Active elastic thin shell theory for cellular deformations
Active elastic thin shell theory for cellular deformations
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DOI：
10.1088/1367-2630/16/6/065005
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发表时间：
2014-06-10
影响因子：
3.3
通讯作者：
Salbreux, Guillaume
中科院分区：
文献类型：
--
作者：
Berthoumieux, Helene;Maitre, Jean-Leon;Salbreux, Guillaume
我们推导了薄轴对称弹性壳的方程，该壳受到内部主动应力，从而在壳内产生主动张力和力矩。我们讨论圆柱形弹性壳的稳定性及其对内部主动应力局部变化的响应。该描述与描述细胞肌动球蛋白皮质相关，细胞肌动球蛋白皮质是细胞表面的薄壳，在短时间内表现出弹性，并受到肌球蛋白分子运动活动产生的主动内力的影响。我们表明，最近观察到的贴壁细胞脱离后的细胞变形（Ma tre J-L 等人 2012 Science 338 253-6）可以通过这种机械描述得到很好的解释。肌动蛋白皮层的弹性模量和弯曲模量可以通过对这些实验中观察到的细胞形状的定量分析来获得。因此，我们的方法提供了一种非侵入性、基于成像的方法来提取细胞物理参数。
We derive the equations for a thin, axisymmetric elastic shell subjected to an internal active stress giving rise to active tension and moments within the shell. We discuss the stability of a cylindrical elastic shell and its response to a localized change in internal active stress. This description is relevant to describe the cellular actomyosin cortex, a thin shell at the cell surface behaving elastically at a short timescale and subjected to active internal forces arising from myosin molecular motor activity. We show that the recent observations of cell deformation following detachment of adherent cells (Ma tre J-L et al 2012 Science 338 253-6) are well accounted for by this mechanical description. The actin cortex elastic and bending moduli can be obtained from a quantitative analysis of cell shapes observed in these experiments. Our approach thus provides a non-invasive, imaging-based method for the extraction of cellular physical parameters.