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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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\textit{M. A. Jones} et al., Math. Comput. Modelling 40, No. 9--10, 1057--1064 (2004; Zbl 1061.92036)

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### References:

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