Acta Biotheoretica

, Volume 58, Issue 4, pp 355–367

Mathematical Modeling in Wound Healing, Bone Regeneration and Tissue Engineering

Regular Article

DOI: 10.1007/s10441-010-9112-y

Cite this article as:
Geris, L., Gerisch, A. & Schugart, R.C. Acta Biotheor (2010) 58: 355. doi:10.1007/s10441-010-9112-y

Abstract

The processes of wound healing and bone regeneration and problems in tissue engineering have been an active area for mathematical modeling in the last decade. Here we review a selection of recent models which aim at deriving strategies for improved healing. In wound healing, the models have particularly focused on the inflammatory response in order to improve the healing of chronic wound. For bone regeneration, the mathematical models have been applied to design optimal and new treatment strategies for normal and specific cases of impaired fracture healing. For the field of tissue engineering, we focus on mathematical models that analyze the interplay between cells and their biochemical cues within the scaffold to ensure optimal nutrient transport and maximal tissue production. Finally, we briefly comment on numerical issues arising from simulations of these mathematical models.

Keywords

Mathematical modeling Wound healing Bone regeneration Tissue engineering 

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Liesbet Geris
    • 1
    • 2
  • Alf Gerisch
    • 3
  • Richard C. Schugart
    • 4
  1. 1.Division of Biomechanics and Engineering DesignKatholieke Universiteit LeuvenLeuvenBelgium
  2. 2.Biomechanics Research UnitUniversité de LiègeLiègeBelgium
  3. 3.Institut für MathematikMartin-Luther-UniversitätHalle (Saale)Germany
  4. 4.Department of Mathematics and Computer ScienceWestern Kentucky UniversityBowling GreenUSA

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