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Ratio control in a cascade model of cell differentiation
Phys. Rev. E 79, 051916 – Published 19 May, 2009
DOI: https://doi.org/10.1103/PhysRevE.79.051916
Abstract
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.
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