Parametric pattern selection in a reaction-diffusion model


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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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.
Publication ISSN: 1932-6203
Last Modified: 05 Jan 2024 08:17
Date Deposited: 16 Nov 2015 10:40
Full Text Link: http://journals ... al.pone.0077337
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PURE Output Type: Article
Published Date: 2013-10-29
Authors: Stich, Michael (ORCID Profile 0000-0001-8862-1044)
Ghoshal, Gourab
Perez-Mercader, Juan



Version: Published Version

License: Creative Commons Attribution


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