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Various microorganisms and some mammalian cells are able to swim in viscous fluids by performing nonreciprocal body deformations, such as rotating attached flagella or by distorting their entire body. In order to perform chemotaxis, i.e. to…

Biological Physics · Physics 2021-05-06 Benedikt Hartl , Maximilian Hübl , Gerhard Kahl , Andreas Zöttl

Organisms must acquire and use environmental information to guide their behaviors. However, it is unclear whether and how information quantitatively limits behavioral performance. Here, we relate information to behavioral performance in…

Biological Physics · Physics 2023-02-22 Henry H. Mattingly , Keita Kamino , Benjamin B. Machta , Thierry Emonet

Navigating toward a known target in a noisy environment is a fundamental problem shared across biological, physical, and engineered systems. Although optimal strategies are often framed in terms of continuous, fine-grained feedback, we show…

Statistical Mechanics · Physics 2025-12-24 Abhijit Sinha , Sandeep Jangid , Tridib Sadhu , Shankar Ghosh

Efficient navigation in swarms often relies on the emergence of decentralized approaches that minimize traversal time or energy. Stigmergy, where agents modify a shared environment that then modifies their behavior, is a classic mechanism…

Neurons and Cognition · Quantitative Biology 2026-01-08 Vishaal Krishnan , L. Mahadevan

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

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

It has recently been reported that bacteria, such as E.coli and P. putida, perform distinct modes of motion when placed in porous media as compared to dilute regions or free space. This has led us to suggest an efficient strategy for active…

Soft Condensed Matter · Physics 2022-04-12 Ehsan Irani , Zahra Mokhtari , Annette Zippelius

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

Pursuing a drifting target in a turbulent flow is an extremely difficult task whenever the searcher has limited propulsion and maneuvering capabilities. Even in the case when the relative distance between pursuer and target stays below the…

Fluid Dynamics · Physics 2023-10-02 Chiara Calascibetta , Luca Biferale , Francesco Borra , Antonio Celani , Massimo Cencini

Bacterial cells navigate around their environment by directing their movement along chemical gradients. This process, known as chemotaxis, can promote the rapid expansion of bacterial populations into previously unoccupied territories.…

Populations and Evolution · Quantitative Biology 2022-06-08 Avaneesh V. Narla , Jonas Cremer , Terry Hwa

{\sl Escherichia coli} ({\sl E. coli}) bacteria govern their trajectories by switching between running and tumbling modes as a function of the nutrient concentration they experienced in the past. At short time one observes a drift of the…

Statistical Mechanics · Physics 2011-12-08 Sakuntala Chatterjee , Rava Azeredo da Silveira , Yariv Kafri

A common feature of biological self-organization is how active agents communicate with each other or their environment via chemical signaling. Such communications, mediated by self-generated chemical gradients, have consequences for both…

Soft Condensed Matter · Physics 2023-11-07 Babak Vajdi Hokmabad , Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian , Corinna C. Maass

Many motile biological cells navigate along concentration gradients of signaling molecules: This chemotaxis guides for instance sperm cells from marine invertebrates, which have to find egg cells in the ocean. While chemotaxis has been…

Biological Physics · Physics 2022-09-21 Steffen Lange , Benjamin M. Friedrich

The bacterium E. coli maneuvers itself to regions with high chemoattractant concentrations by performing two stereotypical moves: `runs', in which it moves in near straight lines, and `tumbles', in which it does not advance but changes…

Cell Behavior · Quantitative Biology 2007-11-29 Yariv Kafri , Rava Azeredo da Silveira

Inputs to signaling pathways can have complex statistics that depend on the environment and on the behavioral response to previous stimuli. Such behavioral feedback is particularly important in navigation. Successful navigation relies on…

Molecular Networks · Quantitative Biology 2014-12-02 Yann S. Dufour , Xiongfei Fu , Luis Hernandez-Nunez , Thierry Emonet

We introduce mesoscopic and macroscopic model equations of chemotaxis with anomalous subdiffusion for modelling chemically directed transport of biological organisms in changing chemical environments with diffusion hindered by traps or…

Dynamical Systems · Mathematics 2012-12-03 T. A. M. Langlands , B. I. Henry

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

Taking inspiration from the crawling motion of biological cells on a substrate, we consider a physical model of self-propulsion where the spatio-temporal driving can involve both, a mechanical actuation by active force couples, and a…

Soft Condensed Matter · Physics 2024-05-16 Pierre Recho , Lev Truskinovsky

Bacteria commonly inhabit porous environments such as host tissues, soil, and marine sediments, where complex geometries constrain and redirect their motion. Although bacterial motility has been studied in porous media, the roles of cell…

Soft Condensed Matter · Physics 2025-12-22 David Gao , Zeyuan Wang , Mihika Jain , Arnold J. T. M. Mathijssen , Ran Tao

Mathematical models have been widely used to describe the collective movement of bacteria by chemotaxis. In particular, bacterial concentration waves traveling in a narrow channel have been experimentally observed and can be precisely…

Analysis of PDEs · Mathematics 2016-04-15 Casimir Emako , Charlène Gayrard , Axel Buguin , Luís Neves de Almeida , Nicolas Vauchelet