A mathematical model of wound healing and subsequent scarring

McElwain, Sean, Cumming, Benjamin Donald, & Upton, Zee (2009) A mathematical model of wound healing and subsequent scarring. Journal of The Royal Society : Interface, 7(42), pp. 19-24.

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Wound healing is a complex process involving the delicate interaction between elements that vary widely in nature and size scales, from the nanometre level, such as molecules, to cells measured in micrometres, and fibres with width and length measured on both scales. Hybrid approaches, where each species is represented by a model on an appropriate size scale, have received attention recently. In this study, we provide a review of earlier work on such hybrid models of wound healing. General models for each of the element types involved in dermal wound healing used in this research are described: cells, modelled as discrete individuals; chemicals, modelled as continua; and fibres, modelled with a novel tensorial representation. Techniques for integrating such disparate models are outlined. A six-species model (fibrin, collagen, macrophages, fibroblasts, transforming growth factor-β (TGF-β) and tissue plasminogen activator) of dermal wound healing is presented. The role of the cytokine TGF-β in the healing cascade is investigated using the model, along with its role in the degree of scarring in the healed tissue.

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27 citations in Scopus
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29 citations in Web of Science®

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ID Code: 19651
Item Type: Journal Article
Refereed: Yes
Additional Information: Where there is no recognised public domain database please contact the Society's publishing team for guidance.
Keywords: wound healing, mathematical modelling, hybrid model, fibroblast, collagen, transforming growth factor-β
DOI: 10.1098/rsif.2008.0536
ISSN: 1742-5689
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Divisions: Current > QUT Faculties and Divisions > Faculty of Health
Current > Institutes > Institute of Health and Biomedical Innovation
Past > Schools > School of Life Sciences
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2009 The Royal Society
Deposited On: 22 Apr 2009 23:18
Last Modified: 30 Oct 2013 03:31

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