A three-dimensional finite element model for the mechanics of cell-cell interactions.

A three-dimensional finite element model for the mechanics of cell-cell interactions.
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细胞与细胞相互作用力学的三维有限元模型。

DOI:
--
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发表时间:
2007
期刊:
Journal of Biomechanical Engineering
影响因子:
--
通讯作者:
G. Brodland
G. Brodland
中科院分区:
--
文献类型:
--
作者:
Denis Viens;G. Brodland

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技术挑战,包括与细胞重排相关的重大挑战,阻碍了胚胎细胞力学三维有限元模型的发展。这些挑战已经被一种新的配方克服了,在这种配方中,假设每个单元的内容物具有粘度u,使用正交仪表盘系统对其进行建模。这种方法克服了影响更传统模型的僵硬伪影,在传统模型中,使用填充空间的粘性元件来模拟细胞质。假设单元在几何上是多面体的,每个n边多边形面被细分成n个三角形,在面中心有一个公共节点,因此它不需要保持平坦。假定沿每个细胞-细胞界面作用的是恒定张力伽马,细胞重排通过两个互补的拓扑变换之一发生。该公式预测了相似或不相似细胞对之间的机械相互作用,这与实验、二维模拟、接触角理论和细胞内压力计算一致。对一种组织类型对另一种组织类型的部分吞噬的模拟表明,该配方能够毫不费力地模拟数百个细胞的聚集。使用该公式进行的模拟提出了测量细胞表面张力和界面张力的新的实验方法。该公式有望成为深入了解分离或聚集的胚胎细胞的机制以及设计和解释涉及它们的实验的工具。
Technical challenges, including significant ones associated with cell rearrangement, have hampered the development of three-dimensional finite element models for the mechanics of embryonic cells. These challenges have been overcome by a new formulation in which the contents of each cell, assumed to have a viscosity mu, are modeled using a system of orthogonal dashpots. This approach overcomes a stiffening artifact that affects more traditional models, in which space-filling viscous elements are used to model the cytoplasm. Cells are assumed to be polyhedral in geometry, and each n-sided polygonal face is subdivided into n triangles with a common node at the face center so that it needs not remain flat. A constant tension gamma is assumed to act along each cell-cell interface, and cell rearrangements occur through one of two complementary topological transformations. The formulation predicts mechanical interactions between pairs of similar or dissimilar cells that are consistent with experiments, two-dimensional simulations, contact angle theory, and intracellular pressure calculations. Simulations of the partial engulfment of one tissue type by another show that the formulation is able to model aggregates of several hundred cells without difficulty. Simulations carried out using this formulation suggest new experimental approaches for measuring cell surface tensions and interfacial tensions. The formulation holds promise as a tool for gaining insight into the mechanics of isolated or aggregated embryonic cells and for the design and interpretation of experiments that involve them.
通过零伺服微量移液器系统可靠测量小鼠眼压。
DOI: --
发表时间: 2001
影响因子: 4.4
作者:
Avila,MY;Carre,DA;Stone,RA;Civan,MM
通讯作者: Civan,MM