title: Dissipative pattern formation in ternary non-linear reaction-electrodiffusion systems with concentration-dependent diffusivities.
abstract: Conditions for the emergence of ionic dissipative structures after Turing instability of a spatially and temporaly homogeneous stationary concentration distribution are derived for electroneutral ternary ionic reaction systems with concentration-dependent diffusivities. The inhomogeneous solution branch first bifurcating while crossing a critical ratio of diffusivities is given as a series of eigenfunctions of the Laplace operator. The results are specified for a model reaction system and polynomial concentration dependence of diffusion. It is shown that the inclusion of concentration dependence controls the amplitudes of the spatial distribution.
authors.affiliation: Department of Biophysics, Faculty of Science, Kyoto University, Japan.
authors.forename: H
authors.initials: H
authors.lastname: Malchow
mesh_terms: D000818:Animals; D004058:Diffusion; D007477:Ions; D007700:Kinetics; D008956:Models, Chemical
chemical_list: D007477:Ions