Controlling Wound Healing Through Debridement

Authors

M. A. Jones, University of Michigan, Ann Arbor
Baojun Song, Montclair State UniversityFollow
D. M. Thomas, United States Military Academy at West Point

Document Type

Article

Publication Date

1-1-2004

Journal / Book Title

Mathematical and Computer Modelling

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.

DOI

10.1016/j.mcm.2003.09.041

MSU Digital Commons Citation

Jones, M. A.; Song, Baojun; and Thomas, D. M., "Controlling Wound Healing Through Debridement" (2004). Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works. 33.
https://digitalcommons.montclair.edu/appliedmath-stats-facpubs/33

Published Citation

Jones, M. A., Song, B., & Thomas, D. M. (2004). Controlling wound healing through debridement. Mathematical and Computer Modelling, 40(9-10), 1057-1064.