Pattern selection in reaction diffusion systems.

摘要: Turing's theory of pattern formation has been used to describe the self-organized periodic patterns in many biological, chemical, and physical systems. However, use such models is hindered by our inability predict, general, which obtained from a given set model parameters. While much known near onset spatial instability, mechanisms underlying selection dynamics away are less understood. Here, we provide insight into these We find that peaks Turing behave as point sinks, determined diffusive fluxes them. As result, move toward steady-state configuration minimizes mass species. also show preferred number at final steady state this minimized. Our work presents minimization potential general principle for understanding reaction diffusion systems far onset.