论文标题

二维和三维主动命名的活性梯度

Activity gradients in two- and three-dimensional active nematics

论文作者

Ruske, Liam J, Yeomans, Julia M

论文摘要

我们从数值上研究了在两个维度和三个维度上的大量或收缩活性应力的空间变化如何影响大量的主动列系统。在没有缺陷的情况下,活性梯度驱动流动,从而重新定位了列型董事场,从而充当有效的锚定力。在高活性下,会产生缺陷,并将系统转变为主动湍流,这是一种以强涡度为特征的混乱流量。我们发现,在二维(2D)系统中,Active Torques坚固地对齐$+1/2 $平行于活动梯度的缺陷,缺陷头指向收缩区域。在三维(3D)主动命名披露线中,优先位于垂直于活性梯度的平面上,这是由于作用在线段上的活性扭矩。平面垂直于线切线的缺陷结构的平均方向取决于缺陷类型,其中类似楔形的$+1/2 $缺陷平行于活动梯度对齐,而扭曲缺陷是对齐的,反平行。了解活性列液对活性梯度的反应是将物理理论应用于生物学的重要步骤,在这种情况下,活动应激的空间变化会影响形态发生过程在发展胚胎并影响肿瘤等细胞聚集体中的流量和变形。

We numerically investigate how spatial variations of extensile or contractile active stress affect bulk active nematic systems in two and three dimensions. In the absence of defects, activity gradients drive flows which re-orient the nematic director field and thus act as an effective anchoring force. At high activity, defects are created and the system transitions into active turbulence, a chaotic flow state characterized by strong vorticity. We find that in two-dimensional (2D) systems active torques robustly align $+1/2$ defects parallel to activity gradients, with defect heads pointing towards contractile regions. In three-dimensional (3D) active nematics disclination lines preferentially lie in the plane perpendicular to activity gradients due to active torques acting on line segments. The average orientation of the defect structures in the plane perpendicular to the line tangent depends on the defect type, where wedge-like $+1/2$ defects align parallel to activity gradients, while twist defects are aligned anti-parallel. Understanding the response of active nematic fluids to activity gradients is an important step towards applying physical theories to biology, where spatial variations of active stress impact morphogenetic processes in developing embryos and affect flows and deformations in growing cell aggregates, such as tumours.

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