Mathematical analysis of a basic model for epidermal wound healing.

J A Sherratt; J D Murray

doi:10.1007/bf00160468

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Mathematical analysis of a basic model for epidermal wound healing.

J A Sherratt·J D Murray

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Abstract

The stimuli for the increase in epidermal mitosis during wound healing are not fully known. We construct a mathematical model which suggests that biochemical regulation of mitosis is fundamental to the process, and that a single chemical with a simple regulatory effect can account for the healing of circular epidermal wounds. The numerical results of the model compare well with experimental data. We investigate the model analytically by making biologically relevant approximations. We then obtain travelling wave solutions which provide information about the accuracy of these approximations and clarify the roles of the various model parameters.

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Animals Cell Movement Epidermal Growth Factor Growth Inhibitors Mathematics Mitosis Models, Biological Skin Wound Healing Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

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J A Sherratt, J D Murray. 1991. Mathematical analysis of a basic model for epidermal wound healing.. https://doi.org/10.1007/bf00160468

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