2005/07/22 by Thomas Callaghan, Evgeniy Khain, Leonard M. Sander +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · #q-bio.CB
paper · pdf · doi:10.1007/s10955-006-9022-1
16 pages, 7 figures
arxiv created 2005/07/22 · arxiv updated 2009/12/01
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.