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Bacterial cells navigate around their environment by directing their movement along chemical gradients. This process, known as chemotaxis, can promote the rapid expansion of bacterial populations into previously unoccupied territories.…

Populations and Evolution · Quantitative Biology 2022-06-08 Avaneesh V. Narla , Jonas Cremer , Terry Hwa

Bacteria are able to respond to environmental signals by changing their rules of movement. When we take into account chemical signals in the environment, this behaviour is often called chemotaxis. At the individual-level, chemotaxis…

Analysis of PDEs · Mathematics 2007-05-23 Radek Erban , Hyung Ju Hwang

Different graphical plots involving the catalytic rate with the (initial) substrate concentration exist in the enzyme kinetics literature to estimate the reaction constants. But, none of these standard plots can unambiguously distinguish…

Chemical Physics · Physics 2019-11-14 Sharmistha Dhatt , Kinshuk Banerjee , Kamal Bhattacharyya

A stochastic model for the dynamics of enzymatic catalysis in explicit, effective solvents under physiological conditions is presented. Analytically-computed first passage time densities of a diffusing particle in a spherical shell with…

Biomolecules · Quantitative Biology 2015-06-04 Jeremy Schofield , Paul Inder , Raymond Kapral

We develop a theory of enzyme catalysis within biological cells where the substrate concentration [S](t) is time dependent, in contrast to the Michaelis-Menten theory that assumes a steady state. We find that the time varying concentration…

Statistical Mechanics · Physics 2011-05-27 Biman Jana , Biman Bagchi

In vivo, eukaryotic cells are embedded in a matrix environment, where they grow and develop. Generally, this extracellular matrix (ECM) is an anisotropic fibrous structure, through which macromolecules and biochemical signaling molecules at…

Biological Physics · Physics 2020-01-06 David Gomez , Sari Natan , Yair Shokef , Ayelet Lesman

Self-propulsion of particles is typically explained by phoretic mechanisms driven by externally imposed chemical, electric, or thermal gradients. In contrast, chemical reactions can enhance particle diffusion even in the absence of such…

Soft Condensed Matter · Physics 2025-10-08 A. Arango-Restrepo , J. M. Rubi

Bacteria can chemotactically migrate up attractant gradients by controlling run-and-tumble motility patterns. In addition to this well-known chemotactic behaviour, several soil and marine bacterial species perform chemokinesis: they adjust…

Biological Physics · Physics 2021-03-19 Theresa Jakuszeit , James Lindsey-Jones , François J. Peaudecerf , Ottavio A. Croze

Polymerases are protein enzymes that move along nucleic acid chains and catalyze template-based polymerization reactions during gene transcription and replication. The polymerases also substantially improve transcription or replication…

Biological Physics · Physics 2017-01-19 Jin Yu

A liquid volume containing dissolved solutes moves through a charged nanofluidic channel under the influence of the concentration gradient of the solutes, non-trivially modulated by the electrostatic interaction between ionic liquid and…

Fluid Dynamics · Physics 2023-08-31 Pranab Kumar Mondal

The competing influence of two types of interactions on surface diffusion is investigated: one of them, epsilon, acts between adsorbed particles, while the other one, eta, between activated and adsorbed particles. To this end, a specific…

Statistical Mechanics · Physics 2016-09-07 Igor Medved' , Anton Trnik , Robert Cerny

Diffusive transport of small molecules within the internal structures of biological and synthetic material systems is complex because the crowded environment presents chemical and physical barriers to mobility. We explored this mobility…

Soft Condensed Matter · Physics 2020-09-29 Rajarshi Guha , Subhadip Ghosh , Darrell Velegol , Peter J. Butler , Ayusman Sen , Jennifer L. Ross

In contexts ranging from embryonic development to bacterial ecology, cell populations migrate chemotactically along self-generated chemical gradients, often forming a propagating front. Here, we theoretically show that the stability of such…

Biological Physics · Physics 2022-06-07 Ricard Alert , Alejandro Martínez-Calvo , Sujit S. Datta

Active emulsions can spontaneously form self-propelled droplets or phoretic micropumps. It has been predicted that the interaction with their self-generated chemical fields can lead to multistable higher-order flows and chemodynamic…

The diffusion of a molecular motor in the presence of a constant external force is considered on the basis of a simple theoretical model. The motor is represented by a Brownian particle moving in a series of parabolic potentials placed…

Statistical Mechanics · Physics 2016-06-01 Ryota Shinagawa , Kazuo Sasaki

Kinetic theory and thermodynamics are applied to DNA polymerases with exonuclease activity, taking into account the dependence of the rates on the previously incorportated nucleotide. The replication fidelity is shown to increase…

Subcellular Processes · Quantitative Biology 2018-01-04 Pierre Gaspard

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

Chemotaxis is typically modeled in the context of cellular motion towards a static, exogenous source of chemoattractant. Here, we propose a time-dependent mechanism of chemotaxis in which a self-propelled particle ({\it e.g.}, a cell)…

Cell Behavior · Quantitative Biology 2026-05-12 Sarah A. Nowak , Buddhapriya Chakrabarti , Tom Chou , Ajay Gopinathan

Advection of entities induced by gradients in attractant concentration fields is observed via diffusiophoresis in colloids and via chemotaxis in microorganisms. Mathematically, both diffusiophoresis and chemotaxis follow similar…

Populations and Evolution · Quantitative Biology 2024-10-07 Benjamin M. Alessio , Ankur Gupta

Multicellular chemotaxis can occur via individually chemotaxing cells that are mechanically coupled. Alternatively, it can emerge collectively, from cells chemotaxing differently in a group than they would individually. Here we consider…

Biological Physics · Physics 2017-11-01 Julien Varennes , Sean Fancher , Bumsoo Han , Andrew Mugler
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