A mathematical analysis of physiological and morphological aspects of wound closure

Javierre, E.; Vermolen, F.J.; Vuik, C.; Van der Zwaag, S.

A mathematical analysis of physiological and morphological aspects of wound closure

Title

A mathematical analysis of physiological and morphological aspects of wound closure

Author

Javierre, E.
Vermolen, F.J.
Vuik, C.
Van der Zwaag, S.

Faculty

Aerospace Engineering

Department

Mechanics, Aerospace Structures and Materials

Date

2008-12-20

Abstract

A computational algorithm to study the evolution of complex wound morphologies is developed based on a model of wound closure by cell mitosis and migration due to Adam [Math Comput Model 30(5–6):23–32, 1999]. A detailed analysis of the model provides estimated values for the incubation and healing times. Furthermore, a set of inequalities are defined which demarcate conditions of complete, partial and non-healing. Numerical results show a significant delay in the healing progress whenever diffusion of the epidermic growth factor responsible for cell mitosis is slower than cell migration. Results for general wound morphologies show that healing is always initiated at regions with high curvatures and that the evolution of the wound is very sensitive to physiological parameters.

Subject

Wound closure kinetics
EGF diffusion
Moving interface
Level set method

To reference this document use:

http://resolver.tudelft.nl/uuid:611cad60-7d1a-4c54-86d5-c345d922b936

Publisher

Springer

ISSN

1432-1416

Source

Journal of Mathematical Biology, 59 (5)

Part of collection

Institutional Repository