Dale, P. D. and Sherratt, J. A. and Maini, P. K. (1994) The speed of corneal epithelial wound healing. Applied Mathematics Letters, 7 (2). pp. 11-14.
We propose a reaction-diffusion model of the mechanisms involved in the healing of corneal surface wounds. The model focuses on the stimulus for increased mitotic and migratory activity, specifically the role of epidermal growth factor. We determine an analytic approximation for the speed of travelling wave solutions of the model and verify the result numerically. The predicted speed compares very well with experimentally measured healing rates.
|Uncontrolled Keywords:||Travelling waves; Epidermal growth factor; Reaction diffusion; Mitosis migration|
|Subjects:||A - C > Biology and other natural sciences|
|Research Groups:||Centre for Mathematical Biology|
|Deposited By:||Philip Maini|
|Deposited On:||12 Dec 2006|
|Last Modified:||20 Jul 2009 14:21|
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