Numerical modelling of the angiogenesis process in wound contraction

Biomechanics and Modeling in Mechanobiology
C ValeroM J Gómez-Benito

Abstract

Angiogenesis consists of the growth of new blood vessels from the pre-existing vasculature. This phenomenon takes place in several biological processes, including wound healing. In this work, we present a mathematical model of angiogenesis applied to skin wound healing. The developed model includes biological (capillaries and fibroblasts), chemical (oxygen and angiogenic growth factor concentrations) and mechanical factors (cell traction forces and extracellular matrix deformation) that influence the evolution of the healing process. A novelty from previous works, apart from the coupling of angiogenesis and wound contraction, is the more realistic modelling of skin as a hyperelastic material. Large deformations are addressed using an updated Lagrangian approach. The coupled non-linear model is solved with the finite element method, and the process is studied over two wound geometries (circular and elliptical) of the same area. The results indicate that the elliptical wound vascularizes two days earlier than the circular wound but that they experience a similar contraction level, reducing its size by 25 %.

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Citations

Nov 1, 2015·Journal of Ethnopharmacology·Mazlyzam Abdul LatifAsmah Hamid
Jan 21, 2014·International Journal for Numerical Methods in Biomedical Engineering·C ValeroM J Gómez-Benito
Oct 21, 2015·Frontiers in Physiology·Jennifer A FleggD L Sean McElwain
Aug 28, 2015·Journal of Photochemistry and Photobiology. B, Biology·PikSuan LauAsmah Hamid
May 21, 2013·Journal of Theoretical Biology·M SciannaL Preziosi
Dec 3, 2014·Annals of Biomedical Engineering·C ValeroM J Gómez-Benito
Jul 8, 2020·Advances in Wound Care·Shakti N Menon, Jennifer A Flegg
Jan 20, 2017·Journal of the Royal Society, Interface·Guillermo VilanovaHector Gomez
Nov 9, 2016·Journal of Mathematical Biology·Daniël C KoppenolKees Vuik
Jan 20, 2017·Wiley Interdisciplinary Reviews. Systems Biology and Medicine·Pinaki Bhattacharya, Marco Viceconti
Aug 28, 2021·Medical Sciences : Open Access Journal·Eberhard GrambowDaniel Strüder

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