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Catalytically active macromolecules are envisioned as key building blocks in development of artificial nanomotors. However, theory and experiments report conflicting findings regarding their dynamics. The lack of consensus is mostly caused…

Statistical Mechanics · Physics 2022-09-15 Artem Ryabov , Mykola Tasinkevych

Many processes in biology involve both reactions and chemotaxis. However, to the best of our knowledge, the question of interaction between chemotaxis and reactions has not yet been addressed either analytically or numerically. We consider…

Analysis of PDEs · Mathematics 2011-04-05 Alexander Kiselev , Lenya Ryzhik

Ephemeral aggregations of bacteria are ubiquitous in the environment, where they serve as hotbeds of metabolic activity, nutrient cycling, and horizontal gene transfer. In many cases, these regions of high bacterial concentration are…

A microscopic model for thermal excitation of vibrational ground state of a molecule interacting with a condensed medium is developed. The master equation for evolution of occupancies of the vibrational levels is derived. The rate constant…

Statistical Mechanics · Physics 2011-03-04 V. I. Teslenko , D. Y. Iatsenko

The goal of this paper is to exhibit a critical mass phenomenon occuring in a model for cell self-organization via chemotaxis. The very well known dichotomy arising in the behavior of the macroscopic Keller-Segel system is derived at the…

Analysis of PDEs · Mathematics 2015-05-13 Nikolaos Bournaveas , Vincent Calvez

Enzymes show two distinct transport behaviors in the presence of their substrates in solution. First, their diffusivity enhances with increasing substrate concentration. In addition, enzymes perform directional motion toward regions with…

Biological Physics · Physics 2018-11-06 Farzad Mohajerani , Xi Zhao , Ambika Somasundar , Darrell Velegol , Ayusman Sen

Tethered particle motion experiments are versatile single-molecule techniques enabling one to address in vitro the molecular properties of DNA and its interactions with various partners involved in genetic regulations. These techniques…

Biological Physics · Physics 2019-09-05 Manoel Manghi , Nicolas Destainville , Annaël Brunet

We study a simple run-and-tumble random walk whose switching frequency from run mode to tumble mode and the reverse depend on a stochastic signal. We consider a particularly sharp, step-like dependence, where the run to tumble switching…

Cell Behavior · Quantitative Biology 2019-01-09 Subrata Dev , Sakuntala Chatterjee

Conspectus: The ability to navigate in chemical gradients, called chemotaxis, is crucial for the survival of microorganisms. It allows them to find food and to escape from toxins. Many microorganisms can produce the chemicals to which they…

Soft Condensed Matter · Physics 2018-10-03 Benno Liebchen , Hartmut Löwen

We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for explaining observed collective behaviors such as those in…

Analysis of PDEs · Mathematics 2026-01-12 Benoît Perthame , Francesco Salvarani , Shugo Yasuda

A simulation approach to the stochastic growth of bacterial towers is presented, in which a non-uniform and finite nutrient supply essentially determines the emerging structure through elementary chemotaxis. The method is based on cellular…

Populations and Evolution · Quantitative Biology 2009-11-10 J. O. Indekeu , C. V. Giuraniuc

Cells encounter a diverse array of physical and chemical signals as they navigate their natural surroundings. However, their response to the simultaneous presence of multiple cues remains elusive. Particularly, the impact of topography…

Analysis of PDEs · Mathematics 2026-03-10 Valeria Cuentas , Elio Espejo

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

Escherichia coli is a motile bacterium that moves up a chemoattractant gradient by performing a biased random walk composed of alternating runs and tumbles. This paper presents calculations of the chemotactic drift velocity vd (the mean…

Quantitative Methods · Quantitative Biology 2008-04-16 J. T. Locsei , T. J. Pedley

We introduce a numerical method to extract the parameters of run-and-tumble dynamics from experimental measurements of the intermediate scattering function. We show that proceeding in Laplace space is unpractical and employ instead renewal…

The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate…

Soft Condensed Matter · Physics 2015-06-16 Rodrigo Soto , Ramin Golestanian

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

Mechanical stresses stemming from environmental factors are a key determinant of cellular behavior and physiology. Yet, the role of self-induced biomechanical stresses in growing bacterial colonies has remained largely unexplored. Here, we…

Soft Condensed Matter · Physics 2023-11-27 René Wittmann , G. H. Philipp Nguyen , Hartmut Löwen , Fabian J. Schwarzendahl , Anupam Sengupta

Collective migration -- the directed, coordinated motion of many self-propelled agents -- is a fascinating emergent behavior exhibited by active matter that has key functional implications for biological systems. Extensive studies have…

Biological Physics · Physics 2022-06-07 Tapomoy Bhattacharjee , Daniel B. Amchin , Ricard Alert , J. A. Ott , Sujit S. Datta

Chemotaxis, the movement of an organism in response to chemical stimuli, is a typical feature of many microbiological systems. In particular, the social amoeba \textit{Disctyostelium discoideum} is widely used as a model organism, but it is…

Cell Behavior · Quantitative Biology 2025-08-04 Daniele Proverbio , Marco Maggiora
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