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Modeling of Self Healing of Skin Tissue

  • Fred Vermolen
  • Miranda W. G. van Rossum
  • Etelvina Javierre Perez
  • John Adam
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 100)

A suite of mathematical models for epidermal wound healing is presented. The models deal with the sequential steps of angiogenesis (neovascularization) and wound contraction (the actual healing of a wound). An innovation is the combination of the two processes which do not take place in a complete sequential manner but overlap partially. The models consist of nonlinearly coupled diffusion–reaction equations, in which transport of oxygen, growth factors, and cells, and mitosis are taken into account. Further, Adam’s alternative model, which is based on the assumption of the presence of an active layer at the wound edge, is described and some implications are presented. An important feature of the model due to Adam is that the wound edge is tracked explicitly as a part of the solution. In this work several numerical methods to solve the moving boundary problem are described.

Keywords

Active Layer Skin Tissue Capillary Density Wound Edge Active Layer Thickness 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2007

Authors and Affiliations

  • Fred Vermolen
    • 1
  • Miranda W. G. van Rossum
    • 2
  • Etelvina Javierre Perez
    • 2
  • John Adam
    • 1
  1. 1.Department of Mathematics and StatisticsOld Dominion UniversityNorfolkUSA
  2. 2.Department of Applied MathematicsDelft University of TechnologyThe Netherlands

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