Parametric pattern selection in a reaction-diffusion model

Michael Stich, Gourab Ghoshal, Juan Perez-Mercader

Research output: Contribution to journalArticle

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.
Original languageEnglish
Article numbere77337
Number of pages6
JournalPLoS ONE
Volume8
DOIs
Publication statusPublished - 29 Oct 2013

Bibliographical note

© 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.

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