In silico exploration of post-burn contraction using uncertainty quantification

Doctoral thesis (2023)

Authors

G. Egberts Numerical Analysis - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Copyright: © 2023 G. Egberts
DOI
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https://doi.org/10.4233/uuid:678bd7d9-8aac-4644-b058-2aa8000d7811
Machine Learning Sensitivity Analysis Finite Element Method Artificial Intelligence Stability Analysis Feasibility Study Monte Carlo Simulations Skin Burns Post-burn Scars Post-burn Contraction Contracture Formation, Morphoelasticity Fibroblasts Myofibroblasts, Cell Proliferation Signaling Molecules Collagen, Dermal Displacements Dermal Strains Moving-grid Relative Scar/Wound Area Strain Energy Feed-forward Neural Network Medical Application
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Published Date

2023

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

Abstract

Burns can make patients’ lives quite miserable. Apart from prominent and thickened, or hypertrophic, scars, the skin may be characterized by contraction. When this contraction is so severe that the patient loses joint mobility, it is called contracture. Then a patient may have difficulties with sports or other daily activities. The consequence can be an enormous psychosocial burden for the patient. Understanding contraction mechanisms is essential to improve and optimize the treatment of contractures. This understanding can arise from clinical (in vivo) and experimental (in vitro) observations but can also be explored using mathematical models (in silico). Mathematical models describe quantitative relations and can explain specific trends and make predictions. Further, in silico models forman alternative for animal experiments. One such mathematical model is the Biomorphoelastic model for post-burn contraction [1]. This model arises from conservation laws expressed in partial differential equations on a continuous (macro) scale. We study this model’s one- and twodimensional counterparts...