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arXiv 2103.07911cond-mat.softcond-mat.stat-mechphysics.bio-ph
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活细胞在线性和非线性弹性基质中的平均场相互作用

Mean-field interactions between living cells in linear and nonlinear elastic matrices

Tel Aviv University(特拉维夫大学)

Chaviva Sirote, Yair Shokef

AI总结:

该研究分析活细胞在弹性基质中的平均场相互作用,通过球、柱对称模型结合线性与非线性弹性理论,揭示细胞收缩力受相邻细胞及基质力学特性的影响规律。

摘要:

活细胞通过施加收缩力响应周围基质的机械变化,该收缩力会传递至远处的细胞。我们计算每个细胞使基质变形所做的机械功,并研究当一个收缩细胞被其他具有相似性质和行为的细胞包围时,该能量如何变化。我们考虑细胞空间排列的简单有效几何结构,包括球对称和柱对称两种情况,通过在细胞一定距离处施加零位移来模拟相邻细胞的存在,该零位移代表相邻细胞间的对称面。在线性弹性基质中,我们解析研究所得相互作用能量对几何结构、细胞刚度及调节行为的依赖关系。对于调节自身施加的主动应力的细胞,在球对称几何中,细胞内部的变形为纯压缩,因此相互作用仅取决于细胞的体积模量;而在柱对称几何中,变形还包含剪切,因此相互作用还取决于细胞的剪切模量。在非线性应变硬化基质中,我们的数值解和解析近似表明,在存在其他细胞时,由于剪切应力的发散,细胞收缩会受到限制。

英文摘要:

Living cells respond to mechanical changes in the matrix surrounding them by applying contractile forces that are in turn transmitted to distant cells. We calculate the mechanical work that each cell performs in order to deform the matrix, and study how that energy changes when a contracting cell is surrounded by other cells with similar properties and behavior. We consider simple effective geometries for the spatial arrangement of cells, with spherical and with cylindrical symmetries, and model the presence of neighboring cells by imposing zero-displacement at some distance from the cell, which represents the surface of symmetry between neighboring cells. In linear elastic matrices, we analytically study the dependence of the resulting interaction energy on the geometry and on the stiffness and regulatory behavior of the cells. For cells that regulate the active stress that they apply, in spherical geometry, the deformation inside the cell is pure compression thus the interaction depends only on their bulk modulus, while in cylindrical geometries the deformation includes also shear and the interaction depends also on their shear modulus. In nonlinear, strain stiffening matrices, our numerical solutions and analytical approximations show how in the presence of other cells, cell contraction is limited due to the divergence of the shear stress.

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