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A stochastic model for wound healing | Thomas Callaghan
; Evgeniy Khain
; Leonard M. Sander
; Robert M. Ziff
; | Date: |
22 Jul 2005 | Subject: | Cell Behavior | q-bio.CB | 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. | Source: | arXiv, q-bio.CB/0507035 | Services: | Forum | Review | PDF | Favorites |
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