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Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains

Abstract:

By using asymptotic theory, we generalise the Turing diffusively-driven instability conditions for reaction-diffusion systems with slow, isotropic domain growth. There are two fundamental biological differences between the Turing conditions on fixed and growing domains, namely: (i) we need not enforce cross nor pure kinetic conditions and (ii) the restriction to activator-inhibitor kinetics to induce pattern formation on a growing biological system is no longer a requirement. Our theoretical ...

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Publication date:
2010-01-01
URN:
uuid:b50107fd-f13b-4569-9e20-61af3a4e3de7
Local pid:
oai:eprints.maths.ox.ac.uk:922

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