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Mathematical Modeling in Wound Healing, Bone Regeneration and Tissue Engineering

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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.

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Acknowledgments

LG is a postdoctoral fellow of the Research Foundation Flanders (FWO). RCS was supported by National Science Foundation Award 0112050.

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  1. Liesbet Geris

    Present address: Biomechanics Research Unit, Université de Liège, Chemin des Chevreuils 1 B52/3, 4000, Liège, Belgium

  2. Alf Gerisch

    Present address: Institut für Mathematik, Martin-Luther-Universität, Halle-Wittenberg, 06099, Halle (Saale), Germany

Authors and Affiliations

  1. Division of Biomechanics and Engineering Design, Katholieke Universiteit Leuven, Celestijnenlaan 300 (2419), BE 3001, Leuven, Belgium

    Liesbet Geris

  2. Department of Mathematics and Computer Science, Western Kentucky University, 1906 College Heights Blvd, #11078, Bowling Green, KY, 42101-1078, USA

    Richard C. Schugart

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  1. Liesbet Geris
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Correspondence to Liesbet Geris.

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Geris, L., Gerisch, A. & Schugart, R.C. Mathematical Modeling in Wound Healing, Bone Regeneration and Tissue Engineering. Acta Biotheor 58, 355–367 (2010). https://doi.org/10.1007/s10441-010-9112-y

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