Analysis of travelling waves associated with the modelling of aerosolised skin grafts.
A previous model developed by the authors investigates the growth patterns of keratinocyte cell colonies after they have been applied to a burn site using a spray technique. In this paper, we investigate a simplified one-dimensional version of the model. This model yields travelling wave solutions and we analyse the behaviour of the travelling waves. Approximations for the rate of healing and maximum values for both the active healing and the healed cell densities are obtained.
Denman
Paula K
PK
School of Mathematical Sciences, Queensland University of Technology, G.P.O. Box 2434, Brisbane 4001, Australia. p.denman@qut.edu.au
McElwain
D L Sean
DL
Norbury
John
J
D000336:Aerosols; D002056:Burns / Q000628:therapy*; D017690:Cell Transplantation / Q000379:methods; D006801:Humans; D015603:Keratinocytes / Q000502:physiology / Q000637:transplantation*; D008954:Models, Biological; D016038:Skin Transplantation / Q000379:methods*; D014945:Wound Healing / Q000502:physiology*
D000336:Aerosols