Journal of Mathematical Biology

, Volume 29, Issue 5, pp 389–404

Mathematical analysis of a basic model for epidermal wound healing

Authors

  • J. A. Sherratt
    • Centre for Mathematical BiologyMathematical Institute
    • Department of Applied Mathematics FS-20University of Washington
  • J. D. Murray
    • Centre for Mathematical BiologyMathematical Institute
    • Department of Applied Mathematics FS-20University of Washington
Article

DOI: 10.1007/BF00160468

Cite this article as:
Sherratt, J.A. & Murray, J.D. J. Math. Biol. (1991) 29: 389. doi:10.1007/BF00160468
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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.

Key words

Wound healingMathematical modelsTravelling waves
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Copyright information

© Springer-Verlag 1991