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We define a model microswimmer with a variable cycle time, thus allowing the possibility of phase locking driven by hydrodynamic interactions between swimmers. We find that, for extensile or contractile swimmers, phase locking does occur,…

Soft Condensed Matter · Physics 2015-05-13 Victor B. Putz , Julia M. Yeomans

We study theoretically the behavior of a class of hydrodynamic dipoles. This study is motivated by recent experiments on synthetic and biological swimmers in microfluidic \textit{Hele-Shaw} type geometries. Under such confinement, a…

Fluid Dynamics · Physics 2015-09-30 Eva Kanso , Alan Tsang

The basic phenomenology of experimentally observed synchronization (i.e., a stochastic phase locking) of identical, beating flagella of a biflagellate alga is known to be captured well by a minimal model describing the dynamics of coupled,…

Soft Condensed Matter · Physics 2019-02-28 V. Dotsenko , A. Maciolek , G. Oshanin , O. A. Vasilyev , S. Dietrich

We present a new hydrodynamic model for synchronization phenomena which is a type of pressureless Euler system with nonlocal interaction forces. This system can be formally derived from the Kuramoto model with inertia, which is a classical…

Analysis of PDEs · Mathematics 2019-05-22 Young-Pil Choi , Jaeseung Lee

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

We investigate synchronization caused by long-range hydrodynamic interaction in a two-dimensional, substrated array of rotors with random intrinsic frequencies. The rotor mimics a flagellated bacterium that is attached to the substrate…

Statistical Mechanics · Physics 2010-03-30 Nariya Uchida , Ramin Golestanian

Non-equilibrium processes which convert chemical energy into mechanical motion enable the motility of organisms. Bundles of inextensible filaments driven by energy transduction of molecular motors form essential components of micron-scale…

Soft Condensed Matter · Physics 2013-06-13 Abhrajit Laskar , Rajeev Singh , Somdeb Ghose , Gayathri Jayaraman , P. B. Sunil Kumar , R. Adhikari

Hydrodynamic interactions (HIs) are important in biophysics research because they influence both the collective and the individual behaviour of microorganisms and self-propelled particles. For instance, HIs at the micro-swimmer level…

Fluid Dynamics · Physics 2022-03-30 Maria Tătulea-Codrean , Eric Lauga

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

The physical basis of flagellar and ciliary beating is a major problem in biology which is still far from completely understood. The fundamental cytoskeleton structure of cilia and flagella is the axoneme, a cylindrical array of microtubule…

Biological Physics · Physics 2017-03-10 David Oriola , Hermes Gadêlha , Jaume Casademunt

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,…

Cell Behavior · Quantitative Biology 2016-12-21 Gary S. Klindt , Christian Ruloff , Christian Wanger , Benjamin M. Friedrich

Using multiparticle collision dynamics simulations, we investigate the swimming dynamics, orientational behavior, and hydrodynamic interactions of a model swimmer designed to mimic the isolated flagellar apparatus ($FA$) of Chlamydomonas…

Biological Physics · Physics 2025-07-01 Sai Venkata Ramana Ambadipudi , Albert Bae , Azam Gholami

We introduce a phenomenological theory for a new class of soft active fluids, with the ability to synchronise. Our theoretical framework describes the macroscopic behaviour of a collection of interacting anisotropic elements with cyclic…

Soft Condensed Matter · Physics 2015-06-16 M. Leoni , T. B. Liverpool

Spontaneous synchronization of an ensemble of metronomes placed on a freely rotating platform is studied experimentally and by computer simulations. A striking in-phase synchronization is observed when the metronomes' beat frequencies are…

Chaotic Dynamics · Physics 2015-06-11 Szilard Boda , Zoltan Neda , Botond Tyukodi , Arthur Tunyagi

Motile cilia beat in an asymmetric fashion in order to propel the surrounding fluid. When many cilia are located on a surface, their beating can synchronise such that their phases form metachronal waves. Here, we computationally study a…

Soft Condensed Matter · Physics 2023-09-29 David J. Hickey , Ramin Golestanian , Andrej Vilfan

Experiments have shown that during the initial stage of Zebrafish morphogenesis a synchronous to asynchronous transition (SAT) occurs, as the cells divide extremely rapidly. In the synchronous phase, the cells divide in unison unlike in the…

Biological Physics · Physics 2023-12-01 Abdul Malmi-Kakkada , Sumit Sinha , D. Thirumalai

Many swimming microorganisms, such as bacteria and sperm, use flexible flagella to move through viscoelastic media in their natural environments. In this paper we address the effects a viscoelastic fluid has on the motion and beating…

Soft Condensed Matter · Physics 2009-11-13 Henry C. Fu , Charles W. Wolgemuth , Thomas R. Powers

Hydrodynamic coupling of flexible flags in axial flows may profoundly influence their flapping dynamics, in particular driving their synchronization. This work investigates the effect of such coupling on the harvesting efficiency of coupled…

Fluid Dynamics · Physics 2016-09-13 Yifan Xia , Olivier Doare , Sebastien Michelin

The modeling of the beating of cilia and flagella in fluids is a particularly active field of study, given the biological relevance of these organelles. Various mathematical models have been proposed to represent the nonlinear dynamics of…

Soft Condensed Matter · Physics 2024-12-10 Irene Anello , François Alouges , Antonio De Simone

The journey of mammalian spermatozoa in nature is well-known to be reliant on their individual motility. Often swimming in crowded microenvironments, the progress of any single swimmer is likely dependent on their interactions with other…

Fluid Dynamics · Physics 2019-09-11 Benjamin J. Walker , Kenta Ishimoto , Eamonn A. Gaffney