Stability of a two-dimensional biomorphoelastic model for post-burn contraction.

Autor: Egberts G; Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands. G.Egberts@tudelft.nl.; Research Group Computational Mathematics (CMAT), Department of Mathematics and Statistics, University of Hasselt, Hasselt, Belgium. G.Egberts@tudelft.nl., Vermolen F; Research Group Computational Mathematics (CMAT), University of Hasselt, Hasselt, Belgium.; Data Science Institute (DSI), University of Hasselt, Hasselt, Belgium., van Zuijlen P; Burn Centre and Department of Plastic, Reconstructive and Hand Surgery, Red Cross Hospital, Beverwijk, The Netherlands.; Department of Plastic, Reconstructive and Hand Surgery, Amsterdam UMC, location VUmc, Amsterdam Movement Sciences, Amsterdam, The Netherlands.; Pediatric Surgical Centre, Emma Children's Hospital, Amsterdam UMC, location AMC and VUmc, Amsterdam, The Netherlands.
Jazyk: angličtina
Zdroj: Journal of mathematical biology [J Math Biol] 2023 Mar 24; Vol. 86 (4), pp. 59. Date of Electronic Publication: 2023 Mar 24.
DOI: 10.1007/s00285-023-01893-w
Abstrakt: We consider the stability analysis of a two-dimensional model for post-burn contraction. The model is based on morphoelasticity for permanent deformations and combined with a chemical-biological model that incorporates cellular densities, collagen density, and the concentration of chemoattractants. We formulate stability conditions depending on the decay rate of signaling molecules for both the continuous partial differential equations-based problem and the (semi-)discrete representation. We analyze the difference and convergence between the resulting spatial eigenvalues from the continuous and semi-discrete problems.
(© 2023. The Author(s).)
Databáze: MEDLINE
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