Journal of Mathematical Biology

, Volume 29, Issue 5, pp 389–404 | Cite as

Mathematical analysis of a basic model for epidermal wound healing

  • J. A. Sherratt
  • J. D. Murray
Article

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.

Key words

Wound healing Mathematical models Travelling waves 

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • J. A. Sherratt
    • 1
    • 2
  • J. D. Murray
    • 1
    • 2
  1. 1.Centre for Mathematical BiologyMathematical InstituteOxfordUK
  2. 2.Department of Applied Mathematics FS-20University of WashingtonSeattleUSA

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