Modeling the effects of treating diabetic wounds with engineered skin substitutes
Catherine
Lloyd
Auckland Bioengineering Institute, The University of Auckland
Model Status
This CellML version of the model runs in PCEnv to recreate the results in the published paper. The model has also been checked in COR and the units are consistent. This particular version of the model represents wound healing in a diabetic patient.
Model Structure
ABSTRACT: In this paper, a novel mathematical model of wound healing in both normal and diabetic cases is presented, focusing upon the effects of adding two currently available commercial engineered skin substitute therapies to the wound (Apligraf) and Dermagraft). Our work extends a previously developed model, which considers inflammatory and repair macrophage dynamics in normal and diabetic wound healing. Here, we extend the model to include equations for platelet-derived growth factor concentration, fibroblast density, collagen density, and hyaluronan concentration. This enables us to examine the variation of these components in both normal and diabetic wound healing cases, and to model the treatment protocols of these therapies. Within the context of our model, we find that the key component to successful healing in diabetic wounds is hyaluronan and that the therapies work by increasing the amount of hyaluronan available in the wound environment. The time-to-healing results correlate with those observed in clinical trials and the model goes some way to establishing an understanding of why diabetic wounds do not heal, and how these treatments affect the diabetic wound environment to promote wound closure.
The original paper reference is cited below:
Modeling the effects of treating diabetic wounds with engineered skin substitutes, Helen V. Waugh and Jonathan A. Sherratt, 2007, Wound Repair and Regeneration, 15, 556-565. PubMed ID: 17650100
model diagram
Schematic diagram of the mathematical model describing macrophage and fibroblast dynamics in diabetic wound healing.
phi_I
inflammatory macrophage cell density
phi_R
repair macrophage cell density
T
transforming growth factor-beta concentration
TGF-beta
P
PDGF concentration
F
fibroblast density
C
collagen concentration
H
hyaluronan concentration
K_T
monocyte migration to the wound in response to TGF-beta
M_P
fibroblast migration to the wound in response to PDGF
f_T
fibroblast synthesis of collagen in response to TGF-beta
g_C
effect of collagen on its own synthesis by fibroblasts
diabetes
wound healing
macrophage
Catherine
Lloyd
May
Helen
Waugh
V
This is a CellML description of Waugh and Sherratt's 2007 mathematical model of macrophage dynamics in diabetic wound healing.
Catherine Lloyd
The University of Auckland, Auckland Bioengineering Institute
The University of Auckland
Auckland Bioengineering Institute
Modeling the effects of treating diabetic wounds with engineered skin substitutes
15
556
565
Jonathan
Sherratt
A
c.lloyd@auckland.ac.nz
keyword
17650100
2007-11-14T00:00:00+00:00
2007-07
Waugh and Sherratt's 2007 mathematical model of macrophage dynamics in diabetic wound healing.
Wound Repair and Regeneration