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The automated inference of physically interpretable (bio)chemical reaction network models from measured experimental data is a challenging problem whose solution has significant commercial and academic ramifications. It is demonstrated,…

Neural and Evolutionary Computing · Computer Science 2014-12-22 Dominic P. Searson , Mark J. Willis , Allen Wright

Exploring large chemical reaction networks with automated exploration approaches and accurate quantum chemical methods can require prohibitively large computational resources. Here, we present an automated exploration approach that focuses…

Chemical Physics · Physics 2024-06-12 Moritz Bensberg , Markus Reiher

While the field of first-principles explorations into chemical reaction space has been continuously growing, the development of strategies for analyzing resulting chemical reaction networks (CRNs) is lagging behind. A CRN consists of…

Chemical Physics · Physics 2022-12-19 Paul L. Türtscher , Markus Reiher

Mapping the chemical reaction pathways and their corresponding activation barriers is a significant challenge in molecular simulation. Given the inherent complexities of 3D atomic geometries, even generating an initial guess of these paths…

Computational Physics · Physics 2025-01-24 Akihide Hayashi , So Takamoto , Ju Li , Yuta Tsuboi , Daisuke Okanohara

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

The modern thermodynamics of discrete systems is based on graph theory, which provides both algebraic methods to define observables and a geometric intuition of their meaning and role. However, because chemical reactions are usually…

Statistical Mechanics · Physics 2023-04-04 Sara Dal Cengio , Vivien Lecomte , Matteo Polettini

In the study of grain-surface chemistry in the interstellar medium, there exists much uncertainty regarding the reaction mechanisms with few constraints on the abundances of grain-surface molecules. Bayesian inference can be performed to…

Astrophysics of Galaxies · Physics 2020-12-07 Johannes Heyl , Serena Viti , Jonathan Holdship , Stephen M. Feeney

Chemical reactions occur in energy, environmental, biological, and many other natural systems, and the inference of the reaction networks is essential to understand and design the chemical processes in engineering and life sciences. Yet,…

Molecular Networks · Quantitative Biology 2021-01-22 Weiqi Ji , Sili Deng

A detailed algorithmic explanation is required for how a network of chemical reactions can generate the sophisticated behavior displayed by living cells. Though several previous works have shown that reaction networks are computationally…

Emerging Technologies · Computer Science 2018-04-25 Muppirala Viswa Virinchi , Abhishek Behera , Manoj Gopalkrishnan

The Bond Graph approach and the Chemical Reaction Network approach to modelling biomolecular systems developed independently. This paper brings together the two approaches by providing a bond graph interpretation of the chemical reaction…

Molecular Networks · Quantitative Biology 2019-07-04 Peter J. Gawthrop , Edmund J. Crampin

Reaction mechanism search tools have demonstrated the ability to provide insights into likely products and rate-limiting steps of reacting systems. However, reactions involving several concerted bond changes - as can be found in many key…

Machine Learning · Computer Science 2025-10-15 Nicholas Casetti , Dylan Anstine , Olexandr Isayev , Connor W. Coley

The large-scale properties of chemical reaction systems, such as the metabolism, can be studied with graph-based methods. To do this, one needs to reduce the information -- lists of chemical reactions -- available in databases. Even for the…

Molecular Networks · Quantitative Biology 2009-09-25 Petter Holme

Chemical reaction networks describe interactions between biochemical species. Once an underlying reaction network is given for a biochemical system, the system dynamics can be modelled with various mathematical frameworks such as continuous…

Probability · Mathematics 2023-06-22 German Enciso , Radek Erban , Jinsu Kim

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…

Molecular Networks · Quantitative Biology 2014-10-15 Ovidiu Radulescu , Alexander N. Gorban , Andrei Zinovyev , Vincent Noel

Autonomous computations that rely on automated reaction network elucidation algorithms may pave the way to make computational catalysis on a par with experimental research in the field. Several advantages of this approach are key to…

Materials Science · Physics 2022-03-18 Miguel Steiner , Markus Reiher

In the first part of this paper, we propose new optimization-based methods for the computation of preferred (dense, sparse, reversible, detailed and complex balanced) linearly conjugate reaction network structures with mass action dynamics.…

Dynamical Systems · Mathematics 2014-07-15 Matthew D. Johnston , David Siegel , Gábor Szederkényi

Finding representative reaction pathways is necessary for understanding mechanisms of molecular processes, but is considered to be extremely challenging. We propose a new method to construct reaction paths based on mean first-passage times.…

Chemical Physics · Physics 2015-06-26 Sanghyun Park , Klaus Schulten

Motivated by recent progress on the interplay between graph theory, dynamics, and systems theory, we revisit the analysis of chemical reaction networks described by mass action kinetics. For reaction networks possessing a thermodynamic…

Optimization and Control · Mathematics 2012-06-19 Arjan van der Schaft , Shodhan Rao , Bayu Jayawardhana

Disentangling the mechanistic details of a chemical reaction pathway is a hard problem that often requires a considerable amount of chemical intuition and a component of luck. Experiments struggle in observing short-life metastable…

Chemical Physics · Physics 2019-08-01 Valerio Rizzi , Dan Mendels , Emilia Sicilia , Michele Parrinello

In this paper, we propose a new method to identify biochemical reaction networks (i.e. both reactions and kinetic parameters) from heterogeneous datasets. Such datasets can contain (a) data from several replicates of an experiment performed…

Systems and Control · Computer Science 2015-09-21 Wei Pan , Ye Yuan , Lennart Ljung , Jorge Goncalves , Guy-Bart Stan