Stability of a two-dimensional biomorphoelastic model for post-burn contraction
Ginger Egberts (TU Delft - Numerical Analysis, University of Hasselt)
F. J. Vermolen (University of Hasselt)
Paul Van Zuijlen (Red Cross Hospital, Beverwijk, Amsterdam UMC, Emma Children's Hospital Academic Medical Center, University of Amsterdam)
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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.
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