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In this paper the first equation within a class of well known chemotaxis systems is derived as a hydrodynamic limit from a stochastic interacting many particle system on the lattice. The cells are assumed to interact with attractive…

Probability · Mathematics 2018-04-26 Stefan Grosskinsky , Daniel Marahrens , Angela Stevens

In natural environments, solid surfaces present both opportunities and challenges for bacteria. On one hand, they serve as platforms for biofilm formation, crucial for bacterial colonization and resilience in harsh conditions. On the other…

Biological Physics · Physics 2025-07-01 Antai Tao , Guangzhe Liu , Rongjing Zhang , Junhua Yuan

Chemotactic bacteria have been observed to congregate into highly regular patterns. When the bacteria are placed in the center of a dish, a wave of bacteria can travel outward, leaving a regular pattern of spots or stripes in its wake.…

Pattern Formation and Solitons · Physics 2009-09-29 William J. Bruno

Chemotaxis plays a crucial role in a variety of processes in biology and ecology. Quite often it acts to improve efficiency of biological reactions; one example is the immune system signalling, where infected tissues release chemokines…

Analysis of PDEs · Mathematics 2025-08-20 Jing An , Alexander Kiselev , Yao Yao

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

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

Statistical Mechanics · Physics 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks

In this paper we present a hydrodynamic approach to describe the motion of migrating bacteria as a special class of self-propelled systems. Analytical and numerical calculations has been performed to study the behavior of our model in the…

Soft Condensed Matter · Physics 2015-06-25 Zoltan Csahok , Andras Czirok

Biological molecular machines are bifunctional enzymes that catalyze two processes: one donating free energy and the other accepting it. Recent studies show that most protein enzymes have rich stochastic dynamics of transitions between the…

Biological Physics · Physics 2023-02-02 Michal Kurzynski , Przemyslaw Chelminiak

A discrete chemotactic predator-prey model is proposed in which the prey secrets a diffusing chemical which is sensed by the predator and vice versa. Two dynamical states corresponding to catching and escaping are identified and it is shown…

Populations and Evolution · Quantitative Biology 2015-05-20 Ankush Sengupta , Tobias Kruppa , Hartmut Löwen

The bacterium Escherichia coli (E. coli) moves in its natural environment in a series of straight runs, interrupted by tumbles which cause change of direction. It performs chemotaxis towards chemo-attractants by extending the duration of…

Quantitative Methods · Quantitative Biology 2010-07-12 Melissa Reneaux , Manoj Gopalakrishnan

Motile cilia are a striking example of functional cellular organelle, conserved across all the eukaryotic species. Motile cilia allow swimming of cells and small organisms and transport of liquids across epithelial tissues. Whilst the…

Tissues and Organs · Quantitative Biology 2020-01-13 Pietro Cicuta

A stochastic walker model is proposed to describe the chemotactic guidance of growth cones, i.e. the tips of developing neurites. The model accounts for the influence of both attractive and repulsive chemical cues, which are emitted by the…

Analysis of PDEs · Mathematics 2025-11-04 Noah Geltner , Ansgar Jüngel

Self-propelled bacteria are marvels of nature with a potential to power dynamic materials and microsystems of the future. The challenge is in commanding their chaotic behavior. By dispersing swimming Bacillus subtilis in a…

Soft Condensed Matter · Physics 2016-12-21 Chenhui Peng , Taras Turiv , Yubing Guo , Qi-Huo Wei , Oleg D. Lavrentovich

A three-dimensional hydrodynamical model for a micro random walker is combined with the idea of chemotactic signaling network of E. coli. Diffusion exponents, orientational correlation functions and their dependence on the geometrical and…

Soft Condensed Matter · Physics 2014-10-02 H. Mohammady , B. Esckandariun , A. Najafi

Biological systems process information under noisy environment. Sensory adaptation model of E. coli is suitable for investigation because of its simplicity. To understand the adaptation processing quantitatively, stochastic thermodynamic…

Molecular Networks · Quantitative Biology 2019-07-16 Keita Ashida , Kotaro Oka

Gene-knockout experiments on single-cell organisms have established that expression of a substantial fraction of genes is not needed for optimal growth. This problem acquired a new dimension with the recent discovery that environmental and…

Molecular Networks · Quantitative Biology 2011-03-29 Sean P. Cornelius , Joo Sang Lee , Adilson E. Motter

Living microorganisms have evolved dedicated sensory machinery to detect environmental perturbations, processing these signals through biochemical networks to guide behavior. Replicating such capabilities in synthetic active matter remains…

Soft Condensed Matter · Physics 2025-12-25 Diptabrata Paul , Nikola Milosevic , Nico Scherf , Frank Cichos

Microswimmers such as E. Coli bacteria accumulate and exhibit an intriguing dynamics near walls, governed by hydrodynamic and steric interactions. Insight into the underlying mechanisms and predominant interactions demand a detailed…

Soft Condensed Matter · Physics 2020-07-03 S. Mahdiyeh Mousavi , Gerhard Gompper , Roland G. Winkler

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

One striking feature of bacterial motion is their ability to swim upstream along corners and crevices, by leveraging hydrodynamic interactions. This motion through anatomic ducts or medical devices might be at the origin of serious…

Soft Condensed Matter · Physics 2020-04-07 Nuris Figueroa-Morales , Aramis Rivera , Rodrigo Soto , Anke Lindner , Ernesto Altshuler , Eric Clement
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