TY - JOUR
T1 - Asymmetry in cilia configuration induces hydrodynamic phase locking
AU - Okumura, Keiji
AU - Nishikawa, Seiya
AU - Omori, Toshihiro
AU - Ishikawa, Takuji
AU - Takamatsu, Atsuko
N1 - Funding Information:
The authors thank Prof. Hamada (RIKEN) and Prof. Shinohara (Tokyo University of Agriculture and Technology) for valuable discussions. This work was supported by CREST, Japan Science and Technology Agency.
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/3/20
Y1 - 2018/3/20
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevE.97.032411
DO - 10.1103/PhysRevE.97.032411
M3 - Article
C2 - 29776148
AN - SCOPUS:85044414253
VL - 97
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 3
M1 - 032411
ER -