Viscoelasticity of cross‐linked actin network embedded in cytosol
Viscoelasticity of cross‐linked actin network embedded in cytosol
复制标题
嵌入细胞质中的交联肌动蛋白网络的粘弹性
DOI：
10.1002/pamm.201800151
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
G. A. Holzapfel
中科院分区：
文献类型：
--
作者：
T. Wiegold;S. Klinge;S. Aygün;R. P. Gilbert;G. A. Holzapfel
真核细胞是一个复杂的系统，包括具有不同结构和作用的各种组分。目前的贡献涉及微观和宏观模拟的细胞，如果它的两个组成部分被认为是：细胞质和肌动蛋白网络。在微观水平上，肌动蛋白由Holzapfel-Ogden模型建模，包括粘性效应的扩展。该模型提供了一个单一的聚合物链的拉伸和所施加的张力之间的关系。该关系包括单链的物理长度、其端到端距离和拉伸模量的影响。由于偏差变化而发生的粘性效应被建模为对应于广义麦克斯韦模型的弹簧和阻尼器。细胞溶质由FEAP程序的大应变粘性模型模拟。最后，用多尺度有限元方法模拟了细胞质的有效行为。之所以选择这种方法，是因为它适用于模拟特征尺度长度比率为零的非线性非均匀材料。所选的数值例子处理的有效材料的拉伸试验与两个保持阶段的行为。
An eukaryotic cell is a complex system including various components with different structures and roles. The current contribution deals with the microscopic and macroscopic simulations of a cell if two of its components are considered: cytosol and actin network. At the microscopic level, the actin is modeled by the Holzapfel‐Ogden model, including an extension for viscous effects. The model provides a relationship between the stretch of a single polymer chain and the applied tension force. This relationship includes the influence of the physical length of a single chain, its end‐to‐end distance and the stretch modulus. The viscous effects occurring due to deviatoric changes are modeled corresponding to a spring and a dashpot of the generalized Maxwell model. The cytosol is modeled by a large strain viscous model from the FEAP program. Finally, the effective behavior of the cell cytoplasm is simulated by using the multiscale finite element method. This method has been chosen since it is suitable for simulating nonlinear heterogeneous materials with a zero‐ratio of the characteristic lengths of scales. The selected numerical example deals with the effective material behavior for a tension test with two holding phases.