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Computer Methods in Biomechanics and Biomedical Engineering pp 99–106Cite as

Continuum-Scale Models for the Evolution of Hypertrophic Scars and Contractions After Burn Injuries

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Part of the Lecture Notes in Bioengineering book series (LNBE)

Abstract

We review several of our mathematical models that we constructed for the simulation of contractures and morpho-elastic scars that are typically associated with deep dermal (burn) injuries. The models are based on partial differential equations, which are solved by the use of finite-element methods. The models contain elements of non-isotropy, morpho-elasticity for the treatment of the mechanics of the skin. Furthermore, we take into account the balances of fibroblasts, myofibroblasts, collagen and a generic growth factor. Using the models, we are able to simulate permanent contractions using physically sound principles.

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  • DOI: 10.1007/978-3-319-59764-5_12
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References

  • Koppenol DC, Vermolen FJ (2017) Biomedical implications from a morphoelastic model for the simulation of contracture formation in skin grafts that cover excised burns. Biomech Model Mechanobiol 16(4):1187–1206. doi:10.1007/s10237-017-0881-y

  • Koppenol DC, Vermolen FJ, Niessen FB, van Zuijlen P, Vuik C (2016a) A mathematical model for the simulation of the formation and subsequent regression of hypertrophic scar tissue after dermal wounding. Biomech Model Mechanobiol. doi:10.1007/s10237-016-0799-9

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  • Koppenol DC, Vermolen FJ, Niessen FB, van Zuijlen P, Vuik C (2016b) A biomechanical mathematical model for the collagen bundle distribution-dependent contraction and subsequent retraction of healing dermal wounds. Biomech Model Mechanobiol. doi:10.1007/s10237-016-082102

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  • Koppenol DC, Vermolen FJ, Koppenol-Gonzalez GV, Niessen FB, van Zuijlen P (2016c) A mathematical model for the simulation of the contraction of burns. J Math Biol. doi:10.1007/s00285-016-1075-4

    MATH  Google Scholar 

  • Vermolen FJ (2016) Particle methods to solve modeling problems in wound healing and tumor growth. Comput Part Mech 2(4):381–399

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Acknowledgements

The authors wish to thank the Dutch Burns Foundation (Nederlandse Brandwondenstichting) for the financial support under project WO/12.103.

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Authors and Affiliations

  1. Delft Institute of Applied Mathematics, Delft University of Technology, 2628 CD, Delft, The Netherlands

    Fred Vermolen & Daniël Koppenol

Authors
  1. Fred Vermolen
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  2. Daniël Koppenol
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Corresponding author

Correspondence to Fred Vermolen .

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Editors and Affiliations

  1. Department of Biomedical Engineering, Tel Aviv University, Tel Aviv, Israel

    Prof. Amit Gefen

  2. Faculty of Biomedical Engineering, Technion - Israel Institute of Technology, Haifa, Israel

    Prof. Dr. Daphne Weihs

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Vermolen, F., Koppenol, D. (2018). Continuum-Scale Models for the Evolution of Hypertrophic Scars and Contractions After Burn Injuries. In: Gefen, A., Weihs, D. (eds) Computer Methods in Biomechanics and Biomedical Engineering. Lecture Notes in Bioengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-59764-5_12

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  • DOI: https://doi.org/10.1007/978-3-319-59764-5_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59763-8

  • Online ISBN: 978-3-319-59764-5

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