论文标题

活性微丝中的多合同

Multisynchrony in active microfilaments

论文作者

Man, Yi, Kanso, Eva

论文摘要

生物微丝显示各种同步模式。最近的实验观察到,仅通过流体培养基耦合的一对孤立的真核鞭毛,除了同相和反相同步外,在非平凡的相位滞后显示同步。使用弹性流动力丝模型与数值模拟和浮力型理论分析结合使用,我们证明,可以通过改变细丝的内在活性和两个丝之间的水动力耦合的强度来达到多个同步状态。然后,我们得出了弱耦合时两个细丝之间相位差的进化方程,并使用库拉莫托式相位灵敏度分析来揭示这些不同同步状态之间过渡的分叉性质。

Biological microfilaments exhibit a variety of synchronization modes. Recent experiments observed that a pair of isolated eukaryotic flagella, coupled solely via the fluid medium, display synchrony at nontrivial phase-lags in addition to in-phase and anti-phase synchrony. Using an elasto-hydrodynamic filament model in conjunction with numerical simulations and a Floquet-type theoretical analysis, we demonstrate that it is possible to reach multiple synchronization states by varying the intrinsic activity of the filament and the strength of hydrodynamic coupling between the two filaments. We then derive an evolution equation for the phase difference between the two filaments at weak-coupling, and use a Kuramoto-style phase sensitivity analysis to reveal the nature of the bifurcations underlying the transitions between these different synchronized states.

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