Mathematical Modelling of Natural Phenomena · 2010 · 17 citations · 20 references
Veterinary MedicineBiophysicsMicrobiologyBiological Systems ModelingCell PhysiologyWound HealingMathematical BiologySkin InfectionsTissue Response To InfectionWound Healing PhysiologyWound Healing ResponseWound InfectionCoupled Reaction-diffusion EquationsCutaneous Wound HealingInfection In Wound HealingInflammation In Infected WoundsReaction-diffusion EquationsReaction-diffusion In TissuesWound EpithelializationWound Healing Angiogenesis
Epidermal wound healing is a complex process that repairs injured tissue. The complexity of this process increases when bacteria are present in a wound; the bacteria interaction determines whether infection sets in. Because of underlying physiological problems infected wounds do not follow the normal healing pattern. In this paper we present a mathematical model of the healing of both infected and uninfected wounds. At the core of our model is an account of the initiation of angiogenesis by macrophage-derived growth factors. We express the model as a system of reaction-diffusion equations, and we present results of computations for a version of the model with one spatial dimension.
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Activated macrophages induce vascular proliferation
Peter J. Polverini, Ramzi S. Cotran, Michael A. Gimbrone et al. · Nature · 1977 · 814 citations
George F. Odland, Russell Ross · The Journal of Cell Biology · 1968 · 408 citations · Full text
Medicine, Cell Biology, Pathology +12