2008 | OriginalPaper | Buchkapitel
Numerical Modelling of Epidermal Wound Healing
verfasst von : E. Javierre, F. J. Vermolen, C. Vuik, S. van der Zwaag
Erschienen in: Numerical Mathematics and Advanced Applications
Verlag: Springer Berlin Heidelberg
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A coupling between wound closure by cell migration and angiogenesis is presented here to model healing of epidermal wounds. The closure of the wound is modelled as a moving interface around which a local grid refinement is applied. The numerical solution combines finite element and finite difference methods to solve the coupled diffusion-reaction equations governing the physiological problem and the hyperbolic equations governing the motion of the interface.
We discuss the accuracy and workload of our numerical model. Furthermore, we illustrate that, under certain circumstances, the healing process may be stopped after initiation.