Journal of Tissue Viability
Volume 19, Issue 2 , Pages 43-53 , May 2010

Computer simulations from a finite-element model for wound contraction and closure

  • F.J. Vermolen

      Affiliations

    • Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
    • Centro de Investigación Biomédica en Red en Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN), Group of Structural Mechanics and Materials Modelling (GEMM), Aragón Institute of Engineering Research (I3A), Universidad de Zaragoza, 50018 Zaragoza, Spain
    • Corresponding Author InformationCorresponding author. Tel.: +31 15 2787298; fax: +31 15 2787209.
    web address
    • ,
  • E. Javierre

      Affiliations

    • Aragon Health Sciences Institute, Agustín de Betancourt Building, C/María de Luna 7, Campus Rio Ebro, Universidad de Zaragoza, 50018 Zaragoza, Spain

References 

  1. Paddock HN, Schultz GS, Mast BA. Methods in reepithalization. In:  DiPietro LA,  Burns AI editor. Wound healing methods and protocols. Totowa, New Jersey, USA: Humana Press Inc.; 2003;
  2. Sherratt JA, Murray JD. Mathematical analysis of a basic model for epidermal wound healing. J Math Biol. 1991;29:389–404
  3. Lambert PH, Laurent PE. Intradermal vaccine delivery: will new delivery systems transform vaccine administration?. Vaccine. 2008;26(26):3197–3208
  4. Gaffney EA, Pugh K, Maini PK. Investigating a simple model for cutaneous wound healing angiogenesis. J Math Biol. 2002;45(4):337–374
  5. Plank MJ, Sleeman BD. A reinforced random walk model of tumour angiogenesis and anti-angiogenic strategies. Math Med Biol. 2003;20:135–181
  6. Plank MJ, Sleeman BD. Lattice and non-lattice models of tumour angiogenesis. Bull Mathem Biol. 2004;66:1785–1819
  7. Murray JD. Mathematical biology II: spatial models and biomedical applications. New York: Springer-Verlag; 2004;
  8. Maggelakis SA. Modeling the role of angiogenesis in epidermal wound healing. Discr Cont Sys. 2004;4:267–273
  9. Vermolen FJ, Adam JA. A finite element model for epidermal wound healing. In: Computational science, ICCS 2007. Berlin – Heidelberg, Germany: Springer; 2007;p. 70–77
  10. Vermolen FJ, Javierre E. A suite of continuum models for different aspects in wound healing. In: Bioengineering research of chronic wounds, studies in mechanobiology, tissue engineering and biomaterials. Springer; in press.
  11. Vermolen FJ, Javierre E. A simplified finite-element model for wound contraction and closure; in press.
  12. Stadelman WK, Digenis AG, Tobin GR. Physiology and healing dynamics of chronic cutaneous wounds. Am J Surg. 1997;176(2):26S–38S
  13. Olsen L, Sherratt JA, Maini PK. A mechanochemical model for adult dermal wound closure and the permanence of the contracted tissue displacement role. J Theor Biol. 1995;177:113–128
  14. Murray JD. On the mechanochemical theory of biological pattern formation with application to vasculogenesis. C R Biol. 2003;326:239–252
  15. Wearing HJ, Sherratt JD. Keratinocyte growth factor signalling: a mathematical model of dermal-epidermal interaction in epidermal wound healing. Math Biosci. 2000;165:41–62
  16. Rossiter H, Barresi C, Pammer J, Rendl M, Haigh J, Wagner EF, et al. Loss of vascular endothelial growth factor A activity in murine epidermal keratinocytes delays wound healing and inhibits tumor formation. Cancer Res. 2004;64:3508–3516
  17. Alarcon T, Byrne H, Maini P, Panovska J. Mathematical modeling of angiogenesis and vascular adaptation. In: Paton R, McNamara, L, editors. Studies in multidisciplinary, vol. 3; 2006. p. 369–87.
  18. Vermolen FJ. A simplified finite element model for tissue regeneration with angiogenesis. ASCE J Eng Mechanics. 2008;135(5):2009
  19. Lamme EN. Artificial skin and tissue regeneration, thesis. The University of Amsterdam, the Netherlands; 1999.
  20. Friesel RE, Maciang T. Molecular mechanisms of angiogenesis: fibroblast growth factor signal transduction. FASEB J. 1995;9:919–925
  21. Stoletov KV, Ratcliffe KE, Terman BI. Fibroblast growth factor receptor substrate 2 participates in vascular endothelial growth factor-induced signaling. FASEB J. 2002;16:1283–1285
  22. Tranquillo RT, Murray JD. Continuum model of fibroblast-driven wound contraction inflammation–mediation. J Theor Biol. 1992;158(2):135–172
  23. Pettet GJ, Byrne HM, McElwain DLS, Norbury J. A model of wound healing angiogenesis in soft tissue. Math Biosci. 1996;136:35–63
  24. Laplante AF, Germain L, Auger FA, Moulin V. Mechanisms of wound reepithelialization: hints from a tissue-engineered reconstructed skin to long-standing questions. FASEB J. 2001;15:2377–2382
  25. Escámez MJ, García M, Larcher F, Meana A, Nuñoz E, Jorcano JL, et al. An in vivo model of wound healing in genetically modified skin-humanized mice. J Invest Dermatol. 2004;123:1182–1191

PII: S0965-206X(09)00055-2

doi: 10.1016/j.jtv.2009.11.003

Journal of Tissue Viability
Volume 19, Issue 2 , Pages 43-53 , May 2010

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