{"page":"\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" /\u003e\n\u003clink rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" /\u003e\n\u003cdiv data-title='Can Math Explain How Animals Get Their Patterns?' data-url='/boclips/videos/625f6233b310026c2c6596a4' data-video-url='/boclips/videos/625f6233b310026c2c6596a4' id='bo_player_modal'\u003e\n\u003cdiv class='boclips-resource-page modal-dialog panel-container'\u003e\n\u003cdiv class='react-notifications-root'\u003e\u003c/div\u003e\n\u003cdiv class='rp-header'\u003e\n\u003cdiv class='rp-type'\u003e\n\u003ci aria-hidden='true' class='fai fa-regular fa-circle-play'\u003e\u003c/i\u003e\nVideo\n\u003c/div\u003e\n\u003ch1 class='rp-title' id='video-title'\u003e\nCan Math Explain How Animals Get Their Patterns?\n\u003c/h1\u003e\n\u003cdiv class='rp-actions'\u003e\n\u003cdiv class='mr-1'\u003e\n\u003ca class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"\u003e\u003cspan\u003e\u003cspan\u003eGet Free Access\u003c/span\u003e\u003cspan class=\"\"\u003e for 10 Days\u003c/span\u003e\u003cspan\u003e!\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-body'\u003e\n\u003cdiv class='rp-info'\u003e\n\u003cdiv aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'\u003e\u0026times;\u003c/div\u003e\n\u003ci aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003ci aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'\u003e\u003c/i\u003e\n\u003cdiv class='rp-rating'\u003e\n\u003cspan class='resource-pool'\u003e\n\u003cspan class='pool-label'\u003ePublisher:\u003c/span\u003e\n\u003cspan class='pool-name'\u003e\n\u003cspan class='text'\u003e\u003ca data-publisher-id=\"30358007\" href=\"/search?publisher_ids%5B%5D=30358007\"\u003eMinuteEarth\u003c/a\u003e\u003c/span\u003e\n\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='rp-description'\u003e\n\u003cspan class='short-description'\u003eHow Alan Turing's Reaction-Diffusion Model Simulates Patterns in Nature Thanks to for sponsoring this video. Asparagus Pee Survey Results ___________________________________________ If you liked this video, we think you might also like...\u003c/span\u003e\n\u003cspan class='full-description hide'\u003eHow Alan Turing's Reaction-Diffusion Model Simulates Patterns in Nature Thanks \u003ca href='http://www.audible.com/minuteearth' target='_blank' rel='nofollow'\u003eto\u003c/a\u003e for sponsoring this video. Asparagus Pee Survey \u003ca href='https://goo.gl/8x7abL' target='_blank' rel='nofollow'\u003eResults\u003c/a\u003e ___________________________________________ If you liked this video, we think you might also like this: Reaction Diffusion Simulation (Gray-Scott \u003ca href='https://pmneila.github.io/jsexp/grayscott/' target='_blank' rel='nofollow'\u003emodel)\u003c/a\u003e ___________________________________________ Credits (and Twitter handles): Script Writer: Rachel Becker (@RA_Becks) Script Editor: Emily Elert (@eelert) Video Illustrator: Ever Salazar (@eversalazar) Video Director: Emily Elert (@eelert) Video Narrator: Emily Elert (@eelert) With Contributions From: Henry Reich, Alex Reich, Kate Yoshida, Omkar Bhagat, Peter Reich, David Goldenberg Music by: Nathaniel \u003ca href='http://www.soundcloud.com/drschroeder' target='_blank' rel='nofollow'\u003eSchroeder\u003c/a\u003e Also, special thanks to the following scientists: Greg Barsh: Investigator, HudsonAlpha Institute for \u003ca href='http://goo.gl/RMD8o9)' target='_blank' rel='nofollow'\u003eBiotechnology (\u003c/a\u003e Jeremy Green: Professor of developmental biology, King’s College \u003ca href='https://goo.gl/Qcn8Ay)' target='_blank' rel='nofollow'\u003eLondon (\u003c/a\u003e Thomas Hiscock: Graduate student in systems biology, Harvard \u003ca href='http://goo.gl/RbAWIy)' target='_blank' rel='nofollow'\u003eUniversity (\u003c/a\u003e Shigeru Kondo: Professor, Osaka \u003ca href='http://goo.gl/uQ2wYO)' target='_blank' rel='nofollow'\u003eUniversity (\u003c/a\u003e James Sharpe: Coordinator of EMBL-CRG Systems Biology Unit and ICREA research \u003ca href='http://goo.gl/QCGul8)' target='_blank' rel='nofollow'\u003eprofessor (\u003c/a\u003e Ian Stewart: Emeritus professor of mathematics, University of Warwick and author of The Mathematics of \u003ca href='http://goo.gl/rGR1R0)' target='_blank' rel='nofollow'\u003eLife (\u003c/a\u003e Thomas Woolley: Postdoctoral scientist, St John's College \u003ca href='http://goo.gl/B4FZNn)' target='_blank' rel='nofollow'\u003eOxford (\u003c/a\u003e Image Credits: - Mouse palate images provided courtesy of Jeremy Green, King’s College London. - Digit patterns image provided courtesy of Luciano Marcon and Jelena Raspopovic. - Angelfish and zebrafish images provided courtesy of Shigeru Kondo. _________________________________________ Subscribe to MinuteEarth on \u003ca href='http://goo.gl/EpIDGd' target='_blank' rel='nofollow'\u003eYouTube\u003c/a\u003e Support us on \u003ca href='https://goo.gl/ZVgLQZ' target='_blank' rel='nofollow'\u003ePatreon\u003c/a\u003e \u003ca href='http://goo.gl/FpAvo6' target='_blank' rel='nofollow'\u003eFacebook\u003c/a\u003e \u003ca href='http://goo.gl/Y1aWVC' target='_blank' rel='nofollow'\u003eTwitter\u003c/a\u003e \u003ca href='https://goo.gl/sfwS6n' target='_blank' rel='nofollow'\u003eitunes\u003c/a\u003e ___________________________________________ Here are some handy keywords to get your googling started: Reaction-diffusion system: A hypothetical system in which multiple chemical substances diffuse through a defined space at different rates and react with one another, thereby generating a pattern. Turing pattern: A periodic pattern that forms in a space where the initial distribution of ‘activator’ and ‘inhibitor’ is the same. Morphogenesis: The processes during development that give rise to the form or shape of the organism or a structure Alan Turing: Alan Turing was a British mathematician and the father of modern computer science. During World War II, he broke Germany’s Enigma code used to encrypt communications. ____________________ References: Economou, A. D., Ohazama, A., Porntaveetus, T., Sharpe, P. T., Kondo, S., Basson, M. A., … Green, J. B. A. (2012). Periodic stripe formation by a Turing-mechanism operating at growth zones in the mammalian palate. Nature Genetics, 44(3), 348–\u003ca href='http://doi.org/10.1038/ng.1090' target='_blank' rel='nofollow'\u003e351.\u003c/a\u003e Economou, A. D., \u0026 Green, J. B. (2014). Modelling from the experimental developmental biologists viewpoint. Seminars in Cell \u0026 Developmental Biology, 35, 58-65. doi:10.1016/j.semcdb.2014.07.006 Green, J. B., \u0026 Sharpe, J. (2015). Positional information and reaction-diffusion: Two big ideas in developmental biology combine.Development, 142(7), 1203-1211. doi:10.1242/dev.114991 Kimura, Y. T. (2016, May 24). The mathematics of patterns. Retrieved \u003ca href='http://www.theshapeofmath.com/princeton/dynsys' target='_blank' rel='nofollow'\u003efrom\u003c/a\u003e Kimura, Y. T. (2014). The Mathematics of Patterns: The modeling and analysis of reaction-diffusion equations (Thesis, Princeton University). Http://www.pacm.princeton.edu/documents/Kimura.pdf. Kondo, S., \u0026 Asai, R. (1995). A reaction-diffusion wave on the skin of the marine angelfish Pomacanthus. Nature, 376(6543), 765-768. doi:10.1038/376765a0 Kondo, S., \u0026 Miura, T. (2010). Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation. Science, 329(5999), 1616-1620. doi:10.1126/science.1179047 Marcon, L., \u0026 Sharpe, J. (2012). Turing patterns in development: What about the horse part? Current Opinion in Genetics \u0026 Development, 22(6), 578-584. doi:10.1016/j.gde.2012.11.013 Raspopovic, J., Marcon, L., Russo, L., \u0026 Sharpe, J. (2014). Digit patterning is controlled by a Bmp-Sox9-Wnt Turing network modulated by morphogen gradients. Science, 345(6196), 566-570. doi:10.1126/science.1252960 Stewart, I. (2012). The mathematics of life. Philadelphia, PA: Basic \u003ca href='https://goo.gl/IOagrs)' target='_blank' rel='nofollow'\u003eBooks. (\u003c/a\u003e Turing, A. M. (1952). The Chemical Basis of Morphogenesis. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, 237(641), 37-72. 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