论文标题

带有锚定的活动模型C中的模式形成:频段,星座网络和泡沫

Pattern formation in active model C with anchoring: bands, aster networks, and foams

论文作者

Maryshev, Ivan, Morozov, Alexander, Goryachev, Andrew B., Marenduzzo, Davide

论文摘要

我们研究了由微管和分子电动机制成的活动混合物的最小模型中模式形成的动力学。我们监视(保守的)微管密度和(未保守的)列级参数的演变,重点是“锚定”项的效果,该项提供了首选微管方向与其密度梯度之间的直接耦合。关键控制参数是活动与弹性之间的比率。当弹性占主导地位时,活动与锚定之间的相互作用会导致形成带有额外弯曲或旋转不稳定性的带状结构。当活动占主导地位时,锚定的性质会产生一系列活跃的细胞固体,包括星形般的网络,无序泡沫和纺锤形样式。我们推测带有锚定的“主动模型C”是描述微管细胞骨架的仿生类似物中模式形成的最小模型。

We study the dynamics of pattern formation in a minimal model for active mixtures made of microtubules and molecular motors. We monitor the evolution of the (conserved) microtubule density and of the (non-conserved) nematic order parameter, focusing on the effects of an "anchoring" term that provides a direct coupling between the preferred microtubule direction and their density gradient. The key control parameter is the ratio between activity and elasticity. When elasticity dominates, the interplay between activity and anchoring leads to formation of banded structures that can undergo additional bending or rotational instabilities. When activity dominates, the nature of anchoring instead gives rise to a range of active cellular solids, including aster-like networks, disordered foams and spindle-like patterns. We speculate that the introduced "active model C" with anchoring is a minimal model to describe pattern formation in a biomimetic analogue of the microtubule cytoskeleton.

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