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We introduce a numerical method to extract the parameters of run-and-tumble dynamics from experimental measurements of the intermediate scattering function. We show that proceeding in Laplace space is unpractical and employ instead renewal…

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

The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Soto , Ramin Golestanian

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

Run-and-tumble motility is widely used by swimming microorganisms including numerous prokaryotic eukaryotic organisms. Here, we experimentally investigate the run-and-tumble dynamics of the bacterium E. coli in polymeric solutions. We find…

Fluid Dynamics · Physics 2015-11-04 A. E. Patteson , A. Gopinath , M. Goulian , P. E. Arratia

We consider self-propelled particles undergoing run-and-tumble dynamics (as exhibited by E. coli) in one dimension. Building on previous analyses at drift-diffusion level for the one-particle density, we add both interactions and noise,…

Statistical Mechanics · Physics 2008-08-14 J. Tailleur , M. E. Cates

Active particles such as swimming bacteria or self-propelled colloids are known to spontaneously organize into fascinating large-scale dynamic structures. The emergence of these collective states from the motility pattern of the individual…

Soft Condensed Matter · Physics 2019-11-20 Hamid Karan , Gerardo E. Pradillo , Petia M. Vlahovska

One striking feature of bacterial motion is their ability to swim upstream along corners and crevices, by leveraging hydrodynamic interactions. This motion through anatomic ducts or medical devices might be at the origin of serious…

Soft Condensed Matter · Physics 2020-04-07 Nuris Figueroa-Morales , Aramis Rivera , Rodrigo Soto , Anke Lindner , Ernesto Altshuler , Eric Clement

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 numerically study the dynamics of run-and-tumble particles confined in two chambers connected by thin channels. Two dominant dynamical behaviors emerge: (i) an oscillatory pumping state, in which particles periodically fill the two…

Soft Condensed Matter · Physics 2015-11-04 M. Paoluzzi , R. Di Leonardo , L. Angelani

Run-and-tumble dynamics is a wide-spread mechanism of swimming bacteria. The accumulation of run-and-tumble microswimmers near impermeable surfaces is studied theoretically and numerically in the low-density limit in two and three spatial…

Statistical Mechanics · Physics 2015-03-29 Jens Elgeti , Gerhard Gompper

In our article we present a computational model for the simulation of self-propelled anisotropic bacteria. To this end we use a self-propelled particle model and augment it with a statistical algorithm for the run-and-tumble motion. We…

Soft Condensed Matter · Physics 2020-06-17 Miru Lee , Kai Szuttor , Christian Holm

Run-and-tumble is a common but vital strategy that bacteria employ to explore environment suffused with boundaries, as well as to escape from entrapment. In this study we reveal how this strategy and the resulting dynamical behavior can be…

Soft Condensed Matter · Physics 2025-01-30 Premkumar Leishangthem , Xuan Wang , Junan Chen , Shengqi Yang , Xinliang Xu

Run-and-tumble is a basic model of persistent motion and a motility strategy widespread in micro-organisms and individual cells. In many natural settings, movement occurs in the presence of confinement. While accumulation at the surface has…

Soft Condensed Matter · Physics 2024-04-12 T. Pietrangeli , C. Ybert , C. Cottin-Bizonne , F. Detcheverry

One of simplest examples of navigation found in nature is run-and-tumble chemotaxis. Tumbles reorient cells randomly, and cells can drift toward attractants or away from repellents by biasing the frequency of these events. The post-tumble…

Soft Condensed Matter · Physics 2017-09-14 Julius B. Kirkegaard , Raymond E. Goldstein

We study a model of self propelled particles exhibiting run and tumble dynamics on lattice. This non-Brownian diffusion is characterised by a random walk with a finite persistence length between changes of direction, and is inspired by the…

Statistical Mechanics · Physics 2015-03-17 A. G. Thompson , J. Tailleur , M. E. Cates , R. A. Blythe

Micro-swimmers such as bacteria perform random walks known as run-and-tumbles to move up chemo-attractant gradients and as a result aggregate with others. It is also known that such micro-swimmers can self-organize into macroscopic patterns…

Biological Physics · Physics 2016-08-31 Enkeleida Lushi

A hallmark of bacteria is their so-called "run-and-tumble" motion, consisting of a sequence of linear directed "runs" and random rotations that constantly alternate due to biochemical feedback. It plays a crucial role in the ability of…

Soft Condensed Matter · Physics 2024-02-21 Gordei Anchutkin , Viktor Holubec , Frank Cichos

The run-and-tumble (RT) dynamics followed by bacterial swimmers gives rise first to a ballistic motion due to their persistence, and later, through consecutive tumbles, to a diffusive process. Here we investigate how long it takes for a…

Soft Condensed Matter · Physics 2020-07-01 Andrea Villa-Torrealba , Cristóbal Chávez Raby , Pablo de Castro , Rodrigo Soto

We characterize the full spatiotemporal gait of populations of swimming {\it Escherichia coli} using renewal processes to analyze the measurements of intermediate scattering functions. This allows us to demonstrate quantitatively how the…

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