English
Related papers

Related papers: Invariance properties of bacterial random walks in…

200 papers

When analyzing the individual positional dynamics of an ensemble of moving objects, the extracted parameters that characterize the motion of individual objects, such as the mean-squared instantaneous velocity or the diffusivity, exhibit a…

In this paper, we study the dynamics of a random walker diffusing on a disordered one-dimensional lattice with random trappings. The distribution of escape probabilities is computed exactly for any strength of the disorder. These…

Statistical Mechanics · Physics 2016-08-31 Clement Sire

The surrounding world surprises us by the beauty and variety of complex shapes that emerge from nanometric to macroscopic scales. Natural or manufactured materials (sandstones, sedimentary rocks and cement), colloidal solutions (proteins…

Mathematical Physics · Physics 2009-09-10 Denis Grebenkov

Colonies of rod-shaped bacteria constitute a system of colloidal active matter with nematic properties. As a single initial bacterium multiplies through repeated divisions, the resulting colony quickly loses long-range orientational order,…

Active turbulence, or chaotic self-organized collective motion, is often observed in concentrated suspensions of motile bacteria and other systems of self-propelled interacting agents. To date, there is no fundamental understanding of how…

Soft Condensed Matter · Physics 2024-07-09 Daiki Nishiguchi , Sora Shiratani , Kazumasa A. Takeuchi , Igor S. Aranson

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

When cells measure concentrations of chemical signals, they may average multiple measurements over time in order to reduce noise in their measurements. However, when cells are in a environment that changes over time, past measurements may…

Cell Behavior · Quantitative Biology 2025-03-05 Aparajita Kashyap , Wei Wang , Brian A. Camley

Mechanical interactions among cells in a growing microbial colony can significantly influence the colony's spatial genetic structure and, thus, evolutionary outcomes such as the fates of rare mutations. Here, we computationally investigate…

Soft Condensed Matter · Physics 2025-01-22 Mateusz Ratman , Jimmy Gonzalez Nuñez , Daniel A. Beller

Network science has emerged as a powerful tool through which we can study the higher-order architectural properties of the world around us. How human learners exploit this information remains an essential question. Here, we focus on the…

Neurons and Cognition · Quantitative Biology 2017-02-02 Elisabeth A. Karuza , Ari E. Kahn , Sharon L. Thompson-Schill , Danielle S. Bassett

Bacterial cellulose is an important class of biomaterials which can be grown in well-controlled laboratory and industrial conditions. The cellulose structure is affected by several biological, chemical and environmental factors, including…

Biological Physics · Physics 2021-07-28 Sung-Ha Hong , Jia Yang , Mahdi Davoodianidalik , Horst Punzmann , Michael Shats , Hua Xia

Microbial growth and division are fundamental processes relevant to many areas of life science. Of particular interest are homeostasis mechanisms, which buffer growth and division from accumulating fluctuations over multiple cycles. These…

Cell Behavior · Quantitative Biology 2022-10-12 Lee Susman , Maryam Kohram , Harsh Vashistha , Jeffrey T. Nechleba , Hanna Salman , Naama Brenner

A dynamical systems scenario for developmental cell biology is proposed, based on numerical studies of a system with interacting units with internal dynamics and reproduction. Diversification, formation of discrete and recursive types, and…

chao-dyn · Physics 2009-10-31 Kunihiko Kaneko , Chikara Furusawa

Using both numerical simulations and scaling arguments, we study the behavior of a random walker on a one-dimensional small-world network. For the properties we study, we find that the random walk obeys a characteristic scaling form. These…

Disordered Systems and Neural Networks · Physics 2009-11-10 E. Almaas , R. V. Kulkarni , D. Stroud

Flagellated bacteria are hydrodynamically attracted to rigid walls, yet past work shows a 'hovering' state where they swim stably at a finite height above surfaces. We use numerics and theory to reveal the physical origin of hovering.…

Biological Physics · Physics 2024-09-17 Pyae Hein Htet , Debasish Das , Eric Lauga

We introduce random walks in a sparse random environment on $\mathbb Z$ and investigate basic asymptotic properties of this model, such as recurrence-transience, asymptotic speed, and limit theorems in both the transient and recurrent…

Probability · Mathematics 2016-12-01 Anastasios Matzavinos , Alexander Roitershtein , Youngsoo Seol

Heterogeneity in physical and functional characteristics of cells (e.g. size, cycle time, growth rate, protein concentration) proliferates within an isogenic population due to stochasticity in intracellular biochemical processes and in the…

Cell Behavior · Quantitative Biology 2021-02-02 Harsh Vashistha , Maryam Kohram , Hanna Salman

The territory explored by a random walk is a key property that may be quantified by the number of distinct sites that the random walk visits up to a given time. The extent of this spatial exploration characterizes many important physical,…

Statistical Mechanics · Physics 2023-02-21 Léo Régnier , Maxim Dolgushev , S. Redner , Olivier Bénichou

During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tumble phase in which they change their orientation. When…

Analysis of PDEs · Mathematics 2025-05-19 Alain Blaustein

The random walk process underlies the description of a large number of real world phenomena. Here we provide the study of random walk processes in time varying networks in the regime of time-scale mixing; i.e. when the network connectivity…

Bacterial assemblies exhibit rich collective behaviors that control their biological functions, making them a relevant object of study from an active matter physics perspective. Dense bacterial suspensions self-organize into distinct…

Soft Condensed Matter · Physics 2025-04-08 Martin Maliet , Nicolas Fix-Boulier , Ludovic Berthier , Maxime Deforet