A selection criterion for patterns in reaction-diffusion systems.

ABSTRACT:

Background

Alan Turing's work in Morphogenesis has received wide attention during the past 60 years. The central idea behind his theory is that two chemically interacting diffusible substances are able to generate stable spatial patterns, provided certain conditions are met. Ever since, extensive work on several kinds of pattern-generating reaction diffusion systems has been done. Nevertheless, prediction of specific patterns is far from being straightforward, and a great deal of interest in deciphering how to generate specific patterns under controlled conditions prevails.

Results

Techniques allowing one to predict what kind of spatial structure will emerge from reaction-diffusion systems remain unknown. In response to this need, we consider a generalized reaction diffusion

SUBMITTER: Marquez-Lago TT 

PROVIDER: S-EPMC3925790 | biostudies-literature | 2014 Jan

REPOSITORIES: biostudies-literature