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arXiv · 0904.1627

Ratio control in a cascade model of cell differentiation

Hidetsugu Sakaguchi
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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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Hidetsugu Sakaguchi. 2009-04-10. Ratio control in a cascade model of cell differentiation. https://doi.org/10.1103/physreve.79.051916

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