ArticleJournal of mathematical biology2021
Stability of a one-dimensional morphoelastic model for post-burn contraction.
Article in Journal of mathematical biology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Models for Implant-Induced Capsular Contracture Post Breast Cancer Surgery.Bulletin of mathematical biology · 2023Article
- Stability of a two-dimensional biomorphoelastic model for post-burn contraction.Journal of mathematical biology · 2023Article
- Sensitivity of a two-dimensional biomorphoelastic model for post-burn contraction.Biomechanics and modeling in mechanobiology · 2023Article
- The Future of Burn Care From a Complexity Science Perspective.Journal of burn care & research : official publication of the American Burn Association · 2022Article
- A Bayesian finite-element trained machine learning approach for predicting post-burn contraction.Neural computing & applications · 2022Article
- Sensitivity and feasibility of a one-dimensional morphoelastic model for post-burn contraction.Biomechanics and modeling in mechanobiology · 2021Article
- The Course of Scar Formation and Predictors of Scar Quality in 490 Paediatric Burn Patients During the First Year Post-Burn.Wound repair and regeneration : official publication of the Wound Healing Society [and] the European Tissue Repair SocietyArticle
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
To deal with permanent deformations and residual stresses, we consider a morphoelastic model for the scar formation as the result of wound healing after a skin trauma. Next to the mechanical components such as strain and displacements, the model accounts for biological constituents such as the concentration of signaling molecules, the cellular densities of fibroblasts and myofibroblasts, and the density of collagen. Here we present stability constraints for the one-dimensional counterpart of this morphoelastic model, for both the continuous and (semi-) discrete problem. We show that the truncation error between these eigenvalues associated with the continuous and semi-discrete problem is of order [Formula: see text]. Next we perform numerical validation to these constraints and provide a biological interpretation of the (in)stability. For the mechanical part of the model, the results show the components reach equilibria in a (non) monotonic way, depending on the value of the viscosity. The results show that the parameters of the chemical part of the model need to meet the stability constraint, depending on the decay rate of the signaling molecules, to avoid unrealistic results.
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Registered trials
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