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Hybrid models of chemotaxis combine agent-based models of cells with partial differential equation models of extracellular chemical signals. In this paper, travelling wave properties of hybrid models of bacterial chemotaxis are…

Biological Physics · Physics 2013-02-13 Benjamin Franz , Chuan Xue , Kevin J. Painter , Radek Erban

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

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

We study a one-dimensional three-state run-and-tumble model motivated by the bacterium Caulobacter crescentus which displays a cell cycle between two non-proliferation mobile phase and a proliferating sedentary phase. Our model implements…

Soft Condensed Matter · Physics 2022-09-15 Davide Breoni , Fabian Jan Schwarzendahl , Ralf Blossey , Hartmut Löwen

To explore and react to their environment, living micro-swimmers have developed sophisticated strategies for locomotion - in particular, motility with multiple gaits. To understand the physical principles associated with such a behavioural…

The hydrodynamic interactions among bacterial cell bodies, flagella, and surrounding boundaries are essential for understanding bacterial motility in complex environments. In this study, we demonstrate that each slender flagellum can be…

Soft Condensed Matter · Physics 2025-01-07 Baopi Liu , Lu Chen , Ji Zhang

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

Traditionally, the primary mode for locomotion of amoeboid cells was thought to be crawling on a substrate. Recently, it has been experimentally shown that \textit{Dictostelium} amoeba and neutrophils can also swim in a directed fashion.…

Biological Physics · Physics 2015-05-19 Albert Bae , Eberhard Bodenschatz

Evolution has provided many organisms with sophisticated sensory systems that enable them to respond to signals in their environment. The response frequently involves alteration in the pattern of movement, such as the chemokinesis of the…

Molecular Networks · Quantitative Biology 2009-11-10 Reka Albert , Yu-wen Chiu , Hans G. Othmer

We numerically study the dynamics of run-and-tumble particles confined in two chambers connected by thin channels. Two dominant dynamical behaviors emerge: (i) an oscillatory pumping state, in which particles periodically fill the two…

Soft Condensed Matter · Physics 2015-11-04 M. Paoluzzi , R. Di Leonardo , L. Angelani

Ciliated microswimmers and flagellated bacteria alter their swimming trajectories to follow the direction of an applied electric field exhibiting electrotaxis. Both for matters of application and physical modelling, it is instructive to…

Soft Condensed Matter · Physics 2024-01-26 Carola M. Buness , Avi Rana , Corinna C. Maass , Ranabir Dey

Suspensions of swimming bacteria interact hydrodynamically over long ranges, organizing themselves into collective states that drive large-scale chaotic flows, often referred to as "bacterial turbulence". Despite extensive experimental and…

We formulate the Smoluchowski equation for a run-and-tumble particle. It includes the mean tumble rate in a chemical field, for which we derive a Markovian response theory. Using a multipole expansion and a reaction-diffusion equation for…

Biological Physics · Physics 2019-04-30 Maximilian Seyrich , Andrzej Palugniok , Holger Stark

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

The existence of travelling waves for a model of concentration waves of bacteria is investigated. The model consists in a kinetic equation for the biased motion of cells following a run-and-tumble process, coupled with two…

Analysis of PDEs · Mathematics 2016-07-05 Vincent Calvez

Growing living cultures of Escherichia coli bacteria were investigated using real-time in situ rheology and rheo-imaging measurements. In the early stages of growth (lag phase), and when subjected to a constant stationary shear, the…

Biological Physics · Physics 2016-12-21 R. Portela , P. Patrício , P. L. Almeida , R. G. Sobral , J. M. Franco , C. R. Leal

Bacteria track chemical gradients using a biased random walk, a process called chemotaxis. Experiments suggest that bacteria also communicate during this process. Using a mathematical model, we find that sufficiently strong communication…

Biological Physics · Physics 2025-12-18 Soutick Saha , Sean Fancher , Andrew Mugler

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

We characterize the full spatiotemporal gait of populations of swimming {\it Escherichia coli} using renewal processes to analyze the measurements of intermediate scattering functions. This allows us to demonstrate quantitatively how the…

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