A stochastic model for wound healing

Details A stochastic model for wound healing A stochastic model for wound healing

2005-07-22

arxiv.org/abs/q-bio/0507035v1

Biology

Quantitative Biology

Cell Behavior

16 pages, 7 figures

Scientific paper

10.1007/s10955-006-9022-1

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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