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Experimental studies have demonstrated that spermatozoa synchronize their flagella when swimming in close proximity. In a Newtonian fluid, it was shown theoretically that such synchronization arises passively due to hydrodynamic forces…

Fluid Dynamics · Physics 2010-05-02 Gwynn J. Elfring , On Shun Pak , Eric Lauga

Some microorganisms, such as spermatozoa, synchronize their flagella when swimming in close proximity. Using a simplified model (two infinite, parallel, two-dimensional waving sheets), we show that phase-locking arises from hydrodynamics…

Biological Physics · Physics 2009-09-15 Gwynn J. Elfring , Eric Lauga

Spermatozoa flagella are known to synchronize when swimming in close proximity. We use a model consisting of two-dimensional sheets propagating transverse waves of displacement to demonstrate that fluid forces lead to such synchronization…

Fluid Dynamics · Physics 2011-08-30 Gwynn J. Elfring , Eric Lauga

In a recent letter (Friedrich et al., Phys. Rev. Lett. 109:138102, 2012), a minimal model swimmer was proposed that propels itself at low Reynolds numbers by a revolving motion of a pair of spheres. The motion of the two spheres can…

Cell Behavior · Quantitative Biology 2015-06-12 Katja Polotzek , Benjamin M. Friedrich

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

Synchronization of two actuated sheets serves as a simple model for the interaction between flagellated microswimmers. Various factors, including inertia, sheet elasticity, and fluid viscoelasticity, have been suggested to facilitate the…

Fluid Dynamics · Physics 2021-05-05 Chaojie Mo , Dmitry A. Fedosov

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

Using a geometric feedback model of the flagellar axoneme accounting for dynein motor kinetics, we study elastohydrodynamic phase synchronization in a pair of spontaneously beating filaments with waveforms ranging from sperm to cilia and…

Fluid Dynamics · Physics 2019-11-20 Brato Chakrabarti , David Saintillan

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

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

Synchronization of actively oscillating organelles such as cilia and flagella facilitates self-propulsion of cells and pumping fluid in low Reynolds number environments. To understand the key mechanism behind synchronization induced by…

Soft Condensed Matter · Physics 2015-05-20 Nariya Uchida , Ramin Golestanian

We investigate synchronization and metachronal-wave formation in a one-dimensional array of eukaryotic flagella using an elastohydrodynamic model. In contrast to a two-flagellum system, where only in-phase synchronization is stable, larger…

Adaptation and Self-Organizing Systems · Physics 2026-05-19 Yukinori Wakahara , Nariya Uchida

The unicellular green algae Chlamydomonas swims with two flagella, which can synchronize their beat. Synchronized beating is required to swim both fast and straight. A long-standing hypothesis proposes that synchronization of flagella…

Cell Behavior · Quantitative Biology 2013-11-26 Veikko Geyer , Frank Jülicher , Jonathon Howard , Benjamin M Friedrich

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

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

Microorganisms are rarely found in Nature swimming freely in an unbounded fluid. Instead, they typically encounter other organisms, hard walls, or deformable boundaries such as free interfaces or membranes. Hydrodynamic interactions between…

Fluid Dynamics · Physics 2013-10-21 Marcelo A. Dias , Thomas R. Powers

To rotate continuously without jamming, the flagellar filaments of bacteria need to be locked in phase. While several models have been proposed for eukaryotic flagella, the synchronization of bacterial flagella is less well understood.…

Soft Condensed Matter · Physics 2022-05-27 Maria Tătulea-Codrean , Eric Lauga

Eukaryotic swimming cells such as spermatozoa, algae or protozoa use flagella or cilia to move in viscous fluids. The motion of their flexible appendages in the surrounding fluid induces propulsive forces that balance with the viscous drag…

Soft Condensed Matter · Physics 2023-10-06 Maciej Lisicki , Marcos F. Velho Rodrigues , Eric Lauga

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

The hydrodynamics of a flagellated microorganism is investigated when swimming close to a planar free-slip surface by means of numerical solu- tions of the Stokes equations obtained via a Boundary Element Method. Depending on the initial…

Fluid Dynamics · Physics 2017-03-31 Daniela Pimponi , Mauro Chinappi , Paolo Gualtieri , Carlo Massimo Casciola
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