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Run-and-tumble dynamics is a wide-spread mechanism of swimming bacteria. The accumulation of run-and-tumble microswimmers near impermeable surfaces is studied theoretically and numerically in the low-density limit in two and three spatial…

Statistical Mechanics · Physics 2015-03-29 Jens Elgeti , Gerhard Gompper

Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modelled by diffusion in space or on metapolulation networks. Alternatively, an effective force of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

The movement of intracellular cargo transported by molecular motors is commonly marked by switches between directed motion and stationary pauses. The predominant measure for assessing movement is effective diffusivity, which predicts the…

Quantitative Methods · Quantitative Biology 2024-12-31 Keisha J. Cook , Nathan Rayens , Linh Do , Christine K. Payne , Scott A. McKinley

We consider Brownian particles immersed in the fluid which flow is turbulent. We study the limit where the particles' inertia is weak and their velocity relaxes fast to the velocity of the flow. The trajectories of the particles in this…

Chaotic Dynamics · Physics 2011-10-25 Itzhak Fouxon , Eugene Mednikov

The dynamic properties of a classical tracer particle in a random, disordered medium are investigated close to the localization transition. For Lorentz models obeying Newtonian and diffusive motion at the microscale, we have performed…

Soft Condensed Matter · Physics 2008-04-29 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

Active propulsion, as performed by bacteria and Janus particles, in combination with hydrodynamic interaction results in the accumulation of bacteria at a flat wall. However, in microfluidic devices with cylindrical pillars of sufficiently…

Biological Physics · Physics 2024-04-15 Theresa Jakuszeit , Ottavio A. Croze

Rolling of a small sphere on a solid support is governed by a non-linear friction that is akin to the Coulombic dry fiction. No motion occurs when the external field is weaker than the frictional resistance. However, with the intervention…

Statistical Mechanics · Physics 2012-03-22 P. S. Goohpattader , M. K. Chaudhury

We investigate the transport properties of active particles undergoing a three-state run-and-tumble dynamics in one dimension, induced by non-reciprocal transition rates between self-propelling velocity states $\{-v, 0, +v\}$ that…

Statistical Mechanics · Physics 2025-08-15 Julio C. R. Romo-Cruz , Francisco J. Sevilla

Gliding is a means of locomotion on rigid substrates utilized by a number of bacteria includingmyxobacteria and cyanobacteria. One of the hypotheses advanced to explain this motility mechanism hinges on the role played by the slime…

Biological Physics · Physics 2015-03-02 Epifanio G. Virga

Diffusive motion is a fundamental transport mechanism in physical and biological systems, governing dynamics across a wide range of scales -- from molecular transport to animal foraging. In many complex systems, however, diffusion deviates…

Statistical Mechanics · Physics 2026-05-01 Takuma Akimoto , Jae-Hyung Jeon , Ralf Metzler , Tomoshige Miyaguchi , Takashi Uneyama , Eiji Yamamoto

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…

Bacteria often traverse confined spaces to perform critical functions in symbiosis, infection, drug delivery, and soil bioremediation. While the canonical run-and-tumble strategy enables exploration, its reliance on constant sensing and…

Biological Physics · Physics 2026-03-04 Viet Sang Doan , Ali Nikkhah , Sangwoo Shin

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 recent experiment [Sadoon AA, Wang Y. 2018 Phys. Rev. E 98, 042411] has revealed that nucleoid associated proteins (i.e., DNA-binding proteins) exhibit highly heterogeneous diffusion processes in bacteria where not only the diffusion…

Statistical Mechanics · Physics 2021-03-09 Yuichi Itto , Christian Beck

Self-sustained turbulent structures have been observed in a wide range of living fluids, yet no quantitative theory exists to explain their properties. We report experiments on active turbulence in highly concentrated 3D suspensions of…

We study colonies of non-motile, rod-shaped bacteria growing on solid substrates. In our model, bacteria interact purely mechanically, by pushing each other away as they grow, and consume a diffusing nutrient. We show that mechanical…

Biological Physics · Physics 2015-06-15 F. D. C. Farrell , O. Hallatschek , D. Marenduzzo , B. Waclaw

The comb model is a simplified description for anomalous diffusion under geometric constraints. It represents particles spreading out in a two-dimensional space where the motions in the x-direction are allowed only when the y coordinate of…

Computational Physics · Physics 2015-07-21 H. V. Ribeiro , A. A. Tateishi , L. G. A. Alves , R. S. Zola , E. K. Lenzi

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

Colloids coupled to a bath of swimming cells generically display enhanced diffusion. This transport dynamics stems from a subtle interplay between the active and passive particles that still resists our understanding despite decades of…

Soft Condensed Matter · Physics 2021-03-25 Antoine Lagarde , Noémie Dagès , Takahiro Nemoto , Vincent Démery , Denis Bartolo , Thomas Gibaud

Growth drives cellular dynamics in dense aggregates including bacterial colonies, developing tissues, and tumors. We investigate the underlying physical principles emerging from the interplay of growth, steric repulsion, and motility in a…

Soft Condensed Matter · Physics 2025-02-11 Torben Sunkel , Lukas Hupe , Philip Bittihn
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