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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

Many problems in fluid dynamics are effectively modeled as Stokes flows - slow, viscous flows where the Reynolds number is small. Boundary integral equations are often used to solve these problems, where the fundamental solutions for the…

Numerical Analysis · Mathematics 2022-12-21 J. Thomas Beale , Christina Jones , Jillian Reale , Svetlana Tlupova

Geometric confinement plays an important role in the dynamics of natural and synthetic microswimmers from bacterial cells to self-propelled particles in high-throughput microfluidic devices. However, little is known about the effects of…

Fluid Dynamics · Physics 2014-11-13 Alan Cheng Hou Tsang , Eva Kanso

The intricate wobbling motion of flagellated bacteria, characterized by the periodic precession of the cell body, is a determinant factor in their motility and navigation within complex fluid environments. While well-studied in quiescent…

Soft Condensed Matter · Physics 2026-01-26 Wei Feng , Fanglong Dang , Hao Luo , Alan C. H. Tsang , Yanan Liu , Guangyin Jing

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

Flagellar-driven locomotion plays a critical role in bacterial attachment and colonization of surfaces, contributing to the risks of contamination and infection. Tremendous attempts to uncover the underlying principles governing bacterial…

Soft Condensed Matter · Physics 2025-02-19 Xin-Xin Xu , Yangguang Tian , Yuhe Pu , Bingchen Che , Hao Luo , Yanan Liu , Yan-Jun Liu , Guangyin Jing

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

The run-and-tumble dynamics of bacteria, as exhibited by \textit{E. coli}, offers a simple experimental realization of non-Brownian, yet diffusive, particles. Here we present some analytic and numerical results for models of the ideal…

Statistical Mechanics · Physics 2009-08-12 J. Tailleur , M. E. Cates

Stokes flow, discussed by G.G. Stokes in 1851, describes many microscopic biological flow phenomena, including cilia-driven transport and flagellar motility; the need to quantify and understand these flows has motivated decades of…

Fluid Dynamics · Physics 2021-03-17 Meurig T. Gallagher , David J. Smith

Microbial flagellates typically inhabit complex suspensions of polymeric material which can impact the swimming speed of motile microbes, filter-feeding of sessile cells, and the generation of biofilms. There is currently a need to better…

Soft Condensed Matter · Physics 2017-11-22 Andrew Kaan Balin , Andreas Zöttl , Julia M. Yeomans , Tyler Shendruk

Within individual bacteria, we combine force-dependent polymerization dynamics of individual MreB protofilaments with an elastic model of protofilament bundles buckled into helical configurations. We use variational techniques and…

Subcellular Processes · Quantitative Biology 2011-11-10 Jun F. Allard , Andrew D. Rutenberg

A flagellated bacterium navigates fluid environments by rotating its helical flagellar bundle. The wobbling of the bacterial body significantly influences its swimming behavior. To quantify the three underlying motions--precession,…

Soft Condensed Matter · Physics 2026-05-29 Jinglei Hu , Chen Gui , Mingxin Mao , Pu Feng , Yurui Liu , Xiangjun Gong , Gerhard Gompper

Most bacteria swim through fluids by rotating helical flagella which can take one of twelve distinct polymorphic shapes. The most common helical waveform is the "normal" form, used during forward swimming runs. To shed light on the…

Biological Physics · Physics 2015-03-17 Saverio E. Spagnolie , Eric Lauga

We propose a time discretization scheme for a class of ordinary differential equations arising in simulations of fluid/particle flows. The scheme is intended to work robustly in the lubrication regime when the distance between two particles…

Numerical Analysis · Mathematics 2010-03-25 Matthieu Hillairet , Alexei Lozinski , Marcela Szopos

Many microorganisms swim in a highly heterogeneous environment with obstacles such as fibers or polymers. To better understand how this environment affects microorganism swimming, we study propulsion of a cylinder or filament in a fluid…

Fluid Dynamics · Physics 2016-04-13 Nguyenho Ho , Karin Leiderman , Sarah D. Olson

Motivated by recent advances in vesicle engineering, we consider theoretically the locomotion of shape-changing bilayer vesicles at low Reynolds number. By modulating their volume and membrane composition, the vesicles can be made to change…

Biological Physics · Physics 2010-04-09 Arthur A. Evans , Saverio E. Spagnolie , Eric Lauga

\emph{Spiroplasma} swimming is studied with a simple model based on resistive-force theory. Specifically, we consider a bacterium shaped in the form of a helix that propagates traveling-wave distortions which flip the handedness of the…

Biological Physics · Physics 2015-05-13 Jing Yang , Charles W. Wolgemuth , Greg Huber

We propose a method to parameterize a coarse grained model for the hydrodynamic friction between nearly touching rough spheres in suspension flows. The frictional resistance due to surface roughness primarily alters the sliding and rolling…

Soft Condensed Matter · Physics 2022-03-15 Madhu V. Majji , James W. Swan

Particles whose shapes couple translation to rotation display a rich array of behaviors as they sediment at low Reynolds number. We introduce a unifying perspective in which the possible dynamical regimes and bifurcations between them can…

Equilibrating proteins and other biomacromolecules is cardinal for molecular dynamics simulation of such biological systems in which they perform free dynamics without any externally-applied mechanical constraint, until thermodynamic…

Soft Condensed Matter · Physics 2021-02-11 Ashkan Shekaari , Mahmoud Jafari