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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…

Microbial motion is typically analyzed by simplified models in which trajectories exhibit straight runs (perhaps with added Gaussian noise) followed by random, discrete tumbling events. We present the results of a statistical analysis of…

Biological Physics · Physics 2025-02-20 Taylor Whitney , Thomas Solomon , Kevin Mitchell

We analyze a simplistic model for run-and-tumble dynamics, motivated by observations of complex spatio-temporal patterns in colonies of myxobacteria. In our model, agents run with fixed speed either left or right, and agents turn with a…

Pattern Formation and Solitons · Physics 2017-12-04 Patrick Flynn , Quinton Neville , Arnd Scheel

We investigate numerically a model consisting in a kinetic equation for the biased motion of bacteria following a run-and-tumble process, coupled with two reaction-diffusion equations for chemical signals. This model exhibits asymptotic…

Analysis of PDEs · Mathematics 2018-11-26 Vincent Calvez , Laurent Gosse , Monika Twarogowska

The run and tumble process is well established in order to describe the movement of bacteria in response to a chemical stimulus. However the relation between the tumbling rate and the internal state of bacteria is poorly understood. The…

Analysis of PDEs · Mathematics 2021-08-27 Benoit Perthame , Weiran Sun , Min Tang , Shugo Yasuda

In this article we highlight chemotaxis (cellular movement) as a rich source of potential engineering applications and computational models, highlighting current research and possible future work. We first give a brief description of the…

Cell Behavior · Quantitative Biology 2007-05-23 Martyn Amos , David A. Hodgson , Alan Gibbons

The self-propulsion of artificial and biological microswimmers (i.e., active colloidal particles) has often been modelled by using a force and a torque entering into the overdamped equations for the Brownian motion of passive particles.…

Soft Condensed Matter · Physics 2015-07-10 Borge ten Hagen , Raphael Wittkowski , Daisuke Takagi , Felix Kümmel , Clemens Bechinger , Hartmut Löwen

Centrifugation is a widespread laboratory technique used to separate mixtures into fractions characterized by a specific size, weight or density. We demonstrate that centrifugation can be also used to separate swimming cells having…

Soft Condensed Matter · Physics 2014-11-07 Claudio Maggi , Alessia Lepore , Jacopo Solari , Alessandro Rizzo , Roberto Di Leonardo

Self-diffusiophoretic particles exploit local concentration gradients of a solute species in order to self-propel at the micron scale. While an isolated chemically- and geometrically-isotropic particle cannot swim, we show that it can…

Soft Condensed Matter · Physics 2018-06-12 Akhil Varma , Thomas D. Montenegro-Johnson , Sebastien Michelin

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

The motion of a eukaryotic cell presents a variety of interesting and challenging problems from both a modeling and a computational perspective. The processes span many spatial scales (from molecular to tissue) as well as disparate time…

Cell Behavior · Quantitative Biology 2010-11-25 Ben Vanderlei , James J. Feng , Leah Edelstein-Keshet

We propose a computational method to simulate anomalous self-diffusion in a simple liquid. The method is based on a molecular dynamics simulation on which we impose the following two conditions: firstly, the inter-particle interaction is…

Statistical Mechanics · Physics 2010-04-07 Simon Standaert , Jan Ryckebusch , Lesley De Cruz

We study the statistical properties of the convex hull of a planar run-and-tumble particle (RTP), also known as the "persistent random walk", where the particle/walker runs ballistically between tumble events at which it changes its…

Statistical Mechanics · Physics 2020-05-25 Alexander K Hartmann , Satya N Majumdar , Hendrik Schawe , Grégory Schehr

Biological systems are promising substrates for computation because they naturally process environmental information through complex internal dynamics. In this study, we investigate whether bacterial metabolic models can act as physical…

Emerging Technologies · Computer Science 2026-04-23 Laura Alonso Bartolomé , Jean-Loup Faulon , Xavier Hinaut

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

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

Micro-robots for, e.g., biomedical applications, need to be equipped with motility strategies that enable them to navigate through complex environments. Inspired by biological microorganisms we recreate motility patterns such as…

Soft Condensed Matter · Physics 2023-11-13 Christoph Lohrmann , Christian Holm

Computational scientists have investigated swimming performance across a multitude of different systems for decades. Most models depend on numerous model parameters and performance is sensitive to those parameters. In this paper, parameter…

Fluid Dynamics · Physics 2020-11-24 Nicholas A. Battista

The collective motion of bacterial cells in a shallow circular pool is systematically studied using the bacterial species $Bacillus$ $subtilis$. The ratio of cell length to pool diameter (i.e., the reduced cell length) ranges from 0.06 to…

Biological Physics · Physics 2015-10-06 Jun-ichi Wakita , Shota Tsukamoto , Ken Yamamoto , Makoto Katori , Yasuyuki Yamada

Bacteria such as Escherichia coli (E. coli) exhibit biased motion if kept in a spatially non-uniform chemical environment. Here, we bring out unique time-dependent characteristics of bacterial chemotaxis, in response to a diffusing spatial…

Biological Physics · Physics 2018-12-05 Sibendu Samanta , Ritwik Layek , Shantimoy Kar , Sudipta Mukhopadhyay , Suman Chakraborty