Mathematical analysis of a basic model for epidermal wound healing.
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.
Sherratt
J A
JA
Centre for Mathematical Biology, Mathematical Institute, Oxford, UK.
Murray
J D
JD
D000818:Animals; D002465:Cell Movement; D004815:Epidermal Growth Factor / Q000502:physiology; D006131:Growth Inhibitors / Q000502:physiology; D008433:Mathematics; D008938:Mitosis; D008954:Models, Biological; D012867:Skin / Q000293:injuries* / Q000473:pathology / Q000503:physiopathology; D014945:Wound Healing / Q000502:physiology*
D006131:Growth Inhibitors; D004815:Epidermal Growth Factor