Difference between revisions of "Modeling: Pattern formation using Reaction-Diffusion models"
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'''Supervisor''': [[Micha Hersch]] | '''Supervisor''': [[Micha Hersch]] | ||
| + | '''References''': PMID: 2185858 Alan M. Turing, "The chemical basis of morphogenesis", | ||
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| + | <biblio> | ||
| + | # turing53chemical pmid=2185858 | ||
| + | </biblio> | ||
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(Project in [[Course: "Solving Biological Problems that require Math"]]) | (Project in [[Course: "Solving Biological Problems that require Math"]]) | ||
Revision as of 11:56, 16 February 2009
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: Micha Hersch
References: PMID: 2185858 Alan M. Turing, "The chemical basis of morphogenesis",
<biblio>
- turing53chemical pmid=2185858
</biblio>
(Project in Course: "Solving Biological Problems that require Math")
