局部曲率对上皮组织的影响——协调旋转运动及其他时空排列
Effects of local curvature on epithelia tissue -- coordinated rotational movement and other spatiotemporal arrangements
AI总结：
本文在球面上用多相场模型研究曲率对上皮组织的影响，发现除固相和液相外还存在全局旋转相，并分析了位置缺陷、全局向列序及取向缺陷，揭示拓扑约束、几何性质与集体运动的相互作用。
摘要：
上皮组织的协调运动与活性物质过程密切相关。我们在此考虑曲率对细胞时空排列和细胞形状的影响。细胞由定义在球面上的多相场模型表示。除了依赖于球面曲率、细胞力学性质和活性强度的经典固相和液相之外，我们还识别出一种全局旋转相。这种旋转提供了一种协调的细胞运动，可与组织形态发生联系起来。这项在球面上的研究是探索拓扑约束、几何性质与集体运动之间精细相互作用的第一步。除了旋转状态之外，我们还分析了位置缺陷，识别出全局向列序，并研究了相关的取向缺陷。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
