A Stochastic Model for Wound Healing

被引:0
作者
Thomas Callaghan
Evgeniy Khain
Leonard M. Sander
Robert M. Ziff
机构
[1] Georgia Institute of Technology,School of Mathematics
[2] Michigan Center for Theoretical Physics,Department of Physics
[3] University of Michigan,Department of Chemical Engineering
[4] University of Michigan,undefined
来源
Journal of Statistical Physics | 2006年 / 122卷
关键词
front propagation; wound healing; stochastic modeling; Fisher-Kolmogorov equation;
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中图分类号
学科分类号
摘要
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 ≈ 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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页码:909 / 924
页数:15
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