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The stochastic trajectories of molecules in living cells, as well as the dynamics in many other complex systems, often exhibit memory in their path over long periods of time. In addition, these systems can show dynamic heterogeneities due…

Unraveling bacterial strategies for spatial exploration is crucial for understanding the complexity in the organization of life. Bacterial motility determines the spatio-temporal structure of microbial communities, controls infection…

Trajectories of endosomes inside living eukaryotic cells are highly heterogeneous in space and time and diffuse anomalously due to a combination of viscoelasticity, caging, aggregation and active transport. Some of the trajectories display…

亚细胞过程 · 定量生物学 2021-07-28 Nickolay Korabel , Daniel Han , Alessandro Taloni , Gianni Pagnini , Sergei Fedotov , Viki Allan , Thomas A. Waigh

Motivated by subdiffusive motion of bio-molecules observed in living cells we study the stochastic properties of a non-Brownian particle whose motion is governed by either fractional Brownian motion or the fractional Langevin equation and…

统计力学 · 物理学 2016-09-08 Jae-Hyung Jeon , Ralf Metzler

Escherichia coli bacterium is a rod-shaped organism composed of a complex double membrane structure. Knowledge of electric field driven ion transport through both membranes and the evolution of their induced permeabilization has important…

生物大分子 · 定量生物学 2023-11-30 Juan González-Cuevas , Ricardo Argüello , Marcos Florentin , Franck M. André , Lluis Mir

Cell migration often exhibits long-range temporal correlations and anomalous diffusion, even in the absence of external guidance cues such as chemical gradients or topographical constraints. These observations raise a fundamental question:…

Bacteria such as Escherichia coli (E. coli) exhibit biased motion if kept in a spatially non-uniform chemical environment. Here, we bring out unique time-dependent characteristics of bacterial chemotaxis, in response to a diffusing spatial…

Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state,…

软凝聚态物质 · 物理学 2025-10-30 Agniva Datta , Carsten Beta , Robert Großmann

We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

统计力学 · 物理学 2025-09-24 Fernando Peruani , Debasish Chaudhuri

Bacterial migration through confined spaces is critical for several phenomena like: biofilm formation, bacterial transport in soils, and bacterial therapy against cancer . In the present work, \textit{E. coli} (strain K12-MG1655 WT)…

The organization of interphase chromosomes in a number of species is starting to emerge thanks to advances in a variety of experimental techniques. However, much less is known about the dynamics, especially in the functional states of…

生物物理 · 物理学 2024-03-20 Sucheol Shin , Guang Shi , Hyun Woo Cho , D. Thirumalai

Active Brownian motion with intermittent direction reversals are common in a class of bacteria like {\it Myxococcus xanthus} and {\it Pseudomonas putida}. We show that, for such a motion in two dimensions, the presence of the two time…

统计力学 · 物理学 2021-08-04 Ion Santra , Urna Basu , Sanjib Sabhapandit

Cell movement, for example during embryogenesis or tumor metastasis, is a complex dynamical process resulting from an intricate interplay of multiple components of the cellular migration machinery. At first sight, the paths of migrating…

细胞行为 · 定量生物学 2009-04-17 Peter Dieterich , Rainer Klages , Roland Preuss , Albrecht Schwab

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…

偏微分方程分析 · 数学 2016-04-15 Casimir Emako , Charlène Gayrard , Axel Buguin , Luís Neves de Almeida , Nicolas Vauchelet

Bacterial motility, and in particular repulsion or attraction towards specific chemicals, has been a subject of investigation for over 100 years, resulting in detailed understanding of bacterial chemotaxis and the corresponding sensory…

生物物理 · 物理学 2022-06-08 Jerko Rosko , Vincent Martinez , Wilson Poon , Teuta Pilizota

The bacterium E.Coli swims in a zig-zag manner, in a series of straight runs and tumbles occurring alternately, with the run-durations dependent on the local spatial gradient of chemo-attractants/repellants. This enables the organism to…

细胞行为 · 定量生物学 2008-12-31 Melissa Reneaux , Manoj Gopalakrishnan

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, we review the Brownian motion of a particle moving in the vicinity of a…

软凝聚态物质 · 物理学 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle

We investigated the viscoelastic response of model interphase chromosomes by tracking the three-dimensional motion of hundreds of dispersed Brownian particles of sizes ranging from the thickness of the chromatin fiber up to slightly above…

生物大分子 · 定量生物学 2015-01-06 Manon Valet , Angelo Rosa

This article studies typical dynamics and fluctuations for a slow-fast dynamical system perturbed by a small fractional Brownian noise. Based on an ergodic theorem with explicit rates of convergence, which may be of independent interest, we…

概率论 · 数学 2020-08-20 Solesne Bourguin , Siragan Gailus , Konstantinos Spiliopoulos

Escherichia coli is a motile bacterium that moves up a chemoattractant gradient by performing a biased random walk composed of alternating runs and tumbles. Previous models of run and tumble chemotaxis neglect one or more features of the…

定量方法 · 定量生物学 2007-06-26 J. T. Locsei
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