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Enzymes are nano-scale machines that have evolved to drive chemical reactions out of equilibrium in the right place at the right time. Given the complexity and specificity of enzymatic function, bottom-up design of enzymes presents a…

Soft Condensed Matter · Physics 2025-05-28 Michalis Chatzittofi , Jaime Agudo-Canalejo , Ramin Golestanian

Enzymes within biochemical pathways are often colocalized, yet the consequences of specific spatial enzyme arrangements remain poorly understood. We study the impact of enzyme arrangement on reaction efficiency within a reaction-diffusion…

Molecular Networks · Quantitative Biology 2013-10-14 Alexander Buchner , Filipe Tostevin , Ulrich Gerland

The more we learn about the cytoplasm of cells, the more we realise that the cytoplasm is not uniform but instead is highly inhomogeneous. In any inhomogeneous solution, there are concentration gradients, and particles move either up or…

Subcellular Processes · Quantitative Biology 2019-04-03 Richard P. Sear

Flows enabled by phoretic mechanisms are of significant interest in several biological and biomedical processes, such as bacterial motion and targeted drug delivery. Here, we develop a homogenization-based macroscopic boundary condition…

Chemotaxis, the directional locomotion of cells towards a source of a chemical gradient, is an integral part of many biological processes - for example, bacteria motion, single-cell or multicellular organisms development, immune response,…

Analysis of PDEs · Mathematics 2021-03-29 Yishu Gong , Alexander Kiselev

Biomolecular condensates help organize the cell cytoplasm and nucleoplasm into spatial compartments with different chemical compositions. A key feature of such compositional patterning is the local enrichment of enzymatically active…

Biological Physics · Physics 2024-08-06 Andriy Goychuk , Leonardo Demarchi , Ivan Maryshev , Erwin Frey

The high accuracy exhibited by biological information transcription processes is due to kinetic proofreading, i.e., by a mechanism which reduces the error rate of the information-handling process by driving it out of equilibrium. We provide…

Statistical Mechanics · Physics 2015-06-18 Riccardo Rao , Luca Peliti

Aerotaxis is the particular form of chemotaxis in which oxygen plays the role of both the attractant and the repellent. Aerotaxis occurs without methylation adaptation, and it leads to fast and complete aggregation toward the most favorable…

Classical Analysis and ODEs · Mathematics 2015-06-26 Barbara "Bori" C. Mazzag

Enzymes are on the front lines of evolution. All living organisms rely on highly efficient, specific enzymes for growth, sustenance, and reproduction; and many diseases are a consequence of a mutation on an enzyme that affects its catalytic…

Molecular Networks · Quantitative Biology 2009-01-07 Nilou Ataie

Key enzymatic processes in biology use the nonequilibrium error correction mechanism called kinetic proofreading to enhance their specificity. Kinetic proofreading typically requires several dedicated structural features in the enzyme, such…

Molecular Networks · Quantitative Biology 2020-05-26 Vahe Galstyan , Kabir Husain , Fangzhou Xiao , Arvind Murugan , Rob Phillips

We consider the lateral diffusion of a protein interacting with the curvature of the membrane. The interaction energy is minimized if the particle is at a membrane position with a certain curvature that agrees with the spontaneous curvature…

Soft Condensed Matter · Physics 2008-12-10 Stefan M. Leitenberger , Ellen Reister-Gottfried , Udo Seifert

We (Riedel et al. Nature 2015), as well as others, have showed that some enzymes exhibit enhanced diffusion when active. In a recent PRL, (Golestanian, PRL 2015, arXiv:1508.03219) R.Golestanian theoretically examines a number of possible…

Biological Physics · Physics 2016-08-22 K. Tsekouras , C. Riedel , R. Gabizon , S. Marqusee , S. Pressé , C. Bustamante

Microscopic dynamical aspects of the propulsion of nanomotors by self-phoretic mechanisms are considered. Propulsion by self-diffusiophoresis relies on the mechanochemical coupling between the fluid velocity field and the concentration…

Statistical Mechanics · Physics 2018-01-04 Pierre Gaspard , Raymond Kapral

We suppose that a rigid spherical particle is put into a binary fluid mixture with the critical composition in the homogeneous phase near the demixing critical point. A short-range interaction is assumed between each component and the…

Fluid Dynamics · Physics 2022-05-26 Youhei Fujitani

Classical descriptions of enzyme kinetics ignore the physical nature of the intracellular environment. Main implicit assumptions behind such approaches are that reactions occur in compartment volumes which are large enough so that molecular…

Subcellular Processes · Quantitative Biology 2009-10-26 Ramon Grima

We discuss the shear viscosity of a Newtonian solution of catalytic enzymes and substrate molecules. The enzyme is modeled as a two-state dimer consisting of two spherical domains connected with an elastic spring. The enzymatic…

Soft Condensed Matter · Physics 2020-01-30 Yuto Hosaka , Shigeyuki Komura , David Andelman

A protein undergoes conformational dynamics with multiple time scales, which results in fluctuating enzyme activities. Recent studies in single molecule enzymology have observe this "age-old" dynamic disorder phenomenon directly. However,…

Biomolecules · Quantitative Biology 2009-11-10 Zhanghan Wu , Vlad Elgart , Hong Qian , Jianhua Xing

Biological nanomachines are nanometer-size macromolecular complexes that catalyze chemical reactions in the presence of substrate molecules. The catalytic functions carried out by such nanomachines in the cytoplasm, and biological membranes…

Soft Condensed Matter · Physics 2022-11-22 Yuto Hosaka , Shigeyuki Komura

Physics of self-propelled objects at the nanoscale is a rapidly developing research field where recent experiments focused on motion of individual catalytic enzymes. Contrary to the experimental advancements, theoretical understanding of…

Soft Condensed Matter · Physics 2022-08-29 Artem Ryabov , Mykola Tasinkevych

This paper introduces a reaction-diffusion-chemotaxis model for bacterial aggregation patterns on the surface of thin agar plates. It is based on the non-linear degenerate cross diffusion model proposed by Kawasaki et al. (J. of Theor.…

Cell Behavior · Quantitative Biology 2013-01-23 J. Francisco Leyva , Carlos Malaga , Ramon G. Plaza