View source for Modeling: Pattern formation using Reaction-Diffusion models

'''Background''': One of the most amazing properties of biological systems is their ability to form complex and organized structures. Those structures range from simple patterns (like the stripes of a zebra) to highly complex constructs (like a cell). How such structures or patterns can emerge by themselves remains a largely unsolved problem. In this project, we investigate how a simple pattern can emerge in a decentralized manner, without any plan.  

'''Goal''': The goal of the project is to understand and analyze (with computer simulations) one of the simplest and most influential pattern formation mechanism using Reaction-Diffusion models.

'''Mathematical tools''': This project uses partial differential equations. A short introduction to partial differential equations will be provided. A mathematical software for performing simulations (matlab) will also be used.

'''Biological or Medical aspects''': It will be investigated to which extend this model can explain the patterns observed on animals such as leopards or zebras.

'''Supervisor''': [[User:Micha|Micha Hersch]]

'''Presentation''': [[Media:Micha.ppt]]

'''Students''': Christophe Seppey and Balazs Laurenczy

'''References''':

[http://links.jstor.org/sici?sici=0080-4622%2819520814%29237%3A641%3C37%3ATCBOM%3E2.0.CO%3B2-I The pioneering paper from Alan Turing]
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# turing53chemical pmid=2185858   [http://links.jstor.org/sici?sici=0080-4622%2819520814%29237%3A641%3C37%3ATCBOM%3E2.0.CO%3B2-I pdf file]
</biblio>





== Mathematical background ==

See the [[Introduction to dynamical systems and differential equations]]

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(Project in [[Course: "Solving Biological Problems that require Math"]])