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In swimming microorganisms and the cell cytoskeleton, inextensible fibers resist bending and twisting, and interact with the surrounding fluid to cause or resist large-scale fluid motion. In this paper, we develop a novel numerical method…

Numerical Analysis · Mathematics 2022-04-11 Ondrej Maxian , Brennan Sprinkle , Charles S. Peskin , Aleksandar Donev

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

In this work it is shown how the immersed boundary method of (Peskin2002) for modeling flexible structures immersed in a fluid can be extended to include thermal fluctuations. A stochastic numerical method is proposed which deals with…

Soft Condensed Matter · Physics 2023-02-28 P. J. Atzberger , P. R. Kramer , C. S. Peskin

The motility of microorganisms is influenced greatly by their hydrodynamic interactions with the fluidic environment they inhabit. We show by direct experimental observation of the bi-flagellated alga Chlamydomonas reinhardtii that fluid…

Biological Physics · Physics 2015-11-03 Boyang Qin , Arvind Gopinath , Jing Yang , Jerry P Gollub , Paulo E Arratia

We are concerned with the dynamical description of the motion of a stochastic micro-swimmer with constant speed and fluctuating orientation in the long time limit by adiabatic elimination of the orientational variable. Starting with the…

Statistical Mechanics · Physics 2017-08-02 S. Milster , J. Noetel , I. M. Sokolov , L. Schimansky-Geier

Symmetry breaking is essential for biological microswimmers to achieve locomotion in viscous environments. Such asymmetry in the swimming mechanism enables the generation of directional forces that overcome fluid resistance, leading to…

Fluid Dynamics · Physics 2025-12-29 Anupriya Dutta Roy , Smita S. Sontakke , Arvind Kumar , Ranabir Dey , Anupam Gupta

Many cells exploit the bending or rotation of flagellar filaments in order to self-propel in viscous fluids. While appropriate theoretical modelling is available to capture flagella locomotion in simple, Newtonian fluids, formidable…

Biological Physics · Physics 2017-08-02 Emily E. Riley , Eric Lauga

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…

The measurement of a quantitative and macroscopic parameter to estimate the global motility of a large population of swimming biological cells is a challenge Experiments on the rheology of active suspensions have been performed. Effective…

Soft Condensed Matter · Physics 2014-12-12 Salima Rafai , Levan Jibuti , Philippe Peyla

We study different types of microswimmers moving in channels with varying cross section and thereby interacting hydrodynamically with the channel walls. Starting from the Smoluchowski equation for a dilute suspension, for which interactions…

Soft Condensed Matter · Physics 2017-05-24 Paolo Malgaretti , Holger Stark

Microswimmers in nature often experience spatial gradients of viscosity. In this work we develop theoretical results for the dynamics of active particles, biological or otherwise, swimming through viscosity gradients. We model the active…

Fluid Dynamics · Physics 2019-10-16 Charu Datt , Gwynn J. Elfring

Micro-swimmer locomotion in heterogeneous media is increasingly relevant in biological physics due to the prevalence of microorganisms in complex environments. A model for such porous media is the Brinkman fluid which accounts for a sparse…

Fluid Dynamics · Physics 2026-02-05 Francisca Guzman-Lastra , Enkeleida Lushi

Actuating periodically an elastic filament in a viscous liquid generally breaks the constraints of Purcell's scallop theorem, resulting in the generation of a net propulsive force. This observation suggests a method to design simple…

Soft Condensed Matter · Physics 2009-09-29 Eric Lauga

In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes…

Probability · Mathematics 2025-11-18 Alexandru Hening , Nguyen T. Hieu , Dang H. Nguyen , Nhu Nguyen

We present a novel approach to investigate the long-time stochastic dynamics of multi-dimensional classical systems, in contact with a heat-bath. When the potential energy landscape is rugged, the kinetics displays a decoupling of short and…

Soft Condensed Matter · Physics 2013-05-29 O. Corradini , P. Faccioli , H. Orland

The acoustofluidic method holds great promise for manipulating microorganisms. When exposed to the steady vortex structures of acoustic streaming flow, these microorganisms exhibit intriguing dynamic behaviors, such as hydrodynamic trapping…

Fluid Dynamics · Physics 2025-04-25 Xuyang Sun , Wenchang Tan , Yi Man

We present a new development of the force-coupling method (FCM) to address the accurate simulation of a large number of interacting micro-swimmers. Our approach is based on the squirmer model, which we adapt to the FCM framework, resulting…

Soft Condensed Matter · Physics 2015-12-21 Blaise Delmotte , Eric Keaveny , Franck Plouraboue , Eric Climent

Understanding the hydrodynamics of microswimmers in viscoelastic fluids and confined environments is crucial for interpreting their behaviour in natural settings and designing synthetic microswimmers for practical applications like cargo…

Fluid Dynamics · Physics 2025-01-28 KVS Chaithanya , Sumesh P. Thampi

Biological microswimmers are known to navigate upstream of an external flow (positive rheotaxis) in trajectories ranging from linear, spiral to oscillatory. Such rheotaxis stems from the interplay between the motion and complex shapes of…

Soft Condensed Matter · Physics 2022-05-27 Ranabir Dey , Carola M. Buness , Babak Vajdi Hokmabad , Chenyu Jin , Corinna C. Maass

Sperm traverse their microenvironment through viscous fluid by propagating flagellar waves; the waveform emerges as a consequence of elastic structure, internal active moments, and low Reynolds number fluid dynamics. Engineered…

Fluid Dynamics · Physics 2015-02-19 Thomas Montenegro-Johnson , Hermes Gadelha , David J. Smith
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