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Travelling waves in a wound healing assay

Maini, Philip K., McElwain, Sean, & Leavesley, David I. (2004) Travelling waves in a wound healing assay. Applied Mathematics Letters, 17(5), pp. 575-580.

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Abstract

Several authors have predicted that cell propagation in a number of biological contexts, for example, wound healing, tumour cell invasion, angiogenesis etc., occurs due to a constant speed travelling wave of invasion. The analyses of these models to arrive at this prediction is, in many cases, essentially an extension of the classical analysis of Fisher's equation. Here, we show that a very simple wound healing assay does indeed give rise to constant speed travelling waves. To our knowledge, this is the first verification of Fisher's equation in a medical context.

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45 citations in Scopus
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55 citations in Web of Science®

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ID Code: 3452
Item Type: Journal Article
Additional Information:
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Keywords: Fisher's equation, Human peritoneal mesothelial cells, Invasion waves
DOI: 10.1016/S0893-9659(04)90128-0
ISSN: 0893-9659
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Mathematical Sciences
Copyright Owner: Copyright 2004 Elsevier
Deposited On: 28 Apr 2008
Last Modified: 25 Sep 2012 12:08

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