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arXiv · 1310.2898

Parametric pattern selection in a reaction-diffusion model

Michael Stich·Gourab Ghoshal·Juan Pérez-Mercader
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Abstract

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 choice of pattern profiles that can be selected through a tuning of the feed-rate, exploiting hysteresis and directionality effects of the different pattern pathways.

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Michael Stich, Gourab Ghoshal, Juan Pérez-Mercader. 2013-10-10. Parametric pattern selection in a reaction-diffusion model. https://doi.org/10.1371/journal.pone.0077337

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