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In a classic paper, Edward Purcell analysed the dynamics of flagellated bacterial swimmers and derived a geometrical relationship which optimizes the propulsion efficiency. Experimental measurements for wild-type bacterial species E. coli…

Biological Physics · Physics 2020-01-08 Praneet Prakash , Amith Z. Abdulla , Varsha Singh , Manoj Varma

Micro-organisms propel themselves in viscous environments by the periodic, nonreciprocal beating of slender appendages known as flagella. Active materials have been widely exploited to mimic this form of locomotion. However, the realization…

Soft Condensed Matter · Physics 2024-08-06 Ariel Surya Boiardi , Giovanni Noselli

Bacterial flagella assume different helical shapes during the tumbling phase of a bacterium but also in response to varying environmental conditions. Force-extension measurements by Darnton and Berg explicitly demonstrate a transformation…

Biological Physics · Physics 2010-11-11 Reinhard Vogel , Holger Stark

We investigate the dynamics of a pair of rigid rotating helices in a viscous fluid, as a model for bacterial flagellar bundle and a prototype of microfluidic pumps. Combining experiments with hydrodynamic modeling, we examine how spacing…

Fluid Dynamics · Physics 2025-05-13 Chijing Zang , Luke Omodt , Moumita Dasgupta , Xiang Cheng

Hydrodynamics and confinement dominate bacterial mobility near solid or air-water boundaries, causing flagellated bacteria to move in circular trajectories. This phenomenon results from the counter-rotation between the bacterial body and…

Biological Physics · Physics 2018-10-09 George Araujo , Weijie Chen , Sridhar Mani , Jay X. Tang

We develop a numerical framework to simulate the locomotion of a flagellated bacterium with a spheroidal head (such as Escherichia coli) in biological fluids like mucus, which are entangled polymer solutions exhibiting elasto-viscoplastic…

Fluid Dynamics · Physics 2026-04-01 Arjun Sharma , Sabarish V. Narayanan , Sarah Hormozi , Donald L. Koch

The swimming properties of an E. coli-type model bacterium are investigated by mesoscale hy- drodynamic simulations, combining molecular dynamics simulations of the bacterium with the multiparticle particle collision dynamics method for the…

Soft Condensed Matter · Physics 2016-08-23 Jinglei Hu , Mingcheng Yang , Gerhard Gompper , Roland G. Winkler

Peritrichous bacteria synchronize and bundle their flagella to actively swim while disruption of the bundle leads to tumbling. It is still not known whether the number of flagella represents an evolutionary adaptation towards optimizing…

Biological Physics · Physics 2020-04-21 Javad Najafi , M. Reza Shaebani , Thomas John , Florian Altegoer , Gert Bange , Christian Wagner

The eukaryotic flagellum beats periodically, driven by the oscillatory dynamics of molecular motors, to propel cells and pump fluids. Small, but perceivable fluctuations in the beat of individual flagella have physiological implications for…

Cell Behavior · Quantitative Biology 2015-06-18 Rui Ma , Gary S. Klindt , Ingmar H. Riedel-Kruse , Frank Jülicher , Benjamin M. Friedrich

To survive in harsh conditions, motile bacteria swim in complex environment and respond to the surrounding flow. Here we develop a PDE model describing how the flagella bending affects macroscopic properties of bacterial suspensions. First,…

Analysis of PDEs · Mathematics 2016-10-11 Mykhailo Potomkin , Magali Tournus , Leonid Berlyand , Igor Aranson

We study the microscale propulsion of a rotating helical filament confined by a cylindrical tube, using a boundary-element method for Stokes flow that accounts for helical symmetry. We determine the effect of confinement on swimming speed…

Fluid Dynamics · Physics 2014-01-09 Bin Liu , Kenneth S. Breuer , Thomas R. Powers

Cilia and flagella are hairlike organelles that propel cells through fluid. The active motion of the axoneme, the motile structure inside cilia and flagella, is powered by molecular motors of the dynein family. These motors generate forces…

Subcellular Processes · Quantitative Biology 2016-11-02 Pablo Sartori , Veikko Geyer , Jonathon Howard , Frank Jülicher

A tiny bacterial flagellar motor rotates in both counter-clockwise (CCW) and clockwise (CW) rotational directions. The most important measurable characteristic of the flagellar motor is its torque versus angular speed relationship in CCW or…

Biological Physics · Physics 2021-09-07 Biswajit Das , Hao Ge

Flagellated bacteria exploiting helical propulsion are known to swim along circular trajectories near surfaces. Fluid dynamics predicts this circular motion to be clockwise (CW) above a rigid surface (when viewed from inside the fluid) and…

Biological Physics · Physics 2014-07-18 Diego Lopez , Eric Lauga

The unicellular green algae Chlamydomonas swims with two flagella, which can synchronize their beat. Synchronized beating is required to swim both fast and straight. A long-standing hypothesis proposes that synchronization of flagella…

Cell Behavior · Quantitative Biology 2013-11-26 Veikko Geyer , Frank Jülicher , Jonathon Howard , Benjamin M Friedrich

Bacteriophage viruses, one of the most abundant entities in our planet, lack the ability to move independently. Instead, they crowd fluid environments in anticipation of a random encounter with a bacterium. Once they land on the cell body…

Biological Physics · Physics 2018-11-05 Panayiota Katsamba , Eric Lauga

Microorganism motility often takes place within complex, viscoelastic fluid environments, e.g., sperm in cervicovaginal mucus and bacteria in biofilms. In such complex fluids, strains and stresses generated by the microorganism are stored…

Confinement and wall effects are known to affect the kinematics and propulsive characteristics of swimming microorganisms. When a solid body is dragged through a viscous fluid at constant velocity, the presence of a wall increases fluid…

Biological Physics · Physics 2010-10-29 Arthur A. Evans , Eric Lauga

Bacterial flagellar motor (BFM) is one of the ion-driven molecular machines, which drives the rotation of flagellar filaments and enable bacteria to swim in viscous solutions. Understanding its mechanism is one challenge in biophysics.…

Biological Physics · Physics 2015-03-06 Yunxin Zhang

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