The Mathematical Institute, University of Oxford, Eprints Archive

Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism

Gaffney, E. A. and Maini, P. K. and McCaig, C. D. and Zhao, M. and Forrester, J. V. (1999) Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism. IMA Journal of Mathematics Applied in Medicine and Biology, 16 (4). pp. 369-393.

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Abstract

A new framework for the modelling of corneal epithelial wound healing is presented, which can include the presence of a physiological electric field. The difficulty inherent in the inclusion of this biological phenomenon motivates our use of a moving boundary formalism. A key conclusion is that the model predicts a linear relation between the wound healing speed and the physiological electric field strengths over a physiologically large range of electric field strength. Another key point is that this linear relationship between electric field strength and wound healing speed is robust to variations in critical parameters that are difficult to estimate. The linearity is also robust to different realizations of the modelling framework presented.

Item Type:Article
Uncontrolled Keywords:moving boundaries • corneal epithelial wound healing
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:424
Deposited By:Philip Maini
Deposited On:23 Nov 2006
Last Modified:20 Jul 2009 14:21

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