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Controlling wound healing through debridement. (English) Zbl 1061.92036

Summary: 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.

MSC:

92C50 Medical applications (general)
34C60 Qualitative investigation and simulation of ordinary differential equation models
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