Multiscale FEM simulations of cross‐linked actin network embedded in cytosol with the focus on the filament orientation
Multiscale FEM simulations of cross‐linked actin network embedded in cytosol with the focus on the filament orientation
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DOI：
10.1002/cnm.2993
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发表时间：
2018-07
影响因子：
2.1
通讯作者：
S. Klinge;Serhat Aygün;R. Gilbert;G. Holzapfel;G. Holzapfel
中科院分区：
文献类型：
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作者：
S. Klinge;Serhat Aygün;R. Gilbert;G. Holzapfel;G. Holzapfel
目前的贡献集中在应用多尺度有限元方法对嵌入在胞浆中的肌动蛋白网络进行建模。这些细胞成分对于细胞对外界刺激的反应特别重要。所选择的均化策略使用Hill-Mandel宏观均质条件来连接两个尺度：与细胞水平相关的宏观尺度和与代表性体积元素相关的微观尺度。对于细丝的建模，采用Holzapfel-Ogdenβ模型。它提供了拉力和引起的拉伸之间的关系，作为推导应力和弹性张量的基础，并使一种新的有限元实现成为可能。采用Neo-Hookean本构关系的单元对胞液进行模拟。结果证实了这一概念的主要优点，即它在选择代表性体积元素和宏观测试方面的灵活性。重点研究了灯丝取向及其对有效行为的影响。
The present contribution focuses on the application of the multiscale finite element method to the modeling of actin networks that are embedded in the cytosol. These cell components are of particular importance with regard to the cell response to external stimuli. The homogenization strategy chosen uses the Hill‐Mandel macrohomogeneity condition for bridging 2 scales: the macroscopic scale that is related to the cell level and the microscopic scale related to the representative volume element. For the modeling of filaments, the Holzapfel‐Ogden β‐model is applied. It provides a relationship between the tensile force and the caused stretches, serves as the basis for the derivation of the stress and elasticity tensors, and enables a novel finite element implementation. The elements with the neo‐Hookean constitutive law are applied for the simulation of the cytosol. The results presented corroborate the main advantage of the concept, namely, its flexibility with regard to the choice of the representative volume element as well as of macroscopic tests. The focus is particularly placed on the study of the filament orientation and of its influence on the effective behavior.