Parametric pattern selection in a reaction-diffusion model.
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ABSTRACT:
SUBMITTER: Stich M
PROVIDER: S-EPMC3812206 | biostudies-literature | 2013
REPOSITORIES: biostudies-literature
Publications
Parametric pattern selection in a reaction-diffusion model.
Stich Michael M Ghoshal Gourab G Pérez-Mercader Juan J
PloS one 20131029 10
We compare spot patterns generated by Turing mechanisms with those generated by replication cascades, in a model one-dimensional reaction-diffusion system. We determine the stability region of spot solutions in parameter space as a function of a natural control parameter (feed-rate) where degenerate patterns with different numbers of spots coexist for a fixed feed-rate. While it is possible to generate identical patterns via both mechanisms, we show that replication cascades lead to a wider choi ...[more]
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