论文标题

无序的生物聚合物细丝束:拓扑缺陷和扭结

Disordered biopolymer filament bundles: Topological defects and kinks

论文作者

Slepukhin, Valentin M., Grill, Maximilian J., Hu, Qingda, Botvinick, Elliot L., Wall, Wolfgang A., Levine, Alex J.

论文摘要

僵硬的细丝在生活世界中无处不在,在细胞骨架和细胞外培养基中发现。这些束通常由较小的交联分子固定在一起。我们在分析,数值和实验上证明可以扭结此类束,即具有长期寿命可稳态状态的高曲率的局部局部区域。我们提出了三种可能的扭结稳定机制:两个交叉链路之间细丝段的陷阱长度的差异;束束内出现细丝的端点的位错,以及束中的细丝的编织。在高浓度的交叉联系下,最后两个效应导致了受拓扑保护的扭结状态。最后,我们在数值和分析上探索了亚稳态扭结状态向稳定的直束的过渡。

Bundles of stiff filaments are ubiquitous in the living world, found both in the cytoskeleton and in the extracellular medium. These bundles are typically held together by smaller cross-linking molecules. We demonstrate analytically, numerically and experimentally that such bundles can be kinked, i.e., have localized regions of high curvature that are long-lived metastable states. We propose three possible mechanisms of kink stabilization: a difference in trapped length of the filament segments between two cross links; a dislocation where the endpoint of a filament occurs within the bundle, and the braiding of the filaments in the bundle. At a high concentration of cross links, the last two effects lead to the topologically protected kinked states. Finally, we explore numerically and analytically the transition of the metastable kinked state to the stable straight bundle.

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