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

Title

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

 Author

Egberts, G. (TU Delft Numerical Analysis; University of Hasselt) ORCID 0000-0003-3601-6496
Vermolen, F.J. (University of Hasselt) ORCID 0000-0003-2212-1711
van Zuijlen, Paul (Red Cross Hospital, Beverwijk; Amsterdam UMC; Emma Children's Hospital Academic Medical Center, University of Amsterdam)

Date

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.


 Subject

Burns
Morphoelasticity
Moving-grid finite-element
Stability
Wound contraction

 To reference this document use:

http://resolver.tudelft.nl/uuid:937faf30-3959-4950-9501-8f7843b205ec

 DOI

https://doi.org/10.1007/s00285-023-01893-w

 ISSN

0303-6812

 Source

Journal of Mathematical Biology, 86 (4)

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2023 G. Egberts, F.J. Vermolen, Paul van Zuijlen
Files
PDF s00285_023_01893_w.pdf 2.43 MB
Close viewer