Continuum modeling of forces in growing viscoelastic cytoskeletal networks.
Continuum modeling of forces in growing viscoelastic cytoskeletal networks.
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DOI：
10.1016/j.jtbi.2008.10.023
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发表时间：
2009-02-21
影响因子：
2
通讯作者：
Sun, Sean X.
中科院分区：
文献类型：
--
作者：
Kim, Jin Seob;Sun, Sean X.
活细胞的机械性质在细胞运动、细胞分裂、癌症发展和细胞信号传导中是重要的。利用微机械技术测量活体材料和活体细胞骨架的局部力学性能引起了人们极大的兴趣。然而，生活材料不断经历内部动态，如生长和重塑。一个建模框架，结合机械变形与细胞骨架生长动力学是必要的，以描述细胞形状的变化。本文发展了一种通用的有限变形建模方法，可以处理粘弹性细胞骨架。给定细胞骨架网络中的生长动力学以及变形和应力之间的关系，以增量方式计算网络的形状。细胞骨架的生长动力学可以模拟为应力依赖性。结果是对整体单元变形的一致处理。该框架被施加到一个不断增长的1-D束肌动蛋白丝对弹性悬臂，和一个2-D细胞经历波浪状突起动力学。在后一个例子中，细胞粘附上的机械力被检查为突起动力学的函数。
Mechanical properties of the living cell are important in cell movement, cell division, cancer development and cell signaling. There is considerable interest in measuring local mechanical properties of living materials and the living cytoskeleton using micromechanical techniques. However, living materials are constantly undergoing internal dynamics such as growth and remodeling. A modeling framework that combines mechanical deformations with cytoskeletal growth dynamics is necessary to describe cellular shape changes. The present paper develops a general finite deformation modeling approach that can treat the viscoelastic cytoskeleton. Given the growth dynamics in the cytoskeletal network and the relationship between deformation and stress, the shape of the network is computed in an incremental fashion. The growth dynamics of the cytoskeleton can be modeled as stress dependent. The result is a consistent treatment of overall cell deformation. The framework is applied to a growing 1-d bundle of actin filaments against an elastic cantilever, and a 2-d cell undergoing wave-like protrusion dynamics. In the latter example, mechanical forces on the cell adhesion are examined as a function the protrusion dynamics.
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