Hydrodynamic synchronization of flagellar oscillators

Friedrich, Benjamin M.

doi:10.1140/epjst/e2016-60056-4

Cited by 35 publications

(43 citation statements)

References 73 publications

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“…The load-response of beating flagella reported here is an essential prerequisite for flagellar synchronization by mechanical coupling, [40], without which hydrodynamic synchronization would be impossible. FR 3429/1-1).…”

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confidence: 83%

Load Response of the Flagellar Beat

et al. 2016

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Cilia and flagella exhibit regular bending waves that perform mechanical work on the surrounding fluid, to propel cellular swimmers and pump fluids inside organisms. Here, we quantify a force-velocity relationship of the beating flagellum, by exposing flagellated Chlamydomonas cells to controlled microfluidic flows. A simple theory of flagellar limit-cycle oscillations, calibrated by measurements in the absence of flow, reproduces this relationship quantitatively. We derive a link between the energy efficiency of the flagellar beat and its ability to synchronize to oscillatory flows.

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confidence: 83%

Load Response of the Flagellar Beat

et al. 2016

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“…Following the general principle that any deviation between the self-propulsion direction of the particle and its symmetry axis couples its translational and rotational degrees of freedom, it has also been possible to design synthetic circle swimmers; examples being L-shaped self-phoretic swimmers [21,22] and actuated colloids allowing to design radius and frequency of circular trajectories on demand. While these synthetic examples have supported the recent boost of interest in chiral active matter, as the recent reviews [23,24] Therefore, following the spirit of formulating minimal models for the collective behaviour of linear active matter, we introduce here the 'rotating Vicsek model ' (RVM) to describe the collective behaviour of polar circle swimmers. This model describes overdamped self-propelled particles changing their direction autonomously with an intrinsic rotation frequency, and with local alignment interactions between circle swimmers (which are typically non-spherical).…”

mentioning

confidence: 99%

“…Following the general principle that any deviation between the self-propulsion direction of the particle and its symmetry axis couples its translational and rotational degrees of freedom, it has also been possible to design synthetic circle swimmers; examples being L-shaped self-phoretic swimmers [21,22] and actuated colloids allowing to design radius and frequency of circular trajectories on demand. While these synthetic examples have supported the recent boost of interest in chiral active matter, as the recent reviews [23,24] reflect, surprisingly little is known about their * Benno.Liebchen@staffmail.ed.ac.uk † levis@ub.edu collective behaviour (exceptions exploring collective behaviour are [25,26]). …”

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confidence: 99%

Collective Behavior of Chiral Active Matter: Pattern Formation and Enhanced Flocking

2017

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We generalize the Vicsek model to describe the collective behaviour of polar circle swimmers with local alignment interactions. While the phase transition leading to collective motion in 2D (flocking) occurs at the same interaction to noise ratio as for linear swimmers, as we show, circular motion enhances the polarization in the ordered phase (enhanced flocking) and induces secondary instabilities leading to structure formation. Slow rotations promote phase separation whereas fast rotations generate patterns consisting of phase synchronized microflocks with a controllable selflimited size. Our results defy the viewpoint that monofrequent rotations form a vapid extension of the Vicsek model and establish a generic route to pattern formation in chiral active matter with possible applications to control coarsening and to design rotating microflocks.Among the most remarkable features of active matter systems is their ability to spontaneously form selfsustained nonequilibrium structures, without requiring external driving. These active structures range from motility-induced phase separation of self-propelled particles into a dense and a dilute phase [1, 2] and clusters of self-limited size [3][4][5][6][7] in isotropic active matter, to long range ordered flocks and travelling bands in 2D polar active matter [8][9][10][11][12]. Despite their phenomenological diversity most of these (and other) activity-induced structures can be observed in a small class of archetypical minimal models allowing to explore their universality. For linear self-propelled particles which change their swimming direction only by diffusion (and alignment interactions), the Active Brownian Particle model and the Vicsek model have become standard models representing isotropic and polar active matter.Besides such linear swimmers, there is now a strong interest in a new class of self-propelled particles which change their direction of motion autonomously. This class of chiral active matter includes a variety of biological circle swimmers, such as E.coli which swim circularly when close to walls and interfaces [13][14][15][16], as well as sperm cells [17,18], and magnetotactic bacteria in rotating external fields [19,20]. Following the general principle that any deviation between the self-propulsion direction of the particle and its symmetry axis couples its translational and rotational degrees of freedom, it has also been possible to design synthetic circle swimmers; examples being L-shaped self-phoretic swimmers [21,22] and actuated colloids allowing to design radius and frequency of circular trajectories on demand. While these synthetic examples have supported the recent boost of interest in chiral active matter, as the recent reviews [23,24] Therefore, following the spirit of formulating minimal models for the collective behaviour of linear active matter, we introduce here the 'rotating Vicsek model ' (RVM) to describe the collective behaviour of polar circle swimmers. This model describes overdamped self-propelled particles changing their dir...

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“…Therefore, various model and biological systems have to be studied in detail. In particular, the impact of swimmer shape, wall effects, effects of the surrounding media, and effects caused by external gravitational or flow fields are presented in several minireviews [14][15][16][17][18][19][20].…”

Section: Collective Behaviourmentioning

confidence: 99%

Microswimmers – From Single Particle Motion to Collective Behavior

Gompper

Bechinger

Herminghaus

et al. 2016

Eur. Phys. J. Spec. Top.

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Abstract. Locomotion of autonomous microswimmers is a fascinating field at the cutting edge of science. It combines the biophysics of selfpropulsion via motor proteins, artificial propulsion mechanisms, swimming strategies at low Reynolds numbers, the hydrodynamic interaction of swimmers, and the collective motion and synchronisation of large numbers of agents. The articles of this Special Issue are based on the lecture notes of an international summer school, which was organized by the DFG Priority Programme 1726 "Microswimmers -From Single Particle Motion to Collective Behaviour" in the fall of 2015. The minireviews provide a broad overview of the field, covering both elementary and advanced material, as well as selected areas from current research.

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Hydrodynamic synchronization of flagellar oscillators

Cited by 35 publications

References 73 publications

Load Response of the Flagellar Beat

Load Response of the Flagellar Beat

Collective Behavior of Chiral Active Matter: Pattern Formation and Enhanced Flocking

Microswimmers – From Single Particle Motion to Collective Behavior

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