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arXiv 1901.04763cond-mat.softphysics.bio-ph
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融合细胞单层运动模式的致密活性物质模型

Dense active matter model of motion patterns in confluent cell monolayers

Silke Henkes, Kaja Kostanjevec, J. Martin Collinson, Rastko Sknepnek, Eric Bertin

摘要:

上皮细胞单层显示出显着的位移和速度的相关性超过10个或更多的细胞大小的距离,让人想起过冷液体和活性向列相。我们发现,许多观察到的功能可以在密集的活性物质的框架内进行描述,并认为,持久的不协调的细胞运动耦合到集体弹性模式的细胞片是足以产生漩涡状的相关性。我们得到这一结果,使用连续主动线弹性和正常模式的形式主义,并验证分析预测与数值模拟的两个代理为基础的细胞模型,软弹性颗粒和自推进Voronoi模型与体外实验的汇合角膜上皮细胞片。当组织水平的重组发生的时间长于细胞运动的持续时间时,模拟和正常模式分析完全匹配。我们的分析模型将十多年来测量的速度关联函数与单个拟合参数定量匹配。

英文摘要:

Epithelial cell monolayers show remarkable displacement and velocity correlations over distances of ten or more cell sizes that are reminiscent of supercooled liquids and active nematics. We show that many observed features can be described within the framework of dense active matter, and argue that persistent uncoordinated cell motility coupled to the collective elastic modes of the cell sheet is sufficient to produce swirl-like correlations. We obtain this result using both continuum active linear elasticity and a normal modes formalism, and validate analytical predictions with numerical simulations of two agent-based cell models, soft elastic particles and the self-propelled Voronoi model together with in-vitro experiments of confluent corneal epithelial cell sheets. Simulations and normal mode analysis perfectly match when tissue-level reorganisation occurs on times longer than the persistence time of cell motility. Our analytical model quantitatively matches measured velocity correlation functions over more than a decade with a single fitting parameter.

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