Spatial-temporal dissipative structures arising in open reactive systems with a negative feedback loop.

Abstract

A systematic way of finding the possible spatial-temporal structures that may emerge in open reactive systems coupled with diffusive transport and containing one inhibitory (negative feedback) loop is presented. The method is illustrated on two kinetic models, one used by L. Glass, another by Higgins et al. which we coupled with diffusion. The ranges of cooperativity index and Fick transport coefficients we find for the occurrence of a spatially non-uniform time periodicity are consistent with in vitro experiments.