Parametric Pattern Selection in a Reaction-Diffusion Model
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CitationStich, Michael, Gourab Ghoshal, and Juan Pérez-Mercader. 2013. “Parametric Pattern Selection in a Reaction-Diffusion Model.” PLoS ONE 8 (10): e77337. doi:10.1371/journal.pone.0077337. http://dx.doi.org/10.1371/journal.pone.0077337.
AbstractWe 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.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:11879051
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