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Moment approximation methods are gaining increasing attention for their use in the approximation of the stochastic kinetics of chemical reaction systems. In this paper we derive a general moment expansion method for any type of propensities…

分子网络 · 定量生物学 2015-06-15 Angelique Ale , Paul Kirk , Michael P. P. Stumpf

Given a linear system of equations $A\boldsymbol{x}=\boldsymbol{b}$, quantum linear system solvers (QLSSs) approximately prepare a quantum state $|\boldsymbol{x}\rangle$ for which the amplitudes are proportional to the solution vector…

量子物理 · 物理学 2026-04-10 Alexander M. Dalzell

The quasi-steady-state approximation (QSSA) is a standard technique for reducing the complexity of chemical reaction networks (CRNs). The validity of any QSSA-based model is restricted to specific parameter regimes. Selecting the…

动力系统 · 数学 2026-01-21 Timothy Earl Figueroa Lapuz , Martin Wechselberger

Identifying transition states (TSs), the high-energy configurations that molecules pass through during chemical reactions, is essential for understanding and designing chemical processes. However, accurately and efficiently identifying…

化学物理 · 物理学 2025-07-23 Samir Darouich , Vinh Tong , Tanja Bien , Johannes Kästner , Mathias Niepert

Computing accurate rate constants for catalytic events occurring at the surface of a given material represents a challenging task with multiple potential applications in chemistry. To address this question, we propose an approach based on a…

Quantum indistinguishability plays a crucial role in many low-energy physical phenomena, from quantum fluids to molecular spectroscopy. It is, however, typically ignored in most high temperature processes, particularly for ionic…

化学物理 · 物理学 2018-09-20 Matthew P. A. Fisher , Leo Radzihovsky

Enzyme-catalysed reactions involve two distinct timescales. There is a short timescale on which enzymes bind to substrate molecules to produce bound complexes, and a comparatively long timescale on which the complex is transformed into a…

定量方法 · 定量生物学 2023-10-06 Taylor Kearney , Mark B. Flegg

We perform quantum Monte Carlo (QMC) calculations to determine minimum energy pathways of simple chemical reactions, and compare the computed geometries and reaction barriers with those obtained with density functional theory (DFT) and…

化学物理 · 物理学 2015-06-12 Sebastiano Saccani , Claudia Filippi , Saverio Moroni

Biological systems produce outputs in response to variable inputs. Input-output relations tend to follow a few regular patterns. For example, many chemical processes follow the S-shaped Hill equation relation between input concentrations…

分子网络 · 定量生物学 2013-12-11 Steven A. Frank

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

量子物理 · 物理学 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

The sequence of amino acid monomers in the primary structure of a protein is decided by the corresponding sequence of codons (triplets of nucleic acid monomers) on the template messenger RNA (mRNA). The polymerization of a protein, by…

生物物理 · 物理学 2017-06-02 Annwesha Dutta , Debashish Chowdhury

We introduce KiNetX, a fully automated meta-algorithm for the kinetic analysis of complex chemical reaction networks derived from semi-accurate but efficient electronic structure calculations. It is designed to (i) accelerate the automated…

化学物理 · 物理学 2019-01-11 Jonny Proppe , Markus Reiher

Statistical mechanics provides an effective framework to investigate information processing in biochemical reactions. Within such framework far-reaching analogies are established among (anti-) cooperative collective behaviors in chemical…

统计力学 · 物理学 2021-05-26 Elena Agliari , Adriano Barra , Lorenzo Dello Schiavo , Antonio Moro

Electron Transfer (ET) reactions are modeled by the dynamics of a quantum two-level system (representing the electronic state) coupled to a thermalized bath of classical harmonic oscillators (representing the nuclei degrees of freedom).…

化学物理 · 物理学 2014-11-24 Serge Aubry

Efficient and reliable identification and optimization of transition state structures is a longstanding challenge in computational chemistry. Popular chain-of-states methods require hundreds if not thousands of ab initio calculations to…

化学物理 · 物理学 2025-11-27 Diptarka Hait , Jan D. Estrada Pabón , Martin Stöhr , Todd J. Martínez

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…

量子物理 · 物理学 2009-10-31 Aurel Bulgac , Giu Do Dand , Dimitri Kusnezov

A new steady-state kinetic model of ammonia decomposition is presented and analyzed regarding the electronic properties of metal catalysts. The model is based on the classical Temkin-Ertl mechanism and modified in accordance with…

化学物理 · 物理学 2020-08-21 Nigora Turaeva , Rebecca Fushimi , Gregory Yablonsky

Recently, Gorban (2021) analysed some kinetic paradoxes of the transition state theory and proposed its revision that gave the "entangled mass action law", in which new reactions were generated as an addition to the reaction mechanism under…

化学物理 · 物理学 2023-12-19 A. N. Kirdin , S. V. Stasenko

We describe a path-integral molecular dynamics implementation of our recently developed golden-rule quantum transition-state theory (GR-QTST). The method is applied to compute the reaction rate in various models of electron transfer and…

化学物理 · 物理学 2020-01-08 Wei Fang , Manish J. Thapa , Jeremy O. Richardson

Understanding grain-surface processes is crucial to interpreting the chemistry of the ISM. However, accurate surface chemistry models are computationally expensive and are difficult to integrate with gas-phase simulations. A new…

天体物理学 · 物理学 2009-11-13 R. T. Garrod