Computer simulations from a finite-element model for wound contraction and closure
published online 21 December 2009.
Abstract
Some implications from a simplified finite-element model are given in this study. The model takes into account the sequential steps of wound contraction, angiogenesis and wound closure. An innovation in the present study is the combination of these partially overlapping processes, yielding novel insights into the process of wound healing, such as geometry related influences, and could be used to investigate the influence of local injection of hormones that stimulate partial processes occurring during wound healing. These insights can be used to improve wound-healing treatments. The model consists of nonlinearly coupled diffusion–reaction and visco-elastic equations, in which transport, production and decay of oxygen, growth factors and various cell types. The present paper provides results of the healing of deep wounds under several regimes of endothelial and epithelial cell migration, and the results are interpreted in a biological sense.
aDelft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
bCentro 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
cAragon Health Sciences Institute, Agustín de Betancourt Building, C/María de Luna 7, Campus Rio Ebro, Universidad de Zaragoza, 50018 Zaragoza, Spain