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During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tumble phase in which they change their orientation. When…

Analysis of PDEs · Mathematics 2025-05-19 Alain Blaustein

Near a solid boundary, E. coli swims in clockwise circular motion. We provide a hydrodynamic model for this behavior. We show that circular trajectories are natural consequences of force-free and torque-free swimming, and the hydrodynamic…

Soft Condensed Matter · Physics 2016-08-31 Eric Lauga , Willow R. DiLuzio , George M. Whitesides , Howard A. Stone

An analysis of the projectile motion in stagnant air is presented for an evaporating respiratory micro-droplet which has been ejected from the mouth as an isolated droplet. It is assumed that the air resistance is a nonlinear function of…

Applied Physics · Physics 2021-05-20 Marko V. Lubarda , Vlado A. Lubarda

In this work we introduce a stochastic model to describe directional changes in the movement of swimming bacteria. We use the probability density function (PDF) of turn angles, measured on tumbling wild-type {\it E. coli}, to build a…

Soft Condensed Matter · Physics 2017-07-13 G. Fier , D. Hansmann , R. C. Buceta

The near-surface swimming patterns of bacteria are strongly determined by the hydrodynamic interactions between bacteria and the surface, which trap bacteria in smooth circular trajectories that lead to inefficient surface exploration.…

Motile bacteria are known to accumulate at surfaces, eventually leading to changes in bacterial motility and bio-film formation. We use a novel two-colour, three-dimensional Lagrangian tracking technique, to follow simultaneously the body…

The autonomous motion of liquid crystal oil droplets in micellar media arises from spontaneous breaking of time reversal symmetry via nonlinear coupling between Marangoni stresses and surfactant transport. While this phenomenon has been…

Soft Condensed Matter · Physics 2026-01-15 Salini Kar , Rohit V. Menon , Sanbed Das , Parth Pandya , Sayantan Dutta , Mithun Chowdhury

There are various cases of animal movement where behaviour broadly switches between two modes of operation, corresponding to a long distance movement state and a resting or local movement state. Here a mathematical description of this…

Quantitative Methods · Quantitative Biology 2014-08-01 Jake P. Taylor-King , Emiel van Loon , Gabriel Rosser , S. Jon Chapman

Peritrichously-flagellated bacteria, such as Escherichia coli, self-propel in fluids by using specialised motors to rotate multiple helical filaments. The rotation of each motor is transmitted to a short flexible segment called the hook…

Biological Physics · Physics 2018-06-07 Emily E. Riley , Debasish Das , Eric Lauga

We use Stokesian Dynamics simulations to study the microscopic motion of particles suspended in fluids passing through porous media. We construct model porous media with fixed spherical particles, and allow mobile ones to move through this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jysoo Lee , Joel Koplik

Dense bacterial suspensions display collective motion exhibiting coherent flow structures reminiscent of turbulent flows. In contrast to inertial turbulence, understanding the microscopic dynamics of bacterial fluid elements undergoing…

Soft Condensed Matter · Physics 2023-07-28 G. Dhananjay , M. Hemlata , Saravanan Matheshwaran , Sivasurender Chandran

We study a synthetic system of motile Escherichia coli bacteria encapsulated inside giant lipid vesicles. Forces exerted by the bacteria on the inner side of the membrane are sufficient to extrude membrane tubes filled with one or several…

Vertically vibrating a liquid bath at two frequencies, $f$ and $f/2$, having a relative phase difference $\Delta\phi_0$ can give rise to self-propelled superwalking droplets on the liquid surface. We have numerically investigated such…

Fluid Dynamics · Physics 2021-04-21 Rahil N. Valani , Anja C. Slim , Tapio P. Simula

The bacterium Escherichia coli (E. coli) moves in its natural environment in a series of straight runs, interrupted by tumbles which cause change of direction. It performs chemotaxis towards chemo-attractants by extending the duration of…

Quantitative Methods · Quantitative Biology 2010-07-12 Melissa Reneaux , Manoj Gopalakrishnan

In the present work we simulate the basic two-dimensional dynamics of swarming E. coli bacteria on the surface of a moderately soft agar plate. Individual bacteria are modelled by self-propelled ridged bodies (agents), which interact with…

Soft Condensed Matter · Physics 2016-12-31 David Hansmann , Guido Fier , Rubén Carlos Buceta

We report a new type of fluid-based driven dissipative oscillator system consisting of a lattice of millimetric fluid droplets bouncing on a vertically vibrating liquid bath and bound within an annular ring. We characterize the system…

Soft Condensed Matter · Physics 2020-10-27 Stuart J. Thomson , Miles M. P. Couchman , John W. M. Bush

The bacterium E.Coli swims in a zig-zag manner, in a series of straight runs and tumbles occurring alternately, with the run-durations dependent on the local spatial gradient of chemo-attractants/repellants. This enables the organism to…

Cell Behavior · Quantitative Biology 2008-12-31 Melissa Reneaux , Manoj Gopalakrishnan

Pathogens in droplets on fomites and aerosols go through extreme physiochemical conditions, such as confinement and osmotic stress, due to evaporation. Still, these droplets are the predominant transmission routes of many contagious…

Soft Condensed Matter · Physics 2021-08-10 Maheshwar Gopu , Akanksha Agrawal , Raju Mukherjee , Dileep Mampallil

Escherichia coli is a motile bacterium that moves up a chemoattractant gradient by performing a biased random walk composed of alternating runs and tumbles. This paper presents calculations of the chemotactic drift velocity vd (the mean…

Quantitative Methods · Quantitative Biology 2008-04-16 J. T. Locsei , T. J. Pedley

We demonstrate that collective turbulent-like motion in a bacterial bath can power and steer directed transport of mesoscopic carriers through the suspension. In our experiments and simulations, a microwedge-like "bulldozer" draws energy…

Soft Condensed Matter · Physics 2014-04-21 Andreas Kaiser , Anton Peshkov , Andrey Sokolov , Borge ten Hagen , Hartmut Löwen , Igor S. Aranson