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Related papers: Steady-State Chemotactic Response in E. coli

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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

We study the long-time behaviour of a run and tumble model which is a kinetic-transport equation describing bacterial movement under the effect of a chemical stimulus. The experiments suggest that the non-uniform tumbling kernels are…

Analysis of PDEs · Mathematics 2024-04-30 Josephine Evans , Havva Yoldaş

We show how the competition between sensing and adaptation can result in a performance peak in E.coli chemotaxis using extensive numerical simulations in a detailed theoretical model. Receptor clustering amplifies the input signal coming…

Cell Behavior · Quantitative Biology 2021-03-17 Shobhan Dev Mandal , Sakuntala Chatterjee

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

Chemotaxis, the directional locomotion of cells towards a source of a chemical gradient, is an integral part of many biological processes - for example, bacteria motion, single-cell or multicellular organisms development, immune response,…

Analysis of PDEs · Mathematics 2021-03-29 Yishu Gong , Alexander Kiselev

Densely packed, motile bacteria can adopt collective states not seen in conventional, passive materials. These states remain in many ways mysterious, and their physical characterization can aid our understanding of natural bacterial…

Statistical Mechanics · Physics 2024-06-18 Hisay Lama , Masahiro J. Yamamoto , Yujiro Furuta , Takuro Shimaya , Kazumasa A. Takeuchi

Many chemotactic bacteria inhabit environments in which chemicals appear as localized pulses and evolve by processes such as diffusion and mixing. We show that, in such environments, physical limits on the accuracy of temporal gradient…

Biological Physics · Physics 2016-01-19 Andrew M. Hein , Douglas R. Brumley , Francesco Carrara , Roman Stocker , Simon A. Levin

Microbiology is the science of microbes, particularly bacteria. Many bacteria are motile: they are capable of self-propulsion. Among these, a significant class execute so-called run-and-tumble motion: they follow a fairly straight path for…

Statistical Mechanics · Physics 2012-09-06 M. E. Cates

Bacterial chemotaxis systems are as diverse as the environments that bacteria inhabit, but how much environmental variation can cells tolerate with a single system? Diversification of a single chemotaxis system could serve as an…

Populations and Evolution · Quantitative Biology 2015-11-30 Nicholas W Frankel , William Pontius , Yann S Dufour , Junjiajia Long , Luis Hernandez- Nunez , Thierry Emonet

We present a model for the dynamics of a population of bacteria with a continuum of traits, who compete for resources and exchange horizontally (transfer) an otherwise vertically inherited trait with possible mutations. Competition…

Probability · Mathematics 2017-07-27 Sylvain Billiard , Pierre Collet , Régis Ferrière , Sylvie Méléard , Viet Chi Tran

Collective migration -- the directed, coordinated motion of many self-propelled agents -- is a fascinating emergent behavior exhibited by active matter that has key functional implications for biological systems. Extensive studies have…

Biological Physics · Physics 2022-06-07 Tapomoy Bhattacharjee , Daniel B. Amchin , Ricard Alert , J. A. Ott , Sujit S. Datta

We studied the swimming of \textit{Escherichia coli} bacteria in the vicinity of the critical point in a solution of the non-ionic surfactant \chem{C_{12}E_{5}} in buffer solution. In phase contrast microscopy, each swimming cell produces a…

Soft Condensed Matter · Physics 2018-08-07 Nick Koumakis , Clémence Devailly , Wilson C. K. Poon

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

Cell migration is a fundamental process involved in physiological phenomena such as the immune response and morphogenesis, but also in pathological processes, such as the development of tumor metastasis. These functions are effectively…

Cell Behavior · Quantitative Biology 2018-12-26 Christèle Etchegaray , Nicolas Meunier

We study methylation dynamics of the chemoreceptors as an {\sl E.coli} cell moves around in a spatially varying chemo-attractant environment. We consider attractant concentration with strong and weak spatial gradient. During the uphill and…

Cell Behavior · Quantitative Biology 2022-01-28 Shobhan Dev Mandal , Sakuntala Chatterjee

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…

We study a stochastic two-species chemical reaction system with two mechanisms. One mechanism consists of chemical interactions which govern the overall drift of species amounts in the system; the other mechanism consists of resampling,…

Probability · Mathematics 2014-05-06 John K. McSweeney , Lea Popovic

In this work we study, at the single molecular level, the thermodynamic and dynamic characteristics of an enzymatic reaction comprising a rate limiting step. We investigate how the stability of the enzyme-state stationary probability…

Subcellular Processes · Quantitative Biology 2015-05-20 Moisés Santillán

We study the long time behaviour of the speed of a particle moving in $\mathbb{R}^d$ under the influence of a random time-dependent potential representing the particle's environment. The particle undergoes successive scattering events that…

Probability · Mathematics 2014-09-09 Emilie Soret , Stephan De Bievre

Diverse processes--e.g. bioremediation, biofertilization, and microbial drug delivery--rely on bacterial migration in disordered, three-dimensional (3D) porous media. However, how pore-scale confinement alters bacterial motility is unknown…

Soft Condensed Matter · Physics 2019-05-09 Tapomoy Bhattacharjee , Sujit S. Datta