Parametric pattern selection in a reaction-diffusion model

Stich, Michael, Ghoshal, Gourab and Perez-Mercader, Juan (2013). Parametric pattern selection in a reaction-diffusion model. PLoS ONE, 8 ,

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.

Publication DOI: https://doi.org/10.1371/journal.pone.0077337
Divisions: Engineering & Applied Sciences > Mathematics
Additional Information: © 2013 Stich et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Full Text Link: http://journals ... al.pone.0077337
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Published Date: 2013-10-29
Authors: Stich, Michael ( 0000-0001-8862-1044)
Ghoshal, Gourab
Perez-Mercader, Juan

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License: Creative Commons Attribution


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