Modelling the Effect of Matrix Metalloproteinases in Dermal Wound Healing.
Travelling waves and Bifurcation analysis
Journal
Bulletin of mathematical biology
ISSN: 1522-9602
Titre abrégé: Bull Math Biol
Pays: United States
ID NLM: 0401404
Informations de publication
Date de publication:
05 09 2023
05 09 2023
Historique:
received:
24
05
2023
accepted:
09
08
2023
medline:
7
9
2023
pubmed:
6
9
2023
entrez:
5
9
2023
Statut:
epublish
Résumé
With over 2 million people in the UK suffering from chronic wounds, understanding the biochemistry and pharmacology that underpins these wounds and wound healing is of high importance. Chronic wounds are characterised by high levels of matrix metalloproteinases (MMPs), which are necessary for the modification of healthy tissue in the healing process. Overexposure of MMPs, however, adversely affects healing of the wound by causing further destruction of the surrounding extracellular matrix. In this work, we propose a mathematical model that focuses on the interaction of MMPs with dermal cells using a system of partial differential equations. Using biologically realistic parameter values, this model gives rise to travelling waves corresponding to a front of healthy cells invading a wound. From the arising travelling wave analysis, we observe that deregulated apoptosis results in the emergence of chronic wounds, characterised by elevated MMP concentrations. We also observe hysteresis effects when both the apoptotic rate and MMP production rate are varied, providing further insight into the management (and potential reversal) of chronic wounds.
Identifiants
pubmed: 37670045
doi: 10.1007/s11538-023-01195-8
pii: 10.1007/s11538-023-01195-8
pmc: PMC10480266
doi:
Substances chimiques
Matrix Metalloproteinases
EC 3.4.24.-
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
96Informations de copyright
© 2023. The Author(s).
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