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Biochemical networks are used in computational biology, to model the static and dynamical details of systems involved in cell signaling, metabolism, and regulation of gene expression. Parametric and structural uncertainty, as well as…

分子网络 · 定量生物学 2014-10-15 Ovidiu Radulescu , Alexander N. Gorban , Andrei Zinovyev , Vincent Noel

Complex systems of intracellular biochemical reactions have a central role in regulating cell identities and functions. Biochemical reaction systems are typically studied using the language and tools of graph theory. However, graph…

组合数学 · 数学 2021-09-24 Raffaella Mulas , Rubén J. Sánchez-García , Ben D. MacArthur

We consider a range of model potentials with metastable states undergoing molecular dynamics coupled to a thermal bath in the high friction regime, and consider how the optimal reaction coordinate depends on the diffusion anisotropy. For…

化学物理 · 物理学 2017-08-01 Pratyush Tiwary , B. J. Berne

Interacting-Particle Reaction Dynamics (iPRD) simulates the spatiotemporal evolution of particles that experience interaction forces and can react with one another. The combination of interaction forces and reactions enable a wide range of…

化学物理 · 物理学 2018-07-20 Christoph Fröhner , Frank Noé

We consider complex dynamical systems showing metastable behavior but no local separation of fast and slow time scales. The article raises the question of whether such systems exhibit a low-dimensional manifold supporting its effective…

Modern computational chemistry has reached a stage at which massive exploration into chemical reaction space with unprecedented resolution with respect to the number of potentially relevant molecular structures has become possible. Various…

化学物理 · 物理学 2020-04-27 Jan P. Unsleber , Markus Reiher

Reaction networks are a general formalism for describing collections of classical entities interacting in a random way. While reaction networks are mainly studied by chemists, they are equivalent to Petri nets, which are used for similar…

数学物理 · 物理学 2021-11-23 John C. Baez

In this study, we propose a Kernel-PCA model designed to capture structure-function relationships in a protein. This model also enables ranking of reaction coordinates according to their impact on protein properties. By leveraging machine…

计算与语言 · 计算机科学 2025-03-26 Parisa Mollaei , Amir Barati Farimani

Chemical reaction prediction remains a fundamental challenge in organic chemistry, where existing machine learning models face two critical limitations: sensitivity to input permutations (molecule/atom orderings) and inadequate modeling of…

机器学习 · 计算机科学 2026-02-03 Runhan Shi , Letian Chen , Gufeng Yu , Yang Yang

Irreversible random sequential deposition of interacting particles is widely used to model aggregation phenomena in physical, chemical, and biophysical systems. We show that in one dimension the exact time dependent solution of such…

统计力学 · 物理学 2019-06-07 Adrian Baule

The discovery of governing equations from scientific data has the potential to transform data-rich fields that lack well-characterized quantitative descriptions. Advances in sparse regression are currently enabling the tractable…

其他统计学 · 统计学 2022-06-08 Kathleen Champion , Bethany Lusch , J. Nathan Kutz , Steven L. Brunton

The standard analysis of reaction networks based on deterministic rate equations fails in confined geometries, commonly encountered in fields such as astrochemistry, thin film growth and cell biology. In these systems the small reactant…

其他凝聚态物理 · 物理学 2007-05-23 Ofer Biham , Joachim Krug , Azi Lipshtat , Thomas Michely

The use of fully or partially absorbing boundary conditions for diffusion-based problems has become paradigmatic in physical chemistry and biochemistry to describe reactions occurring in solutions or in living media. However, as chemical…

统计力学 · 物理学 2022-12-13 Francesco Piazza

Embedding efficient command operation into biochemical system has always been a research focus in synthetic biology. One of the key problems is how to sequence the chemical reactions that act as units of computation. The answer is to design…

动力系统 · 数学 2022-09-08 Xiaopeng Shi , Chuanhou Gao

Dynamical systems in biology are complex, and one often does not have comprehensive knowledge about the interactions involved. Chemical reaction network (CRN) inference aims to identify, from observing species concentrations over time, the…

统计方法学 · 统计学 2026-04-15 Yong See Foo , Adriana Zanca , Jennifer A. Flegg , Ivo Siekmann

Background: Nuclear reactions are complex, with a large number of possible channels. Understanding how different channels contribute to a given reaction is investigated by perturbing the continuous spectrum. Purpose: To develop tools to…

核理论 · 物理学 2024-06-28 Brady J. Martin , Wayne N. Polyzou

Sensitivity analysis of biochemical reactions aims at quantifying the dependence of the reaction dynamics on the reaction rates. The computation of the parameter sensitivities, however, poses many computational challenges when taking…

分子网络 · 定量生物学 2018-11-07 Vo Hong Thanh , Roberto Zunino , Corrado Priami

Model-independent identities and inequalities relating the various spin observables of a reaction are reviewed in a unified formalism, together with their implications for dynamical models, their physical interpretation, and the quantum…

高能物理 - 唯象学 · 物理学 2009-01-14 Xavier Artru , Mokhtar Elchikh , Jean-Marc Richard , Jacques Soffer , Oleg V. Teryaev

We introduce a variational approximation to the microscopic dynamics of rare conformational transitions of macromolecules. Within this framework it is possible to simulate on a small computer cluster reactions as complex as protein folding,…

软凝聚态物质 · 物理学 2015-02-19 S. a Beccara , L. Fant , P. Faccioli

Coarse-grained modeling in molecular simulations serves not only to extend accessible time and length scales beyond atomistic limits, but also to reduce high-dimensional chemical data to low-dimensional representations that expose the…

化学物理 · 物理学 2026-05-19 Michael N. Sakano , Alejandro Strachan