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We present a theory of flagellar synchronization in the green alga Chlamydomonas, using full treatment of flagellar hydrodynamics. We find that two recently proposed synchronization mechanisms, basal coupling and flagellar waveform…

Cell Behavior · Quantitative Biology 2018-01-17 G. S. Klindt , C. Ruloff , C. Wagner , B. M. Friedrich

Many active biological particles, such as swimming microorganisms or motor-proteins, do work on their environment by going though a periodic sequence of shapes. Interactions between particles can lead to the phase-synchronization of their…

Soft Condensed Matter · Physics 2022-07-26 Brato Chakrabarti , Michael J. Shelley , Sebastian Fürthauer

In addition to conventional planar and helical flagellar waves, insect sperm flagella have also been observed to display a double-wave structure characterized by the presence of two superimposed helical waves. In this paper, we present a…

Fluid Dynamics · Physics 2012-12-18 On Shun Pak , Saverio E. Spagnolie , Eric Lauga

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

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

Inspired by dense contractile tissues, where cells are subject to periodic deformation, we formulate and study a generic hydrodynamic theory of pulsating active liquids. Combining mechanical and phenomenological arguments, we postulate that…

Soft Condensed Matter · Physics 2025-09-25 Tirthankar Banerjee , Thibault Desaleux , Jonas Ranft , Étienne Fodor

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

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

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 show that spontaneous density segregation in dense systems of aligning circle swimmers is a condensation phenomenon at odds with the phase separation scenarios usually observed in two-dimensional active matter. The condensates, which…

Soft Condensed Matter · Physics 2024-12-20 Yujia Wang , Bruno Ventéjou , Hugues Chaté , Xia-qing Shi

We theoretically describe the dynamics of swimmer populations confined in thin liquid films. We first demonstrate that hydrodynamic interactions between confined swimmers only depend on their shape and are independent of their specific…

Soft Condensed Matter · Physics 2015-06-11 Tommaso Brotto , Jean-Baptiste Caussin , Eric Lauga , Denis Bartolo

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

The nature of emergent collective behaviors of moving physical agents interacting with their neighborhood is a long-standing open issue in physical and biological systems alike. This calls for studies on the control of synchronization and…

Statistical Mechanics · Physics 2017-08-11 Tirthankar Banerjee , Abhik Basu

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

We investigated self-sustained oscillation in a collapsible channel, in which a part of one rigid wall is replaced by a thin elastic wall, and synchronization phenomena in the two channels connected in parallel. We performed a…

Adaptation and Self-Organizing Systems · Physics 2024-05-08 Yuki Araya , Hiroaki Ito , Hiroyuki Kitahata

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

We study the effect of a nearby planar wall on the propulsion of a spherical phoretic micro-swimmer driven by reactions on its surface. An asymmetric coverage of catalysts on its surface which absorb reactants and generate products gives…

Soft Condensed Matter · Physics 2017-06-08 Yahaya Ibrahim , Tanniemola B. Liverpool

Cells swimming in confined environments are attracted by surfaces. We measure the steady-state distribution of smooth-swimming bacteria (Escherichia coli) between two glass plates. In agreement with earlier studies, we find a strong…

Soft Condensed Matter · Physics 2008-10-02 Allison P. Berke , Linda Turner , Howard C. Berg , Eric Lauga

Beating flagella exhibit a variety of synchronization modes. This synchrony has long been attributed to hydrodynamic coupling between the flagella. However, recent work with flagellated algae indicates that a mechanism internal to the cell,…

Biological Physics · Physics 2020-11-18 Hanliang Guo , Yi Man , Kirsty Y. Wan , Eva Kanso

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