A one-dimensional morphoelastic model for burn injuries: sensitivity analysis and a feasibility study
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We consider a one-dimensional morphoelastic model describing post-burn scar contractions. This model describes the movement of the skin and the development of the effective Eulerian strain in the tissue. Besides these components, the model also contains components that play a major role in the wound healing process. These components are fibroblasts, myofibroblasts, signaling molecules, and collagen. We perform a sensitivity analysis for many parameters and use the results for a feasibility study. In this study, we test whether the model is suitable for predicting how contraction develops in different age groups. To this end, we conduct an extensive literature review to find parameter values. From the sensitivity analysis, we conclude that the most sensitive parameters are the equilibrium collagen concentration in the dermal layer, the apoptosis rate of fibroblasts and myofibroblasts, and the secretion rate of signaling molecules. Further, although we can use the model to simulate distinct contraction densities in different age groups, our results differ from what is seen in the clinic.
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