title: Domain nucleation and confinement in agent-controlled bistable systems.
abstract: We report a mechanism of pattern formation in growing bistable systems coupled indirectly. A modified Fujita et al. model is studied as an example of a reaction-diffusion system of nondiffusive activator and inhibitor molecules immersed in the medium of a fast diffusive agent. Here we show that, as the system grows, a new domain nucleates spontaneously in the area where the local level of the agent becomes critical. Newly nucleated domains are stable and the pattern formation is different from Turing's mechanism in monostable systems. Domains are spatially confined by the agent even if the activator and inhibitor molecules diffuse. With the spatial extension of the system, a larger domain may undergo a wave number instability, and the concentrations of active molecules within the neighboring elements of a domain can become sharply different. The mechanism reported in this work could be generic for pattern formation systems involving multistability, growth, and indirect coupling.
authors: The Institute of Physics and Technology, Mongolian Academy of Sciences, Ulaanbaatar 51, Mongolia and Department of Biological Sciences, Virginia Polytechnic and State University, Blacksburg, Virginia 24061, USA.
authors: Dorjsuren
authors: D
authors: Battogtokh
mesh_terms: D004058:Diffusion; D008962:Models, Theoretical; D013997:Time Factors