An anisotropic biphasic theory of tissue-equivalent mechanics: The interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance
An anisotropic biphasic theory of tissue-equivalent mechanics: The interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance
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DOI：
10.1115/1.2796072
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发表时间：
1997-05-01
影响因子：
1.7
通讯作者：
Tranquillo, RT
中科院分区：
文献类型：
--
作者：
Barocas, VH;Tranquillo, RT
我们提出了组织等效物(细胞填充的胶原凝胶)中力学相互作用的一般数学理论：细胞牵引导致胶原纤维网络的致密，在某些条件下，如机械约束或细胞分布不均匀，这可能导致不均匀的致密，从而导致纤维排列，导致细胞接触指导，从而影响随后的致密。该理论解释了胶原凝胶本质上的两相性，胶原凝胶由胶原网和间质溶液组成。该理论还解释了由于不均匀的网络变形(即各向异性应变)导致的纤维排列，以及细胞对纤维排列的响应。单元排列导致各向异性迁移和牵引，由单元取向张量建模，该单元取向张量是纤维取向张量的函数，纤维取向张量由网络变形张量定义。各种组织等效物的模型显示，可以定性地预测由于细胞牵引驱动的不均匀压实而产生的排列。
We present a general mathematical theory for the mechanical interplay in tissue-equivalents (cell-populated collagen gels): Cell traction leads to compaction of the fibrillar collagen network, which for certain conditions such as a mechanical constraint or inhomogeneous cell distribution, can result in inhomogeneous compaction and consequently fibril alignment, leading to cell contact guidance, which affects the subsequent compaction. The theory accounts for the intrinsically biphasic nature of collagen gel, which is comprised of collagen network and interstitial solution. The theory also accounts for fibril alignment due to inhomogeneous network deformation that is, anisotropic strain, and for cell alignment in response to fibril alignment. Cell alignment results in anisotropic migration and traction, as modeled by a cell orientation tensor that is a function of a fiber orientation tensor, which is defined by the network deformation tenser. Models for a variety of tissue-equivalents are shown to predict qualitatively the alignment that arises due to inhomogeneous compaction driven by cell traction.