论文标题
对受细胞活性或施加应力的组织的顶点模型不稳定性
Vertex model instabilities for tissues subject to cellular activity or applied stresses
论文作者
论文摘要
顶点模型被广泛用于描述上皮组织的动力学，因为它的简单性和多功能性以及直接包含生物物理参数。这里表明，当细胞因其活性而改变其平衡周长或组织受到外部应力的影响时，组织变得不稳定，而变形却是纯剪切或偏斜模式的变形，并具有旋转和膨胀模式。在短时间内，这些不稳定性变形了细胞增加其椭圆度，而在较长时间，细胞变为非凸，表明顶点模型不再是在这些条件下对组织的有效描述。由于在长波长下组织的均质化，针对常规六边形组织进行的分析计算与无序组织的模拟之间的一致性非常好。
The vertex model is widely used to describe the dynamics of epithelial tissues, because of its simplicity and versatility and the direct inclusion of biophysical parameters. Here, it is shown that quite generally, when cells modify their equilibrium perimeter due to their activity, or the tissue is subject to external stresses, the tissue becomes unstable with deformations that couple pure-shear or deviatoric modes, with rotation and expansion modes. For short times, these instabilities deform cells increasing their ellipticity while, at longer times, cells become non-convex, indicating that the vertex model ceases to be a valid description for tissues under these conditions. The agreement between the analytic calculations performed for a regular hexagonal tissue and the simulations of disordered tissues is excellent due to the homogenization of the tissue at long wavelengths.
