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In chemical reaction network theory, ordinary differential equations are used to model the temporal change of chemical species concentration. As the functional form of these ordinary differential equations systems is derived from an…

Molecular Networks · Quantitative Biology 2025-02-27 Anna C. M. Thöni , William E. Robinson , Yoram Bachrach , Wilhelm T. S. Huck , Tal Kachman

We present herein an extension of an algebraic statistical method for inferring biochemical reaction networks from experimental data, proposed recently in [3]. This extension allows us to analyze reaction networks that are not necessarily…

Molecular Networks · Quantitative Biology 2009-02-26 Gheorghe Craciun , Casian Pantea , Grzegorz A. Rempala

Direct numerical simulations of turbulent reacting flows involving millions of grid points and detailed chemical mechanisms with hundreds of species and thousands of reactions are computationally prohibitive. To address this challenge, we…

Machine Learning · Computer Science 2026-03-25 Manuru Nithin Padiyar , Priyabrat Dash , Konduri Aditya

A fundamental problem in computational chemistry is to find a set of reactants to synthesize a target molecule, a.k.a. retrosynthesis prediction. Existing state-of-the-art methods rely on matching the target molecule with a large set of…

Machine Learning · Computer Science 2021-08-23 Chence Shi , Minkai Xu , Hongyu Guo , Ming Zhang , Jian Tang

Accurately modeling chemical reactions in molecular dynamics simulations requires detailed pre- and post-reaction templates, often created through labor-intensive manual workflows. This work introduces a Python-based algorithm that…

Computational Engineering, Finance, and Science · Computer Science 2025-07-24 Julian Konrad , Robert Meißner

A variety of natural phenomena comprises a huge number of competing reactions and short-lived intermediates. Any study of such processes requires the discovery and accurate modeling of their underlying reaction network. However, this task…

Chemical Physics · Physics 2014-05-27 Paolo Elvati , Angela Violi

The pathway is a biological term that refers to a series of interactions between molecules in a cell that causes a certain product or a change in the cell. Pathway analysis is a powerful method for gene expression analysis. Through pathway…

Data Structures and Algorithms · Computer Science 2022-01-11 Lingran Xiao , Yanfei Wang , Shiying Li , Lingxi Chen , Shuaicheng Li

Quite generally, constraint-based metabolic flux analysis describes the space of viable flux configurations for a metabolic network as a high-dimensional polytope defined by the linear constraints that enforce the balancing of production…

Molecular Networks · Quantitative Biology 2013-09-24 Francesco Alessandro Massucci , Francesc Font-Clos , Andrea De Martino , Isaac Pérez Castillo

Chemical reaction networks (CRNs) model the behavior of chemical reactions in well-mixed solutions and they can be designed to perform computations. In this tutorial we give an overview of various computational models for CRNs. Moreover, we…

Emerging Technologies · Computer Science 2018-11-27 Robert Brijder

Metabolic pathways describe chains of enzymatic reactions. Their modelling is a key point to understand living systems. An enzymatic reaction is an interaction between one or several metabolites (substrates) and an enzyme (simple protein or…

Subcellular Processes · Quantitative Biology 2009-01-27 Charles Lales , N. Parisey , Jean-Pierre Mazat , Marie Beurton-Aimar

Reactions forming a pathway can be rewritten by making explicit the different molecular components involved in them. A molecular component represents a biological entity (e.g. a protein) in all its states (free, bound, degraded, etc.). In…

Computational Engineering, Finance, and Science · Computer Science 2013-10-01 Andrea Maggiolo-Schettini , Paolo Milazzo , Giovanni Pardini

Information flows by routes inside the network via mechanisms implemented in the model. These routes can be represented as graphs where nodes correspond to token representations and edges to operations inside the network. We automatically…

Computation and Language · Computer Science 2024-04-18 Javier Ferrando , Elena Voita

We present a systematic investigation using graph neural networks (GNNs) to model organic chemical reactions. To do so, we prepared a dataset collection of four ubiquitous reactions from the organic chemistry literature. We evaluate seven…

Machine Learning · Computer Science 2020-07-10 Serim Ryou , Michael R. Maser , Alexander Y. Cui , Travis J. DeLano , Yisong Yue , Sarah E. Reisman

Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a…

Dynamical Systems · Mathematics 2013-07-31 Wen-Long Jin

Training deep learning models takes an extremely long execution time and consumes large amounts of computing resources. At the same time, recent research proposed systems and compilers that are expected to decrease deep learning models…

Machine Learning · Computer Science 2022-05-11 Sean Parker , Sami Alabed , Eiko Yoneki

Chemical reaction mechanisms are the foundation of how chemists evaluate reactivity and feasibility, yet current Computer-Assisted Synthesis Planning (CASP) systems operate without this mechanistic reasoning. We introduce a computational…

Machine Learning · Computer Science 2026-04-20 Théo A. Neukomm , Zlatko Jončev , Philippe Schwaller

We present a family of algorithms for the fast determination of reaction paths and barriers in phase space and the computation of the corresponding rates. The method requires the reaction times be large compared to the microscopic time,…

Statistical Mechanics · Physics 2009-11-10 Sorin Tanase-Nicola , Jorge Kurchan

Metabolism is a fascinating cell machinery underlying life and disease and genome-scale reconstructions provide us with a captivating view of its complexity. However, deciphering the relationship between metabolic structure and function…

Molecular Networks · Quantitative Biology 2011-09-12 M. Angeles Serrano , Marian Boguna , Francesc Sagues

Flux balance analysis has proven an effective tool for analyzing metabolic networks. In flux balance analysis, reaction rates and optimal pathways are ascertained by solving a linear program, in which the growth rate is maximized subject to…

Optimization and Control · Mathematics 2018-04-10 Amir Akbari , Paul I. Barton

Accurate prediction of the physicochemical properties of molecular mixtures using graph neural networks remains a significant challenge, as it requires simultaneous embedding of intramolecular interactions while accounting for mixture…

Chemical Physics · Physics 2026-03-04 Jinming Fan , Chao Qian , Wilhelm T. S. Huck , William E. Robinson , Shaodong Zhou