title: [Stability of spatially-nonhomogeneous stationary conditions of a diffuse system. Positional differentiation].
abstract: The results of general investigation presented at the previous paper [9] are applied to interpreting the spatial ordering upon positional differentiation at the development of multicellular organisms. The very form of local dynamics is not specified for the lack of sufficient information about the mechanisms of biosynthesis regulation in multicellular organisms. Instead of the dynamics of intercellular processes is supposed to provide the existence of two stable stationary states. These stable regimes are interpreted as the different specialisations of individual cell (differentiations). There are accepted the boundary conditions in the form of non-zero morphogen fluxes. The requirement of stability of the exfoliated structure at the multicellular ensemble connects some physical chemical parameters of the system (the permeability of the boundaries, characteristic time of intercellular dynamics, the diffusion coefficient of morphogen and some others) in the form of inequality. Within the framework of dynamical model the ability of morphogenetic system to the regulative development is discussed.
mesh_terms: D002450:Cell Communication; D002454:Cell Differentiation; D008433:Mathematics; D008954:Models, Biological; D009024:Morphogenesis
vernacular_title: Ustoĭchivost' prostranstvenno-neodnorodnykh statsionarnykh sostoianiĭ raspredelennoĭ sistemy, Pozitsionnaia differentsirovka.