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增殖杆系统中的有序性、间歇性和压力波动。

Order, intermittency, and pressure fluctuations in a system of proliferating rods.

作者信息

Orozco-Fuentes Sirio, Boyer Denis

机构信息

Instituto de Física, Universidad Nacional Autónoma de México, Distrito Federal 04510, México.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jul;88(1):012715. doi: 10.1103/PhysRevE.88.012715. Epub 2013 Jul 15.

Abstract

Nonmotile elongated bacteria confined in two-dimensional open microchannels can exhibit collective motion and form dense monolayers with nematic order if the cells proliferate, i.e., grow and divide. Using soft molecular dynamics simulations of a system of rods interacting through short range mechanical forces, we study the effects of the cell growth rate, the cell aspect ratio, and the sliding friction on nematic ordering and on pressure fluctuations in confined environments. Our results indicate that rods with aspect ratios >3.0 reach quasiperfect nematic states at low sliding friction. At higher frictions, the global nematic order parameter shows intermittent fluctuations due to sudden losses of order and the time intervals between these bursts are power-law distributed. The pressure transverse to the channel axis can vary abruptly in time and shows hysteresis due to lateral crowding effects. The longitudinal pressure field is on average correlated to nematic order, but it is locally very heterogeneous and its distribution follows an inverse power law, in sharp contrast with nonactive granular systems. We discuss some implications of these findings for tissue growth.

摘要

如果细胞增殖(即生长和分裂),二维开放微通道中受限的非游动细长细菌可以表现出集体运动并形成具有向列序的致密单层。通过对通过短程机械力相互作用的棒状系统进行软分子动力学模拟,我们研究了细胞生长速率、细胞纵横比和滑动摩擦对受限环境中向列序和压力波动的影响。我们的结果表明,纵横比大于3.0的棒状在低滑动摩擦下达到准完美向列态。在较高的摩擦下,由于向列序的突然丧失,全局向列序参数会出现间歇性波动,且这些突发之间的时间间隔呈幂律分布。垂直于通道轴的压力会随时间突然变化,并由于横向拥挤效应而呈现滞后现象。纵向压力场平均与向列序相关,但局部非常不均匀,其分布遵循反幂律,这与非活性颗粒系统形成鲜明对比。我们讨论了这些发现对组织生长的一些影响。

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