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Bacterial cells use run-and-tumble motion to climb up attractant concentration gradient in their environment. By extending the uphill runs and shortening the downhill runs the cells migrate towards the higher attractant zones. Motivated by…

Cell Behavior · Quantitative Biology 2025-01-08 Ramesh Pramanik , Shradha Mishra , Sakuntala Chatterjee

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

Animal cells can sense chemical gradients without moving, and are faced with the challenge of migrating towards a target despite noisy information on the target position. Here we discuss optimal search strategies for a chaser that moves by…

Biological Physics · Physics 2015-03-18 Pawel Romanczuk , Guillaume Salbreux

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 chemotaxis is one of the representative search strategies of an odor source via sensing its spatial gradient. The optimal ways of sensing and control in the run-and-tumble chemotaxis have been analyzed theoretically to…

Cell Behavior · Quantitative Biology 2024-12-31 Kento Nakamura , Tetsuya J. Kobayashi

{\sl Escherichia coli} ({\sl E. coli}) bacteria govern their trajectories by switching between running and tumbling modes as a function of the nutrient concentration they experienced in the past. At short time one observes a drift of the…

Statistical Mechanics · Physics 2011-12-08 Sakuntala Chatterjee , Rava Azeredo da Silveira , Yariv Kafri

Chemotaxis is the physical phenomenon that bacteria adjust their motions according to chemical stimulus. A classical model for this phenomenon is a kinetic equation that describes the velocity jump process whose tumbling/transition kernel…

Analysis of PDEs · Mathematics 2024-01-11 Kathrin Hellmuth , Christian Klingenberg , Qin Li , Min Tang

Bacterial chemotaxis has long been viewed as operating near the physical limits of sensing, as originally articulated by Berg and Purcell. Recent information-theoretic analyses challenge this view, suggesting that Escherichia coli uses only…

Cell Behavior · Quantitative Biology 2026-05-06 Robert G. Endres

Reinforcement learning (RL) is a flexible and efficient method for programming micro-robots in complex environments. Here we investigate whether reinforcement learning can provide insights into biological systems when trained to perform…

Biological Physics · Physics 2024-04-03 Samuel Tovey , Christoph Lohrmann , Christian Holm

The bacterium E. coli maneuvers itself to regions with high chemoattractant concentrations by performing two stereotypical moves: `runs', in which it moves in near straight lines, and `tumbles', in which it does not advance but changes…

Cell Behavior · Quantitative Biology 2007-11-29 Yariv Kafri , Rava Azeredo da Silveira

Escherichia coli is a motile bacterium that moves up a chemoattractant gradient by performing a biased random walk composed of alternating runs and tumbles. Previous models of run and tumble chemotaxis neglect one or more features of the…

Quantitative Methods · Quantitative Biology 2007-06-26 J. T. Locsei

Most of our understanding of bacterial chemotaxis comes from studies of Escherichia coli. However, recent evidence suggests significant departures from the E. coli paradigm in other bacterial species. This variation may stem from different…

Cell Behavior · Quantitative Biology 2015-03-27 Martin Godány , Bhavin S. Khatri , Richard A. Goldstein

Microorganisms often perform chemotaxis, (i.e., sensing and moving toward a region with a higher concentration of an attractive chemical) by changing the rate of tumbling for random walk. We studied several models with internal adaptive…

Statistical Mechanics · Physics 2009-11-11 Masayo Inoue , Kunihiko Kaneko

Chemotaxis of bacterial swimmers that move in a run-and-turn pattern is well studied in uniform bulk fluid. It is primarily based on modulating the run time in dependence on the swimming direction with respect to the source of…

Soft Condensed Matter · Physics 2025-03-10 Sönke Beier , Veronika Pfeifer , Agniva Datta , Robert Großmann , Carsten Beta

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

Shortcut engineering consists of a class of approaches to rapidly manipulate physical systems by means of specially designed external controls. In this Letter, we apply these approaches to run-and-tumble particles, which are designed to…

Statistical Mechanics · Physics 2023-04-13 Adam G. Frim , Michael R. DeWeese

The classical macroscopic chemotaxis equations have previously been derived from an individual-based description of the tactic response of cells that use a "run-and-tumble" strategy in response to environmental cues. Here we derive…

Cell Behavior · Quantitative Biology 2007-05-23 Radek Erban , Hans G. Othmer

Bacteria can chemotactically migrate up attractant gradients by controlling run-and-tumble motility patterns. In addition to this well-known chemotactic behaviour, several soil and marine bacterial species perform chemokinesis: they adjust…

Biological Physics · Physics 2021-03-19 Theresa Jakuszeit , James Lindsey-Jones , François J. Peaudecerf , Ottavio A. Croze

We study the chemotaxis of a population of genetically identical swimming bacteria undergoing run and tumble dynamics driven by stochastic switching between clockwise and counterclockwise rotation of the flagellar rotary system.…

Cell Behavior · Quantitative Biology 2020-07-17 Margaritis Voliotis , Jerko Rosko , Teuta Pilizota , Tanniemola Liverpool

In chemotaxis, cells are modulating their migration patterns in response to concentration gradients of a guiding substance. Immune cells are believed to use such chemotactic sensing for remotely detecting and homing in on pathogens.…

Cell Behavior · Quantitative Biology 2019-02-28 Claus Metzner
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