Keywords
collagen deposition, collagen alignment, dermal wound healing, fibroblasts
Abstract
We develop a novel mathematical model for collagen deposition and alignment during dermal wound healing. We focus on the interactions between fibroblasts, modelled as discrete entities, and a continuous extracellular matrix composed of collagen and a fibrin based blood clot. There are four basic interactions assumed in the model: fibroblasts orient the collagen matrix, fibroblasts produce and degrade collagen and fibrin and the matrix directs the fibroblasts and determines the speed of the cells. Several factors which influence the alignment of collagen are examined and related to current anti-scarring therapies using transforming growth factor " The most influential of these factors are cell speed and, more importantly for wound healing, the influx of fibroblasts from surrounding tissue.
Original Publication Citation
J.C. Dallon, J.A. Sherratt, P.K. Maini and M.W. Ferguson: Biological Implications of a Discrete Mathematical Model for Collagen Deposition and Alignment in Dermal Wound Repair. IMA Journal of Mathematics Applied in Medicine and Biology 17: 379-393 (2).
BYU ScholarsArchive Citation
Dallon, J. C.; Sherratt, J. A.; Maini, P. K.; and Ferguson, M. W., "Biological Implications of a Discrete Mathematical Model for Collagen Deposition and Alignment in Dermal Wound Repair" (2000). Faculty Publications. 1102.
https://scholarsarchive.byu.edu/facpub/1102
Document Type
Peer-Reviewed Article
Publication Date
2000-08-15
Permanent URL
http://hdl.lib.byu.edu/1877/1253
Publisher
Oxford University Press
Language
English
College
Physical and Mathematical Sciences
Department
Mathematics
Copyright Status
© 2000 John Dallon, Jonathan Sherratt, Philip Maini and Mark Ferguson
Copyright Use Information
http://lib.byu.edu/about/copyright/