SPATIALLY INHOMOGENEOUS STATIONARY FORMS IN KINETIC SYSTEMS WITH REACTIONS AND DIFFUSION - POSITIONAL DIFFERENTIATION

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  • 1 January 1979
    • journal article
    • research article
    • Vol. 24  (1) , 117-123
Abstract
Spatial ordering and positional differentiation in the development of multicellular organisms are investigated. Local dynamics are not specified due to insufficient information about the mechanisms of biosynthesis regulation in multicellular organisms. The dynamics of intercellular processes indicate the existence of 2 stable stationary states. These stable regimes are interpreted as the differentiations of individual cells and are accepted as the boundary conditions in the form of non-zero morphogen fluxes. The stability requirement of the exfoliated structure at the multicellular level links some physico-chemical parameters of the system (the permeability of the boundaries, characteristic time of intercellular dynamics, the diffusion coefficient of morphogen and some others) of variable importance. This dynamic model of morphogenesis in the regulation of development is discussed.

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