论文标题
在细胞单层的顶点模型中，夫妇应力和离散电势
Couple stresses and discrete potentials in the vertex model of cellular monolayers
论文作者
论文摘要
顶点模型被广泛用于模拟汇合上皮和其他多细胞组织的机械性能。这种固有的离散框架允许将cauchy应力归因于每个单元，并且至少针对平面单层而广泛报道了其对称分量。在这里，我们考虑了归因于每个三细胞连接的邻域的应力，尤其评估其领先的抗对称成分和相关的夫妇应力，这些应力表征了单个细胞在平面内弯曲变形的程度。我们为内部结构混乱的局部单层开发了离散的潜在理论，并使用它来得出通风和Mindlin压力功能的类似物。这些标量电势通常具有宽带的光谱，突出了小规模缺陷和边界层对全球应力模式的贡献。仿射近似属性将夫妇压力压力是共享三连的细胞之间的压力差，但模拟表明非伴随变形的额外作用。
The vertex model is widely used to simulate the mechanical properties of confluent epithelia and other multicellular tissues. This inherently discrete framework allows a Cauchy stress to be attributed to each cell, and its symmetric component has been widely reported, at least for planar monolayers. Here we consider the stress attributed to the neighbourhood of each tricellular junction, evaluating in particular its leading-order antisymmetric component and the associated couple stresses, which characterise the degree to which individual cells experience (and resist) in-plane bending deformations. We develop discrete potential theory for localised monolayers having disordered internal structure and use this to derive the analogues of Airy and Mindlin stress functions. These scalar potentials typically have broad-banded spectra, highlighting the contributions of small-scale defects and boundary-layers to global stress patterns. An affine approximation attributes couple stresses to pressure differences between cells sharing a trijunction, but simulations indicate an additional role for non-affine deformations.
