Theoretical models of wound healing: past successes and future challenges
- 1 May 2002
- journal article
- review article
- Published by Cellule MathDoc/Centre Mersenne in Comptes Rendus Biologies
- Vol. 325 (5) , 557-564
- https://doi.org/10.1016/s1631-0691(02)01464-6
Abstract
The complex biology of wound healing is an area in which theoretical modelling has already made a significant impact. In this review article, the authors describe the key features of wound healing biology, divided into four components: epidermal wound healing, remodelling of the dermal extracellular matrix, wound contraction, and angiogenesis. Within each of these categories, previous modelling work is described, and the authors identify what they regard as the main challenges for future theoretical work. La biologie complexe de la cicatrisation des plaies est un domaine dans lequel la modélisation théorique a déjà eu un impact significatif. Dans cet article, les auteurs décrivent les éléments clés de la biologie de la cicatrisation, en les rangeant en quatre groupes : cicatrisation épidermique, remodelage de la matrice extracellulaire dermique, contraction de la plaie, angiogenèse. Dans chacune de ces catégories, les auteurs décrivent les travaux antérieurs, puis ils identifient ce qu’ils considèrent être les principaux défis théoriques à relever.Keywords
This publication has 49 references indexed in Scilit:
- Mathematical Modelling of Extracellular Matrix Dynamics using Discrete Cells: Fiber Orientation and Tissue RegenerationJournal of Theoretical Biology, 1999
- A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesisMathematical Medicine and Biology: A Journal of the IMA, 1997
- Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategiesMathematical Medicine and Biology: A Journal of the IMA, 1997
- Quantitative analysis of wound healingWound Repair and Regeneration, 1995
- Mathematical modeling of corneal epithelial wound healingMathematical Biosciences, 1994
- Threshold bifurcation in tissue interaction models for spatial pattern generationPhilosophical Transactions A, 1994
- Continuum model of fibroblast-driven wound contraction: Inflammation-mediationJournal of Theoretical Biology, 1992
- Models of epidermal wound healingProceedings Of The Royal Society B-Biological Sciences, 1990
- A Mathematical Model for the Production and Secration of Tumour Angiogenesis Factor in TumoursMathematical Medicine and Biology: A Journal of the IMA, 1990
- Mechanochemical models for generating biological pattern and form in developmentPhysics Reports, 1988