KidzTube
Welcome
Login / Register

Can Math Explain How Animals Get Their Patterns?

Featured

Thanks! Share it with your friends!

URL

You disliked this video. Thanks for the feedback!

Sorry, only registred users can create playlists.
URL


 Math
 Find Related Videos  added
257 Views

Description

How Alan Turing's Reaction-Diffusion Model Simulates Patterns in Nature
Thanks to http://www.audible.com/minuteearth for sponsoring this video.
Asparagus Pee Survey Results: https://goo.gl/8x7abL

___________________________________________

If you liked this video, we think you might also like this:

Reaction Diffusion Simulation (Gray-Scott model)
https://pmneila.github.io/jsexp/grayscott/

___________________________________________

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 Schroeder: http://www.soundcloud.com/drschroeder

Also, special thanks to the following scientists:
Greg Barsh: Investigator, HudsonAlpha Institute for Biotechnology (http://goo.gl/RMD8o9)
Jeremy Green: Professor of developmental biology, King’s College London (https://goo.gl/Qcn8Ay)
Thomas Hiscock: Graduate student in systems biology, Harvard University (http://goo.gl/RbAWIy)
Shigeru Kondo: Professor, Osaka University (http://goo.gl/uQ2wYO)
James Sharpe: Coordinator of EMBL-CRG Systems Biology Unit and ICREA research professor (http://goo.gl/QCGul8)
Ian Stewart: Emeritus professor of mathematics, University of Warwick and author of The Mathematics of Life (http://goo.gl/rGR1R0)
Thomas Woolley: Postdoctoral scientist, St John's College Oxford (http://goo.gl/B4FZNn)

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 YouTube: http://goo.gl/EpIDGd
Support us on Patreon: https://goo.gl/ZVgLQZ
Facebook: http://goo.gl/FpAvo6
Twitter: http://goo.gl/Y1aWVC
itunes: https://goo.gl/sfwS6n

___________________________________________

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), 348–351. http://doi.org/10.1038/ng.1090

Economou, A. D., & Green, J. B. (2014). Modelling from the experimental developmental biologists viewpoint. Seminars in Cell & Developmental Biology, 35, 58-65. doi:10.1016/j.semcdb.2014.07.006

Green, J. B., & 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 from http://www.theshapeofmath.com/princeton/dynsys

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., & 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., & 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., & Sharpe, J. (2012). Turing patterns in development: What about the horse part? Current Opinion in Genetics & Development, 22(6), 578-584. doi:10.1016/j.gde.2012.11.013

Raspopovic, J., Marcon, L., Russo, L., & 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 Books. (https://goo.gl/IOagrs)

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. Retrieved from http://www.dna.caltech.edu/courses/cs191/paperscs191/turing.pdf

Post your comment

Comments

Be the first to comment






RSS