The Mathematical Institute, University of Oxford, Eprints Archive

Analysis of travelling waves associated with the modelling of aerosolised skin grafts

Denman, P. K. and McElwain, D. L. S. and Norbury, John (2006) Analysis of travelling waves associated with the modelling of aerosolised skin grafts. Bulletin of Mathematical Biology . (In Press)

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Official URL: http://dx.doi.org/10.1007/s11538-006-9138-0

Abstract

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.

Item Type:Article
Subjects:O - Z > Partial differential equations
A - C > Biology and other natural sciences
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:310
Deposited By:Gareth Wyn Jones
Deposited On:03 Nov 2006
Last Modified:20 Jul 2009 14:20

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