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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

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

Motile microorganisms, like bacteria and algae, unify abilities like self-propulsion, autonomous navigation, and decision-making on the micron scale. While recent breakthroughs have led to the creation of synthetic microswimmers and…

Soft Condensed Matter · Physics 2026-02-06 Aritra K. Mukhopadhyay , Ran Niu , Linhui Fu , Kai Feng , Christopher Fujta , Qiang Zhao , Jinping Qu , Benno Liebchen

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

A phase field approach is proposed to model the chemotaxis of Dictyostelium discoideum. In this framework, motion is controlled by active forces as determined by the Meinhardt model of chemical dynamics which is used to simulate directional…

Biological Physics · Physics 2023-03-01 Yunsong Zhang , Herbert Levine , Yanxiang Zhao

Local drug delivery has received much recognition in recent years, yet it is still unpredictable how drug efficacy depends on physicochemical properties and delivery kinetics. The purpose of the current study is to provide a useful…

Dynamical Systems · Mathematics 2016-01-26 Koyel Chakravarty , D C Dalal

We study single cell E.coli chemotaxis in a spatio-temporally varying attractant environment. Modeling the attractant concentration in the form of a traveling sine wave, we measure in our simulations, the chemotactic drift velocity of the…

Cell Behavior · Quantitative Biology 2025-06-06 Shobhan Dev Mandal , Sakuntala Chatterjee

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

In eukaryotic cell chemotaxis, cells extend and retract transient actin-driven protrusions at their membrane that facilitate both the detection of external chemical gradients and directional movement via the formation of focal adhesions…

Cell Behavior · Quantitative Biology 2025-09-25 Samuel W. S. Johnson , Maddy Parsons , Ruth E. Baker , Philip K. Maini

The long range movement of certain organisms in the presence of a chemoattractant can be governed by long distance runs, according to an approximate Levy distribution. This article clarifies the form of biologically relevant model…

Biological Physics · Physics 2018-04-12 Gissell Estrada-Rodriguez , Heiko Gimperlein , Kevin J. Painter

The Brownian dynamics of a single microorganism coupled by chemotaxis to a diffusing concentration field which is secreted by the microorganism itself is studied by computer simulations in spatial dimensions $d=1,2,3$. Both cases of a…

Soft Condensed Matter · Physics 2015-05-13 Ankush Sengupta , Sven van Teeffelen , Hartmut Löwen

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

Chemotaxis is a ubiquitous biological phenomenon in which cells detect a spatial gradient of chemoattractant, and then move towards the source. Here we present a position-dependent advection-diffusion model that quantitatively describes the…

Biological Physics · Physics 2018-04-06 Zahra Eidi , Farshid Mohammad-Rafiee , Mohammad Khorrami , Azam Gholami

Chemotaxis and auto-chemotaxis play an important role in many essential biological processes. We present a self-propelling artificial swimmer system which exhibits chemotaxis as well as negative auto-chemotaxis. Oil droplets in an aqueous…

Soft Condensed Matter · Physics 2019-10-15 Chenyu Jin , Carsten Krüger , Corinna C. Maass

Through evolution, bacteria have developed the ability to perform chemotactic motion in order to find nourishment. By adopting a machine learning approach, we aim to understand how this behavior arises. We consider run-and-tumble agents…

Soft Condensed Matter · Physics 2026-01-13 Nicholas Tovazzi , Gorka Muñoz-Gil , Michele Caraglio

We consider mutual information between release times and capture times for a set of M identical quanta traveling independently from a source to a target. The quanta are immediately captured upon arrival, first-passage times are assumed…

Information Theory · Computer Science 2016-11-11 Christopher Rose , I. Saira Mian , Ruochen Song

Living systems contain intricate biochemical networks whose structure is closely related to their function and allows them to exhibit robust behavior in the presence of external stimuli. Such networks typically involve catalytic enzymes,…

Biological Physics · Physics 2025-10-27 Vincent Ouazan-Reboul , Ramin Golestanian , Jaime Agudo-Canalejo

Chemotaxis combines three processes: directional sensing, polarity reorientation and migration. Directed migration plays an important role in immune response, metastasis, wound healing and development. To describe chemotaxis, we extend a…

Biological Physics · Physics 2023-12-04 Pedro C. Dal-Castel , Gilberto L. Thomas , Gabriel C. Perrone , Rita M. C. de Almeida

Single eukaryotic cells commonly sense and follow chemical gradients, performing chemotaxis. Recent experiments and theories, however, show that even when single cells do not chemotax, clusters of cells may, if their interactions are…

Cell Behavior · Quantitative Biology 2016-07-04 Brian A. Camley , Juliane Zimmermann , Herbert Levine , Wouter-Jan Rappel

Living cells are capable of interacting with their environments in a variety of ways, including cell signalling, adhesion, and directed motion. These behaviours are often mediated by receptor molecules embedded in the cell membrane, which…

Biological Physics · Physics 2023-10-17 Hannah Sleath , Bortolo Mognetti , Yuval Elani , Lorenzo Di Michele
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