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Chemotaxis and haptotaxis have been a main theme in the macroscopic study of bacterial and cellular motility. In this work we investigate the influence these processes have on the shape and motility of fast migrating cells. We note that…

Cell Behavior · Quantitative Biology 2016-12-08 Aaron Brunk , Niklas Kolbe , Nikolaos Sfakianakis

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 study bacterial diffusion in disordered porous media. Interactions with obstacles, at unknown locations, make this problem challenging. We approach it by abstracting the environment to cell states with memoryless transitions. With this,…

Soft Condensed Matter · Physics 2023-12-29 Henry H. Mattingly

Motile bacteria are known to accumulate at surfaces, eventually leading to changes in bacterial motility and bio-film formation. We use a novel two-colour, three-dimensional Lagrangian tracking technique, to follow simultaneously the body…

A simple model is studied for the chemotactic movement of biological cells in the presence of a periodic chemical wave. It incorporates the feature of adaptation that may play an important role in allowing for ``rectified" chemotaxis:…

Condensed Matter · Physics 2009-10-28 Raymond E. Goldstein

{\it E. coli} bacteria swim in straight runs interrupted by sudden reorientation events called tumbles. The resulting random walks give rise to density fluctuations that can be derived analytically in the limit of non interacting particles…

Statistical Mechanics · Physics 2013-09-05 M. Paoluzzi , R. Di Leonardo , L. Angelani

We study the transport of bacteria in a porous media modeled by a square channel containing one cylindrical obstacle via molecular dynamics simulations coupled to a lattice Boltzmann fluid. Our bacteria model is a rod-shaped rigid body…

Soft Condensed Matter · Physics 2020-11-30 Miru Lee , Christoph Lohrmann , Kai Szuttor , Harold Auradou , Christian Holm

Extending the classic works of Berg and Purcell on the biophysics of bacterial chemotaxis, we find the optimal chemotactic strategy for the peritrichous bacterium E. Coli in the high and low signal to noise ratio limits. The optimal…

adap-org · Physics 2009-10-30 S. P. Strong , B. Freedman , William Bialek , R. Koberle

Bacteria are often exposed to multiple stimuli in complex environments, and their efficient chemotactic decisions are critical to survive and grow in their native environments. Bacterial responses to the environmental stimuli depend on the…

Quantitative Methods · Quantitative Biology 2021-06-10 Jeungeun Park , Zahra Aminzare

This paper introduces a reaction-diffusion-chemotaxis model for bacterial aggregation patterns on the surface of thin agar plates. It is based on the non-linear degenerate cross diffusion model proposed by Kawasaki et al. (J. of Theor.…

Cell Behavior · Quantitative Biology 2013-01-23 J. Francisco Leyva , Carlos Malaga , Ramon G. Plaza

We study chemotaxis of a single {\sl E.coli} bacterium in a medium where the nutrient chemical is also undergoing diffusion and its concentration has the form of a Gaussian whose width increases with time. We measure the average first…

Cell Behavior · Quantitative Biology 2015-04-30 Subrata Dev , Sakuntala Chatterjee

Bacteria are able to respond to environmental signals by changing their rules of movement. When we take into account chemical signals in the environment, this behaviour is often called chemotaxis. At the individual-level, chemotaxis…

Analysis of PDEs · Mathematics 2007-05-23 Radek Erban , Hyung Ju Hwang

Kinetic-transport equations are, by now, standard models to describe the dynamics of populations of bacteria moving by run-and-tumble. Experimental observations show that bacteria increase their run duration when encountering an increasing…

Analysis of PDEs · Mathematics 2015-03-16 Benoît Perthame , Min Tang , Nicolas Vauchelet

The chemotactic pathway allows bacteria to respond and adapt to environmental changes, by tuning the tumbling and running motions that are due to clockwise and counterclockwise rotations of their flagella. The pathway is tightly regulated…

Molecular Networks · Quantitative Biology 2009-10-09 Daniela Besozzi , Paolo Cazzaniga , Matteo Dugo , Dario Pescini , Giancarlo Mauri

Chemotaxis is the process by which cells behave in a way that follows the chemical gradient. Applications to bacteria growth, tissue inflammation, and vascular tumors provide a focus on optimization strategies. Experiments can characterize…

Optimization and Control · Mathematics 2007-07-18 K. Renee Fister , Maeve L. McCarthy

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

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

The signaling apparatus mediating bacterial chemotaxis can adapt to a wide range of persistent external stimuli. In many cases, the bacterial activity returns to its pre-stimulus level exactly and this "perfect adaptability" is robust…

Biological Physics · Physics 2017-10-16 Bernardo A. Mello , Yuhai Tu

The crossover between dispersion patterns has been frequently observed in various systems. Inspired by the pathway-based kinetic model for E. coli chemotaxis that accounts for the intracellular adaptation process and noise, we propose a…

Analysis of PDEs · Mathematics 2025-01-07 Zhe Xue , Weiran Sun , Zhennan Zhou , Min Tang

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