Ratio control in a cascade model of cell differentiation

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    2 Citations (Scopus)


    We propose a kind of reaction-diffusion equations for cell differentiation, which exhibits the Turing instability. If the diffusivity of some variables is set to be infinity, we get coupled competitive reaction-diffusion equations with a global feedback term. The size ratio of each cell type is controlled by a system parameter in the model. Finally, we extend the model to a cascade model of cell differentiation. A hierarchical spatial structure appears as a result of the cell differentiation. The size ratio of each cell type is also controlled by the system parameter.

    Original languageEnglish
    Article number051916
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Issue number5
    Publication statusPublished - May 19 2009

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics


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