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Synchronization induced by long-range hydrodynamic interactions is attracting attention as a candidate mechanism behind coordinated beating of cilia and flagella. Here we consider a minimal model of hydrodynamic synchronization in the low…

Soft Condensed Matter · Physics 2012-11-26 Nariya Uchida , Ramin Golestanian

Motivated by the observed coordination of nearby beating cilia, we use a scale model experiment to show that hydrodynamic interactions can cause synchronization between rotating paddles driven at constant torque in a very viscous fluid.…

Soft Condensed Matter · Physics 2010-05-26 Bian Qian , Hongyuan Jiang , David A. Gagnon , Kenneth S. Breuer , Thomas R. Powers

Some types of bacteria use rotating helical flagella to swim. The motion of such organisms takes place in the regime of low Reynolds numbers where viscous effects dominate and where the dynamics is governed by hydrodynamic interactions.…

Soft Condensed Matter · Physics 2007-05-23 M. Reichert , H. Stark

Hydrodynamic synchronization provides a general mechanism for the spontaneous emergence of coherent beating states in independently driven mesoscopic oscillators. A complete physical picture of those phenomena is of definite importance to…

Soft Condensed Matter · Physics 2014-01-29 Nick Koumakis , Roberto Di Leonardo

Cellular appendages conferring motility, such as flagella or cilia, are known to synchronise their periodic beats. The origin of synchronisation is a combination of long-range hydrodynamic interactions with physical mechanisms allowing the…

Biological Physics · Physics 2021-04-21 Ivan Tanasijević , Eric Lauga

We study synchronization of an array of rotors on a substrate that are coupled by hydrodynamic interaction. The rotors that are modeled by an effective rigid body, are driven by an internal torque and exerts an active force on the…

Soft Condensed Matter · Physics 2010-04-29 Nariya Uchida , Ramin Golestanian

Cilia and flagella in biological systems often show large scale cooperative behaviors such as the synchronization of their beats in "metachronal waves". These are beautiful examples of emergent dynamics in biology, and are essential for…

Soft Condensed Matter · Physics 2016-04-20 Nicolas Bruot , Pietro Cicuta

We survey the theory synchronization in collections of noisy oscillators. This framework is applied to flagellar synchronization by hydrodynamic interactions. The time-reversibility of hydrodynamics at low Reynolds numbers prompts swimming…

Cell Behavior · Quantitative Biology 2016-11-23 B. M. Friedrich

Despite evidence for a hydrodynamic origin of flagellar synchronization between different eukaryotic cells, recent experiments have shown that in single multi-flagellated organisms, coordination hinges instead on direct basal body…

Biological Physics · Physics 2018-10-12 Yujie Liu , Rory Claydon , Marco Polin , Douglas R. Brumley

While hydrodynamic coupling has long been considered essential for synchronisation of eukaryotic flagella, recent experiments on the unicellular biflagellate model organism {\it Chlamydomonas} demonstrate that -- at the single cell level --…

Biological Physics · Physics 2025-04-04 Luc Zorrilla , Antoine Allard , Krish Desai , Marco Polin

Synchronisation is often observed in the swimming of flagellated cells, either for multiple appendages on the same organism or between the flagella of nearby cells. Beating cilia are also seen to synchronise their dynamics. In 1951, Taylor…

Biological Physics · Physics 2021-04-28 Weida Liao , Eric Lauga

Microscale fluid flows generated by ensembles of beating eukaryotic flagella are crucial to fundamental processes such as development, motility and sensing. Despite significant experimental and theoretical progress, the underlying physical…

Soft Condensed Matter · Physics 2014-03-11 Douglas R. Brumley , Kirsty Y. Wan , Marco Polin , Raymond E. Goldstein

We introduce a generic model of weakly non-linear self-sustained oscillator as a simplified tool to study synchronisation in a fluid at low Reynolds number. By averaging over the fast degrees of freedom, we examine the effect of…

Soft Condensed Matter · Physics 2015-06-04 M. Leoni , T. B. Liverpool

We calculate the hydrodynamic flow field generated far from a cilium which is attached to a surface and beats periodically. In the case of two beating cilia, hydrodynamic interactions can lead to synchronization of the cilia, which are…

Biological Physics · Physics 2007-05-23 Andrej Vilfan , Frank Julicher

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…

Soft Condensed Matter · Physics 2018-03-28 Keiji Okumura , Seiya Nishikawa , Toshihiro Omori , Takuji Ishikawa , Atsuko Takamatsu

It is now well established that nearby beating pairs of eukaryotic flagella or cilia typically synchronize in phase. A substantial body of evidence supports the hypothesis that hydrodynamic coupling between the active filaments, combined…

Soft Condensed Matter · Physics 2016-10-12 Raymond E. Goldstein , Eric Lauga , Adriana I. Pesci , Michael R. E. Proctor

Cilia and flagella often exhibit synchronized behavior; this includes phase locking, as seen in {\it Chlamydomonas}, and metachronal wave formation in the respiratory cilia of higher organisms. Since the observations by Gray and Rothschild…

Soft Condensed Matter · Physics 2016-05-19 Kirsty Y. Wan , Raymond E. Goldstein

A system of active colloidal particles driven by harmonic potentials to oscillate about the vertices of a regular polygon, with hydrodynamic coupling between all particles, is described by a piece-wise linear model which exhibits various…

Statistical Mechanics · Physics 2013-05-30 Giovanni M. Cicuta , Enrico Onofri , Marco Cosentino Lagomarsino , Pietro Cicuta

Cilia and flagella are essential building blocks for biological fluid transport and locomotion at the micron scale. They often beat in synchrony and may transition between different synchronization modes in the same cell type. Here, we…

Fluid Dynamics · Physics 2018-02-14 Hanliang Guo , Lisa Fauci , Michael Shelley , Eva Kanso

Hydrodynamic interactions can generate rich emergent structures in active matter systems. Using large-scale hydrodynamic simulations, we demonstrate that hydrodynamic coupling alone can drive spontaneous self-organization across a hierarchy…

Soft Condensed Matter · Physics 2025-11-17 Zaiyi Shen , Leilei Wang , Shishuang Zhang , Chenlu Li , Kaili Xie , Xu Zheng , Juho S. Lintuvuori
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