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Enzymes have been recently proposed to have mechanical activity associated with their chemical activity. In a number of recent studies, it has been reported that enzymes undergo enhanced diffusion in the presence of their corresponding…

Biological Physics · Physics 2021-04-07 Jaime Agudo-Canalejo , Tunrayo Adeleke-Larodo , Pierre Illien , Ramin Golestanian

We investigate the propagating profiles of a degenerate chemotaxis model describing the bacteria chemotaxis and consumption of oxygen by aerobic bacteria, in particular, the effect of the initial attractant distribution on bacterial…

Analysis of PDEs · Mathematics 2020-05-12 Tianyuan Xu , Shanming Ji , Ming Mei , Jingxue Yin

Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs, for example, in the adhesion of bacteria to surfaces at…

Statistical Mechanics · Physics 2024-01-12 Luca Angelani

Single enzyme chemotaxis is a phenomenon by which a non-equilibrium spatial distribution of an enzyme is created and maintained by concentration gradients of the substrate and product of the catalyzed reaction. These gradients can arise…

Soft Condensed Matter · Physics 2022-06-14 Niladri Sekhar Mandal , Ayusman Sen , R. Dean Astumian

Aggregation of chemotactic bacteria under a unimodal distribution of chemical cues was investigated by Monte Carlo (MC) simulation based on a kinetic transport equation, which considers an internal adaptation dynamics as well as a finite…

Analysis of PDEs · Mathematics 2022-09-05 Shugo Yasuda

For the purpose of understanding the quantum behavior such as quantum decoherence, fluctuations, dissipation, entanglement and teleportation of a mesoscopic or macroscopic object interacting with a general environment, we derive here a set…

Quantum Physics · Physics 2007-12-09 Chung-Hsien Chou , B. L. Hu , Ting Yu

We examine two basic assumptions of kinetic theory-- binary collisions and molecular chaos-- using numerical simulations of sheared granular materials. We investigate a wide range of densities and restitution coefficients and demonstrate…

Soft Condensed Matter · Physics 2015-06-25 Gregg Lois , Anael Lemaitre , Jean M. Carlson

We consider a phenotype-switching chemotaxis model for aggregation, in which a chemotactic population is capable of switching back and forth between a chemotaxing state (performing chemotactic movement) and a secreting state (producing the…

Analysis of PDEs · Mathematics 2022-10-11 Kevin J Painter , Michael Winkler

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

Kernel density estimation is a technique for approximating probability distributions. Here, it is applied to the calculation of mutual information on a metric space. This is motivated by the problem in neuroscience of calculating the mutual…

Information Theory · Computer Science 2014-05-20 R. Joshua Tobin , Conor J. Houghton

Motor enzymes are remarkable molecular machines that use the energy derived from the hydrolysis of a nucleoside triphosphate to generate mechanical movement, achieved through different steps that constitute their kinetic cycle. These…

Subcellular Processes · Quantitative Biology 2014-09-05 Luca Ciandrini , M. Carmen Romano , A. Parmeggiani

Bacterial communities such as biofilms are widely recognised as being important for survival and persistence of bacteria in harsh environments. Mechanistic models of biofilm growth indicate that the way in which the surface is seeded can…

Quantitative Methods · Quantitative Biology 2007-05-23 Leah R. Johnson

Experiments have recently shown the feasibility of utilising bacteria as micro-scale robotic devices, with special attention paid to the development of bacteria-driven micro-swimmers taking advantage of built-in actuation and sensing…

Soft Condensed Matter · Physics 2019-02-14 Christian Esparza Lopez , Albane Thery , Eric Lauga

This paper studies a chemotaxis system where cells move in response to a chemical signal within a confined habitat. The model includes external source terms that combine local and nonlocal growth with dampening effects. The main focus is on…

Analysis of PDEs · Mathematics 2025-11-11 Rafael Diaz Fuentes , Fatma Gamze Duzgun , Silvia Frassu , Giuseppe Viglialoro

Bacteria are ubiquitous in our daily lives, either as motile planktonic cells or as immobilized surface-attached biofilms. These different phenotypic states play key roles in agriculture, environment, industry, and medicine; hence, it is…

Populations and Evolution · Quantitative Biology 2021-12-07 Jenna A. Ott , Selena Chiu , Daniel B. Amchin , Tapomoy Bhattacharjee , Sujit S. Datta

Enzyme kinetics has historically been described by deterministic models, with the Michaelis-Menten (MM) equation serving as a paradigm. However, recent experimental and theoretical advances have made it clear that stochastic fluctuations,…

Molecular Networks · Quantitative Biology 2025-04-08 Jiaji Qu , Malini Rajbhandari

We consider a cell population structured by a positive real number, describing the number of P-glycoproteins carried by the cell. We are interested in the effect of those proteins on the growth of the population: those proteins are indeed…

Analysis of PDEs · Mathematics 2015-11-10 Pierre Magal , Gaël Raoul

We study the conditions for reactivity enhancement of catalytic processes in porous solids by use of molecular traffic control (MTC) as a function of grain size. We extend a recently introduced two dimensional model system to three…

Statistical Mechanics · Physics 2007-05-23 Andreas Brzank , Sungchul Kwon , Gunter Schuetz

A large number of biological systems - from bacteria to sheep - can be described as ensembles of self-propelled agents (active particles) with a complex internal dynamic that controls the agent's behavior: resting, moving slow, moving fast,…

Biological Physics · Physics 2021-09-03 L. Gómez-Nava , T. Goudon , F. Peruani

Bacteria such as Escherichia coli move about in a series of runs and tumbles: while a run state (straight motion) entails all the flagellar motors spinning in counterclockwise mode, a tumble is caused by a shift in the state of one or more…

Quantitative Methods · Quantitative Biology 2020-01-08 C. S. Renadheer , Ushasi Roy , Manoj Gopalakrishnan
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