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Numerical Modelling of Epidermal Wound Healing

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • E. Javierre

    (Delft University of Technology, Fundamentals of Advanced Materials, Faculty of Aerospace Engineering)

  • F. J. Vermolen

    (Delft University of Technology, Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science)

  • C. Vuik

    (Delft University of Technology, Delft Institute of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science)

  • S. van der Zwaag

    (Delft University of Technology, Fundamentals of Advanced Materials, Faculty of Aerospace Engineering)

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.

Suggested Citation

  • E. Javierre & F. J. Vermolen & C. Vuik & S. van der Zwaag, 2008. "Numerical Modelling of Epidermal Wound Healing," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 83-90, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_9
    DOI: 10.1007/978-3-540-69777-0_9
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