Okumura Keiji, Nishikawa Seiya, Omori Toshihiro, Ishikawa Takuji, Takamatsu Atsuko
Department of Electrical Engineering and Bioscience, Waseda University, Sinjuku-ku, Tokyo 169-8555, Japan.
Department of Finemechanics, Tohoku University, Sendai, Miyagi 980-8579, Japan.
Phys Rev E. 2018 Mar;97(3-1):032411. doi: 10.1103/PhysRevE.97.032411.
To gain insight into the nature of biological synchronization at the microscopic scale, we here investigate the hydrodynamic synchronization between conically rotating objects termed nodal cilia. A mechanical model of three rotating cilia is proposed with consideration of variation in their shapes and geometrical arrangement. We conduct numerical estimations of both near-field and far-field hydrodynamic interactions, and we apply a conventional averaging method for weakly coupled oscillators. In the nonidentical case, the three cilia showed stable locked-phase differences around ±π/2. However, such phase locking also occurred with three identical cilia when allocated in a triangle except for the equilateral triangle. The effects of inhomogeneity in cilia shapes and geometrical arrangement on such asymmetric interaction is discussed to understand the role of biological variation in synchronization via hydrodynamic interactions.
为了深入了解微观尺度下生物同步的本质，我们在此研究被称为节点纤毛的锥形旋转物体之间的流体动力学同步。考虑到它们形状和几何排列的变化，提出了三个旋转纤毛的力学模型。我们对近场和远场流体动力学相互作用进行了数值估计，并对弱耦合振荡器应用了传统的平均方法。在非相同的情况下，三个纤毛在±π/2左右表现出稳定的锁定相位差。然而，当三个相同的纤毛以三角形（等边三角形除外）排列时，也会出现这种相位锁定。讨论了纤毛形状和几何排列的不均匀性对这种不对称相互作用的影响，以了解生物变异在通过流体动力学相互作用实现同步中的作用。
