论文标题

局部曲率对上皮组织的影响 - 协调的旋转运动和其他时空排列

Effects of local curvature on epithelia tissue -- coordinated rotational movement and other spatiotemporal arrangements

论文作者

Happel, Lea, Wenzel, Dennis, Voigt, Axel

论文摘要

上皮组织的协调运动与主动物质过程有关。我们在这里考虑曲率对时空排列和细胞形状的影响。细胞由在球体表面上定义的多相场模型表示。除了取决于球体的曲率的经典固体和液相外,我们还确定了整体旋转阶段。这种旋转提供了协调的细胞运动,可以与组织形态发生有关。对球体的研究是研究拓扑约束,几何特性和集体运动之间微妙相互作用的第一步。除旋转状态外,我们还分析了位置缺陷,确定全球列秩序并研究相关的方向缺陷。

Coordinated movements of epithelia tissue are linked with active matter processes. We here consider the influence of curvature on the spatiotemporal arrangements and the shapes of the cells. The cells are represented by a multiphase field model which is defined on the surface of a sphere. Besides the classical solid and liquid phases, which depend on the curvature of the sphere, on mechanical properties of the cells and the strength of activity, we identify a phase of global rotation. This rotation provides a coordinated cellular movement which can be linked to tissue morphogenesis. This investigation on a sphere is a first step to investigate the delicate interplay between topological constraints, geometric properties and collective motion. Besides the rotational state we also analyse positional defects, identify global nematic order and study the associated orientational defects.

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