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

Ginger Egberts, Fred Vermolen, Paul van Zuijlen

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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.
Original languageEnglish
Article number59
JournalJournal of Mathematical Biology
Issue number4
Publication statusPublished - 1 Apr 2023


  • Burns
  • Morphoelasticity
  • Moving-grid finite-element
  • Stability
  • Wound contraction

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