 8 0 0 0 0 1 +Thompson, D.W., thompson, T Th Tho Thom BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,..,.... 8 6 0 0 0 0 1 +Vitse, M., vitse, V Vi Vit Vits BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,.-.://.//. 13 5 0 0 0 0 1 +Wang, W.B., wang, W Wa Wan Wang BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,..,,.,.., 10 9 0 0 0 0 1 +343-359. 343-359. 343-359. 3 34 343 343- BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 ALLCAP CONTAINSDIGITS 0 0 0 0 0 0 0 0 11 0 -. 2 0 0 0 0 0 1 +Xu, B., xu, X Xu Xu, Xu, BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,,.,,..,./. 13 9 0 0 0 0 1 +Materials 26, materials M Ma Mat Mate BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 1 0 0 0 0 0 11 0 ,-.:://..///./.,:://./ 22 7 0 0 0 0 1 +10.1002/adma.201400992, arXiv:https://onlinelibrary.wiley.com/doi/pdf/10.1002/adma.201400992. 10.1002/adma.201400992, 1 10 10. 10.1 BLOCKIN PAGEIN SAMEFONT SAMEFONTSIZE 0 0 NOCAPS CONTAINSDIGITS 0 0 0 0 1 0 0 0 11 0 ./.,:://..///./.. 17 6 0 0 0 0 1 +Yamaki, N., yamaki, Y Ya Yam Yama BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 0 ,.,... 6 5 0 0 0 0 1 +Xuyang Chang, xuyang X Xu Xuy Xuya BLOCKSTART PAGEIN NEWFONT HIGHERFONT 0 0 INITCAP NODIGIT 0 0 0 0 0 0 0 0 11 11 ,,: 3 10 0 1 1 0 0 +Page 8 page P Pa Pag Page BLOCKEND PAGEIN SAMEFONT SAMEFONTSIZE 0 0 INITCAP NODIGIT 0 1 1 0 0 0 0 0 11 11 no 0 1 0 1 0 0 0 + diff --git a/grobid-trainer/resources/dataset/segmentation/corpus/tei/1-s2.0-S2211124721010135-main.training.segmentation.tei.xml b/grobid-trainer/resources/dataset/segmentation/corpus/tei/1-s2.0-S2211124721010135-main.training.segmentation.tei.xml new file mode 100644 index 0000000000..03d60bba6e --- /dev/null +++ b/grobid-trainer/resources/dataset/segmentation/corpus/tei/1-s2.0-S2211124721010135-main.training.segmentation.tei.xml @@ -0,0 +1,133 @@ + + + + + + + Article Skin exposure to UVB light induces a skin-brain-gonad axis and sexual behavior Graphical abstract Highlights d UVB exposure increases circulating sex-steroid levels in mice and humans d UVB exposure enhances female attractiveness and receptiveness toward males d UVB exposure increases females' estrus phase, HPG axis hormones, and follicle growth d Skin p53 regulates UVB-induced sexual behavior and ovarian physiological changes Authors Roma Parikh, Eschar Sorek, Shivang Parikh, ..., Ruth Percik, Aron Weller, Carmit Levy Correspondence carmitlevy@post.tau.ac.il + + In brief Parikh et al. find that UVB exposure triggers a skin-brain-gonadal axis through skin p53 activation. UVB exposure increases in female mice sexual responsiveness and attractiveness, hypothalamus-pituitary-gonadal axis hormone levels, ovary size, and estrus duration, as well as male-female interactions. Solar exposure in humans enhances romantic passion and positively correlates with male testosterone levels. + + Parikh et al., 2021, Cell Reports 36, 109579 August 24, 2021 ª 2021 The Authors. https://doi.org/10.1016/j.celrep.2021.109579 ll Article Skin exposure to UVB light induces a skin-brain-gonad axis and sexual behavior Roma Parikh, 1 Eschar Sorek, 1 Shivang Parikh, 1 Keren Michael, 2 Lior Bikovski, 3,4 Sagi Tshori, 5,6 Galit Shefer, 5 Shira Mingelgreen, 5 Taiba Zornitzki, 7 Hilla Knobler, 7 Gabriel Chodick, 8,23 Mariya Mardamshina, 1 Arjan Boonman, 9 Noga Kronfeld-Schor, 9 Hadas Bar-Joseph, 10 Dalit Ben-Yosef, 11,12 Hadar Amir, 13,14 Mor Pavlovsky, 15 Hagit Matz, 15,16 Tom Ben-Dov, 1,17 Tamar Golan, 1 Eran Nizri, 15,16 Daphna Liber, 18 Yair Liel, 19 Ronen Brenner, 20 Yftach Gepner, 21 Orit Karnieli-Miller, 22 Rina Hemi, 23 Ruth Shalgi, 24 Tali Kimchi, 25 Ruth Percik, 16,23 Aron Weller, 26 and Carmit Levy 1,27, * 1 Department of Human Genetics and Biochemistry, Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv 69978, Israel 2 Department of Human Services, The Max Stern Yezreel Valley Academic College, Jezreel Valley 1930600, Israel 3 The Myers Neuro-Behavioral Core Facility, Sackler School of Medicine, Tel Aviv University, Tel Aviv 69978, Israel 4 School of Behavioral Sciences, Netanya Academic College, Netanya 4223587, Israel 5 Research Authority, Kaplan Medical Center, Rehovot, Israel 6 Department of Biochemistry and Molecular Biology, Institute for Medical Research Israel-Canada, The Hebrew University, Jerusalem, Israel 7 Diabetes, Endocrinology and Metabolic Disease Institute, Kaplan Medical Center, Hadassah School of Medicine, Hebrew University in Jerusalem, Rehovot, Israel 8 Maccabitech, Maccabi Healthcare Services, Tel Aviv, Israel 9 School of Zoology, Faculty of Life Sciences and the Sagol School of Neuroscience, Tel Aviv University, Tel Aviv 6997801, Israel 10 The TMCR Unit, Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv 69978, Israel 11 IVF Lab & Wolfe PGD-Stem Cell Lab, Fertility Institute, Tel Aviv Sourasky Medical Center, Tel Aviv, Israel 12 Department of Cell Biology and Development, Sackler Faculty of Medicine & Sagol School of Neuroscience, Tel Aviv University, Tel Aviv, Israel 13 Fertility Institute, Tel Aviv Sourasky Medical Center, Tel Aviv, Israel 14 Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv, Israel 15 Department of Dermatology, Tel Aviv Sourasky (Ichilov) Medical Center, Tel Aviv 6423906, Israel 16 Sackler School of Medicine, Tel Aviv University, Tel Aviv 69978, Israel 17 Department of Otolaryngology, Head and Neck surgery, Meir Medical Center, Kfar Saba 4428164, Israel 18 Faculty of Humanities, Education and Social Sciences, Ono Academic College, Kiryat Ono, Israel 19 Faculty of Health Sciences, Ben-Gurion University of the Negev, Beer-Sheva, Israel 20 Institute of Pathology, E. Wolfson Medical Center, Holon 58100, Israel 21 School of Public Health, Sackler Faculty of Medicine and Sylvan Adams Sports Institute, Tel Aviv University, Tel Aviv 69978, Israel 22 Department of Medical Education, Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv 69978, Israel 23 Institute of Endocrinology, Chaim Sheba Medical Center, Tel-Hashomer, Israel 24 Department of Cell and Developmental Biology, Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv 69978, Israel 25 Department of Neurobiology, Weizmann Institute of Science, Rehovot, Israel 26 Department of Psychology and the Gonda Brain Research Center, Bar-Ilan University, Ramat Gan 5290002, Israel 27 Lead contact *Correspondence: carmitlevy@post.tau.ac.il https://doi.org/10.1016/j.celrep.2021.109579 SUMMARY Ultraviolet (UV) light affects endocrinological and behavioral aspects of sexuality via an unknown mechanism. Here we discover that ultraviolet B (UVB) exposure enhances the levels of sex-steroid hormones and sexual behavior, which are mediated by the skin. In female mice, UVB exposure increases hypothalamus-pituitary-gonadal axis hormone levels, resulting in larger ovaries; extends estrus days; and increases anti-Mullerian hormone (AMH) expression. UVB exposure also enhances the sexual responsiveness and attractiveness of females and male-female interactions. Conditional knockout of p53 specifically in skin keratinocytes abol-ishes the effects of UVB. Thus, UVB triggers a skin-brain-gonadal axis through skin p53 activation. In humans, solar exposure enhances romantic passion in both genders and aggressiveness in men, as seen in analysis of individual questionaries, and positively correlates with testosterone level. Our findings suggest opportunities for treatment of sex-steroid-related dysfunctions. + + INTRODUCTION Exposure to the ultraviolet (UV) component of solar radiation in-creases testosterone levels in men (Myerson and Neustadt, + + 1939), estradiol and testosterone levels in fish (Mitchell et al., 2014), and the attractiveness of hens to cockerels (Jones et al., 2001). This suggests that exposure to UV plays a major role in the regulation of sexuality on both behavioral and endocrinological Cell Reports 36, 109579, August 24, 2021 ª 2021 The Authors. 1 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). ll OPEN ACCESS levels. The mechanism underlying this effect remains poorly understood. The reproductive endocrine system includes organs such as the hypothalamus, pituitary, thyroid, pineal and adrenal glands, ovaries, and testes (Rawindraraj et al., 2019). The system is gov-erned by the hypothalamus, which sends signaling mediators such as gonadotropin-releasing hormone (GnRH) to the pituitary gland to induce release of follicle-stimulating hormone (FSH) and luteinizing hormone (LH). In turn, these hormones transmit sig-nals to the male and female gonads (Rawindraraj et al., 2019), the testicles and the ovaries, respectively, promoting sex-steroid production and gametogenesis (Rawindraraj et al., 2019). In fe-males, FSH and LH stimulate the production of estrogen and progesterone, which regulate ovulation and pregnancy (Barbieri, 2014; Rosner and Sarao, 2019). In most female mammals, sexual activity and receptivity are confined to the preovulatory period (Wallner et al., 2019) and the estrus phase (Kim et al., 2016) of the menstrual/estrous cycle. These cyclic hormonal changes dictate sexual behavior. In humans, it has been shown that men respond more favorably to a woman's scent (Kuukasja ¨rvi et al., 2004) or facial appearance (Roberts et al., 2004) during the preovulatory phase of the woman's cycle. The skin, consisting of epidermal, dermal, and hypodermal layers, is the largest body organ (Golan et al., 2015; Yousef et al., 2020). In contrast to the vast literature on the skin as a hor-monal target (Slominski and Wortsman, 2000; Zouboulis, 2004), its role as a source of hormones is less understood. The skin is capable of producing and releasing hormones including vitamin D, various peptides derived from proopiomelanocortin (POMC), b-endorphin (Fell et al., 2014), and corticotropin-releasing hor-mone (CRH) (Skobowiat and Slominski, 2015), resembling the central regulatory paradigms of the hypothalamic-pituitary-adre-nal axis (Slominski and Wortsman, 2000; Slominski et al., 2015). b-endorphin release into the circulation is implicated in sun-addiction behavior (Fell et al., 2014). Furthermore, ultraviolet B (UVB) exposure is linked to increased expression of the stress-response hormone CRH, as well as with components of the hy-pothalamus-pituitary-adrenal (HPA) axis, including adrenocorti-cotropic hormone (ACTH) and corticosterone, both in the skin and in the plasma; stimulation of corticosterone production was seen in the absence of pituitary involvement (Skobowiat and Slominski, 2015; Skobowiat et al., 2011, 2017; Slominski et al., 2013, 2018). These data situate the skin as an important component in the regulation of stress-related behaviors and sun-addiction behavior. Given that the furless human skin contacts the environment in general and the sun's rays in particular, it is conceivable that the skin plays a role in hormone-related social, sexual, and reproduc-tive behavior, but this assumption has yet to be verified. Solar ra-diation (bright light and radiant heat) from the sun includes infrared, visible, and UV. UV light is further divided into UVA, UVB, and UVC (Ho ¨lzle and Ho ¨nigsmann, 2005). Here, we report, using behavioral tests in mice, that UVB treatment significantly enhanced the sex-ual responsiveness of females, which in turn increases male sexual arousal and behavior. Furthermore, UVB treatment significantly enhanced the desire for male-female interaction and female attractiveness to males. In terms of physiological changes, we found that UVB treatment increased the incidence of estrus days + + and enhanced ovary size and anti-Mullerian hormone (AMH) expression in mice. Mechanistically, we demonstrated that the UVB-induced sexual behavior and hormonal changes are medi-ated by p53 activation in epidermal keratinocytes through a skin-brain-gonadal axis. We also demonstrated, using question-naires, that UVB treatment enhanced romantic passion in both men and women and aggressiveness in men and is positively correlated with testosterone level. This study suggests that UVB phototherapy has potential as an ancillary treatment of sex-ste-roid-related dysfunctions. RESULTS Daily UVB treatment enhances female sexual attractiveness and receptiveness To investigate the systemic effects of UVB radiation, we exposed dorsally shaved mice to a single UVB dose of 800 mJ/cm 2 (Svobodova ´et al., 2012) or to 50 mJ/cm 2 daily for 8 weeks, a sub-erythemic UVB dose that is equivalent to 20-30 min of midday sun (Fell et al., 2014). Blood samples were collected 24 h after UVB treatment for the acute model and after 8 weeks of UVB treatment for chronic models (Figure S1A). As expected (Malcov-Brog et al., 2018), skin pigmentation increased in the tails of both male and female mice upon chronic exposure compared with mock treatment (control) (Figure S1B). Furthermore, we found significant positive activation Z score for upstream regula-tors b-estradiol, testosterone, and estrogen in male mice (Fig-ure 1A, right panel) and for estrogen, androgen, b-estradiol, and progesterone in female mice after chronic UVB treatment compared with the controls (Figure 1A, right panel). Acute exposure of mice did not result in significant activation of sex-ste-roid signaling (Figure S1C), suggesting that the chronic dose of UVB exposure is a more physiologically relevant model. Sex ste-roids released from gonads activate the neuronal pathways involved in sexual behavior in zebrafish (Pradhan and Olsson, 2015), and testosterone injections enhance mounting behavior in males by priming the neural tissues mediating the mating behavior in guinea pigs (Phoenix et al., 1959). These data suggest that UVB treatment enhances sex-steroid signaling in both male and female mice and thus might influence mating behavior. Mating behavior in rodents consists of several behaviors. At-tractivity (Beach, 1976) involves efforts to elicit a response from the opposite sex by vocalizations and olfactory and visual stimuli (Beach, 1976). Proceptivity includes estrus responsive-ness and purposive vocalizations (Beach, 1976), and female receptivity involves lordosis behavior that involves readiness to be involved in copulation, which culminates in successful intro-mission (Beach, 1976). To assess the effect of UVB on reproduc-tive behavior, we conducted a mating test (Figure 1B) in which a sexually naive female, either UVB treated or mock treated (con-trol), was introduced into the home cage of a sexually naive male that had been UVB treated or mock treated (control). Sexual receptivity in rodents varies with the stage of the female estrous cycle (Zinck and Lima, 2013). To exclude the differences in fe-male sexual receptivity, we evaluated the estrous cycle of the fe-male by vaginal cytology (Caligioni, 2009) and used only females in the estrus/proestrus stage for the mating test. During the 1-h mating test, we monitored vocalization, sniffing, self-grooming, + + 2 Cell Reports 36, 109579, August 24, 2021 Article + + ll OPEN ACCESS + + intromission, lordosis, and ejaculation as has been done previ-ously (Achiraman et al., 2014; Beach, 1976; Haga et al., 2010; Kimchi et al., 2007). To determine the effect of UVB exposure on attractivity, we as-sessed ultrasonic vocalizations (USVs) (Costantini and D'Amato, 2006). During a male-female encounter, male mice exclusively Figure 1. Daily UVB treatment enhances female sexual attractiveness and receptiveness (A) Activation Z scores of predicted upstream regulators of mice upon UVB treatment for 6 weeks. (B) Schematic representation of the mating test with male and female mice treated with UVB or control for 6 weeks. (C-E) Total number, total time, and mean dominant frequency of USVs by control males in the presence of UVB-or control-treated females. (F) Representative photograph of sexual behavior parameters. (G) Total number of control male anogenital sniffing events of UVB-or control-treated females. (H) Total time self-grooming by control males in the presence of UVB-or control-treated females. (I) Latency intromission (left) and total number of intromissions (right) by control males on UVB-or control-treated females. (J) UVB-or control-treated females' lordosis quotient upon control male mounting. (K) Total number of anogenital sniffing events (left) and total time self-grooming (right) for control females in the presence of UVB-or control-treated males. (L) Plasma testosterone levels of males upon 8 weeks of UVB or control treatment. (M) Total number of anogenital sniffing events by UVB-or control-treated males on a control-treated female. (N) Total time spent self-grooming by UVB-or control-treated males for a control-treated female. (O) Latency intromission (left panel), duration of intromission (middle panel), and total number of intromissions (right panel) by a UVB-or control-treated male on a control female. (P) Total number of anogenital sniffing events (left) and total time self-grooming (right) by UVB-or control-treated females on a control-treated male. Data are means ± SEM, n = 3 (A and C-E), n = 7 (G-K and M-P), n = 8 (L). For data analysis, a two-tailed, unpaired Student's t test was performed. *p < 0.05; **p < 0.01; ***p < 0.001; ns, not statistically significant. + + Cell Reports 36, 109579, August 24, 2021 3 Article ll OPEN ACCESS + + dominate the calls (frequency of 40-70 kHz), a behavior posi-tively related to their level of sexual arousal (Kerchner, 2004). We evaluated the effect of UVB treatment on the USVs of control males in the presence of a UVB-treated or control female as a stimulus. The audio recordings were then extracted into several parameters, including total call duration and its mean dominant frequency using UltraVox XT 3.1 software. The total number of control male calls (Figure 1C; Figure S1D) and their total duration (Figure 1D) were significantly higher when males were matched with UVB-treated females than with control females. There was no difference in frequencies of the calls with the highest energy (mean dominant frequency) (Figure 1E), indicating that the dura-tion and number of calls changed but the type of call did not. These results suggest that UVB treatment of females enhances their attractivity as indicated by the relative increase in male vocalization parameters. Next, we evaluated the effect of UVB treatment on female attractiveness by measuring anogenital sniffing behavior (Clarke and Trowill, 1971) (Figure 1F; Video S1). Males exhibited similar sniffing behavior during the 1-h test session regardless of the treatment the female received (Figure 1G). Self-grooming re-flects an attraction to the opposite sex (Achiraman et al., 2014; Haga et al., 2010), and the total duration of grooming (Figure 1F; Videos S2A and S2B) was significantly enhanced for males in the presence of UVB-treated females compared with control fe-males (Figure 1H). Furthermore, we analyzed intromission, which is a measurement of a successful mating event by the male on a receptive female (Haga et al., 2010) (Figure 1F; Video S3). The la-tency to intromit was significantly shorter for UVB-treated than for control females (Figure 1I, left panel). The duration (Fig-ure S1E) and total number of successful intromissions (Figure 1I, right panel) were significantly greater when males were mated with UVB-treated females than with controls. This indicated that males are more attracted to and subsequently sexually more successful with UVB-treated females. During intromission, the receptiveness of the female is measured by her lordotic response (Haga et al., 2010) (Figure 1F; Video S3). We found a significant increase in the lordosis quo-tient of UVB-treated females toward males compared with that exhibited by mock-treated females (Figure 1K), suggesting that UVB enhances female receptiveness. No change was observed in the rearing behavior of females (Figure S1F), indicating no dif-ference in forced intromission encounters. Finally, male ejaculation did not significantly differ between UVB-or mock-treated females (Figure 1F; Figure S1G; Video S4). Similar tests were performed using UVB-treated males, and differences between the number of ejaculations did not differ when females were UVB or mock treated (Figure S1H). This demonstrates that UVB treatment significantly enhances the attractiveness and responsiveness of female mice, which in turn increases the sexual arousal and behavior of males. Next, we measured the effect of UVB on male attractiveness by testing anogenital sniffing and grooming of a female in the presence of UVB-treated or control males. Females exhibited significantly more anogenital sniffing events toward UVB-treated males compared with control males (Figure 1K, left panel). No significant difference was observed in female grooming behavior (Figure 1K, right panel). Similar tests were performed using UVB-treated females, demonstrating same significant trend toward the UVB-treated male compare to control male (Figure S1I), sug-gesting an increase in male odor upon UVB exposure. Because testosterone is involved in synthesis and secretion of pheromones (Asaba et al., 2014), male attractivity (Mitra and Sapolsky, 2012; Schellino et al., 2016), and social and emotional bonds with females (van der Meij et al., 2012), we found signifi-cantly higher plasma total testosterone levels in UVB-than mock-treated male mice (Figure 1L). We found no change in the level of testosterone in female mice upon UVB exposure (Figure S1J). Next, we tested the effect of UVB treatment on the social/sex-ual behavior of males and females. No significant differences were observed in anogenital sniffing, grooming behavior, latency to intromit, duration of intromission, and number of intromissions by control or UVB-treated male mice mated with control-treated females (Figures 1M-1O). However, UVB treatment significantly increased female anogenital sniffing and grooming behavior to-ward control males (Figure 1P). This suggests that UVB treat-ment enhances social/sexual behavior of females. Because grooming behavior is also a known characteristic of anxiety in ro-dents (Kalueff et al., 2016), we evaluated anxiety in an elevated plus maze test, a classic measure of anxiety-related behavior (Walf and Frye, 2007). Our results demonstrate that males treated with UVB displayed a significant reduction in their anxiety level compared with the control males (Figure S1K), as was shown previously for male mice (Fell et al., 2014). No difference was observed in the anxiety levels of females (Figure S1L). These data support our conclusion that an increase in grooming behavior might be indicative of attraction to the opposite sex ir-respective of anxiety. Altogether, our data demonstrate that UVB exposure enhances female attraction, the testosterone level in males, and the social/sexual behavior of females. UVB treatment enhances male and female sexual behavior and female attraction Sexual selection is based on the preference for social proximity to an attractive partner (Puts, 2010). Given our findings that UVB treatment significantly increases the attractiveness of males and females, we investigated odor-triggered preferences and mate selection through social proximity using the three-chamber test (Yang et al., 2011), in which a subject's preference for one of two stimuli is monitored (Figure 2A). The subject was a UVB-or mock-treated male or female mouse, and the stimulus was a UVB-or mock-treated male, a control female mouse, or a novel object. The wire cages in this test setup ensure that the social behavioral analysis is limited to the subject mouse (Yang et al., 2011). This setup allows olfactory, auditory, and visual stimuli. All females were in the estrus/proestrus stage. We found that when the stimulus was a UVB-treated or a mock-treated control female mouse, the males exhibited a clear preference for the UVB-treated female (Figure 2B). We analyzed our results in terms of the latency of the subject mouse to venture into a stimulus compartment, the frequency of visits, and the visit duration. Our analysis showed that it took significantly less time for the male to move near the wire cage (Figure 2C, left panel) or into the zone of the wire cage (Figure S2A, left panel) of a UVB-treated female than a mock-treated control female. Furthermore, + + 4 Cell Reports 36, 109579, August 24, 2021 Article + + ll OPEN ACCESS + + A B D G F H I E C (legend on next page) + + Cell Reports 36, 109579, August 24, 2021 5 Article ll OPEN ACCESS + + the subject males preferred to visit and stay near the wire cage (Figure 2C, middle and right panels) and in the zone of the wire cage (Figure S2A, middle and right panels) of a UVB-treated fe-male rather than a control female. Similar trends of attraction to-ward the UVB-treated female were observed when the subject was a UVB-treated male (Figures S2B and S2C). These data demonstrate a significant male preference for social proximity to UVB-treated females, supporting our hypothesis that UVB treatment enhances female attractiveness. Next, we examined the effect of UVB on male attractiveness. The subject female demonstrated no difference in the latency to visit, the frequency of visits, or the total time spent near or in the zone of a wire cage containing a UVB-treated or a mock-treated male stimulus (Figures 2D and 2E; Figure S2D). Similar trends were observed when the subject was UVB-treated female except in a few parameters (Figures S2E and S2F), which might be a result of an interaction between two UVB-treated animals. Next, to check the effect of UVB on social behavior, we deter-mined the latency to visit, the frequency of visits, and the total time spent by UVB-treated or mock-treated males with a mock-treated control female. We found a significant decrease in the latency to visit and a significant increase in the total time spent near the female by the UVB-treated male subjects compare to the control male subjects (Figures 2F and 2G). No difference was observed in the frequency to visit the female (Fig-ure 2G, middle panel). This suggests that UVB treatment en-hances male social behavior. Furthermore, we observed a signif-icant decrease in the latency to visit and a significant increase in the frequency of visits near a wire cage containing a male by the UVB-treated female subjects compared with the control female subjects (Figures 2H and 2I), although no difference was observed in the total time spent next to a male (Figure 2I, right panel). This suggests that UVB treatment enhances female so-cial behavior. To rule out the possibility that the results are due to mice pausing in the center of the chamber, we measured the total time spent by the subject mouse in the center of the chamber. Notably, no difference was found between the two male subject groups (Figure S2G) or the two female subject groups (Fig-ure S2H). This confirmed that the observed desire for social proximity in both male and female mice results from the UVB treatment. To validate that male preference for a UVB-treated female mouse results from sexual signals, we repeated the three-cham-ber test with a female subject, a UVB-treated female stimulus, and a mock-treated control female stimulus (Figures S2I-S2L). No variation in the social preference of the female subject was observed (Figures S2I-S2L), supporting our hypothesis that UVB treatment induces female sexual attractiveness to males. We also performed the test with a female as a subject and a male and a novel object (plastic block) as stimuli. The results clearly showed that UVB-treated females preferred to visit and stay near the male rather than near the novel object (Figures S2I and S2M); the mock-treated control female demonstrated no such preference (Figures S2M-S2O). These data support our hypothesis that UVB treatment increases the social behavior of female mice with male mice. Altogether, our observations show that UVB treatment significantly enhances the desire for male-female interaction and significantly increases the attrac-tiveness of female mice. UVB treatment induces romantic passion in humans To conduct a controlled study of the effect of UVB treatment in humans, we assembled a cohort of patients who were undergo-ing phototherapy, which provides a documented dose of UVB exposure. The patients were asked to fill an adapted Passionate Love Scale (PLS) questionnaire (Hatfield and Sprecher, 1986) before the first UVB treatment (time point T1) and 1 month there-after (time point T2). Dermatosis was not expected to have improved at the 1-month time point (Bae et al., 2017; Cameron et al., 2002); thus, therapeutic success, or lack thereof, should not influence the stress levels of subjects, and there should not have been bias in our questionnaire because of therapeutic effi-cacy. During this period, patients received a UVB dose (0.1-2.5 J/cm) two or three times a week for 10-12 UVB treatments. The PLS, developed to measure passionate love in intimate relation-ships, focuses on intense longing for union with the other. We found that the male participants' scores were significantly higher at T2 with respect to obsessive thoughts regarding their loved ones, yearning to know everything about her, and endless desire for affection from her (Table 1). However, they also reported significantly less attraction to that person compared with at T1. Female participants at T2 scored significantly higher when it came to feeling that the person whom they loved most passion-ately is the perfect romantic partner and experiencing a physical response when touched by that person. Furthermore, because we observed an increase in the level of testosterone following UVB treatment in male mice (Figure 1L) and because testos-terone is responsible for sexual and aggressive behavior (Muller, 2017), we asked our human cohort of patients undergoing Figure 2. UVB treatment enhances male and female sexual behavior and female attraction (A) Schematic representation of the three chamber test for subject and stimulus mice treated for 5 weeks with UVB or control treatment. (B) Heatmap paths of a control male subject (n R 10) toward a UVB-or control-treated female stimulus. (C) Latency of visit (left), frequency of visits (middle), and total time spent (right) by subject control-treated males toward the wire cage of a UVB-or control-treated female stimulus. (D) Heatmap paths of a control female subject toward a UVB-or control-treated male stimulus. (E) As in (C) but for female subject movement toward a UVB-or control-treated male stimulus. (F) Heatmap as in (B), depicting control or UVB-treated subject male movement toward control female stimuli. (G) As in (C) but for control or UVB-treated male subject movement toward control female stimuli. (H) Heatmap as in (B) but for UVB-or control-treated female subject movement toward control male stimuli. (I) As in (C) but for UVB-or control-treated female subject movement toward control male stimuli. Data are presented as means ± SEM, n R 10. For data analysis, a two-tailed, unpaired Student's t test was performed. *p < 0.05; **p < 0.01; ns, not statistically significant. + + 6 Cell Reports 36, 109579, August 24, 2021 Article + + ll OPEN ACCESS + + phototherapy to complete an aggression questionnaire (Buss and Perry, 1992) at T1 and T2. Our results indicate that male par-ticipants were significantly more verbally aggressive at T2 than at T1 (Table S1), whereas women showed no difference. Neither men nor women had a significant change in the level of physical aggression between T1 and T2. Altogether, our data suggest that in humans, UVB treatment enhances passionate love in both genders and increases some aspects of aggressiveness in men. UVB treatment increases estrus incidence and the number of growing follicles UVB treatment was found to enhance female sexual/social behavior, receptiveness, and attractiveness in mice, so we investigated its effect on the estrus phase, because females are more sexually receptive and attractive during its estrus stage (Kim et al., 2016). To this end, we followed the estrous cycle of eight female mice for 45 days using the vaginal smear method (Caligioni, 2009) (Figure S3A). We found a significant increase in the percentage of estrus days from the total number of 45 tested days (Figure 3A) and in the length of the estrus phase (Fig-ure 3B) in UVB-treated females. These data suggest that UVB treatment modifies the estrus incidence of female mice, increasing the number of estrus days in the cycles. The estrous cycle is governed by the level of GnRH secretion from the hypothalamus, which stimulates the pituitary gland to release FSH and LH; these hormones regulate the ovarian cycle, resulting in the production of sex-steroid hormones (Smith, 2009). We measured the levels of GnRH, FSH, and LH in the plasma of female mice following 8 weeks of UVB or mock treat-ment and found a significant rise in these hormones following UVB treatment (Figure 3C). These data demonstrate that UVB treatment induces the production of hormones involved in the brain-gonadal axis. FSH and LH regulate follicle growth in the ovaries, leading to ovulation (Smith, 2009). Therefore, we surgically resected the ovaries from UVB-treated and mock-treated control female mice in their proestrus/estrus stage to assess the effect of the UVB treatment on ovarian morphology. Interestingly, we found a significant increase in the size and weight of the ovaries of UVB-treated compared with mock-treated female mice (Fig-ure 3D, left and middle panel), which was reflected in their histol-ogy (Figure 3D, right panel). Moreover, there was a significant in-crease in the expression of mRNAs encoding the progesterone receptor (PGR), androgen receptor (AR), and estrogen receptors (ESR1 and ESR2) in ovaries of UVB-treated females compared with control females (Figure 3E). We also observed significant upregulation in the enzymes involved in sex-steroid biosynthesis in UVB-treated females compared with control females (Fig-ure S3B). AMH suppresses the cyclic recruitment of primordial follicles into the pool of growing follicles and inhibits FSH-depen-dent follicle recruitment (Dewailly et al., 2016), thus playing an important role in maintaining the ovarian reserve (Visser et al., 2006). AMH levels are an indicator of a female's ovarian reserve, and the number of oocytes with high AMH levels reflect a pro-longed fertility window (Santoro, 2017). Upon UVB treatment, we found significant upregulation of the expression of AMH and AMHR2, which encode the AMH receptor, in the ovaries of female mice (Figure 3F), suggesting an increase in the pool of growing follicles. Altogether, our data indicate that UVB treat-ment of female mice enhances their estrous cycle, gonadotropin secretion, follicle growth, and sex-steroid synthesis. p53 modulates UVB-mediated sexual behavior and ovarian changes Skin interacts with solar/UVB light and has been suggested to result in production and release of hormones (Fell et al., 2014; Skobowiat and Slominski, 2015). Therefore, we reasoned that the skin plays a role in hormone-related social, sexual, and reproductive behavior in response to solar/UVB radiation. To identify the regulators that drive the sexual behavior and ovarian changes induced by UVB, we determined the overlap of the up-stream transcription regulators upregulated in mouse plasma proteomes upon UVB treatment by Ingenuity pathway analysis (IPA) (Table S2), with the top 10 UVB-related transcription factors identified by GeneCards and the list of skin regulators involved in UVB response identified by GeneCards. The overlap of these three lists indicated that p53 is a potential regulator (Figure 4A; Table S3). Furthermore, p53 target genes, identified by IPA, are significantly enriched in biological processes involved in behavior and reproduction (Figure S4A), which is in line with Table 1. Within-group differences in passionate love Males Females T1 T2 Z T1 T2 Z Median Range Median Range Median Range Median Range Obsessive thoughts on __ a 3 1-7 5 2-7 À1.63 b * 2 1-8 3 1-6 À0.65 b Rather be with __ than anyone else 8 4-9 8 6-9 À0.96 b 6.5 1-9 7.5 1-9 À0.95 b Yearn to know everything on __ 7 4-9 8 6-9 À2.06 b * 5 1-9 5 2-9 À0.86 b Endless appetite for affection from __ 7 3-9 8 5-9 À1.71 b * 4.5 1-9 5 1-9 À1.20 b __ is the perfect romantic partner 8 4-9 8 1-9 À0.14 b 7 2-9 8 3-9 À2.00 b * Sense body responding when __ touches 9 3-9 8 1-9 À0.32 b 7 2-9 8.5 3-9 À1.73 b * Possess a powerful attraction to __ 8 4-9 7 1-9 À1.89 c * 7 2-9 7 2-9 À0.32 b *p < 0.05; **p < 0.01. a __, name of the person whom the participant loved most passionately. b Based on negative ranks. c Based on positive ranks. Cell Reports 36, 109579, August 24, 2021 7 Article + + ll OPEN ACCESS + + our observations. Therefore, we hypothesized that the skin p53 modulates sexual behavior via a skin-brain-gonadal axis. To test whether the UVB-induced sexual behavior changes we observed are p53 dependent, we crossed mice that express Cre specifically in keratinocytes (under the K14 promotor) with p53 floxed mice (Marino et al., 2000) to generate a conditional p53 knockout in epidermal keratinocytes (p53 flox/flox K14-Cre +/+ ), referred to here as p53-KO mice (Fell et al., 2014); wild-type p53 littermates (p53 flox/flox K14-Cre À/À ), referred to here as p53-WT, were used as controls (Figure S4B). We treated the p53-KO and p53-WT mice daily with UVB in a dose of 50 mJ/ cm 2 . There was a significant decrease in the levels of p53 in the whole skin of mice, as shown at protein level (Figure S4C) and at mRNA levels for p53 and its downstream target p21 in the skin (Figure S4D). These results validated the efficiency of the knockout of p53 in epidermal keratinocytes. Consistent with the known role of p53 in the pigmentation response (Mal-cov-Brog et al., 2018), there was no increase in skin pigmenta-tion in the p53-KO mice after 5 weeks of UVB treatment (Fig-ure S4E). There were no differences in body weight between these mice before and after treatment (Figure S4F). No increases in the circulating levels of GnRH, LH, or FSH were detected upon UVB treatment in the p53-KO females (Fig-ure 4B). Moreover, no changes in ovary size, weight, or histology were noted in UVB-treated p53-KO females compared with mock-treated p53-KO females (Figure 4C). Furthermore, there were no differences in the levels of mRNAs encoding steroido-genic hormone receptors (PGR, AR, ESR1, and ESR2) (Fig-ure 4D), in the expression level of the enzymes related to each of these receptors in the ovaries (Figure S4G) or in the expression of AMH and AMHR (Figure 4E) when UVB-treated and mock-treated control p53-KO females were compared. These data support our hypothesis that skin p53 drives the changes in the ovaries and mediates sex-steroid induction upon UVB treatment. To evaluate how skin p53 influences sexual behavior, UVB-treated and mock-treated control p53-WT and p53-KO mice were subjected to the mating test (Figure 1B). All females were in the estrus/proestrus stage. We found no difference in the ano-genital sniffing behavior of p53-WT and p53-KO males toward UVB-treated or mock-treated p53-WT females (Figure 4F, left panel). In contrast, the amount of sniffing toward the UVB-treated p53-KO females was significantly reduced compared with that toward the mock-treated p53-KO females and UVB-treated p53-WT females (Figure 4F, left panel). Furthermore, we found a significant increase in the sniffing behavior of females (both p53-WT and p53-KO) toward UVB-treated p53-WT males compared with mock-treated control p53-WT males, but no enhancement of sniffing behavior was observed toward the UVB-treated p53-KO males (Figure 4F, right panel). This sug-gests that UVB treatment induces a male mouse odor cue that depends on skin p53. Both p53-WT and p53-KO males exhibited significant enhancement of facial and genital grooming in the presence of a UVB-treated p53-WT female compared with a control p53-WT female, whereas this UVB effect did not occur in the pres-ence of the p53-KO females (Figure 4G, left panel). Furthermore, we noted an increase in the grooming behavior of females (both p53-WT and p53-KO) in the presence of UVB-treated p53-WT males compared with control p53-WT males, a feature not A D E F B C Figure 3. Daily UVB treatment increases estrus incidence and the number of growing follicles (A) Percentage total of the proestrus/estrus stage (estrus) and metestrus/diestrus stage (diestrus) of the control or UVB-treated female estrous cycle. (B) Length of the estrous cycle in a control or UVB-treated female. (C) Plasma levels of GnRH (n = 3), FSH (n = 5), and LH (n = 3) of control or UVB-treated female mice. (D) Representative photograph of the ovaries (left), the weight of ovaries in milligrams (middle), and representative H&E staining of female mice ovaries after 8 weeks of control or UVB treatment (right; scale bar, 500 mm). (E) Relative mRNA expression from ovary section genes involved in female steroidogenesis after an 8-week control or UVB treatment. (F) Relative expression of AMH and AMHR from an ovary section after an 8-week control or UVB treatment. Data are presented as means ± SEM, n = 4 (A, B, E, and F), n = 3 (D). For data analysis, a two-tailed, unpaired Student's t test was performed. *p < 0.05; **p < 0.01; ***p < 0.001; ns, not statistically significant + + 8 Cell Reports 36, 109579, August 24, 2021 Article + + ll OPEN ACCESS + + A C F H I J G D E B Figure 4. p53 modulates UVB treatment-mediated sexual behavior and ovarian changes (A) Overlap of predicted upstream regulators from mouse upon UVB treatment of 8 weeks with the top 10 UVB-related transcription factors (GeneCards) and with skin regulators involved in UVB response (GeneCards). (B) Plasma levels of GnRH (n = 3), FSH (n = 5), and LH (n = 3) in p53-KO females. (C) Photograph of representative ovaries (left), weight in milligrams (mg) of ovaries (middle), and representative H&E staining (right; scale bar, 500 mm) from p53-KO females ovaries. (D) Relative mRNA expression levels of genes involved in steroidogenesis from p53-KO female ovaries. (E) Relative mRNA expression levels of AMH and AMHR from p53-KO female ovaries. (F) Total number of anogenital sniffing events by males (control-or UVB-treated p53-WT and p53-KO) toward control-or UVB-treated p53-WT or p53-KO females (left). Total number of anogenital sniffing events by females (control-or UVB-treated p53-WT and p53-KO) toward control-or UVB-treated p53-WT or p53-KO males (right). (G) Total time spent self-grooming by males (control-or UVB-treated p53-WT and p53-KO) in the presence of control-or UVB-treated p53-WT or p53-KO females (left panel). Total time spent self-grooming by females (control-or UVB-treated p53-WT and p53-KO) in the presence of control-or UVB-treated p53-WT or p53-KO males (right panel). (H) Total number of intromissions (left) and total duration of intromissions (right) by males (control-or UVB-treated p53-WT and p53-KO) with control-or UVB-treated p53-WT or p53-KO females. (I) UVB-or control-treated p53-WT or p53-KO females' lordosis quotient with control-and UVB-treated p53-WT or p53-KO males. (legend continued on next page) Cell Reports 36, 109579, August 24, 2021 9 + + Article ll OPEN ACCESS + + observed in the presence of p53-KO males (Figure 4G, right panel). The total number and duration of successful intromis-sions by males (both p53-WT and p53-KO) on UVB-treated p53-WT females were significantly higher than on control p53-WT females, whereas no change was observed toward p53-KO females (Figure 4H). The lordotic response of a female was significantly higher in UVB-treated p53-WT mice than in mock-treated control p53-WT mice; there was no difference in p53-KO females (Figure 4I). We also found that UVB-treated p53-WT males have signifi-cantly higher levels of testosterone in their plasma than do mock-treated p53-WT males and that this UVB effect was abol-ished in p53-KO males (Figure S4H, left panel). No change was observed in female testosterone levels upon UVB treatment (Fig-ure S4H, right panel). These observations support our finding that testosterone appears to be influenced by UVB-induced skin p53. These data indicate that the enhancement of female and male attractiveness to the opposite sex induced by UVB treatment depends on p53 in the skin. To further explore the mechanism by which p53 controls sex-ual behavior upon UVB treatment, we overlapped two datasets, p53 binding genes (identified using chromatin immunoprecipita-tion sequencing [ChIP-seq]) (Nguyen et al., 2018) and UVB-affected keratinocyte genes (identified using GeneCards) (Figure 4J). To identify the downstream targets of p53 (i.e., UVB-induced keratinocyte genes bound by p53), we overlapped these genes with genes known to affect the hypothalamus (Kang et al., 2000; McCann et al., 2003; Ray et al., 1996; Schmidt et al., 1995; Slominski et al., 2012), genes known to affect the pituitary hypothalamus-pituitary-gonadal (HPG) and HPA axes (Rawin-draraj et al., 2019), or genes known to affect the gonadal HPG axis (Figure 4J). We found six overlapping genes that affect the hypothalamus: IL6, LIF, IL-1b, NOS, Leptin, and LEP-R (Fig-ure 4J; Table S4). IL-6 and LIF are known to increase the expres-sion of POMC to enhance LH, FSH, and ACTH effects on the downstream gonads and adrenal gland (Chida et al., 2005; Ray et al., 1996). Interleukin (IL)-1b increases the expression of CRH and GnRH from the hypothalamus (Kang et al., 2000; Schmidt et al., 1995). NOS increases luteinizing hormone releasing hormone (LHRH) levels (McCann et al., 2003), and vice versa (Garrel et al., 1998). LHRH controls female lordosis and male sexual behavior (McCann et al., 2003). Moreover, we found one overlapping gene, CRH, that affects the pituitary. The CRH protein is released from the skin upon UVB treatment and acts on the local and central HPA axis (Skobowiat and Slo-minski, 2015; Skobowiat et al., 2011). We observed significant upregulation of IL1B, CRH, and IL6 expression in UVB-treated p53-WT males, whereas the expres-sion of these genes remained unchanged in the UVB-treated p53-KO males (Figure S4I, upper panel). Furthermore, we observed significant upregulation of IL1B, IL6, LIF, and CRH, as expected based on previous work (Skobowiat and Slominski, 2015), and of NOS1 in UVB-treated p53-WT females, but not in UVB-treated p53-KO females, compared with mock-treated controls (Figure S4I, lower panel). Altogether, these findings demonstrate that p53 expressed in epidermal keratinocytes reg-ulates sexual behavior and ovarian changes through a skin-brain-gonadal axis. Solar exposure enhances human sex-related steroids To examine the relevance of mouse data to humans, we re-cruited volunteers (n = 9 men, n = 10 women; age 18-55 years) who were asked to avoid sun exposure for 2 days and then spend approximately 25 min in the sun on a bright sunny midday; this resulted in a dose of approximately 2,000 mJ/cm 2 UV radia-tion (measured using a UVX radiometer). Blood samples were collected on the day before sun exposure and approximately the same time on the day of sun exposure. Similar to the mouse proteome data (Figure 1A), we found a significant positive activa-tion Z score for upstream regulators b-estradiol, progesterone, testosterone, and estrogen in men (Figure 5A, left panel) and for estrogen, progesterone, and testosterone in women following solar exposure compared with the control day before exposure (Figure 5A, right panel). Furthermore, we analyzed the testosterone levels of men aged 21-25 years (n = 13,086) from the Maccabi Health Service (Cho-dick et al., 2020) and observed a significant peak in total testos-terone level during the summer (July), indicative of testosterone seasonal variation (Figure 5B). This is in line with a previous report that testosterone levels increase in men following UV radi-ation (Myerson and Neustadt, 1939). Finally, to determine how pigment phenotype affects these solar responses, we retrieved testosterone-level data of men aged 20-50 years from the Clalit Health Services data-sharing platform (Israel) and divided them into two groups based on the amount of ultraviolet radiation (UVR) in their country of origin. Testosterone levels were signifi-cantly higher (n = 1,607, p = 0.004) in men originating from coun-tries with low UVR (UV < 2,500 J/m 2 ) compared with individuals who originated from countries with high UVR (UV R 4,500 J/m 2 ) during summer months (May-September) for all body mass in-dex values (Figure S5, left panel). No significant differences (n = 2,309, p = 0.499) were observed during the winter months (October-April) (Figure S5, right panel). Because skin coloration is strongly related to levels of UVR in a given country (Chaplin, 2004), our data support the involvement of the skin reaction to UVR in regulation of sexual behavior. Altogether, our data sug-gest enhancement of sex steroids upon solar exposure and demonstrate a positive correlation between solar exposure and testosterone levels in human males. DISCUSSION Fitness is defined by the individual's reproductive success (Zim-mer et al., 2016). Conception must be timed so that offspring are born when they have the highest chances of survival and repro-duction. This is likely the reason for seasonality in birth rates in (J) Overlap between p53 DNA binding-based ChIP-seq (Nguyen et al., 2018), UVB-affected keratinocyte genes (GeneCards), and genes affecting hypothalamic, pituitary, and gonad expression (Kang et al., 2000; McCann et al., 2003; Ray et al., 1996; Schmidt et al., 1995; Slominski et al., 2012). Data are presented as means ± SEM, n = 4 (C-E), n = 3 (F-I). For data analysis, a two-tailed, unpaired Student's t test (B-E) or two-way ANOVA (F-I) was performed. *p < 0.05; **p < 0.01; ***p < 0.001; ns, not statistically significant. + + 10 Cell Reports 36, 109579, August 24, 2021 Article + + ll OPEN ACCESS + + humans. There is a unimodal spring-summer (end of April-May) peak in conceptions in most of Europe and a strongly bimodal distribution in North America, with peaks in spring and autumn (Roenneberg, 2004). Photoperiod and temperature have been suggested to be the major environmental factors affecting this seasonality (Roenneberg and Aschoff, 1990a, 1990b). Because we showed a direct response to UVB, the source is not the endogenous circannual clock, which generates seasonal changes in physiology and behavior in the absence of environ-mental cues (Scanes, 2015). Therefore, UVB may serve as a backup mechanism, ensuring optimal reproduction timing and direct influence on fitness. It is interesting that industrialization, which shifted work from outdoors to indoors with eternal summer conditions, characterized by a long photoperiod and mild tem-peratures with almost no seasonality (Stevenson et al., 2015), happened in parallel to an amplitude reduction in peaks in human conceptions observed in today's industrialized nations (Foster and Roenneberg, 2008; Roenneberg, 2004). It is possible that the reduced exposure to UVB contributed to this change. Our data suggest skin-brain crosstalk, in which the skin acts as a dermato-endocrine organ, releasing hormones that affect the hy-pothalamus-pituitary-gonadal axis. The mechanism of action may be similar to that of b-endorphins (Fell et al., 2014) and CRH (Sko-bowiat and Slominski, 2015), which are released from the skin and affect the opioid system and axis, respectively, and/or to nerve fi-bers, the immune system, or as-yet-unknown regulators. Because eyes of mice and of human volunteers were not covered, we cannot exclude the possibility that solar/UV radiation to the eye affected the observed sexual behavior. UVB exposure via the eye activates the hypothalamopituitary proopiomelanocortin sys-tem, which is upstream of the HPA and HPG axes (Hiramoto et al., 2003). However, when we depleted p53 from skin keratinocytes, we observed suppression of the UVB-induced sexual behavior traits, as well as a significant decrease in the hormones of the HPG axis, which favor our hypothesis that in addition to the eyes, the skin has an active part in regulating sexuality. Vitamin D synthesis is affected by UV absorption, which de-pends on the skin tone of the individual (Webb et al., 2018; Ri-chard et al., 2017); thus, individuals with the Fitzpatrick V (FST V) skin type must receive a greater UV dose per unit time to syn-thesize vitamin D compared with individuals with lighter skin (Webb et al., 2018). In addition to the seasonality of birth rates, conception rates, ovulation, socioeconomic status, and age group as fertility effectors (Bobak and Gjonca, 2001; Lam et al., 1994; Stolwijk et al., 1996), we propose that pigment phenotype might play a role in regulating the skin-brain-gonadal axis, thereby regulating sexual behavior. All skin layers are innervated by sensory, sympathetic, and parasympathetic nerve fibers that relay signals to the brain and receive cues from it (Slominski et al., 2012). Sensory signals from the skin to the brain include temperature, touch, pain, stretch, itch, and vibration; they are sensed by skin receptors that transfer the stimuli via nerve fibers directly to the brain (Roosterman et al., 2006). Signals from the brain to the skin include thermoregulation, sweat-gland function, blood flow, adnexal functions (Roosterman et al., 2006), and hair graying (Zhang et al., 2020). Another mode of skin-brain crosstalk involves the combined neural signals from the preoptic hypothalamus and peripheral nerves that together trigger eccrine sweat glands (Stowers and Liberles, 2016). In a response that is sex dependent (Stowers and Liberles, 2016), pheromones are mainly secreted in axillary sweat, which contains the odorous 16-androstenes (Verhaeghe et al., 2013). Axillary secretions originate from apocrine odor glands, eccrine sweat glands, and sebaceous glands located in the skin (Verhaeghe et al., 2013). Pheromones are inducers of communication and behavioral responses, including sexuality and mating (Ferrero et al., 2013; Roberts et al., 2010; Stowers and Liberles, 2016; Verhaeghe et al., 2013). Although the neural triggers for pheromone synthesis and secretion are poorly un-derstood, it has been established that eccrine sweat glands are controlled by hypothalamus cues (Stowers and Liberles, 2016). Therefore, we cannot exclude the possibility that part of the observed effect is mediated by pheromones: UVB radiation may alter hypothalamus activity or directly affect axillary secre-tion. Both possibilities should be further investigated. In line with this, knock down of p53 has been shown to trigger the DNA damage response in skin keratinocytes that results in peeling of these cells (Farmer et al., 1992; Fields and Jang, 1990; Levine et al., 2006; de Pedro et al., 2018). This by itself might be a trigger of attractiveness and should be investigated in the future. It is worth putting in mind that species differences play an essential role in activating mating behavior via the circulating sex steroids. For example, female rhesus monkeys continue to mate with males for weeks after ovariectomy, wherein there is withdrawal of estradiol (Baum et al., 1977). In contrast, ovariec-tomized female mice cease to mate within few days of the A B Figure 5. Solar exposure enhances human sex-related steroids (A) Predicted upstream regulators of the differential blood plasma proteins from humans following a single solar exposure (2,000 mJ/cm 2 UV) (n = 5 humans for each condition). (B) Total testosterone levels of men aged 21-25 years (n = 13,086). Plot depicts monthly means on a cubic spline of calendar month (January-December; 2 degrees of freedom). + + Cell Reports 36, 109579, August 24, 2021 11 Article ll OPEN ACCESS + + procedure and resume it only upon receiving an injection of estradiol benzoate followed by progesterone (Edwards, 1971). Likewise, male rhesus monkeys typically continue mating for many months after castration (Phoenix et al., 1973), whereas most strains of male mice stop mating within 3-4 weeks after castration (Thompson et al., 1976). Our quantitative questionnaire results show that both sexes have a tendency toward higher levels of passion following UV treatment. Passion takes two forms, emotional and sexual. UVB radiation affected different components of passion in men than in women. UVB-treated women scored higher on questions about physical arousal that related more to sexual passion and idealizing the connection, whereas men scored higher on the cognitive dimension of passion, which involves obsessive thoughts about the partner and wanting to know more about her. The questionnaire we used measured romantic passion, rather than physiological/sexual passion, due to institutional re-view board (IRB) ethical concerns regarding sensitive sexually oriented questions. Future studies on this topic should address physiological arousal more directly and should be geared toward the precise identification of the different effects of UVB on the sexual behavior of men and women. STAR+METHODS + +
Detailed methods are provided in the online version of this paper and include the following: d KEY RESOURCES TABLE d RESOURCE AVAILABILITY B Lead contact B Materials availability B Data and code availability d EXPERIMENTAL MODEL AND SUBJECT DETAILS B Mouse models and habituation B Human cohort B Human cohort testosterone study B Human questionnaire d METHOD DETAILS B UV treatment B Melanin intensity quantification B Mouse blood draw B Human cohort Solar-exposure study B Human blood draw B Proteolysis and mass spectrometry B Proteomic analysis B ELISA B Mating test B Ultrasonic vocalization B Elevated plus maze test B Three-chamber test B Male subject and two female stimuli B Female subject and two male stimuli B Female subject and two female stimuli B Female subject, a male stimulus, and a novel-object stimulus B Vaginal smears for estrous cycle evaluation B RNA purification and qRT-PCT B Histology B Genotyping B Immunoblotting d QUANTIFICATION AND STATISTICAL ANALYSIS SUPPLEMENTAL INFORMATION Supplemental information can be found online at https://doi.org/10.1016/j. celrep.2021.109579.
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ACKNOWLEDGMENTS The authors thank Prof. Eli Pikarsky (The Hebrew University of Jerusalem, Israel) for the gift of the p53-floxed mice and Prof. Itai Ben-Porath for the gift of K14 CRE mice (The Hebrew University of Jerusalem, Israel). C.L. thanks Prof. Yossi Yovel (Department of Zoology, Faculty of Life Sciences, Tel Aviv University) for providing the recording instrument and analysis and Prof. Uri Alon, Prof. Noam Sobel (Weizmann Institute of Science, Israel) for useful dis-cussions, and Yuval and Omer Levy for infinite joy. C.L. acknowledges grant support from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (grant 726225) and the Israel Science Foundation (ISF) (grant 2017/20). R. Parikh is the recipient of a CBRC 2020 travel grant and 3 rd Esther and Zvi Weinstat Graduate Student Award, 2021, and would like to thank her family for their love and support. Research in A.W.'s lab is supported in part by the ISF (grant 1781/16), Israel Ministry of Science and Technology (grants 3-13608 and 84/19), and EPM Inc.
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AUTHOR CONTRIBUTIONS R. Parikh, conceptualization, methodology, validation, formal analysis, inves-tigation, writing -original draft, and visualization. E.S., conceptualization and formal analysis. S.P., methodology and validation (human cohort study). K.M., D.L., and O.K.-M., formal analysis (human questionnaire). L.B. and A.W., methodology and resources. S.T., G.S., S.M., T.Z., H.K., and G.C., investigation and formal analysis (human testosterone data). M.M., formal analysis (mass spectrometry). A.B., resources (ultrasonic vocalization). N.K.-S., writing -review & editing. H.B.-J., formal analysis (ovary cross sec-tions). D.B.-Y., H.A., and T.G., writing -review & editing. H.M. and M.P., re-sources (human questionnaire data from phototherapy clinic). Y.L., R.B., and E.N., visualization. Y.G., formal analysis (human epidemiological data). R.H., investigation. R.S., methodology and writing -review & editing (ovarian exper-iments). T.K., visualization (sexual behavioral data). R. Percik, investigation and writing -review & editing. C.L., conceptualization, methodology, writing -original draft, visualization, supervision, project administration, and funding acquisition. All authors reviewed the final draft and approved it. DECLARATION OF INTERESTS The authors declare no competing interests.
+ + Received: November 9, 2020 Revised: May 12, 2021 Accepted: July 30, 2021 Published: August 24, 2021 + + REFERENCES Achiraman, S., SankarGanesh, D., Kannan, S., Kamalakkannan, S., Nirmala, N., and Archunan, G. (2014). Response male mice to odours of female mice in different stages of oestrous cycle: self-grooming behaviour and the ef-fect of castration. Indian J. Exp. Biol. 52, 30-35. Ajayi, A.F., and Akhigbe, R.E. (2020). Staging of the estrous cycle and induc-tion of estrus in experimental rodents: an update. Fertil. Res. Pract. 6, 5. Asaba, A., Hattori, T., Mogi, K., and Kikusui, T. (2014). Sexual attractiveness of male chemicals and vocalizations in mice. Front. Neurosci. 8, 231. + + 12 Cell Reports 36, 109579, August 24, 2021 Article + + ll OPEN ACCESS + + Bae, J.M., Jung, H.M., Hong, B.Y., Lee, J.H., Choi, W.J., Lee, J.H., and Kim, G.M. (2017). Phototherapy for vitiligo: A systematic review and meta-analysis. JAMA Dermatol. 153, 666-674. Barbieri, R.L. (2014). 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STAR+METHODS KEY RESOURCES TABLE REAGENT or RESOURCE SOURCE IDENTIFIER Antibodies Anti-p53 antibody [PAb 240] abcam Cat #ab26; RRID:AB_303198 Anti-mouse IgG, HRP-linked Cell Signaling Technology Cat #7076; RRID:AB_330924 Anti-actin antibody Sigma Aldrich Cat #A2066; RRID:AB_476693 Anti-Rabbit IgG, HRP-linked abcam Cat #ab6721; RRID:AB_955447 Biological samples Human blood plasma Separated from blood samples in our lab (This study) Approval of Tel Aviv University Ethics Committee Mouse tissue samples Tissues obtained after sacrifice in our lab (This study) IACUC permit#10-16-078 Chemicals TRIzol Invitrogen Cat# 15596026 Choloroform Bio-Lab Cat# 3082301 2-Propanol Sigma Aldrich Cat #278475 Methanol Bio-Lab Cat #136806 Paraformaldehyde, 16% Electron Microscopy Sciences Cat #30525-89-4 Difco Skim Milk Avantor Sciences Cat #90002-594 Hematoxylin Solution, Harris Modified Sigma-Aldrich Cat #HHS16 Eosin Y solution Sigma-Aldrich Cat #HT110232 DPX Mountant for histology Sigma-Aldrich Cat #06522 Ketamine hydrochloride Bremer Pharma GMBH N/A SEDAXYLAN Eurovet animal health N/A Isoflurane, USP TerrellTM Piramal Critical care, Inc. N/A Critical commercial assays Mouse LH(Luteinizing Hormone) Wuhan Fine Biotech Co., Ltd Cat # EM1188 Mouse GnRH(Gonadotropin Releasing Hormone) Wuhan Fine Biotech Co., Ltd Cat # EM1616-CM Mouse FSH(Follicle-stimulating hormone) Wuhan Fine Biotech Co., Ltd Cat # EM1035 Testosterone abcam Cat # ab108666 Deposited data Raw Mass Spectrometry Data Files This study The mass spectrometry proteomics data have been deposited to the ProteomeXchange Consortium via the PRIDE (Perez-Riverol et al., 2019) partner repository with the dataset identifier Database:PXD025973 Experimental models: Organisms/strains Mouse: C57BL/6J Envigo N/A Mouse: C57BL/6J-p53flx/flx A gift from Dr. Eli Pikarsky, The Hebrew University of Jerusalem, Israel N/A Mouse: C57BL/6J-k14Cre+/À A gift from Dr. Ittai Ben-Porath, The Hebrew University of Jerusalem, Israel N/A Mouse: p53flx/flxK14CreÀ/À (Control littermates)
+ + Bred & genotyped in our lab (This study) N/A Mouse: p53flx/flxK14Cre+/+ (p53-KO littermates) Bred & genotyped in our lab (This study) N/A (Continued on next page) e1 Cell Reports 36, 109579, August 24, 2021 Article + + ll OPEN ACCESS + +
RESOURCE AVAILABILITY Lead contact Further information and requests for resources and reagents should be directed to and will be fulfilled by the Lead Contact, Carmit Levy (carmitlevy@post.tau.ac.il). Materials availability All in-house generated mouse strains generated for this study are available from the Lead Contact with a completed Materials Trans-fer Agreement. Data and code availability d All original datasets has been deposited at the ProteomeXchange Consortium via the PRIDE (Perez-Riverol et al., 2019) partner repository and is publicly available as of the date of publication: Database: PXD025973. d This paper does not report original code. d Any additional information required to reanalyze the data reported in this paper is available from the lead contact upon request. EXPERIMENTAL MODEL AND SUBJECT DETAILS Mouse models and habituation Unless stated otherwise, we used 5-to 6-week-old C57BL6 male and female mice (Envigo) for experiments. The p53 floxed male and female mice were a gift from Dr. Eli Pikarsky (The Hebrew University of Jerusalem, Israel). Dr. Ittai Ben-Porath (The Hebrew University Continued REAGENT or RESOURCE SOURCE IDENTIFIER Oligonucleotides See Table S5 for RT-qPCR primers Intergrated DNA Technologies (IDT) N/A See Table S5 for genotyping primers Jackson laboratories N/A Software and algorithms EthoVision XT 7 Noldus information technology https://www.noldus.com/ethovision-xt; RRID:SCR_000441 UltraVox XT system Noldus information technology; version 3.1 N/A SPSS Statistics IBM; version 25.0 https://www.ibm.com/uk-en/analytics/ spss-statistics-software; RRID:SCR_002865 Prism Graphpad; version 8 http://www.graphpad.com/; RRID: SCR_002798 Ingenuity Pathway Analysis QIAGEN https://digitalinsights.qiagen.com/; RRID:SCR_008653 Proteome Discoverer 1.4 Thermo Fisher Scientific https://www.thermofisher.com/order/ catalog/product/ IQLAAEGABSFAKJMAUH; RRID:SCR_014477 MaxQuant Cox and Mann, 2008; version 1.5.2.8 https://www.biochem.mpg.de/5111795/ maxquant/; MaxQuant, RRID:SCR_014485 Perseus software Cox and Mann, 2008; version 1.6.10.43 https://www.biochem.mpg.de/5111810/ perseus BioMart Ensembl https://www.ensembl.org/biomart/ martview/ 9b0f3136bd9d6999b66c3a766729a6ae Other Virusolveâ+ Amity International N/A Veet hair removal cream Reckitt N/A UVB Lamp (Model: XX-15MR Bench Lamp, 302 nm)
+ + Analytik Jena US Cat # 95-0042-15 UVX radiometer Analytik Jena US Cat #97-0015-02 Cell Reports 36, 109579, August 24, 2021 e2 Article + + ll OPEN ACCESS + + of Jerusalem, Israel) provided male and female mice in which the K14 promoter directs expression of Cre recombinase. We confirmed the p53 knockout in keratinocytes by genotyping, qRT-PCR, and ear pigmentation analysis. Male and female mice were habituated for at least 1 week to their new environment under a standard 12-h light/dark cycle and the conditions of constant temperature (24 ± 1 C) and humidity (50 ± 5%) with access to food and water ad libitum prior to experimentation. The guidelines of the Tel Aviv University Institutional Animal Care and Use Committee (IACUC) (10-16-078) were followed. Human cohort The human cohort of 9 men and 10 women (18-55 year of age) were recruited through convenience sampling at the Sackler School of Medicine (Tel Aviv University, Israel). All provided written consent. The approval of the University's Ethics Committee was obtained prior to the study. Human cohort testosterone study The human cohort study from Clalit was approved by Kaplan Medical Center Institutional Review Board. Total testosterone data and related medical data were retrieved for all males aged 20 to 50 years old in Israel Central and Jerusalem districts from Clalit Health Services using Clalit Secure Data Sharing Platform powered by MDClone (https://www.mdclone.com), and subjects with testos-terone modifying medical conditions were excluded. Subjects were classified into four groups categorized according to average UV radiation (UVR) in their country of origin (https://apps.who.int/gho/data/node.main.164?lang=en) by using WHO map (https:// www.who.int/gho/phe/ultraviolet_radiation/exposure/en/). Only men from countries with low UVR (UV < 2500 J/m 2 ) and high UVR (UV R 4500 J/m 2 ) were considered for this study. Multivariate analysis of variance models was used to estimate the effect of season-ality and country of origin on total testosterone levels. Models were assessed separately for the summer (May-September) and winter (October-April) months and were adjusted for age and body mass index. The analysis of human cohort testosterone level data of men aged 21-25 years old (n = 13,086) from the Maccabi Health Services, was done as previously described (Chodick et al., 2020). Human questionnaire For the quantitative longitudinal study, 19 subjects aged 23-73 (mean M = 45.89, SD = 15.22), 47.4% male and 52.6% female, with skin conditions including vitiligo, eczema, and psoriasis were recruited by convenience sampling from two Israeli hospitals (Assuta Hospital; Helsinki ethical approval 0063-17-ASMC 17 and Tel Aviv Sourasky Medical Center; Helsinki ethical approval 0151-17-TLV). Of all the participants, 11.8% were single, 64.7% were married, and 23.5% were divorced, 35.3% had no children, and 64.7% had 1-3 children. Data were collected through self-reported questionnaires at two time points, before exposing the participants to a UVB treatment (T1), and approximately a month after the treatment (T2). During this period, patients were given full body (except their gen-itals, eyes, and head) narrow band UVB exposure (0.1-2.5 J/cm) (Waldmann UV7002 UVB instrument; UV lamp (UVB) 42 x TL 01 120 W) 2-3 times a week, 10-12 UVB exposures in total. The hospitals IRB approved the study, and all participants signed informed con-sent forms. The PLS (Hatfield and Sprecher, 1986) was developed to measure passionate love in intimate relationships and focuses on an intense longing for union with the other. We used a Hebrew translation of the PLS for our study. We used seven items from the short version of the PLS relevant to our study: cognitive components of passion (intrusive thinking about the partner, idealization of the other and the relationship); emotional components of passion (attraction, longing for reciprocity, and physiological arousal). From the short version of the PLS, we excluded items that did not directly examine the person's passion, such as actions taken to deter-mine the other person's feelings. We included items related to cognitive components of passion (e.g., intrusive thinking about the other and idealization of the other and the relationship) and emotional components of passion (e.g., attraction, longing for reciprocity, and physiological arousal). Each item was rated on a 9-point Likert-scale (1 = not at all true; 9 = definitely true), with a higher score representing more passionate love. The aggression questionnaire (Buss and Perry, 1992) was developed to measure four aspects of aggressiveness: physical aggres-sion, verbal aggression, anger, and hostility. A questionnaire translated into Hebrew was used to assess two factors relevant to our study: physical aggression (nine items; e.g., 'I get into fights a little more than the average person') and verbal aggression (five items; e.g., 'I can't help getting into arguments when people disagree with me'). Each factor was rated on a 5-point Likert-scale (1 = extremely uncharacteristic of me; 5 = extremely characteristic of me) and calculated by summing the answers (after re-coding one item of physical aggression), with higher scores representing more aggression. The reliability of the scale of the original ques-tionnaire, measured through Cronbach's alpha, was 0.85 for physical aggression and 0.72 for verbal aggression. In our study, the Cronbach's Alpha was 0.84 in T1 and 0.77 in T2 for physical aggression (after deleting one item); and 0.81 and 0.79, respectively, for verbal aggression. METHOD DETAILS UV treatment Mice were kept in a reverse 12-h dark/light cycle (red light) and were shaved on the dorsal side in an area of approximately $60% of the skin, excluding the ears, tail and paw regions, where hair growth is not prevalent, and were treated with depilatory cream (Veet). Mice were exposed to daily UVB treatment of 50 mJ/cm 2 in the reverse light setting with a XX-15 stand equipped with 15-W, 302-nm + + e3 Cell Reports 36, 109579, August 24, 2021 Article + + ll OPEN ACCESS + + UVB bulbs (Ultraviolet Products) at approximately the same time of their day (9:00 -10:00 AM) in a custom transparent plexiglass chamber that allowed freedom of movement during the treatment. To exclude the possibility of not crawling on top of each other and hindering the UVB skin exposure, one mouse per chamber at a time were UVB exposed (Nghiem et al., 2002). The UV emission was measured using a UVX radiometer (Ultraviolet Products, 280 nm -320 nm) equipped with a UVB measuring head. The calibration was done for the delivered doses of UVB emission. For the mock (control) treatment, the animals were placed in the chamber but the UVB lamp was not turned on, which ensured that the UVB-exposed and control mice experienced the same stress conditions. After each treatment, the container was cleaned using Virusolve (Amity International) to avoid cross-contamination of odors. Control and UVB exposed mice used for the study were of similar age and underwent similar experimental protocols in order to exclude the pos-sibility of hair-cycle differences as well as stress related interferences in the behavioral experiment. Melanin intensity quantification The reflective colorimetric measurements were performed with a DSM II Color Meter (Cortex Technology), which gives the level of pigmentation. A white standard background (provided by the manufacturer) was used for the calibration before every measurement. All the measurements were performed on the same background with no UV light. The tail and ear pigmentation were measured at the end of the 8-week UVB (50 mJ/cm 2 ) or mock (control) treatment series and at the end of 5-week period for p53-KO and p53-WT an-imals, and pigmentation intensity was scored relative to control (UV/Mock -melanin pigmentation intensity). Mouse blood draw Mice were anesthetized by the intraperitoneal injection of ketamine (100 mg/kg body weight; Bremer Pharma GMBH) and xylazine (10 mg/kg body weight; Eurovet Animal Health BV), and blood was drawn from the heart with a 23G needle (KDL) at approximately the same time of the day (between 10:00 -13:00 Israel Standard Time) for all samples. The drawn blood was transferred to EDTA-coated microvette tubes (BD Mictrotainer) and immediately placed on ice, followed by centrifugation at 448 g for 10 min at 4 C to separate the plasma fraction, which was then aliquoted and stored at À80 C until further use. Human cohort Solar-exposure study All subjects were asked to avoid or minimize their solar exposure during the 2 days prior to the experiment and were requested to wear long-sleeved clothes on those days. On the day of the experiment (between 16:00-18:00, Israel standard time), 10 cc of intra-venous blood was drawn by a certified physician. On the next day subjects were asked to wear short sleeves/sleeveless shirt and shorts and be in a non-shaded area in order to expose themselves to 2000 mJ/cm 2 solar UV radiation, as measured by the UVX radi-ometer (Ultraviolet Products, 280 nm -320 nm), between 11:00-13:00, Israel standard time. The second blood sample was then drawn later that day, between 16:00-18:00, Israel standard time. Human blood draw Venous blood was drawn from the forearm, after disinfection with Alcosept (chlorhexidine gluconate 0.5% W/V and alcohol 70% V/V; Floris) using a blood-collecting needle set (KDL). Blood was collected in Vacutainerâ tubes (BD Biosciences). The blood was allowed to clot at room temperature for 15-30 min followed by centrifugation at 2000 g for 10 min at 4 C to separate the serum fraction, which was then aliquoted and stored at À80 C until further use. Proteolysis and mass spectrometry Proteins from plasma of five human volunteers randomly selected from the cohort and from three mice were precipitated with 90% ethanol at 90 C for 10 min, followed by centrifugation at 11,200 g for 5 min. The resulting supernatant was dried and resuspended in 9 M urea, 400 mM ammonium bicarbonate, reduced with 3 mM DTT (60 C, 30 min), modified with 12 mM iodoacetamide in 400 mM ammonium bicarbonate (in the dark, at room temperature, 30 min), and digested in 1 M urea, 50 mM ammonium bicarbonate with modi-fied trypsin (Promega) at a 1:50 enzyme-to-substrate ratio at 37 C for 2 h. The tryptic peptides were desalted using C18 tips (Top tip, Glygen), dried, and re-suspended in 0.1% formic acid. The peptides were then resolved by reverse-phase chromatography on 0.075 X 180 mm fused silica capillaries (J&W Pharmalab) packed with Reprosil reversed-phase material (Dr Maisch GmbH). The peptides were eluted with a linear 60-min gradient from 5% to 28%, then a 15-min linear gradient from 28% to 95%, followed by 25 min at 95% aceto-nitrile with 0.1% formic acid in water, at a flow rate of 0.15 ml/min. Mass spectrometry was performed with a Q Exactive HF mass spec-trometer (Thermo Fisher Scientific) in a positive mode, using repetitively full MS scan followed by collision induced dissociation of the 18 most dominant ions selected from the first MS scan. The mass spectrometry data from three biological repeats was analyzed using the MaxQuant software 1.5.2.8 (Cox and Mann, 2008). The data was quantified by label-free analysis using the same software. Statistical analysis of the identification and quantization results was done using Perseus 1.6.10.43 software (Cox and Mann, 2008). Proteomic analysis The proteomic dataset, which included the UniProt identifiers, were converted to gene symbols using BioMart, Ensembl. The gene sym-bols and absolute value of the log 2 -transformed fold-change were subjected to IPA for the core analysis (QIAGEN). Matching with the mouse Ingenuity Knowledge Database generated predicted possible upstream and transcription regulators based on the p value and + + Cell Reports 36, 109579, August 24, 2021 e4 Article ll OPEN ACCESS + + activation Z-score values, which infers the activation state (increased or decreased). Fisher's right-tailed exact test was used to deter-mine the probability of upstream analysis over-representation in the dataset. The protein network was built using the string output. ELISA Testosterone, LH, FSH, and GnRH levels in mouse plasma were detected and quantified after 8 weeks of UVB (50 mJ/cm 2 ) or control treatment using the Testosterone Elisa Kit (ab108666, Abcam), LH Elisa kit (EM1188, Wuhan Fine Biotech Co., Ltd.), FSH Elisa kit (EM1035, Wuhan Fine Biotech Co., Ltd.), and GnRH Elisa Kit (EM1616-CM, Wuhan Fine Biotech Co., Ltd.), according to the manu-facturers' instructions. Mating test Procedure: This test was conducted on sexually naive female and male C57BL6, p53-WT, and p53-KO mice after UVB (50 mJ/cm 2 ) or mock treatment. The males were individually housed for 24 h in a new cage with sawdust bedding; food and water were provided ad libitum. Before the start of the mating test, the food and water were removed from the cage, and the females were examined for the stage of their estrous cycle; they were mated with a male only if they were in the estrus/proestrus stage. In the mating test, a female was introduced into the cage of the male, where she spent 1 hour, after which she was immediately returned to her cage. All tests were conducted in a 17 3 25 cm transparent plexiglass chamber placed on a table that allowed videotaping in the ventral view with a digital camera. The visual data were subsequently analyzed manually for respective behavior parameters. All the experiments took place in a reverse 12-h light/dark cycle under dim, red lighting. In the case of the p53-WT and p53-KO mice, the mating test was carried out at the end of the light phase of the standard 12-h light/dark cycle under dim, red lighting, as mating behavior was tested during the active phase (dark phase) of the mice. Analysis parameters and criteria: The following parameters were measured as previously described (Haga et al., 2010): number of anogenital sniffs, grooming behavior, latency and total number of male mounting of the female, intromission latency, duration and total number of intromissions, female lordosis response, rearing behavior, and number of ejaculations. Anogenital sniffing was defined as actively reaching out and sniffing the genital regions of a mouse. Reaching out was defined as a mouse trying to stretch out and sniff the other sex's genitalia. Mouse grooming behavior was scored when the mouse self-groomed its face or body. Mounting was defined as a failed attempt of the male to climb with both forepaws on the female's back in an attempt to mate. Intro-mission was defined as a male successfully climbing on the female with its forepaws and making pelvic thrust movements with a stable frequency for a minimum duration of 5 s. A female's lordosis response was defined as the female standing on all four paws grounded and elevating the hind region from the floor, creating a lordotic curve of the spine. A female was classified as receptive only if she exhibited the lordotic posture upon mounting by a male. The lordosis analysis was performed against the total number of mounting with pelvic thrusts by male mouse, which may or may not include penile intromission (Lordosis quotient = Total number of female lordosis/total number of male mounts*100) in a single experimental session as previously described (Beach, 1976; Haga et al., 2010). Rearing behavior was considered a female assuming a defensive upright posture toward a male, with both forepaws in the air and the back straight and stretched. Ejaculation was defined as the end of the intromission period, when the male, after ejaculating, would fall on one side and remain in that position for a couple of seconds. Ultrasonic vocalization Sexually naive male and female mice were subject to the above-described mating test but in a room suited for recording their ultrasonic vocalizations. Recordings were obtained using an UltraVox XT system (Noldus Information Technology), which was capable of recording the full spectrum of sound with a maximum frequency of 160 kHz. Detector outputs were analyzed with UltraVox XT 3.1 software (Noldus Information Technology). The number of vocalizations, mean dominant frequency, duration of the mice vocalizing with each other was recorded and scored. A representative spectrogram of the vocalization was extracted using the UltraVox XT 3.1 software. Elevated plus maze test The elevated plus maze test was performed after 5 weeks of UVB or control treatment with an apparatus measuring 90.0 cm in height made of white plexiglass. The maze consisted of four arms in total (two open arms without walls and two enclosed arms with 15.0-cm high walls). The mice were habituated for 30 min to the experimental room prior to the start of experiment in order to avoid the stress bias of a new environment. Naive mice, who did not undergo any experimental protocols other than the UVB and control treatments were used for this study thus giving us the true measure of the test unhindered from the stress due to other behavioral experiments. The con-trol or UVB-treated mouse was placed in the center of the maze (intersection of the open and closed arms) facing the open arm and was allowed to move for 7 min in the maze. The mouse behavior was recorded in a digital video camera mounted overhead on the ceiling and was scored and analyzed using the Ethovision XT software (Noldus Information Technology). The test was conducted in a reverse 12-hour light/dark condition under the dim red light setting during their active phase cycle. The females were checked for their estrous cycle by vaginal smears prior to the experiment in order to avoid the bias of the state of the cycle influencing the anxiety parameter. Between each trial, the maze was cleaned using Virusolve (Amity International) to avoid cross contamination of odors between gender and treat-ments. The parameters scored included the total time spent giving the cumulative of the time spent either in the open or closed arm and the frequency giving the number of visits by the mouse either in the open or closed arms of the elevated plus-maze. + + e5 Cell Reports 36, 109579, August 24, 2021 Article ll OPEN ACCESS + + Three-chamber test A white, rectangular, plexiglass chamber was divided into three consecutive compartments, with each of the two outer compart-ments containing a wire cage. Small openings in the center of the two partitions facilitated movement throughout the chamber, except into the wire cages. The wire cage limits movement of the stimulus mouse. To habituate the subject mouse to the test cham-ber, it was placed in the center of the middle chamber with freedom of movement on either side of the compartment for 10 min the day before the experiment; no stimuli was introduced. On the day of the experiment, the subject and stimulus mice were brought into the experimental room and habituated to the room for 20 min. Next, the stimulus mice (or novel objects) were placed in the wire cages, one in each cage. The subject mouse was then placed in the center of the middle compartment and allowed to move freely for 15 min. The experiments were performed under a reverse 12-h light/dark phase under dim, red lighting. A digital camera mounted overhead on the ceiling was used to record the mouse's behavior throughout the 15-min session, which was scored using EthoVision XT soft-ware (Noldus Information Technology). Between each trial, the positions of the stimuli were switched, to avoid a confounding error (preferred side of the subject mouse), and the chamber and wire cages were cleaned using Virusolve (Amity International), to avoid cross-contamination of the odors from the subject or the stimulus mice. The coordinates and time stamps of the subject mouse obtained from a live video feed were translated into a number of parameters and further visualized by a heatmap generated with EthoVision XT software (Noldus) to detect the subject mouse's location and movements. We scored the following parameters: latency toward the zone of the cage and near the cage, which are the amounts of time taken by the subject mouse to move toward a compartment with a stimulus. The total time spent in the zone of the cage and near the cage represents the cumulative time spent in the compartment with a stimulus. The frequency of visits to the zone of the cage and near the cage provides the number of times the subject mouse visited a compartment with a stimulus. In all the following schemes, mice received UVB (50 mJ/cm 2 ) or control treatment for 5 weeks. All the female mice were examined prior to the test session for their estrous cycle stage, with only those in their estrus/proestrus stage used in the test. Male subject and two female stimuli The same stimulus females (one UVB-treated and one control female) were tested twice, once with a control male mouse subject and once with a UVB-treated male mouse subject, on separate days. Female subject and two male stimuli The same stimulus males (one UVB-treated and one control male) were tested twice, once with a control female subject and once with a UVB-treated female subject, on separate days. Female subject and two female stimuli The same stimulus females (one UVB-treated and one control female) were tested twice, once with a control female subject and once with a UVB-treated female subject, on separate days. Female subject, a male stimulus, and a novel-object stimulus The same stimulus male (one set of experiments with a UVB-treated male and the other with a control male) were tested twice, once with a control female mouse subject and once with a UVB-treated female mouse subject, on separate days. The novel object (plastic block) was cleaned using Virusolve (Amity International) between each trial. Vaginal smears for estrous cycle evaluation To examine the estrous cycle, a gentle lavage technique was used to collect vaginal smears from each female mouse daily, approx-imately at the same time, for a period of 45 days, starting when the females were 4 weeks old. In the first 2 weeks of smear collection, females were not subject to any treatment. In the following 4 weeks, the females were subjected UVB (50 mJ/cm 2 ) or control treatment. The smear collection involved gently inserting a 200-ml pipette tip containing 30 ml sterile PBS X1 into the vagina to a depth of 3 mm, and the lavage was smeared onto a plain glass slide (76 3 26 mm, Bar Naor Ltd.). The smears were then immediately viewed under a bright field microscope (Nikon) to assess the stage of estrous cycle, as determined by examining the morphology of the cells present in the vaginal smear, as described previously (Caligioni, 2009). The proestrus stage was characterized by the presence of nucleated epithelial cells; the estrus stage by enucleated cornified cells; the metestrus stage by leucocytes, cornified cells, and nucleated epithelial cells; and the diestrus stage by the predominant presence of leucocytes and lower amounts of nucleated cells. For Fig-ure 3B, the proestrus and estrus stage were combined and the diestrus and metestrus stage were combined as previously done (Ajayi and Akhigbe, 2020) for the subsequent analysis. RNA purification and qRT-PCT Flash-frozen tissues were thawed on ice, followed by homogenization with magnetic beads of the desired size (Next Advance) in a Bullet Blender (Next Advance). Total RNA was purified using TriZol (Invitrogen) according to the manufacturer's guidelines. RNA was quantified by measuring the OD 260 nm /OD 280 nm . For the mRNA analysis, the cDNA was prepared using the qScript cDNA synthesis kit (Quantabio) and further subjected to qRT-PCR using PerfeCTa SYBR green FastMix (Quantabio). The data are represented as the + + Cell Reports 36, 109579, August 24, 2021 e6 Article ll OPEN ACCESS + + fold changes relative to the control. All experiments were performed at least in triplicates. All the primer sequences used are pre-sented in Table S5. Histology Following UVB or control treatment of female mice, the ovaries were fixed in 4% paraformaldehyde and paraffin-embedded, followed by staining with hematoxylin (HHS16, Sigma-Aldrich) and eosin (HT110232, Sigma-Aldrich) according to the manufacturer's instruc-tions. Sections of 5 mm were mounted using the DPX mountant (06522, Sigma-Aldrich). The images were obtained with an Aperio Slide Scanner microscope (Leica Biosystem, USA), at 3 20 magnification. Genotyping Genomic DNA was extracted from the tail of a mouse using extraction buffer (25 mM NaOH, 0.2 mM disodium salt EDTA; pH 12) for 60 min, followed by incubation in neutralization buffer. PCR was performed in a 20-ml volume that included 10 ml GoTaq green master mix ( 3 2) (Promega), 0.5 mM Cre primers (with positive control) and 0.5 mM flox primers (Integrated DNA Technologies). Reactions were carried out in a PCR cycler (Biometra PCR Cycler) at 95 C for 3 min, followed by 35 cycles at 95 C for 30 s, a cycle at 55 C for 1 min, and an extension step at 72 C for 5 min. The PCR products were kept at 4 C until electrophoresis in 3% agarose gel. The visualization of the PCR product was done based on its size (Cre-recombinase 100 bp, internal positive control 324 bp, flox 390 bp), and the digital images were captured in a Gel Documentation system (UVITEC Ltd.). Immunoblotting Whole skin tissues were dissected from mice and snap frozen in liquid nitrogen followed by homogenization in RIPA buffer with pro-tease inhibitor (Roche) as previously described (Glaich et al., 2019). This was followed by incubation on ice for 1 hour, then the sam-ples were centrifuged at 10,000 g for 15 mins at 4 C. The resulting clear phase protein was stored at À80 C until further use. Samples were subjected to western blot analysis as described previously (Dror et al., 2016). Membrane was exposed overnight to antibody targeting p53 (ab26, Abcam) and Actin (#A2066, Sigma Aldrich) and proteins were visualized with SuperSignal Chemiluminescent Substrates (Pierce) using horseradish peroxidase-conjugated anti-mouse antibody (#7076, Cell Signaling) and horseradish peroxi-dase-conjugated anti-Rabbit antibody (#ab6721, abcam). The p53 protein levels in each condition were normalized to actin (Q). QUANTIFICATION AND STATISTICAL ANALYSIS The data are shown by means and standard errors. We performed two-tailed Student's t tests for two group comparisons and ANOVA for multiple group comparisons. For the PLS questionnaire, we used IBM SPSS (version 25.0) and conducted Wilcoxon tests to examine within-group differences (ranks of T1 versus T2 for each gender separately). For all the tests, p values < 0.05 were consid-ered significant. All the analyses were performed using Excel (Microsoft Corp.), SPSS (version 25.0), and GraphPad PRISM 8 soft-ware. The statistics details and the software's used for all the experiments can be found in the resources tables and figure legends and the Human questionnaire statistics details can be found in the STAR Methods section: Human questionnaire. + + e7 Cell Reports 36, 109579, August 24, 2021 Article ll OPEN ACCESS + + +
+
diff --git a/grobid-trainer/resources/dataset/segmentation/corpus/tei/Pacman_journal_version.training.segmentation.tei.xml b/grobid-trainer/resources/dataset/segmentation/corpus/tei/Pacman_journal_version.training.segmentation.tei.xml new file mode 100644 index 0000000000..67d4d0c720 --- /dev/null +++ b/grobid-trainer/resources/dataset/segmentation/corpus/tei/Pacman_journal_version.training.segmentation.tei.xml @@ -0,0 +1,79 @@ + + + + + + + Highlights Buckling of a double sector thin elastic plate: Analytical solution Xuyang Chang,Matthieu Vitse, Stéphane Roux • A novel geometry is proposed, which can buckle from an initial planar configuration into a complex 3D shape under tensile load. More importantly, the parametrized closed-form solution of the deformed geometry is obtained analytically. • The mechanical analysis of the buckling and post-buckling behavior is also provided. • This closed-form solution can be used to benchmark either a numerical simulation of buckling or a Stereo Digital Image Correlation (Stereo-DIC) code. Buckling of a double sector thin elastic plate: Analytical solution Xuyang Chang a, * , Matthieu Vitse a,b and Stéphane Roux a a Université Paris-Saclay, CentraleSupélec, ENS Paris-Saclay, CNRS, LMPS -Laboratoire de Mécanique Paris-Saclay, Avenue de Science, Gif-sur-Yvette, 91190, , France b SciViz, Paris, France A R T I C L E I N F O Keywords: Elastic Buckling Analytical solution Geometrical instability A B S T R A C T Analytical solutions for elastic buckling and post-buckling geometries are scarce. The present work presents such a solution for a sample geometry, initially planar, which buckles into a complex 3D shape under tensile load. The assumptions are that the sample thickness is small, so that flexural stiffness is low compared to in-plane strain stiffness, and hence the sample can be considered inextensible. The initial geometry is composed of two disk angular sectors sharing a common edge. Under tensile loading, the two radial edges of each sector tend to align so that each half turns into two regular cone sectors. As the tensile load increases, the cone angle progressively decreases, but the same generic form holds the sample extension all along the tensile direction. Such a solution may be useful for validating numerical simulation tools, or stereo-vision shape measurement procedures. + + 1. Introduction Buckling of elastic solids is a fundamental problem of high practical interest as it may limit the load-bearing capacity of engineering structures Godoy (1999), and also because it may trigger the emergence of new shapes and patterns in biology (from plant leaves to brain circumvolutions) Thompson (1942). A considerable amount of work has been devoted to initially simple geometries such as plates or shells (cylinder, sphere) where its closed-form solutions could be obtained Yamaki (1984). Buckling has also become a paradigm for problems of non-linear complex systems. Notably, the formation of highly generic patterns such as wrinkles, ridges, folds, or singular developable cones has been identified as a ubiquitous phenomenon with which post-buckled thin plate geometries could be understood Ben Amar and Pomeau (1997); Chaïeb, Melo and Géminard (1998); Cerda and Mahadevan (2003); Hamm, Roman and Melo (2004); Ouchi, Yang, Suo and Hayward (2018). Until now, many applications of these instabilities involve surfaces that are patterned into regions with different material properties Genzer and Groenewold (2006); Xu, Chen and Hayward (2014). Nevertheless, the geometrical nature of a buckling instability also gives a wide range of relevance, as this instability may occur at a stage where materials are still in their linear elastic domain, and hence, the buckled geometry is weakly dependent on the material, and the critical load (the onset of buckling) varies in proportion to the elastic modulus. However, despite the fact that the buckling behavior of elastic solids under load can often be anticipated, analytical solutions are rather scarce. A notable exception is the "tension-field theory" which describes very thin elastic films, which would buckle in compression when subject to a vanishing small compressive stress Reissner (1938); Stein and Hedgepeth (1961); Mansfield (1969). This limit can be incorporated into an effective constitutive law that accounts for this unilaterally Wang and Pipkin (1986); Steigmann (1990); Mahmood, Audoly and Roux (2018). Such a formulation makes the problem of buckling amenable to new analytic or numerical tools. Yet, closed-form solutions are still mostly restricted to elementary geometries. In the present study, a particular geometry is introduced that leads to an analytic solution for buckling, and post-buckling. It concerns thin elastic plates which exhibit a very low (vanishing) bending stiffness, so that in-plane strain can be neglected. A notable property of the proposed geometry is that the initial state is planar, but the buckled and post-buckled configurations are not. The full evolution of the geometry under displacement load (the onset of buckling, and the post-buckling behavior) as well as the force-displacement relation are described analytically. + + ⋆ This work has been supported by EikoSim, and the Ecole Normale Supérieure Paris-Saclay. * Corresponding author xuyang.chang@ens-paris-saclay.fr (X. Chang); stephane.roux@ens-paris-saclay.fr (.S. Roux) https://gitlab.com/sciviz/blendic (M. Vitse) ORCID(s): 0000-0002-8239-4714 (X. Chang); 0000-0002-4230-6396 (M. Vitse); 0000-0003-4885-6732 (.S. Roux) + + Xuyang Chang, Matthieu Vitse, Stéphane Roux: Preprint submitted to Elsevier + + Page 1 of 8 + + Buckling of a double sector thin elastic plate: Analytical solution + + Figure 1: Geometry of the sample The paper is organized as follows: in Section 2, the design of the initial geometry is provided along with its progressive evolution as a function of the overall extension of the sample. In Section 3, mechanical analysis of the buckling phenomenon is carried out over the proposed geometry to compute the tensile force as a function of the sample extension. In Section 4, conclusions and perspectives are drawn. 2. Model Let us consider a planar sample shown in Fig. 1 that consists of two disk sector ring sharing a common edge along BC. The two sectors BCEA and CBFD are symmetric with respect to the midpoint between B and C. The disk radius is denoted 1 . The midpoint along the outer circle is denoted E (resp. F) for the first (resp. second) sector. The geometry is parametrized by the angle = ̂ = ̂ = ̂ = ̂ . A thin elastic plate having the shape of the geometry shown in Fig. 1 is considered. In practice, to avoid stress singularity at angular points B and C, two small circular holes centered in B and C can be cut out of the sample (for instance, the inner circle radius can be chosen as say one-tenth of the external radius). The presence of such holes has a negligible influence on the buckled shape solution, but limits the risk of plastification or tearing in the vicinity of these points. "Thin" implies that the bending stiffness is small and in-plane stretch can be neglected. In the following, the plate will be assumed to be in-extensible. The sample is under tensile load between points A and D. When < ∕2, the segment AD lies inside the sample, and hence, because of inextensibility, it is not possible to stretch this segment any further than its end-to-end length. In contrast, when > ∕2, it is possible to deform the sample up to the stage where ABCD is aligned onto a straight segment. This configuration is obviously an upper bound on the maximum stretch that can be applied to the structure while violating inextensibility. It is first assumed that the point-symmetry, with respect to the mid-point between B and C, is not broken in the buckled configuration. Hence, the problem of geometrical description at each given load can be reduced to the upper section ABCE. + + Xuyang Chang, Matthieu Vitse, Stéphane Roux: Preprint submitted to Elsevier + + Page 2 of 8 + + Buckling of a double sector thin elastic plate: Analytical solution + + Figure 2: Illustration of the deformed arc Γ (black curve). It consists of two parts AE and EC which are two arcs that belong to the sphere centered in B, and belong to two cones whose apex is B and which are tangent to each other along the BE line. Both cones and the sphere are drawn with transparent colors. The arc AEC is initially located at a uniform distance to point B. Because the sample is assumed to be inextensible, the deformed arc AEC, denoted as Γ , remains at a fixed distance from center B, i.e., it lies on the sphere of radius 1 centered in B. Thus, the deformed (buckled) sample geometry is a conical surface whose apex is point B and ends on the dielectrics Γ . Let us emphasize that the elastic energy of the buckled configuration can thus be inferred from the curvature of the deformed arc Γ , and the least elastic energy corresponds to the smaller L2 norm of the arc curvature. The arc length of Γ is 2 = 2 1 in the initial geometry, and because of inextensibility, it remains constant in the deformed configuration. Hence the problem reduces to finding an arc Γ along the sphere with a fixed arc length, such that its end-to-end distance achieves a pre-defined value larger than the initial one (and obviously smaller or equal to 2 1 ) with the least L2 norm of its curvature. Among such curves that would minimize its curvature and elastic energy, one may consider circles whose radius can only be smaller than 1 . However, a constant arc length 2 on such circles brings the end point closer to the starting point and hence is not a feasible solution to the problem. Nevertheless, two such segments of two tangent circles having the same radius allow to form a curve Γ that meets the desired objective of bringing point C closer to the symmetric point of A with respect to B. Because the curvature remains constant, it corresponds to a minimum L2 norm of the arc curvature and hence of the deformed plate. These simple observations provide a global and qualitative solution to the buckling problem. To give further insight into the problem, the following gives an analytical characterization of the deformed configuration. 2.1. First circle arc Its length is half that of the initial Γ , hence = 1 . In the deformed configuration, its radius is , and hence the polar angle around the cone axis is such that = 1 . The cone semi-angle is denoted as , and the associated stretching parameter, , reads as = 2 (1) Because the -axis is part of the cone, the cone axis is inclined at an angle from the -axis. This leads to the relation = 1 sin( ) (2) + + Xuyang Chang, Matthieu Vitse, Stéphane Roux: Preprint submitted to Elsevier + + Page 3 of 8 + + Buckling of a double sector thin elastic plate: Analytical solution + + and thus = sin( ) (3) Conventionally, the axis can be oriented in the ( , ) plane, and hence its direction vector, , is written 1 = sin( ) 0 cos( ) (4) The projection of the first circle on its cone axis is the vector 1 , where = 1 cos( ) = 2 1 − 2 . Thus, choosing the origin of the frame in B, the AE arc is parameterized with 0 ≤ ≤ , reads as = ( 1 ∕2) sin(2 )(1 − cos( )) = 1 sin( ) sin( ) = ( 1 ∕2)[(1 + cos(2 )) + (1 − cos(2 )) cos( )] (5) The end point E is obtained from the previous expression with = . More compact writing of such an arc is obtained via quaternions to encode the 3D rotation. Indeed, the rotation about the axis 1 , by an angle , is written 1 ( ) = (cos( ∕2), sin( ∕2) 1 ). Vectors in 3D, such as 1 , are 3 component elements denoted with bold and italic fonts. Quaternions are written as 4D vectors, and denoted by bold but non-italicised fonts. A vector 1 can be associated to the quaternion 1 = (0, 1 ) = (0, sin( ), 0, cos( )) with a null real part (the first component of the quaternion). The rotation of the BA vector (written as a quaternion 0 = 1 (0, 0, 0, 1)), about the axis 1 by an angle is obtained from = 1 ( ). 0 . 1 ( ) (6) using the standard multiplication rules for quaternions, and where denotes the conjugate of . Using the above presentation, the BE vector is obtained as the quaternion . 2.2. Second circle arc The second part of the arc, is also a cone of similar semi-angle , and axis along 2 . The point E is part of this second cone, and the two circles are tangent at this point. Thus 1 and 2 are symmetric with respect to the BE line. The projection of 1 along the BE direction has a length 1 cos( ) 2 , and hence 1 + 2 = cos( ) 2 . Quaternions offer again a convenient expression for 2 as the rotation of 2 about the BE vector by an angle . This rotation is written = (1∕ 1 ) , and hence 2 = . 1 . (7) The second part of the arc, segment EC, is obtained from BE by a rotation about 2 by an angle − , for 0 ≤ ≤ . This rotation is written 2 ( ) = (cos( ∕2), − sin( ∕2) 2 ), and the arc is described by the quaternion = 2 ( ). . 2 ( ) (8) and hence vector BC is . Now that the first half of the sample in its deformed configuration has been described as a function of the single parameter , the second half is deduced by a mere point symmetry about the midpoint between B and C. This completes the description of the full deformed geometry. As an illustration, 1 Figure 3 shows respectively the initial reference geometry, the intermediary deformed configuration, the maximum deformed geometry (with a corresponding parameter p = 1, 1.2, 1.45). Let us note that at the maximum deformed configuration (Figure 3 and Figure 4), points A, B, C and D are all aligned with the -axis. + + 1 Using the provided closed-form solution, the visual rendering is achieved via the BlenDIC add-on for Blender software Vitse + + Xuyang Chang, Matthieu Vitse, Stéphane Roux: Preprint submitted to Elsevier + + Page 4 of 8 + + Buckling of a double sector thin elastic plate: Analytical solution + + < l a t e x i t s h a 1 _ b a s e 6 4 = " P y D + v D B 2 6 7 h B 0 6 u G y L T n j G C p a z w = " > A A A C 1 H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R L x t S y 6 c V n B P q A t k k y n d W i a h M l E K L U r c e s P u N V v E v 9 A / 8 I 7 Y w o + E J 2 Q 5 M y 5 5 9 y Z e 6 8 f B y J R j v O S s 2 Z m 5 + Y X 8 o u F p e W V 1 b X i + k Y 9 i V L J e I 1 F Q S S b v p f w Q I S 8 p o Q K e D O W 3 B v 6 A W / 4 g 1 M d b 1 x z m Y g o v F C j m H e G X j 8 U P c E 8 R d R l c a 3 d k x 4 b H 7 R j M R m 7 h 5 P L Y s k p O 2 b Z P 4 G b g R K y V Y 2 K z 2 i j i w g M K Y b g C K E I B / C Q 0 N O C C w c x c R 2 M i Z O E h I l z T F A g b 0 o q T g q P 2 A F 9 + 7 R r Z W x I e 5 0 z M W 5 G p w T 0 S n L a 2 C F P R D p J W J 9 m m 3 h q M m v 2 t 9 x j k 1 P f b U R / P 8 s 1 J F b h i t i / f F P l f 3 2 6 F o U e j k 0 N g m q K D a O r Y 1 m W 1 H R F 3 9 z + V J W i D D F x G n c p L g k z 4 5 z 2 2 T a e x N S u e + u Z + K t R a l b v W a Z N 8 a Z v S Q N 2 v 4 / z J 6 j v l d 3 D 8 v 7 5 f q l y k o 0 6 j y 1 s Y 5 f m e Y Q K z l B F z c z 8 A Y 9 4 s u r W j X V r 3 X 1 I r V z m 2 c S X Z d 2 / A 7 W a l Y Q = < / l a t e x i t > 5⇡ 16 < l a t e x i t s h a 1 _ b a s e 6 4 = " Y E a A k F t F s 5 l z l A 3 e C I 8 W f I o Y Z 8 o = " > A A A C x 3 i c j V H L S s N A F D 2 N r 1 p f V Z d u g k W o m 5 J I U Z d F N 7 q r Y B 9 Q i y T p t B 2 a Z E I y K Z b i w h 9 w q 3 8 m / o H + h X f G F N Q i O i H J m X P v O T P 3 X j f y e S I t 6 z V n L C w u L a / k V w t r 6 x u b W 8 X t n W Y i 0 t h j D U / 4 I m 6 7 T s J 8 H r K G 5 N J n 7 S h m T u D 6 r O W O z l W 8 N W Z x w k V 4 L S c R 6 w b O I O R 9 7 j l S U W l Z H t 4 W S 1 b F 0 s u c B 3 Y G S s h W X R R f c I M e B D y k C M A Q Q h L 2 4 S C h p w M b F i L i u p g S F x P i O s 5 w j w J p U 8 p i l O E Q O 6 L v g H a d j A 1 p r z w T r f b o F J / e m J Q m D k g j K C 8 m r E 4 z d T z V z o r 9 z X u q P d X d J v R 3 M 6 + A W I k h s X / p Z p n / 1 a l a J P o 4 1 T V w q i n S j K r O y 1 x S 3 R V 1 c / N L V Z I c I u I U 7 l E 8 J u x p 5 a z P p t Y k u n b V W 0 f H 3 3 S m Y t X e y 3 J T v K t b 0 o D t n + O c B 8 2 j i n 1 c q V 5 V S 7 W z b N R 5 7 G E f Z Z r n C W q 4 Q B 0 N 8 h 7 i E U 9 4 N i 4 N Y Y y N u 8 9 U I 5 d p d v F t G Q 8 f r l G Q Z g = = < / l a t e x i t > u(t) < l a t e x i t s h a 1 _ b a s e 6 4 = " 5 3 z p y J D n Z y D w d j n 7 s 9 c T / x 7 x a N g = " > A A A C z H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w F R I R d S M U 3 b i S C v Y h t Z R k O q 2 h e Z F M h F K 6 9 Q f c 6 n e J f 6 B / 4 Z 1 x C m o R n Z D k z L n 3 n J l 7 r 5 c E f i Z s + 7 V g z M 0 v L C 4 V l 0 s r q 2 v r G + X N r U Y W 5 y n j d R Y H c d r y 3 I w H f s T r w h c B b y U p d 0 M v 4 E 1 v e C 7 j z X u e Z n 4 c X Y t R w j u h O 4 j 8 v s 9 c Q d R N 0 n X M U 9 O x 7 G 6 5 Y l u 2 W u Y s c D S o Q K 9 a X H 7 B L X q I w Z A j B E c E Q T i A i 4 y e N h z Y S I j r Y E x c S s h X c Y 4 J S q T N K Y t T h k v s k L 4 D 2 r U 1 G 9 F e e m Z K z e i U g N 6 U l C b 2 S B N T X k p Y n m a q e K 6 c J f u b 9 1 h 5 y r u N 6 O 9 p r 5 B Y g T t i / 9 J N M / + r k 7 U I 9 H G i a v C p p k Q x s j q m X X L V F X l z 8 0 t V g h w S 4 i T u U T w l z J R y 2 m d T a T J V u + y t q + J v K l O y c s 9 0 b o 5 3 e U s a s P N z n L O g c W A 5 R 9 b h 1 W G l e q Z H X c Q O d r F P 8 z x G F R e o o U 7 e I R 7 x h G f j 0 h D G 2 J h 8 p h o F r d n G t 2 U 8 f A B l 0 J F q < / l a t e x i t > p 1 = 1.0 < l a t e x i t s h a 1 _ b a s e 6 4 = " g g 4 0 5 Q 4 7 n r f t r U C 2 6 Y Z U R 8 U N S t I = " > A A A C z H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V Z J S 1 I 1 Q d O N K K t i H 1 F K S d F q H 5 k U y E U r p 1 h 9 w q 9 8 l / o H + h X f G K a h F d E K S M + f e c 2 b u v W 7 s 8 1 R Y 1 m v O W F h c W l 7 J r x b W 1 j c 2 t 4 r b O 8 0 0 y h K P N b z I j 5 K 2 6 6 T M 5 y F r C C 5 8 1 o 4 T 5 g S u z 1 r u 6 F z G W / c s S X k U X o t x z L q B M w z 5 g H u O I O o m 7 l X M U 9 M u V 3 r F k l W 2 1 D L n g a 1 B C X r V o + I L b t F H B A 8 Z A j C E E I R 9 O E j p 6 c C G h Z i 4 L i b E J Y S 4 i j N M U S B t R l m M M h x i R / Q d 0 q 6 j 2 Z D 2 0 j N V a o 9 O 8 e l N S G n i g D Q R 5 S W E 5 W m m i m f K W b K / e U + U p 7 z b m P 6 u 9 g q I F b g j 9 i / d L P O / O l m L w A A n q g Z O N c W K k d V 5 2 i V T X Z E 3 N 7 9 U J c g h J k 7 i P s U T w p 5 S z v p s K k 2 q a p e 9 d V T 8 T W V K V u 4 9 n Z v h X d 6 S B m z / H O c 8 a F b K 9 l G 5 e l U t 1 c 7 0 q P P Y w z 4 O a Z 7 H q O E C d T T I O 8 A j n v B s X B r C m B j T z 1 Q j p z W 7 + L a M h w 9 s 9 p F t < / l a t e x i t > p 2 = 1.2 < l a t e x i t s h a 1 _ b a s e 6 4 = " M o k M 6 B 6 h S 6 I M 1 4 2 j Z e 5 A D l D I M + Y = " > A A A C z n i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w F R K t 2 o 1 Q d O O y g n 1 A L S W Z T m t o X i S T Q i n F r T / g V j 9 L / A P 9 C + + M K a h F d E K S M + e e c 2 f u v U 7 k u Y k w z d e c t r C 4 t L y S X y 2 s r W 9 s b h W 3 d x p J m M a M 1 1 n o h X H L s R P u u Q G v C 1 d 4 v B X F 3 P Y d j z e d 4 a W M N 0 c 8 T t w w u B H j i H d 8 e x C 4 f Z f Z g q h 2 1 D 3 W z 3 X L K F d O u s W S a Z h q 6 f P A y k A J 2 a q F x R f c o o c Q D C l 8 c A Q Q h D 3 Y S O h p w 4 K J i L g O J s T F h F w V 5 5 i i Q N 6 U V J w U N r F D + g 5 o 1 8 7 Y g P Y y Z 6 L c j E 7 x 6 I 3 J q e O A P C H p Y s L y N F 3 F U 5 V Z s r / l n q i c 8 m 5 j + j t Z L p 9 Y g T t i / / L N l P / 1 y V o E + q i o G l y q K V K M r I 5 l W V L V F X l z / U t V g j J E x E n c o 3 h M m C n n r M + 6 8 i S q d t l b W 8 X f l F K y c s 8 y b Y p 3 e U s a s P V z n P O g c W R Y p 0 b 5 u l y q X m S j z m M P + z i k e Z 6 h i i v U U F c d f 8 Q T n r W a N t K m 2 v 2 n V M t l n l 1 8 W 9 r D B 8 c J k f E = < / l a t e x i t > p 3 = 1.485 < l a t e x i t s h a 1 _ b a s e 6 4 = " Y E a A k F t F s 5 l z l A 3 e C I 8 W f I o Y Z 8 o = " > A A A C x 3 i c j V H L S s N A F D 2 N r 1 p f V Z d u g k W o m 5 J I U Z d F N 7 q r Y B 9 Q i y T p t B 2 a Z E I y K Z b i w h 9 w q 3 8 m / o H + h X f G F N Q i O i H J m X P v O T P 3 X j f y e S I t 6 z V n L C w u L a / k V w t r 6 x u b W 8 X t n W Y i 0 t h j D U / 4 I m 6 7 T s J 8 H r K G 5 N J n 7 S h m T u D 6 r O W O z l W 8 N W Z x w k V 4 L S c R 6 w b O I O R 9 7 j l S U W l Z H t 4 W S 1 b F 0 s u c B 3 Y G S s h W X R R f c I M e B D y k C M A Q Q h L 2 4 S C h p w M b F i L i u p g S F x P i O s 5 w j w J p U 8 p i l O E Q O 6 L v g H a d j A 1 p r z w T r f b o F J / e m J Q m D k g j K C 8 m r E 4 z d T z V z o r 9 z X u q P d X d J v R 3 M 6 + A W I k h s X / p Z p n / 1 a l a J P o 4 1 T V w q i n S j K r O y 1 x S 3 R V 1 c / N L V Z I c I u I U 7 l E 8 J u x p 5 a z P p t Y k u n b V W 0 f H 3 3 S m Y t X e y 3 J T v K t b 0 o D t n + O c B 8 2 j i n 1 c q V 5 V S 7 W z b N R 5 7 G E f Z Z r n C W q 4 Q B 0 N 8 h 7 i E U 9 4 N i 4 N Y Y y N u 8 9 U I 5 d p d v F t G Q 8 f r l G Q Z g = = < / l a t e x i t > u(t) < l a t e x i t s h a 1 _ b a s e 6 4 = " h r V 1 Z V U X + / C h L h M b D p q 2 x z r e c Y w = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r I q i M s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 p e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a J z f l i l N 1 z L J n g Z u D C v L 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G P W k l y G r J t m z I v 8 k H X 8 8 b m K d + 5 Y J n g S X 8 l J y v q R N 4 r 5 k A e e J K p Z v y m V n Y q j l z 0 P X A P K M K u R l F 5 w j Q E S B M g R g S G G J B z C g 6 C n B x c O U u L 6 m B K X E e I 6 z n C P N d L m l M U o w y N 2 T N 8 R 7 X q G j W m v P I V W B 3 R K S G 9 G S h u H p E k o L y O s T r N 1 P N f O i v 3 N e 6 o 9 1 d 0 m 9 P e N V 0 S s x C 2 x f + l m m f / V q V o k h j j T N X C q K d W M q i 4 w L r n u i r q 5 / a U q S Q 4 p c Q o P K J 4 R D r R y 1 m d b a 4 S u X f X W 0 / E 3 n a l Y t Q 9 M b o 5 3 d U s a s P t z n P O g f V x x T y r V Z r V c q 5 t R F 7 G P A x z R P E 9 R w y U a a G n v R z z h 2 b q w Q k t Y + W e q V T C a P X x b 1 s M H 7 b u P U A = = < / l a t e x i t > B < l a t e x i t s h a 1 _ b a s e 6 4 = " b n P Y h o G F R h 2 0 g h q b s E o M m t l h 8 / 8 = " > A A A C x H i c j V H L S s N A F D 2 N r / q u u n Q T L I K r k k h R l 8 W C u G z B P q A W S d J p H Z o X m Y l Q i v 6 A W / 0 2 8 Q / 0 L 7 w z T k E t o h O S n D n 3 n j N z 7 / X T k A v p O K 8 F a 2 F x a X m l u L q 2 v r G 5 t V 3 a 2 W 2 L J M 8 C 1 g q S M M m 6 v i d Y y G P W k l y G r J t m z I v 8 k H X 8 c V 3 F O 3 c s E z y J r + Q k Z f 3 I G 8 V 8 y A N P E t W s 3 5 T K T s X R y 5 4 H r g F l m N V I S i + 4 x g A J A u S I w B B D E g 7 h Q d D T g w s H K X F 9 T I n L C H E d Z 7 j H G m l z y m K U 4 R E 7 p u + I d j 3 D x r R X n k K r A z o l p D c j p Y 1 D 0 i S U l x F W p 9 k 6 n m t n x f 7 m P d W e 6 m 4 T + v v G K y J W 4 p b Y v 3 S z z P / q V C 0 S Q 5 z p G j j V l G p G V R c Y l 1 x 3 R d 3 c / l K V J I e U O I U H F M 8 I B 1 o 5 6 7 O t N U L X r n r r 6 f i b z l S s 2 g c m N 8 e 7 u i U N 2 P 0 5 z n n Q P q 6 4 J 5 V q s 1 q u n Z t R F 7 G P A x z R P E 9 R w y U a a G n v R z z h 2 b q w Q k t Y + W e q V T C a P X x b 1 s M H 8 B u P U Q = = < / l a t e x i t > C < l a t e x i t s h a 1 _ b a s e 6 4 = " c R 3 e J 8 y u A R j G j O C N T / 0 e n 2 Y H G A k = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r K o i M s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 q e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a Z z f l i l N 1 z L J n g Z u D C v L V i M s v u E Y f M Q J k C M E Q Q R E W 8 C D p 6 c K F g 4 S 4 H i b E p Y S 4 i T P c o 0 T a j L I Y Z X j E j u g 7 p F 0 3 Z y P a a 0 9 p 1 A G d I u h N S W l j j z Q x 5 a W E 9 W m 2 i W f G W b O / e U + M p 7 7 b m P 5 + 7 h U S q 3 B L 7 F + 6 a e Z / d b o W h Q G O T Q 2 c a k o M o 6 s L c p f M d E X f 3 P 5 S l S K H h D i N + x R P C Q d G O e 2 z b T T S 1 K 5 7 6 5 n 4 m 8 n U r N 4 H e W 6 G d 3 1 L G r D 7 c 5 y z o H 1 Q d Q + r t W a t U j / J R 1 3 E D n a x T / M 8 Q h 0 X a K B l v B / x h G f r 3 B K W t L L P V K u Q a 7 b x b V k P H / J 7 j 1 I = < / l a t e x i t > D < l a t e x i t s h a 1 _ b a s e 6 4 = " h r V 1 Z V U X + / C h L h M b D p q 2 x z r e c Y w = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r I q i M s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 p e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a J z f l i l N 1 z L J n g Z u D C v L V i M s v u E Y f M Q J k C M E Q Q R E W 8 C D p 6 c K F g 4 S 4 H i b E p Y S 4 i T P c o 0 T a j L I Y Z X j E j u g 7 p F 0 3 Z y P a a 0 9 p 1 A G d I u h N S W l j j z Q x 5 a W E 9 W m 2 i W f G W b O / e U + M p 7 7 b m P 5 + 7 h U S q 3 B L 7 F + 6 a e Z / d b o W h Q G O T Q 2 c a k o M o 6 s L c p f M d E X f 3 P 5 S l S K H h D i N + x R P C Q d G O e 2 z b T T S 1 K 5 7 6 5 n 4 m 8 n U r N 4 H e W 6 G d 3 1 L G r D 7 c 5 y z o H 1 Q d Q + r t W a t U j / N R 1 3 E D n a x T / M 8 Q h 0 X a K B l v B / x h G f r 3 B K W t L L P V K u Q a 7 b x b V k P H + t b j 0 8 = < / l a t e x i t > A < l a t e x i t s h a 1 _ b a s e 6 4 = " f p N p 0 q G J L M 9 4 5 + 3 9 c X b G f O c 7 3 8 0 = " > A A A C x H i c j V H L S s N A F D 2 N r / q u u n Q T L I K r k k h R l 6 W C u G z B P q A W S d J p H Z o X m Y l Q i v 6 A W / 0 2 8 Q / 0 L 7 w z T k E t o h O S n D n 3 n j N z 7 / X T k A v p O K 8 F a 2 F x a X m l u L q 2 v r G 5 t V 3 a 2 W 2 L J M 8 C 1 g q S M M m 6 v i d Y y G P W k l y G r J t m z I v 8 k H X 8 8 b m K d + 5 Y J n g S X 8 l J y v q R N 4 r 5 k A e e J K p Z v y m V n Y q j l z 0 P X A P K M K u R l F 5 w j Q E S B M g R g S G G J B z C g 6 C n B x c O U u L 6 m B K X E e I 6 z n C P N d L m l M U o w y N 2 T N 8 R 7 X q G j W m v P I V W B 3 R K S G 9 G S h u H p E k o L y O s T r N 1 P N f O i v 3 N e 6 o 9 1 d 0 m 9 P e N V 0 S s x C 2 x f + l m m f / V q V o k h j j T N X C q K d W M q i 4 w L r n u i r q 5 / a U q S Q 4 p c Q o P K J 4 R D r R y 1 m d b a 4 S u X f X W 0 / E 3 n a l Y t Q 9 M b o 5 3 d U s a s P t z n P O g f V x x T y r V Z r V c q 5 t R F 7 G P A x z R P E 9 R w y U a a G n v R z z h 2 b q w Q k t Y + W e q V T C a P X x b 1 s M H 7 b u P U A = = < / l a t e x i t > B < l a t e x i t s h a 1 _ b a s e 6 4 = " b n P Y h o G F R h 2 0 g h q b s E o M m t l h 8 / 8 = " > A A A C x H i c j V H L S s N A F D 2 N r / q u u n Q T L I K r k k h R l 8 W C u G z B P q A W S d J p H Z o X m Y l Q i v 6 A W / 0 2 8 Q / 0 L 7 w z T k E t o h O S n D n 3 n j N z 7 / X T k A v p O K 8 F a 2 F x a X m l u L q 2 v r G 5 t V 3 a 2 W 2 L J M 8 C 1 g q S M M m 6 v i d Y y G P W k l y G r J t m z I v 8 k H X 8 c V 3 F O 3 c s E z y J r + Q k Z f 3 I G 8 V 8 y A N P E t W s 3 5 T K T s X R y 5 4 H r g F l m N V I S i + 4 x g A J A u S I w B B D E g 7 h Q d D T g w s H K X F 9 T I n L C H E d Z 7 j H G m l z y m K U 4 R E 7 p u + I d j 3 D x r R X n k K r A z o l p D c j p Y 1 D 0 i S U l x F W p 9 k 6 n m t n x f 7 m P d W e 6 m 4 T + v v G K y J W 4 p b Y v 3 S z z P / q V C 0 S Q 5 z p G j j V l G p G V R c Y l 1 x 3 R d 3 c / l K V J I e U O I U H F M 8 I B 1 o 5 6 7 O t N U L X r n r r 6 f i b z l S s 2 g c m N 8 e 7 u i U N 2 P 0 5 z n n Q P q 6 4 J 5 V q s 1 q u n Z t R F 7 G P A x z R P E 9 R w y U a a G n v R z z h 2 b q w Q k t Y + W e q V T C a P X x b 1 s M H 8 B u P U Q = = < / l a t e x i t > C < l a t e x i t s h a 1 _ b a s e 6 4 = " c R 3 e J 8 y u A R j G j O C N T / 0 e n 2 Y H G A k = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r K o i M s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 q e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a Z z f l i l N 1 z L J n g Z u D C v L V i M s v u E Y f M Q J k C M E Q Q R E W 8 C D p 6 c K F g 4 S 4 H i b E p Y S 4 i T P c o 0 T a j L I Y Z X j E j u g 7 p F 0 3 Z y P a a 0 9 p 1 A G d I u h N S W l j j z Q x 5 a W E 9 W m 2 i W f G W b O / e U + M p 7 7 b m P 5 + 7 h U S q 3 B L 7 F + 6 a e Z / d b o W h Q G O T Q 2 c a k o M o 6 s L c p f M d E X f 3 P 5 S l S K H h D i N + x R P C Q d G O e 2 z b T T S 1 K 5 7 6 5 n 4 m 8 n U r N 4 H e W 6 G d 3 1 L G r D 7 c 5 y z o H 1 Q d Q + r t W a t U j / J R 1 3 E D n a x T / M 8 Q h 0 X a K B l v B / x h G f r 3 B K W t L L P V K u Q a 7 b x b V k P H / J 7 j 1 I = < / l a t e x i t > D < l a t e x i t s h a 1 _ b a s e 6 4 = " g J + L H Q I o 1 U V B j P Z z C v O r N Z U S u e M = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r I o i s s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 q e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a Z z f l i l N 1 z L J n g Z u D C v L V i M s v u E Y f M Q J k C M E Q Q R E W 8 C D p 6 c K F g 4 S 4 H i b E p Y S 4 i T P c o 0 T a j L I Y Z X j E j u g 7 p F 0 3 Z y P a a 0 9 p 1 A G d I u h N S W l j j z Q x 5 a W E 9 W m 2 i W f G W b O / e U + M p 7 7 b m P 5 + 7 h U S q 3 B L 7 F + 6 a e Z / d b o W h Q G O T Q 2 c a k o M o 6 s L c p f M d E X f 3 P 5 S l S K H h D i N + x R P C Q d G O e 2 z b T T S 1 K 5 7 6 5 n 4 m 8 n U r N 4 H e W 6 G d 3 1 L G r D 7 c 5 y z o H 1 Q d Q + r t W a t U j / J R 1 3 E D n a x T / M 8 Q h 0 X a K B l v B / x h G f r 3 B K W t L L P V K u Q a 7 b x b V k P H / T b j 1 M = < / l a t e x i t > E < l a t e x i t s h a 1 _ b a s e 6 4 = " c t b m L E m Y D U 7 B q Z V I c D 7 i X Z U B Z S 0 = " > A A A C x H i c j V H L S s N A F D 2 N r / q u u n Q T L I K r k k h R l 0 W h u G z B P q A W S d J p D Z 0 8 y E y E U v Q H 3 O q 3 i X + g f + G d c Q p q E Z 2 Q 5 M y 5 9 5 y Z e 6 + f 8 l B I x 3 k t W A u L S 8 s r x d W 1 9 Y 3 N r e 3 S z m 5 b J H k W s F a Q 8 C T r + p 5 g P I x Z S 4 a S s 2 6 a M S / y O e v 4 4 w s V 7 9 y x T I R J f C U n K e t H 3 i g O h 2 H g S a K a 9 Z t S 2 a k 4 e t n z w D W g D L M a S e k F 1 x g g Q Y A c E R h i S M I c H g Q 9 P b h w k B L X x 5 S 4 j F C o 4 w z 3 W C N t T l m M M j x i x / Q d 0 a 5 n 2 J j 2 y l N o d U C n c H o z U t o 4 J E 1 C e R l h d Z q t 4 7 l 2 V u x v 3 l P t q e 4 2 o b 9 v v C J i J W 6 J / U s 3 y / y v T t U i M c S Z r i G k m l L N q O o C 4 5 L r r q i b 2 1 + q k u S Q E q f w g O I Z 4 U A r Z 3 2 2 t U b o 2 l V v P R 1 / 0 5 m K V f v A 5 O Z 4 V 7 e k A b s / x z k P 2 s c V 9 6 R S b V b L t X M z 6 i L 2 c Y A j m u c p a r h E A y 3 t / Y g n P F t 1 i 1 v C y j 9 T r Y L R 7 O H b s h 4 + A P c 7 j 1 Q = < / l a t e x i t > F < l a t e x i t s h a 1 _ b a s e 6 4 = " g J + L H Q I o 1 U V B j P Z z C v O r N Z U S u e M = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r I o i s s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 q e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a Z z f l i l N 1 z L J n g Z u D C v L V i M s v u E Y f M Q J k C M E Q Q R E W 8 C D p 6 c K F g 4 S 4 H i b E p Y S 4 i T P c o 0 T a j L I Y Z X j E j u g 7 p F 0 3 Z y P a a 0 9 p 1 A G d I u h N S W l j j z Q x 5 a W E 9 W m 2 i W f G W b O / e U + M p 7 7 b m P 5 + 7 h U S q 3 B L 7 F + 6 a e Z / d b o W h Q G O T Q 2 c a k o M o 6 s L c p f M d E X f 3 P 5 S l S K H h D i N + x R P C Q d G O e 2 z b T T S 1 K 5 7 6 5 n 4 m 8 n U r N 4 H e W 6 G d 3 1 L G r D 7 c 5 y z o H 1 Q d Q + r t W a t U j / J R 1 3 E D n a x T / M 8 Q h 0 X a K B l v B / x h G f r 3 B K W t L L P V K u Q a 7 b x b V k P H / T b j 1 M = < / l a t e x i t > E < l a t e x i t s h a 1 _ b a s e 6 4 = " c t b m L E m Y D U 7 B q Z V I c D 7 i X Z U B Z S 0 = " > A A A C x H i c j V H L S s N A F D 2 N r / q u u n Q T L I K r k k h R l 0 W h u G z B P q A W S d J p D Z 0 8 y E y E U v Q H 3 O q 3 i X + g f + G d c Q p q E Z 2 Q 5 M y 5 9 5 y Z e 6 + f 8 l B I x 3 k t W A u L S 8 s r x d W 1 9 Y 3 N r e 3 S z m 5 b J H k W s F a Q 8 C T r + p 5 g P I x Z S 4 a S s 2 6 a M S / y O e v 4 4 w s V 7 9 y x T I R J f C U n K e t H 3 i g O h 2 H g S a K a 9 Z t S 2 a k 4 e t n z w D W g D L M a S e k F 1 x g g Q Y A c E R h i S M I c H g Q 9 P b h w k B L X x 5 S 4 j F C o 4 w z 3 W C N t T l m M M j x i x / Q d 0 a 5 n 2 J j 2 y l N o d U C n c H o z U t o 4 J E 1 C e R l h d Z q t 4 7 l 2 V u x v 3 l P t q e 4 2 o b 9 v v C J i J W 6 J / U s 3 y / y v T t U i M c S Z r i G k m l L N q O o C 4 5 L r r q i b 2 1 + q k u S Q E q f w g O I Z 4 U A r Z 3 2 2 t U b o 2 l V v P R 1 / 0 5 m K V f v A 5 O Z 4 V 7 e k A b s / x z k P 2 s c V 9 6 R S b V b L t X M z 6 i L 2 c Y A j m u c p a r h E A y 3 t / Y g n P F t 1 i 1 v C y j 9 T r Y L R 7 O H b s h 4 + A P c 7 j 1 Q = < / l a t e x i t > F < l a t e x i t s h a 1 _ b a s e 6 4 = " h r V 1 Z V U X + / C h L h M b D p q 2 x z r e c Y w = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r I q i M s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 p e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a J z f l i l N 1 z L J n g Z u D C v L V i M s v u E Y f M Q J k C M E Q Q R E W 8 C D p 6 c K F g 4 S 4 H i b E p Y S 4 i T P c o 0 T a j L I Y Z X j E j u g 7 p F 0 3 Z y P a a 0 9 p 1 A G d I u h N S W l j j z Q x 5 a W E 9 W m 2 i W f G W b O / e U + M p 7 7 b m P 5 + 7 h U S q 3 B L 7 F + 6 a e Z / d b o W h Q G O T Q 2 c a k o M o 6 s L c p f M d E X f 3 P 5 S l S K H h D i N + x R P C Q d G O e 2 z b T T S 1 K 5 7 6 5 n 4 m 8 n U r N 4 H e W 6 G d 3 1 L G r D 7 c 5 y z o H 1 Q d Q + r t W a t U j / N R 1 3 E D n a x T / M 8 Q h 0 X a K B l v B / x h G f r 3 B K W t L L P V K u Q a 7 b x b V k P H + t b j 0 8 = < / l a t e x i t > A < l a t e x i t s h a 1 _ b a s e 6 4 = " f p N p 0 q G J L M 9 4 5 + 3 9 c X b G f O c 7 3 8 0 = " > A A A C x H i c j V H L S s N A F D 2 N r / q u u n Q T L I K r k k h R l 6 W C u G z B P q A W S d J p H Z o X m Y l Q i v 6 A W / 0 2 8 Q / 0 L 7 w z T k E t o h O S n D n 3 n j N z 7 / X T k A v p O K 8 F a 2 F x a X m l u L q 2 v r G 5 t V 3 a 2 W 2 L J M 8 C 1 g q S M M m 6 v i d Y y G P W k l y G r J t m z I v 8 k H X 8 8 b m K d + 5 Y J n g S X 8 l J y v q R N 4 r 5 k A e e J K p Z v y m V n Y q j l z 0 P X A P K M K u R l F 5 w j Q E S B M g R g S G G J B z C g 6 C n B x c O U u L 6 m B K X E e I 6 z n C P N d L m l M U o w y N 2 T N 8 R 7 X q G j W m v P I V W B 3 R K S G 9 G S h u H p E k o L y O s T r N 1 P N f O i v 3 N e 6 o 9 1 d 0 m 9 P e N V 0 S s x C 2 x f + l m m f / V q V o k h j j T N X C q K d W M q i 4 w L r n u i r q 5 / a U q S Q 4 p c Q o P K J 4 R D r R y 1 m d b a 4 S u X f X W 0 / E 3 n a l Y t Q 9 M b o 5 3 d U s a s P t z n P O g f V x x T y r V Z r V c q 5 t R F 7 G P A x z R P E 9 R w y U a a G n v R z z h 2 b q w Q k t Y + W e q V T C a P X x b 1 s M H 7 b u P U A = = < / l a t e x i t > B < l a t e x i t s h a 1 _ b a s e 6 4 = " g J + L H Q I o 1 U V B j P Z z C v O r N Z U S u e M = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r I o i s s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 q e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a Z z f l i l N 1 z L J n g Z u D C v L V i M s v u E Y f M Q J k C M E Q Q R E W 8 C D p 6 c K F g 4 S 4 H i b E p Y S 4 i T P c o 0 T a j L I Y Z X j E j u g 7 p F 0 3 Z y P a a 0 9 p 1 A G d I u h N S W l j j z Q x 5 a W E 9 W m 2 i W f G W b O / e U + M p 7 7 b m P 5 + 7 h U S q 3 B L 7 F + 6 a e Z / d b o W h Q G O T Q 2 c a k o M o 6 s L c p f M d E X f 3 P 5 S l S K H h D i N + x R P C Q d G O e 2 z b T T S 1 K 5 7 6 5 n 4 m 8 n U r N 4 H e W 6 G d 3 1 L G r D 7 c 5 y z o H 1 Q d Q + r t W a t U j / J R 1 3 E D n a x T / M 8 Q h 0 X a K B l v B / x h G f r 3 B K W t L L P V K u Q a 7 b x b V k P H / T b j 1 M = < / l a t e x i t > E < l a t e x i t s h a 1 _ b a s e 6 4 = " c t b m L E m Y D U 7 B q Z V I c D 7 i X Z U B Z S 0 = " > A A A C x H i c j V H L S s N A F D 2 N r / q u u n Q T L I K r k k h R l 0 W h u G z B P q A W S d J p D Z 0 8 y E y E U v Q H 3 O q 3 i X + g f + G d c Q p q E Z 2 Q 5 M y 5 9 5 y Z e 6 + f 8 l B I x 3 k t W A u L S 8 s r x d W 1 9 Y 3 N r e 3 S z m 5 b J H k W s F a Q 8 C T r + p 5 g P I x Z S 4 a S s 2 6 a M S / y O e v 4 4 w s V 7 9 y x T I R J f C U n K e t H 3 i g O h 2 H g S a K a 9 Z t S 2 a k 4 e t n z w D W g D L M a S e k F 1 x g g Q Y A c E R h i S M I c H g Q 9 P b h w k B L X x 5 S 4 j F C o 4 w z 3 W C N t T l m M M j x i x / Q d 0 a 5 n 2 J j 2 y l N o d U C n c H o z U t o 4 J E 1 C e R l h d Z q t 4 7 l 2 V u x v 3 l P t q e 4 2 o b 9 v v C J i J W 6 J / U s 3 y / y v T t U i M c S Z r i G k m l L N q O o C 4 5 L r r q i b 2 1 + q k u S Q E q f w g O I Z 4 U A r Z 3 2 2 t U b o 2 l V v P R 1 / 0 5 m K V f v A 5 O Z 4 V 7 e k A b s / x z k P 2 s c V 9 6 R S b V b L t X M z 6 i L 2 c Y A j m u c p a r h E A y 3 t / Y g n P F t 1 i 1 v C y j 9 T r Y L R 7 O H b s h 4 + A P c 7 j 1 Q = < / l a t e x i t > F < l a t e x i t s h a 1 _ b a s e 6 4 = " b n P Y h o G F R h 2 0 g h q b s E o M m t l h 8 / 8 = " > A A A C x H i c j V H L S s N A F D 2 N r / q u u n Q T L I K r k k h R l 8 W C u G z B P q A W S d J p H Z o X m Y l Q i v 6 A W / 0 2 8 Q / 0 L 7 w z T k E t o h O S n D n 3 n j N z 7 / X T k A v p O K 8 F a 2 F x a X m l u L q 2 v r G 5 t V 3 a 2 W 2 L J M 8 C 1 g q S M M m 6 v i d Y y G P W k l y G r J t m z I v 8 k H X 8 c V 3 F O 3 c s E z y J r + Q k Z f 3 I G 8 V 8 y A N P E t W s 3 5 T K T s X R y 5 4 H r g F l m N V I S i + 4 x g A J A u S I w B B D E g 7 h Q d D T g w s H K X F 9 T I n L C H E d Z 7 j H G m l z y m K U 4 R E 7 p u + I d j 3 D x r R X n k K r A z o l p D c j p Y 1 D 0 i S U l x F W p 9 k 6 n m t n x f 7 m P d W e 6 m 4 T + v v G K y J W 4 p b Y v 3 S z z P / q V C 0 S Q 5 z p G j j V l G p G V R c Y l 1 x 3 R d 3 c / l K V J I e U O I U H F M 8 I B 1 o 5 6 7 O t N U L X r n r r 6 f i b z l S s 2 g c m N 8 e 7 u i U N 2 P 0 5 z n n Q P q 6 4 J 5 V q s 1 q u n Z t R F 7 G P A x z R P E 9 R w y U a a G n v R z z h 2 b q w Q k t Y + W e q V T C a P X x b 1 s M H 8 B u P U Q = = < / l a t e x i t > C < l a t e x i t s h a 1 _ b a s e 6 4 = " c R 3 e J 8 y u A R j G j O C N T / 0 e n 2 Y H G A k = " > A A A C x H i c j V H L S s N A F D 2 N r 1 p f V Z d u g k V w V R I p 6 r K o i M s W b C v U I k k 6 r U M n D z I T o R T 9 A b f 6 b e I f 6 F 9 4 Z 0 x B L a I T k p w 5 9 5 4 z c + / 1 E 8 G l c p z X g j U 3 v 7 C 4 V F w u r a y u r W + U N 7 f a M s 7 S g L W C W M T p l e 9 J J n j E W o o r w a 6 S l H m h L 1 j H H 5 3 q e O e O p Z L H 0 a U a J 6 w X e s O I D 3 j g K a K a Z z f l i l N 1 z L J n g Z u D C v L V i M s v u E Y f M Q J k C M E Q Q R E W 8 C D p 6 c K F g 4 S 4 H i b E p Y S 4 i T P c o 0 T a j L I Y Z X j E j u g 7 p F 0 3 Z y P a a 0 9 p 1 A G d I u h N S W l j j z Q x 5 a W E 9 W m 2 i W f G W b O / e U + M p 7 7 b m P 5 + 7 h U S q 3 B L 7 F + 6 a e Z / d b o W h Q G O T Q 2 c a k o M o 6 s L c p f M d E X f 3 P 5 S l S K H h D i N + x R P C Q d G O e 2 z b T T S 1 K 5 7 6 5 n 4 m 8 n U r N 4 H e W 6 G d 3 1 L G r D 7 c 5 y z o H 1 Q d Q + r t W a t U j / J R 1 3 E D n a x T / M 8 Q h 0 X a K B l v B / x h G f r 3 B K W t L L P V K u Q a 7 b x b V k P H / J 7 j 1 I = < / l a t e x i t > D Figure 3: Initial configuration ( = 1), intermediary deformation ( = 1.2) and maximum stretch ( = 1.485). The has been chosen to be 5 ∕8. Figure 4: Another point of view of the maximum stretch configuration ( = 1.485). The angle has been chosen to be 5 ∕8. + + Xuyang Chang, Matthieu Vitse, Stéphane Roux: Preprint submitted to Elsevier + + Page 5 of 8 + + Buckling of a double sector thin elastic plate: Analytical solution + + 3. Mechanical analysis The above analysis of the deformed state has been reduced to a mere geometrical problem, and no mechanical information has been obtained so far. Let us first note that the parameterization with was convenient but difficult to assess experimentally. However, the above description provides easy access to the extension Δ as a function of . It can also be noted that the maximum stretch displacement, Δ is easily obtained from the initial length | | and the maximum one equal to 3 1 , so that the dimensionless ratio Δ ∕Δ will be used in the following to pair with the aforementioned stretching parameter . Figure 5a shows the correspondence between and the elongation during the tensile test, Δ ∕Δ , scaled by the maximum stretch. In terms of elastic energy, the deformed surface consists of four portions of cones with the same semi-angle. The curvature of the cone is proportional to cot( )∕ , where designates the distance to either B or C, for the upper (respectively lower) half of the specimen. The singularity in B or C is susceptible to create either damage or plastic yielding, and hence in practice, drilling a small hole in B and in C will avoid these difficulties and still preserve the validity of the solution. Along the outer edge, the curvature = cot( )∕ is spatially uniform. Its variation with the relative extension in shown in Figure 5b. It allows to construct the total elastic energy as proportionnal to 2 , as shown in Figure 6a. It is to be observed that for a small stretch of the specimen, the curvature behaves as (Δ ) 1∕2 , and hence the elastic energy grows linearly with Δ . Its derivative provides a finite force at vanishing stretch which can be interpreted as a buckling force, , below which the sample remains non-deformed. At maximum stretch, the tensile force diverges, ∝ (Δ − Δ ) −1∕2 . The tensile force versus stretch is shown in Figure 6b. (a) Stretching parameter, = 2 ∕ (b) Curvature Figure 5: (a) Stretching parameter, = 2 ∕ , and (b) curvature, , are shown as a function of the dimensionless ratio Δ ∕Δ + + Xuyang Chang, Matthieu Vitse, Stéphane Roux: Preprint submitted to Elsevier + + Page 6 of 8 + + Buckling of a double sector thin elastic plate: Analytical solution + + (a) Total elastic energy, (b) Tensile force scaled by critical buckling force, ∕ Figure 6: (a) Elastic energy and (b) relative tensile force versus scaled elongation 4. Conclusion This paper has introduced a simple sample planar geometry that buckles into a non-trivial shape in three dimensions and whose evolution under load can be followed analytically up to a maximum elongation. Although the problem was addressed in the framework of linear elasticity, it is worth emphasizing that the deformed geometry would be identical for a wide category of hyper-elastic laws. Indeed, in the deformed geometry all elementary angular sectors (centered either in B or in C) are subjected to the very same deformation as the segment of the cone (with an identical cone semi-angle). Therefore whatever the hyper-elastic law, the elastic energy stored in such sectors is identical. Thus, the relevance of the proposed deformed geometry for a more general constitutive law resumes to its stability, or essentially the convexity of the hyper-elastic law. One may fear that the high (singular) strains expected at the apex of the cones in the deformed geometry (close to either B or C), may induce plastic strain, or even tearing. This is indeed very likely to occur. However, in practice, cutting out two small disks centered in B and C from the sample would limit the most intense stresses, and still preserve the validity of the solution. Thus, the obtained solution appears to be quite robust, even with respect to the constitutive law of the material. As such, it constitutes an interesting benchmark solution for numerical simulations of buckling, challenging large 3D displacements, as well as stereo-vision systems for shape characterization and displacement measurements Strecha, von Hansen, Van Gool, Fua and Thoennessen (2008); Keller, Enzweiler and Gavrila (2011); Hu and Mordohai (2012). For the latter case, an experimental study is underway and will be reported in a forthcoming study. + + Xuyang Chang, Matthieu Vitse, Stéphane Roux: Preprint submitted to Elsevier + + Page 7 of 8 + + Buckling of a double sector thin elastic plate: Analytical solution + +
CRediT authorship contribution statement Xuyang Chang: Conceptualization of this study, Visualization,Writing -Original draft preparation. Matthieu Vitse: Software, Visualization. Stéphane Roux: Conceptualization of this study, Methodology, Writing -Original draft preparation, Supervision.
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