论文标题
纤毛地毯中的同步：多个基本波是稳定的，但一波占主导地位
Synchronization in cilia carpets: multiple metachronal waves are stable, but one wave dominates
论文作者
论文摘要
主动弯曲纤毛的地毯代表了可以表现出以纤毛相的流动波的形式表现出自组织的下部同步的生物振荡器的阵列。据说，这种过渡协调可以增强纤毛地毯的流体运输。使用通过实验性纤毛节拍模式校准的多尺度模型，我们预测波模式的多稳定性。然而，与右旋波相对应的单个模式具有主要的灌注盆地。与“动态”的Mermin-Wagner定理类似，放松时间与系统大小相差，这排除了无限系统中的全球顺序。在有限的系统中，我们使用广义的库拉莫托订单参数将同步转变表征为淬火频率障碍的函数。我们称为活跃系统的拉格朗日力学的框架可以预测给定的节拍模式的基质同步的方向和稳定性。
Carpets of actively bending cilia represent arrays of biological oscillators that can exhibit self-organized metachronal synchronization in the form of traveling waves of cilia phase. This metachronal coordination supposedly enhances fluid transport by cilia carpets. Using a multi-scale model calibrated by an experimental cilia beat pattern, we predict multi-stability of wave modes. Yet, a single mode, corresponding to a dexioplectic wave, has predominant basin-of-attraction. Similar to a "dynamic" Mermin-Wagner theorem, relaxation times diverge with system size, which rules out global order in infinite systems. In finite systems, we characterize the synchronization transition as function of quenched frequency disorder, using generalized Kuramoto order parameters. Our framework termed Lagrangian Mechanics of Active Systems allows to predict the direction and stability of metachronal synchronization for given beat patterns.
