Document Type

Article

Publication Date

11-2006

DOI

10.1016/j.mcm.2006.02.017

Publication Title

Mathematical and Computer Modelling

Volume

44

Issue

9-10

Pages

887-898

Abstract

A mathematical model is developed for the rate of healing of a circular or elliptic wound. In this paper the regeneration, decay and transport of a generic 'growth factor', which induces the healing of the wound, is taken into account. Further, an equation of motion is derived for radial healing of a circular wound. The expressions for the equation of motion and the distribution of the growth factor are related in such a way that no healing occurs if the growth factor concentration at the wound edge is below a threshold value. In this paper we investigate the influence of the behaviour of the thickness of the active layer, in which the growth factor is produced, on the healing process. Also a correction is made to a result in earlier work. © 2006 Elsevier Ltd. All rights reserved.

Comments

Elsevier open archive. © 2006 Elsevier Ltd. All rights reserved.

Original Publication Citation

Vermolen, F. J., van Baaren, E., & Adam, J. A. (2006). A simplified model for growth factor induced healing of wounds. Mathematical and Computer Modelling, 44(9-10), 887-898. doi:10.1016/j.mcm.2006.02.017

ORCID

0000-0001-5537-2889 (Adam)

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