具有锚定的活动模型C中的斑图形成：带、星形网络和泡沫
Pattern formation in active model C with anchoring: bands, aster networks, and foams
摘要：
我们研究了由微管和分子马达组成的活性混合物的极小模型中斑图形成的动力学。我们监测的（保守）微管密度和（非保守）的有序序参量的演变，专注于一个“锚定”项，提供了一个直接的耦合之间的首选微管方向和它们的密度梯度的影响。关键控制参数是活性与弹性之比。当弹性占主导地位时，活动和锚定之间的相互作用导致带状结构的形成，这些带状结构可以经历额外的弯曲或旋转不稳定性。当活性占主导地位时，锚定的性质反而会产生一系列活性细胞固体，包括紫菀状网络，无序泡沫和纺锤状图案。我们推测，引入的“活性模型C”锚定是一个极小模型来描述斑图形成的微管细胞骨架的仿生类似物。
英文摘要：
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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