论文标题
拓扑过渡，湍流样运动和由生物组织中细胞分裂驱动的长期尾巴
Topological transitions, turbulent-like motion and long-time-tails driven by cell division in biological tissues
论文作者
论文摘要
由活性力驱动的活组织中复杂的时空流动模式具有许多与惯性湍流相关的特征，即使雷诺数非常低。对二维上皮单层的实验数据的分析与基于代理的模拟结合使用，表明细胞分裂和凋亡导致细胞运动几个小时，从而导致相邻细胞的快速拓扑过渡。这些转变又产生了长期范围和长期播种的顺时针和逆时针旋转，从而产生了湍流的流动。实验和模拟都表明，在长波长中，波矢量（$ k $）依赖的能量光谱$ e（k）\ of k^{ - 5/3} $，与kolmogorov缩放的缩放完全惯性湍流。使用理论参数和仿真，我们表明长寿涡流导致速度自动相关函数的长期尾巴，$ c_v（t）\ sim t^{ - 1/2} $，其结构与经典2D流体相同，但具有不同的尺度指数。
The complex spatiotemporal flow patterns in living tissues, driven by active forces, have many of the characteristics associated with inertial turbulence even though the Reynolds number is extremely low. Analyses of experimental data from two-dimensional epithelial monolayers in combination with agent-based simulations show that cell division and apoptosis lead to directed cell motion for hours, resulting in rapid topological transitions in neighboring cells. These transitions in turn generate both long ranged and long lived clockwise and anticlockwise vortices, which gives rise to turbulent-like flows. Both experiments and simulations show that at long wavelengths the wave vector ($k$) dependent energy spectrum $E(k) \approx k^{-5/3}$, coinciding with the Kolmogorov scaling in fully developed inertial turbulence. Using theoretical arguments and simulations, we show that long-lived vortices lead to long-time tails in the velocity auto-correlation function, $C_v(t) \sim t^{-1/2}$, which has the same structure as in classical 2D fluids but with a different scaling exponent.
