Abstract
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.
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© 2008 Springer-Verlag Berlin Heidelberg
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Javierre, E., Vermolen, F.J., Vuik, C., van der Zwaag, S. (2008). Numerical Modelling of Epidermal Wound Healing. In: Kunisch, K., Of, G., Steinbach, O. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69777-0_9
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DOI: https://doi.org/10.1007/978-3-540-69777-0_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69776-3
Online ISBN: 978-3-540-69777-0
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