论文标题
汇合上皮的流体动力和多尺度顺序
Hydrodynamics and multiscale order in confluent epithelia
论文作者
论文摘要
我们制定了汇合上皮的流体动力学理论:即相互粘附的上皮细胞的单层,而没有间隙。利用最近的进展,在建立P液晶的一般流体力学理论方面,我们证明了共同迁移的上皮具有nematic(即p = 2)和甲基化(即p = 6)顺序,而前者则在较大的长度尺度上占主导地位。如此出色的多尺度液晶秩序在系统的结构因子中留下了独特的特征,该因子表现出了两个不同的功率定律缩放机制,反映了小细胞簇的六边形几何形状以及全球细胞流的单轴结构。我们通过上皮细胞的两个不同细胞分辨模型来支持这些分析预测,即自propelled voronoi模型和多相场模型 - 并突出显示动量耗散和噪声如何影响小长度的波动范围,从而影响细胞之间的合作程度。我们的构建提供了一个理论框架,可以概念化麦丁·达比犬肾细胞层的多尺度秩序的最新观察,并为进一步的理论发展铺平了道路。
We formulate a hydrodynamic theory of confluent epithelia: i.e. monolayers of epithelial cells adhering to each other without gaps. Taking advantage of recent progresses toward establishing a general hydrodynamic theory of p-atic liquid crystals, we demonstrate that collectively migrating epithelia feature both nematic (i.e. p=2) and hexatic (i.e. p=6) order, with the former being dominant at large and the latter at small length scales. Such a remarkable multiscale liquid crystal order leaves a distinct signature in the system's structure factor, which exhibits two different power law scaling regimes, reflecting both the hexagonal geometry of small cells clusters, as well as the uniaxial structure of the global cellular flow. We support these analytical predictions with two different cell-resolved models of epithelia -- i.e. the self-propelled Voronoi model and the multiphase field model -- and highlight how momentum dissipation and noise influence the range of fluctuations at small length scales, thereby affecting the degree of cooperativity between cells. Our construction provides a theoretical framework to conceptualize the recent observation of multiscale order in layers of Madin-Darby canine kidney cells and pave the way for further theoretical developments.