Controlling wound healing through debridement

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

Research output: Contribution to journalArticle

42 Citations (Scopus)

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 languageEnglish
Pages (from-to)1057-1064
Number of pages8
JournalMathematical and Computer Modelling
Volume40
Issue number9-10
DOIs
StatePublished - 1 Jan 2004

Fingerprint

Wound Healing
Differential equations
Tissue
System of Differential Equations
Inhibitor
Closure
Time Scales
Dependent
Interaction
Theorem
Model

Cite this

Jones, M. A. ; Song, Baojun ; Thomas, D. M. / Controlling wound healing through debridement. In: Mathematical and Computer Modelling. 2004 ; Vol. 40, No. 9-10. pp. 1057-1064.
@article{7906817f876b4843b896eb0d214f96cb,
title = "Controlling wound healing through debridement",
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.",
author = "Jones, {M. A.} and Baojun Song and Thomas, {D. M.}",
year = "2004",
month = "1",
day = "1",
doi = "10.1016/j.mcm.2003.09.041",
language = "English",
volume = "40",
pages = "1057--1064",
journal = "Mathematical and Computer Modelling",
issn = "0895-7177",
publisher = "Elsevier Ltd",
number = "9-10",

}

Controlling wound healing through debridement. / Jones, M. A.; Song, Baojun; Thomas, D. M.

In: Mathematical and Computer Modelling, Vol. 40, No. 9-10, 01.01.2004, p. 1057-1064.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Controlling wound healing through debridement

AU - Jones, M. A.

AU - Song, Baojun

AU - Thomas, D. M.

PY - 2004/1/1

Y1 - 2004/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=16344366712&partnerID=8YFLogxK

U2 - 10.1016/j.mcm.2003.09.041

DO - 10.1016/j.mcm.2003.09.041

M3 - Article

AN - SCOPUS:16344366712

VL - 40

SP - 1057

EP - 1064

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

SN - 0895-7177

IS - 9-10

ER -