Title
Travelling waves in a wound healing assay
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.
Year
DOI
Venue
2004
10.1016/S0893-9659(04)90128-0
Applied Mathematics Letters
Keywords
Field
DocType
Fisher's equation,Human peritoneal mesothelial cells,Invasion waves
Traveling wave,Mathematical analysis,Wound healing assay,Mathematics,Fisher's equation,Wound healing
Journal
Volume
Issue
ISSN
17
5
0893-9659
Citations 
PageRank 
References 
5
0.78
0
Authors
3
Name
Order
Citations
PageRank
P.K Maini150.78
D.L.S McElwain250.78
D Leavesley350.78