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We investigate the dynamics of membranes that are held by freely-rotating tethers in fluid flows. The tethered boundary condition allows periodic and chaotic oscillatory motions for certain parameter values. We characterize the oscillations…

Fluid Dynamics · Physics 2021-06-16 Christiana Mavroyiakoumou , Silas Alben

Biological microswimmers often encounter deformable boundaries in physiological conditions; for instance, the viscoelastic walls of reproductive tract during migration of spermatozoa, or host tissue during early bacterial biofilm formation.…

Soft Condensed Matter · Physics 2025-08-07 Smita S. Sontakke , Aneesha Kajampady , Mohd Suhail Rizvi , Ranabir Dey

In this paper, we study pairs of oscillators that are indirectly coupled via active (excitable) cells. We introduce a scalar phase model for coupled oscillators and excitable cells. We first show that one excitable and one oscillatory cell…

Dynamical Systems · Mathematics 2019-06-05 Derek Orr , Bard Ermentrout

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

We examine the motion of rigid, ellipsoidal swimmers subjected to a steady vortex flow in two dimensions. Numerical simulations of swimmers in a spatially periodic array of vortices reveal a range of possible behaviors, including trapping…

Chaotic Dynamics · Physics 2020-08-11 S. A. Berman , K. A. Mitchell

Understanding the collective actuation of microscopic structures driven by external fields can lead to the development of next-generation autonomous machines. With this goal in mind, we investigated light-induced collective motion of…

Microswimmers typically operate in complex environments. In biological systems, often diverse species are simultaneously present and interact with each other. Here, we derive a (time-dependent) particle-scale statistical description, namely…

Soft Condensed Matter · Physics 2019-08-13 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

We examine microscopic mechanisms for coupling stochastic oscillators so that they display similar and correlated temporal variations. Unlike oscillatory motion in deterministic dynamical systems, complete synchronization of stochastic…

Quantitative Methods · Quantitative Biology 2009-09-29 Amitabha Nandi , G. Santhosh , R. K. Brojen Singh , Ram Ramaswamy

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 use particle simulations to reveal two distinct propulsion mechanisms for a scallop-like swimmer to locomote itself in granular media by reciprocally flapping its wings. Based on the discrete element method, we examine the kinematics and…

Soft Condensed Matter · Physics 2025-10-28 Amir Nazemi , Hongyi Xiao

We apply the phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows are described in terms of the phase dynamics reducing the high-dimensional fluid flow to its single scalar…

Fluid Dynamics · Physics 2018-05-23 Kunihiko Taira , Hiroya Nakao

Understanding the stochastic dynamics of tracer particles in active fluids is important for identifying the physical properties of flow generating objects such as colloids, bacteria or algae. Here, we study both analytically and numerically…

Soft Condensed Matter · Physics 2010-10-12 Jörn Dunkel , Victor B. Putz , Irwin M. Zaid , Julia M. Yeomans

We address the problem of controlling a dynamical system governing the motion of a 3D weighted shape changing body swimming in a perfect fluid. The rigid displacement of the swimmer results from the exchange of momentum between prescribed…

Optimization and Control · Mathematics 2011-03-30 Thomas Chambrion , Alexandre Munnier

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

We study the dynamics of gyrotactic microswimmers suspended in homogeneous and isotropic turbulence by using direct numerical simulations (DNS). The swimmers are characterized by three non-dimensional parameters: their aspect ratio…

Soft Condensed Matter · Physics 2026-04-24 Suraj Kumar Nayak , Vishwanath Shukla , Akshay Bhatnagar

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

A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of…

Chaotic Dynamics · Physics 2019-07-16 Ivan A. Korneev , Vladimir V. Semenov , Tatiana E. Vadivasova

The locomotion of microorganisms and spermatozoa in complex viscoelastic fluids is of critical importance in many biological processes such as fertilization, infection, and biofilm formation. Depending on their propulsion mechanisms,…

Soft Condensed Matter · Physics 2021-09-14 Gaojin Li , Eric Lauga , Arezoo M. Ardekani

We study the dynamics and interaction of two swimming bacteria, modeled by self-propelled dumbbell-type structures. We focus on alignment dynamics of a coplanar pair of elongated swimmers, which propel themselves either by pushing" or…

Analysis of PDEs · Mathematics 2008-11-24 Vitaliy Gyrya , Igor S. Aranson , Leonid V. Berlyand , Dmitry Karpeev

Swimming cells often have to self-propel through fluids displaying non-Newtonian rheology. While past theoretical work seems to indicate that stresses arising from complex fluids should systematically hinder low-Reynolds number locomotion,…

Biological Physics · Physics 2015-06-30 Yi Man , Eric Lauga