Institute of Biomechanics, Center of Biomedical Engineering, Graz University of Technology, Graz, Austria.
Int J Numer Method Biomed Eng. 2013 Aug;29(8):822-49. doi: 10.1002/cnm.2555. Epub 2013 May 24.
We implemented a constrained mixture model of arterial growth and remodeling in a nonlinear finite element framework to facilitate numerical analyses of diverse cases of arterial adaptation and maladaptation, including disease progression, resulting in complex evolving geometries and compositions. This model enables hypothesis testing by predicting consequences of postulated characteristics of cell and matrix turnover, including evolving quantities and orientations of fibrillar constituents and nonhomogenous degradation of elastin or loss of smooth muscle function. The nonlinear finite element formulation is general within the context of arterial mechanics, but we restricted our present numerical verification to cylindrical geometries to allow comparisons with prior results for two special cases: uniform transmural changes in mass and differential growth and remodeling within a two-layered cylindrical model of the human aorta. The present finite element model recovers the results of these simplified semi-inverse analyses with good agreement.
我们在非线性有限元框架中实现了动脉生长和重塑的约束混合模型，以方便对各种动脉适应和不适应情况（包括疾病进展）进行数值分析，这些情况会导致复杂的不断演变的几何形状和组成。该模型通过预测细胞和基质周转率假设特征的后果来进行假设检验，包括纤维成分的数量和方向的演变以及弹性蛋白的非均匀降解或平滑肌功能的丧失。该非线性有限元公式在动脉力学的范围内具有通用性，但我们将目前的数值验证限制在圆柱几何形状内，以允许与两种特殊情况的先前结果进行比较：均匀的壁内质量变化和人类主动脉双层圆柱模型内的差异生长和重塑。目前的有限元模型以很好的一致性恢复了这些简化半反演分析的结果。
