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

Authors :
Egberts, Ginger
Vermolen, Fred
van Zuijlen, Paul
Source :
Journal of Mathematical Biology. Apr2023, Vol. 86 Issue 4, p1-37. 37p.
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03036812
Volume :
86
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Mathematical Biology
Publication Type :
Academic Journal
Accession number :
162693453
Full Text :
https://doi.org/10.1007/s00285-023-01893-w