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In most natural sciences there is currently the insight that it is necessary to bridge gaps between different processes which can be observed on different scales. This is especially true in the field of chemical reactions where the…

Molecular Networks · Quantitative Biology 2008-03-03 L. Sbano , M. Kirkilionis

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

Local interactions among biomolecules, and the role played by their environment, have gained increasing attention in modelling biochemical reactions. By defining the automaton of molecular perceptions, we explore an agent-based…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 Stefano Maestri , Emanuela Merelli

The adoption of detailed mechanisms for chemical kinetics often poses two types of severe challenges: First, the number of degrees of freedom is large; and second, the dynamics is characterized by widely disparate time scales. As a result,…

Dynamical Systems · Mathematics 2025-10-01 Eliodoro Chiavazzo , C. William Gear , Carmeline J. Dsilva , Neta Rabin , Ioannis G. Kevrekidis

A model multilevel molecule described by two sets of rotational internal energy levels of different parity and degenerate ground states, coupled by a constant interaction, is considered, by assuming that the random collisions in a gas of…

Quantum Physics · Physics 2013-05-31 Filippo Giraldi , Francesco Petruccione

Our understanding of the physics of biological molecules, such as proteins and DNA, is limited because the approximations we usually apply to model inert materials are not in general applicable to soft, chemically inhomogeneous systems. The…

Quantum Physics · Physics 2010-07-13 Sarah Harris , Vivien M. Kendon

Classical theories of chemical kinetics assume independent reactions in dilute solutions, whose rates are determined by mean concentrations. In condensed matter, strong interactions alter chemical activities and create inhomogeneities that…

Materials Science · Physics 2013-04-17 Martin Z. Bazant

The general theory of a complex system of nonlinear chemical reactions is a primary language of chemistry that includes chemical engineering and cellular biochemistry. Its significance as an analytical framework, however, has not been fully…

Chemical Physics · Physics 2025-10-21 Liu Hong , Hong Qian

We studied through Monte Carlo simulations, the kinetics of the two-species diffusion-limited reaction model with same species excluded volume interaction in substrates embedded on a square lattice ranging in occupancy from a fractal…

Statistical Mechanics · Physics 2007-05-23 N. J. Goncalves , J. A. M. S. Duarte , A. Cadilhe

Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

Statistical Mechanics · Physics 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

The classical theory of enzymatic inhibition aims to quantitatively describe the effect of certain molecules -- called inhibitors -- on the progression of enzymatic reactions, but growing signs indicate that it must be revised to keep pace…

Quantitative Methods · Quantitative Biology 2020-10-27 Tal Robin , Shlomi Reuveni , Michael Urbakh

Predicting the degradation processes of molecules over long timescales is a key aspect of industrial materials design. However, it is made computationally challenging by the need to construct large networks of chemical reactions that are…

Chemical Physics · Physics 2025-05-02 Joe Gilkes , Mark Storr , Reinhard J. Maurer , Scott Habershon

Genetically identical cells under the same environmental conditions can show strong variations in protein copy numbers due to inherently stochastic events in individual cells. We here develop a theoretical framework to address how…

Subcellular Processes · Quantitative Biology 2017-08-23 Pan-Jun Kim , Nathan D. Price

Reactions with enzymes are critical in biochemistry, where the enzymes act as catalysis in the process. One of the most used mechanisms for modeling enzyme-catalyzed reactions is the Michaelis-Menten (MM) kinetic. In the ODE level, i.e.…

Analysis of PDEs · Mathematics 2023-03-15 Bao Quoc Tang , Bao-Ngoc Tran

Herein, epoxy resin is cured by coupling quantum chemical (QC) calculations with molecular dynamics (MD) simulations that enable parameter-free prediction of material characteristics. A polymer network is formed by the reaction between base…

The molecular energies of chemical systems have been successfully calculated on quantum computers, however, more attention has been paid to the dynamic process of chemical reactions in practical application, especially in catalyst design,…

Quantum Physics · Physics 2023-03-28 Qiankun Gong , Qingmin Man , Ye Li , Menghan Dou , Qingchun Wang , Yu-Chun Wu , Guo-Ping Guo

Understanding the thermodynamics of the duplication process is a fundamental step towards a comprehensive physical theory of biological systems. However, the immense complexity of real cells obscures the fundamental tensions between energy…

Statistical Mechanics · Physics 2018-12-07 Bernat Corominas-Murtra

Cells generally convert nutrient resources to useful products via energy transduction. Accordingly, the thermodynamic efficiency of this conversion process is one of the most essential characteristics of living organisms. However, although…

Biological Physics · Physics 2016-05-04 Yusuke Himeoka , Kunihiko Kaneko

We present a microscopic approach to quantum dissipation and sketch the derivation of the kinetic equation describing the evolution of a simple quantum system in interaction with a complex quantum system. A typical quantum complex system is…

Quantum Physics · Physics 2009-10-31 Aurel Bulgac , Giu Do Dand , Dimitri Kusnezov

A simple model for the formation of the polymer-enzyme conjugates has been proposed and described using corresponding extension of the Wertheim's first-order thermodynamic perturbation theory (TPT1) for the system of associating chain…

Soft Condensed Matter · Physics 2025-03-12 Halyna Butovych , Yurij V. Kalyuzhnyi , Taras Patsahan , Jaroslav Ilnytskyi
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