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Stochastic reaction & diffusion on growing domains: understanding the breakdown of robust pattern formation

Abstract:

Many biological patterns, from population densities to animal coat markings, can be thought of as heterogeneous spatiotemporal distributions of mobile agents. Many mathematical models have been proposed to account for the emergence of this complexity, but, in general, they have consisted of deterministic systems of differential equations, which do not take into account the stochastic nature of population interactions. One particular, pertinent criticism of these deterministic systems is that ...

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Publication date:
2011-01-01
URN:
uuid:d2483070-fff9-43cc-9775-523c56552175
Local pid:
oai:eprints.maths.ox.ac.uk:1409

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