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The deformations of flagella are important in the motility of single- and multi-flagellated bacteria. Existing numerical methods have treated flagella as extensible filaments with a large extensional modulus, resulting in a stiff numerical…

Fluid Dynamics · Physics 2020-07-15 Mehdi Jabbarzadeh , Henry C. Fu

We discuss a two-dimensional model for the dynamics of axonemal deformations driven by internally generated forces of molecular motors. Our model consists of an elastic filament pair connected by active elements. We derive the dynamic…

Biological Physics · Physics 2009-11-06 Sebastien Camalet , Frank Julicher

A quantitative description of the flagellar dynamics in the procyclic T. brucei is presented in terms of stationary oscillations and traveling waves. By using digital video microscopy to quantify the kinematics of trypanosome flagellar…

Quantitative Methods · Quantitative Biology 2007-05-23 Nathan R. Hutchings , Andrei Ludu

The hydrodynamics of a flagellated microorganism is investigated when swimming close to a planar free-slip surface by means of numerical solu- tions of the Stokes equations obtained via a Boundary Element Method. Depending on the initial…

Fluid Dynamics · Physics 2017-03-31 Daniela Pimponi , Mauro Chinappi , Paolo Gualtieri , Carlo Massimo Casciola

The time dynamics of flagellar and ciliary beating is often neglected in theories of microswimmers, with the most common models prescribing a time-constant actuation of the surrounding fluid. By explicitly introducing a metachronal wave,…

Soft Condensed Matter · Physics 2026-01-19 G. C. Antunes , H. Stark

The paper deals with a theoretical study of electrokinetic flow of a rheological Herschel-Bulkley fluid through a cylindrical tube of variable cross-section. The concern of this study is to analyze combined pressure-driven and…

Fluid Dynamics · Physics 2023-12-22 S. Maiti , S. K. Pandey , J. C. Misra

We study a nonlocal evolution equation that involves a pseudo-parabolic third-order term. The equation models almost uni-directional two-phase flow in Brinkman regimes. We prove the existence of weak solutions for this equation. We also…

Analysis of PDEs · Mathematics 2018-09-14 Alaa Armiti-Juber , Christian Rohde

Swimming of microorganisms is studied from a viewpoint of extended objects (strings and membranes) swimming in the incompressible f luid of low Reynolds number. The flagellated motion is analyzed in two dimensional fluid, by using the…

High Energy Physics - Theory · Physics 2009-10-22 Masako Kawamura , Akio Sugamoto , Shin'ichi Nojiri

Slender bodies capable of spontaneous motion in the absence of external actuation in an otherwise quiescent fluid are common in biological, physical and technological contexts. The interplay between the spontaneous fluid flow, Brownian…

Soft Condensed Matter · Physics 2015-08-13 Abhrajit Laskar , R. Adhikari

We analyse the motion of a flagellated bacterium in a two-fluid medium using slender body theory. The two-fluid model is useful for describing a body moving through a complex fluid with a microstructure whose length scale is comparable to…

Fluid Dynamics · Physics 2024-12-11 Sabarish V. Narayanan , Donald L. Koch , Sarah Hormozi

Flagella allow eukaryotic cells to move and pump fluid. We present the first three-dimensional, time-resolved imaging of the flagellar waveform of Chlamydomonas reinhardtii, a model alga found in fresh water. During the power stroke, we…

Biological Physics · Physics 2022-10-18 Laurence G. Wilson , Martin A. Bees

Many types of bacteria swim by rotating a bundle of helical filaments also called flagella. Each filament is driven by a rotary motor and a very flexible hook transmits the motor torque to the filament. We model it by discretizing…

Biological Physics · Physics 2012-01-04 Reinhard Vogel , Holger Stark

This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the design and analysis domains by using separate grids. The…

Optimization and Control · Mathematics 2025-07-01 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

Many microorganisms propel through complex media by deformations of their flagella. The beat is thought to emerge from interactions between forces of the surrounding fluid, passive elastic response from deformations of the flagellum, and…

Fluid Dynamics · Physics 2024-01-23 Kathryn G. Link , Robert D. Guy , Becca Thomases , Paulo E. Arratia

The mechanism of swimming at very low Reynolds number conditions is a topic of interest to biologists and engineering community. We develop a novel kinematic model of a slender flexible swimmer which locomotes in a low Reynolds number…

Systems and Control · Computer Science 2018-03-26 Sudin Kadam , Ravi N. Banavar

Cilia and flagella are actively bending slender organelles, performing functions such as motility, feeding and embryonic symmetry breaking. We review the mechanics of viscous-dominated microscale flow, including time-reversal symmetry, drag…

Quantitative Methods · Quantitative Biology 2013-09-06 Thomas D. Montenegro-Johnson , Andrew A. Smith , David J. Smith , Daniel Loghin , John R. Blake

We exploit a two-dimensional model [7], [6] and [1] describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue and the 3D fluid flow into account. We study time periodic…

Analysis of PDEs · Mathematics 2021-07-28 V. Kozlov , S. Nazarov , G. Zavorokhin

Active turbulence is a paradigmatic and fascinating example of self-organized motion at large scales occurring in active matter. We employ massive hydrodynamic simulations of suspensions of resolved model microswimmers to tackle the…

Soft Condensed Matter · Physics 2025-03-18 Antonio Gascó , Ignacio Pagonabarraga , Andrea Scagliarini

In the absence of inertia, a reciprocal swimmer achieves no net motion in a viscous Newtonian fluid. Here, we investigate the ability of a reciprocally actuated particle to translate through a complex fluid that possesses a network using…

Fluid Dynamics · Physics 2015-06-18 David A. Gagnon , Nathan C. Keim , Xiaoning Shen , Paulo E. Arratia

Computational models of aquatic locomotion range from individual modest simple swimmers in 2D to sophisticated 3D individual swimmers to complex multi-swimmer models that attempt to parse collective behavioral dynamics. Each of these models…

Fluid Dynamics · Physics 2020-07-31 Nicholas A. Battista