期刊
JOURNAL OF FLUID MECHANICS
卷 836, 期 -, 页码 304-323出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2017.816
关键词
biological fluid dynamics; low-Reynolds-number flows; nonlinear dynamical systems
资金
- Army Research Office through the ARO [W911NF-16-1-0074]
- National Science Foundation through the NSF INSPIRE [170731]
- NSF [DMR-1420073, DMS-1463962, DMS-1620331, DMS-1043626]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1043626] Funding Source: National Science Foundation
Cilia and flagella are essential building blocks for biological fluid transport and locomotion at the micrometre scale. They often beat in synchrony and may transition between different synchronization modes in the same cell type. Here, we investigate the behaviour of elastic microfilaments, protruding from a surface and driven at their base by a configuration-dependent torque. We consider full hydrodynamic interactions among and within filaments and no slip at the surface. Isolated filaments exhibit periodic deformations, with increasing waviness and frequency as the magnitude of the driving torque increases. Two nearby but independently driven filaments synchronize their beating in-phase or anti-phase. This synchrony arises autonomously via the interplay between hydrodynamic coupling and filament elasticity. Importantly, in-phase and anti-phase synchronization modes are bistable and coexist for a range of driving torques and separation distances. These findings are consistent with experimental observations of in-phase and anti-phase synchronization in pairs of cilia and flagella and could have important implications on understanding the biophysical mechanisms underlying transitions between multiple synchronization modes.
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