Controlling wound healing through debridement

M. A. Jones; B. Song; D. M. Thomas

doi:10.1016/j.mcm.2003.09.041

Controlling wound healing through debridement

M. A. Jones, B. Song, D. M. Thomas

Applied Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

The formation of slough (dead tissue) on a wound is widely accepted as an inhibitor to natural wound healing. In this article, a system of differential equations that models slough/wound interaction is developed. We prove a threshold theorem that provides conditions on the amount of slough to guarantee wound healing. As a state-dependent time scale, debridement (the periodic removal of slough) is used as a control. We show that closure of the wound can be reached in infinite time by debriding.

Original language	English
Pages (from-to)	1057-1064
Number of pages	8
Journal	Mathematical and Computer Modelling
Volume	40
Issue number	9-10
DOIs	https://doi.org/10.1016/j.mcm.2003.09.041
State	Published - Nov 2004

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10.1016/j.mcm.2003.09.041

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abstract = "The formation of slough (dead tissue) on a wound is widely accepted as an inhibitor to natural wound healing. In this article, a system of differential equations that models slough/wound interaction is developed. We prove a threshold theorem that provides conditions on the amount of slough to guarantee wound healing. As a state-dependent time scale, debridement (the periodic removal of slough) is used as a control. We show that closure of the wound can be reached in infinite time by debriding.",

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AB - The formation of slough (dead tissue) on a wound is widely accepted as an inhibitor to natural wound healing. In this article, a system of differential equations that models slough/wound interaction is developed. We prove a threshold theorem that provides conditions on the amount of slough to guarantee wound healing. As a state-dependent time scale, debridement (the periodic removal of slough) is used as a control. We show that closure of the wound can be reached in infinite time by debriding.

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Controlling wound healing through debridement

Abstract

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