title: A generalized reaction diffusion model for spatial structure formed by motile cells.
abstract: A non-linear stability analysis using a multi-scale perturbation procedure is carried out on a model of a generalized reaction diffusion mechanism which involves only a single equation but which nevertheless exhibits bifurcation to non-uniform states. The patterns generated by this model by variation in a parameter related to the scalar dimensions of domain of definition, indicate its capacity to represent certain key morphogenetic features of multicellular systems formed by motile cells.
mesh_terms: D000818:Animals; D002454:Cell Differentiation; D002465:Cell Movement; D004058:Diffusion; D006801:Humans; D007700:Kinetics; D008954:Models, Biological