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Related papers: Bacterial chemotaxis considering memory effects

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Swimming bacteria detect chemical gradients by performing temporal comparisons of recent measurements of chemical concentration. These comparisons are described quantitatively by the chemotactic response function, which we expect to…

Cell Behavior · Quantitative Biology 2009-11-13 Damon A. Clark , Lars C. Grant

Understanding how bacteria move in porous media is critical to applications in healthcare, agriculture, environmental remediation, and chemical sensing. Recent work has demonstrated that E. coli, which moves by run-and-tumble dynamics in a…

Soft Condensed Matter · Physics 2022-06-07 Tapomoy Bhattacharjee , Sujit S. Datta

Ephemeral aggregations of bacteria are ubiquitous in the environment, where they serve as hotbeds of metabolic activity, nutrient cycling, and horizontal gene transfer. In many cases, these regions of high bacterial concentration are…

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

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

Chemotaxis describes the intricate interplay of cellular motion in response to a chemical signal. We here consider the case of slab geometry which models chemotactic motion between two infinite membranes. Like previous works, we are…

Analysis of PDEs · Mathematics 2026-01-16 Herbert Egger , Kathrin Hellmuth , Nora Philippi , Matthias Schlottbom

Active matter systems comprise self-propelled particles that move on a substrate while leaving chemical trails that influence other particles through chemotaxis (e.g., slime-depositing bacteria). Orientational chemotaxis manifests as a…

Soft Condensed Matter · Physics 2025-12-11 Aymeric Lutier , Frédéric van Wijland , Jean-Baptiste Fournier

Cellular metabolism, the integrated interconversion of thousands of metabolic substrates through enzyme-catalyzed biochemical reactions, is the most investigated complex intercellular web of molecular interactions. While the topological…

Molecular Networks · Quantitative Biology 2015-06-26 E. Almaas , B. Kovacs , T. Vicsek , Z. N. Oltvai , A. -L. Barabasi

We investigate further the existence of solutions to kinetic models of chemotaxis. These are nonlinear transport-scattering equations with a quadratic nonlinearity which have been used to describe the motion of bacteria since the 80's when…

Analysis of PDEs · Mathematics 2007-09-27 Nikolaos Bournaveas , Vincent Calvez , Susana Gutiérrez , Benoît Perthame

Aggregation of chemotactic bacteria under a unimodal distribution of chemical cues was investigated by Monte Carlo (MC) simulation based on a kinetic transport equation, which considers an internal adaptation dynamics as well as a finite…

Analysis of PDEs · Mathematics 2022-09-05 Shugo Yasuda

A wide array of biological systems can navigate in shallow gradients of chemoattractant with remarkable precision. Whilst previous approaches model such systems using coarse-grained chemical density profiles, we construct a dynamical model…

Biological Physics · Physics 2023-12-19 Jacob Knight , Paula García-Galindo , Johannes Pausch , Gunnar Pruessner

We study the stationary Keller--Segel chemotaxis models with logistic cellular growth over a one-dimensional region subject to the Neumann boundary condition. We show that nonconstant solutions emerge in the sense of Turing's instability as…

Analysis of PDEs · Mathematics 2016-04-19 Qi Wang , Jingda Yan , Chunyi Gai

The symport of lactose and H+ is an important physiological process in E. coli, for it is closely related to cellular energy supply. In this paper, the symport of H+ and lactose by E. coli LacY protein is computationally simulated using a…

Biological Physics · Physics 2022-04-06 Haoran Sun

The phenomenon where cells with elongated protrusions, such as neurons, communicate by contacting other cells and arrange themselves appropriately is termed cell sorting through haptotaxis. This phenomenon is described by partial…

Analysis of PDEs · Mathematics 2026-01-01 Hiroshi Ishii , Hideki Murakawa , Yoshitaro Tanaka

In the chemotactic motion of Escherichia coli, the switching of transmembrane chemoreceptors between active and inactive states is one of the most important steps of the signaling pathway. We study the effect of this switching time-scale on…

Cell Behavior · Quantitative Biology 2022-08-18 Shobhan Dev Mandal , Sakuntala Chatterjee

We investigate the (reduced) Keller-Segel equations modeling chemotaxis of bio-organisms. We present a formal derivation and partial rigorous results of the blowup dynamics of solution of these equations describing the chemotactic…

Pattern Formation and Solitons · Physics 2014-07-03 S. I. Dejak , D. Egli , P. M. Lushnikov , I. M. Sigal

A mathematical model based on classical species balance equation has been developed to explain the experimental observation on E.Coli cell-killing in a batch reactor and to extract information on cell-killing mechanism. Maximum likelihood…

Chemical Physics · Physics 2023-07-12 Vivekananda Bal

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 study an anomalous behavior observed in interacting E. coli populations. When two populations of E. coli are placed on opposite ends of a long channel with a supply of nutrient between them, they will travel as pulses toward one another…

Cell Behavior · Quantitative Biology 2017-04-25 Glenn Young , Mahmut Demir , Hanna Salman , G. Bard Ermentrout , Jonathan E. Rubin

Bacterial chemotaxis is controlled by the conformational changes of the receptors, in response to the change of the ambient chemical concentration. In a statistical mechanical approach, the signalling due to the conformational changes is a…

Biological Physics · Physics 2009-11-07 Yu Shi
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