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A stochastic model for wound healing

Thomas Callaghan·Evgeniy Khain·Leonard M. Sander·Robert M. Ziff
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Abstract

We present a discrete stochastic model which represents many of the salient features of the biological process of wound healing. The model describes fronts of cells invading a wound. We have numerical results in one and two dimensions. In one dimension we can give analytic results for the front speed as a power series expansion in a parameter, p, that gives the relative size of proliferation and diffusion processes for the invading cells. In two dimensions the model becomes the Eden model for p near 1. In both one and two dimensions for small p, front propagation for this model should approach that of the Fisher-Kolmogorov equation. However, as in other cases, this discrete model approaches Fisher-Kolmogorov behavior slowly.

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Thomas Callaghan, Evgeniy Khain, Leonard M. Sander, Robert M. Ziff. 2005-07-22. A stochastic model for wound healing. https://doi.org/10.1007/s10955-006-9022-1

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