Institute of Solid Mechanics, Department of Mechanical Engineering, Technische Universität Carolo-Wilhelmina, 38106 Braunschweig, Germany.
J Biomech. 2011 Jul 28;44(11):2090-5. doi: 10.1016/j.jbiomech.2011.05.020. Epub 2011 May 31.
This paper presents a three-dimensional phenomenological model for the description of smooth muscle activation. A strain energy function is proposed as sum of the strain energy stored in the passive tissue, consisting of elastin and collagen, and an active calcium-driven energy related to the chemical contraction of the smooth muscle cells. Further, the proposed model includes the dispersions of the orientations of smooth muscle cells and collagen. These dispersions, measured in experiments, can be directly inserted into the model. The approach is implemented into the framework of the finite element method. Consequently, beside a validation with experiments the modelling concept is used for a three-dimensional numerical study.
本文提出了一个用于描述平滑肌激活的三维现象学模型。提出了一种应变能函数，它是由被动组织（包括弹性蛋白和胶原蛋白）中储存的应变能以及与平滑肌细胞化学收缩相关的主动钙驱动能量之和。此外，所提出的模型还包括平滑肌细胞和胶原蛋白取向的离散度。这些在实验中测量的离散度可以直接插入到模型中。该方法被应用于有限元方法的框架中。因此，除了与实验的验证外，该建模概念还用于进行三维数值研究。
