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http://hdl.handle.net/1942/39993| Title: | Stability of a two-dimensional biomorphoelastic model for post-burn contraction | Authors: | EGBERTS, Ginger VERMOLEN, Fred van Zuijlen, Paul |
Issue Date: | 2023 | Publisher: | SPRINGER HEIDELBERG | Source: | JOURNAL OF MATHEMATICAL BIOLOGY, 86 (4) (Art N° 59) | 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. | Notes: | Egberts, G (corresponding author), Delft Univ Technol, Delft Inst Appl Math, Delft, Netherlands.; Egberts, G (corresponding author), Univ Hasselt, Dept Math & Stat, Res Grp Computat Math CMAT, Hasselt, Belgium. G.Egberts@tudelft.nl |
Keywords: | Burns;Wound contraction;Stability;Morphoelasticity;Moving-grid finite-element | Document URI: | http://hdl.handle.net/1942/39993 | ISSN: | 0303-6812 | e-ISSN: | 1432-1416 | DOI: | 10.1007/s00285-023-01893-w | ISI #: | 000953247900001 | Rights: | The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | Category: | A1 | Type: | Journal Contribution |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Stability of a two-dimensional biomorphoelastic model for post-burn contraction.pdf | Published version | 2.36 MB | Adobe PDF | View/Open |
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