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Uncertainty Assessment of a Hybrid Cell-Continuum Based Model for Wound Contraction

  • Fred VermolenEmail author
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 126)

Abstract

We assess the uncertainty in a hybrid cell-based, continuum-based model for wound contraction. We explore the correlations between the final contraction of a wound and the stiffness of the tissue, forcing applied by fibroblasts, plastic forces, death rate of cells, differentiation rate of cells, amount of random walk, and the chemotactic strength. Furthermore, we compute the likelihood that serious contractions occur. Although the current model is very simple, the principles can be used to unravel the most important biological mechanisms behind wound contraction.

References

  1. 1.
    J. Tomasek, G. Gabbiani, B. Hinz, C. Chaponnier, R. Brown, Myofibroblasts and mechano-regulation of connective tissue remodelling. Nat. Rev. Mol. Cell Biol. 3, 349–363 (2002)CrossRefGoogle Scholar
  2. 2.
    C. Valero, E. Javierre, J.M. Garcia-Aznar, M.K. Gomez-Benito, A cell regulatory mechanism involving feedback between contraction and tissue formation guides wound healing progression. PLoS One 9(3), e92774 (2014). https://doi.org/10.1371/journal.pone.0092774Google Scholar
  3. 3.
    D.C. Koppenol, F.J. Vermolen, Biomedical implications from a morphoelastic continuum model for the simulation of contracture formation in skin grafts that cover excised burns. Biomech. Model. Mechanobiol. 16(4), 1187–1206 (1988)CrossRefGoogle Scholar
  4. 4.
    D. Drasdo, S. Höhme, A single-cell-based model for tumor growth in vitro: monolayers and spheroids. Phys. Biol. 2(3), 133–147 (2005)CrossRefGoogle Scholar
  5. 5.
    H. Byrne, D. Drasdo, Individual-based and continuum models of growing cell populations: a comparison. J. Math. Biol. 58, 657–687 (2009)MathSciNetCrossRefGoogle Scholar
  6. 6.
    C. Borau, W.J. Polacheck, R.D. Kamm, J.M. Garcia-Aznar, Probabilistic voxel-Fe model for single cell motility in 3D, In Silica Cell Tissue Science 1(2), (2014). https://doi.org/10.1186/2196-050X-1-2
  7. 7.
    W.M. Boon, D.C. Koppenol, F.J. Vermolen, A multi-agent cell-based model for wound contraction. J. Biomech. 49(8), 1388–1401 (2016)CrossRefGoogle Scholar
  8. 8.
    F.J. Vermolen, A. Gefen, Semi-stochastic cell–level computational modelling of cellular forces: application to contractures in burns. Biomech. Model Mechanobiol. 14(6), 1181–1195 (2009)CrossRefGoogle Scholar
  9. 9.
    E. Koehler, E. Brown, S.J.-P.A. Haneuse, On the assessment of Monte Carlo error in simulation-based statistical analyses. Am. Stat. 63(2), 155–162 (2009)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Delft Institute of Applied Mathematics, Delft University of TechnologyDelftThe Netherlands

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