Mathematical Institute, Leiden University, 2333 CA, Niels Bohrweg, The Netherlands.
Delft Institute of Applied Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, The Netherlands.
Biomech Model Mechanobiol. 2022 Jun;21(3):919-935. doi: 10.1007/s10237-022-01568-3. Epub 2022 Apr 10.
Plastic (permanent) deformations were earlier, modeled by a phenomenological model in Peng and Vermolen (Biomech Model Mechanobiol 19(6):2525-2551, 2020). In this manusctipt, we consider a more physics-based formulation that is based on morphoelasticity. We firstly introduce the morphoelasticity approach and investigate the impact of various input variables on the output parameters by sensitivity analysis. A comparison of both model formulations shows that both models give similar computational results. Furthermore, we carry out Monte Carlo simulations of the skin contraction model containing the morphoelasticity approach. Most statistical correlations from the two models are similar, however, the impact of the collagen density on the severeness of contraction is larger for the morphoelasticity model than for the phenomenological model.
塑性（永久）变形先前由 Peng 和 Vermolen 的一个唯象模型进行建模（Biomech Model Mechanobiol 19(6):2525-2551, 2020）。在本文中，我们考虑了一种更基于物理的公式，它基于形态弹性。我们首先介绍了形态弹性方法，并通过敏感性分析研究了各种输入变量对输出参数的影响。两种模型公式的比较表明，两种模型都给出了相似的计算结果。此外，我们对包含形态弹性方法的皮肤收缩模型进行了蒙特卡罗模拟。两个模型的大多数统计相关性相似，然而，对于形态弹性模型，胶原蛋白密度对收缩严重程度的影响大于唯象模型。
