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The analysis of complex reaction networks is of great importance in several chemical and biochemical fields (interstellar chemistry, prebiotic chemistry, reaction mechanism, etc). In this article, we propose to simultaneously refine and…

Molecular Networks · Quantitative Biology 2008-03-11 Raphaël Plasson , Hugues Bersini , Axel Brandenburg

In the Matrix approach to graph transformation we represent simple digraphs and rules with Boolean matrices and vectors, and the rewriting is expressed using Boolean operations only. In previous works, we developed analysis techniques…

Discrete Mathematics · Computer Science 2009-12-14 Pedro Pablo Perez Velasco

Structure-based coarse graining of molecular systems offers a systematic route to reproduce the many-body potential of mean force. Unfortunately, common strategies are inherently limited by the molecular mechanics force field employed.…

Soft Condensed Matter · Physics 2018-12-27 Tristan Bereau , Joseph F. Rudzinski

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…

Quantitative Methods · Quantitative Biology 2023-10-06 Taylor Kearney , Mark B. Flegg

The limits of molecular dynamics (MD) simulations of macromolecules are steadily pushed forward by the relentless developments of computer architectures and algorithms. This explosion in the number and extent (in size and time) of MD…

Graph Convolutional Networks (GCNs) have recently been shown to be quite successful in modeling graph-structured data. However, the primary focus has been on handling simple undirected graphs. Multi-relational graphs are a more general and…

Machine Learning · Computer Science 2020-01-22 Shikhar Vashishth , Soumya Sanyal , Vikram Nitin , Partha Talukdar

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…

Combinatorics · Mathematics 2021-09-24 Raffaella Mulas , Rubén J. Sánchez-García , Ben D. MacArthur

This work is about diagrammatic languages, how they can be represented, and what they in turn can be used to represent. More specifically, it focuses on representations and applications of string diagrams. String diagrams are used to…

Category Theory · Mathematics 2012-03-23 Aleks Kissinger

Experimental validation of chemical processes is slow and costly, limiting exploration in materials discovery. Machine learning can prioritize promising candidates, but existing data in patents and literature is heterogeneous and difficult…

Chemical Physics · Physics 2025-12-09 Mikhail Tsitsvero , Atsuyuki Nakao , Hisaki Ikebata

The design and synthesis of complex and large mimicked biochemical networks de novo is an unsolved problem in synthetic biology. To address this limitation without resorting to ad hoc computations and experiments, a predictive mathematical…

Biological Physics · Physics 2015-01-21 Eisuke Chikayama , R. Craig Everroad

The mathematical formalisms used to model biological systems induce both latent and ambiguous assumptions that can limit or distort their representational capabilities. Developing formalisms that can represent systems more precisely is…

Quantitative Methods · Quantitative Biology 2026-05-25 Léo Diaz , Sean T. Vittadello , Michael P. H. Stumpf

Machine learning on graphs is an important and ubiquitous task with applications ranging from drug design to friendship recommendation in social networks. The primary challenge in this domain is finding a way to represent, or encode, graph…

Social and Information Networks · Computer Science 2018-04-11 William L. Hamilton , Rex Ying , Jure Leskovec

The recent contrastive learning methods, due to their effectiveness in representation learning, have been widely applied to modeling graph data. Random perturbation is widely used to build contrastive views for graph data, which however,…

Machine Learning · Computer Science 2023-07-04 Yucheng Shi , Kaixiong Zhou , Ninghao Liu

This work presents the use of graph learning for the prediction of multi-step experimental outcomes for applications across experimental research, including material science, chemistry, and biology. The viability of geometric learning for…

Machine Learning · Computer Science 2024-08-13 Amanda A. Volk , Robert W. Epps , Jeffrey G. Ethier , Luke A. Baldwin

We consider global dynamics of reaction systems as introduced by Ehrenfeucht and Rozenberg. The dynamics is represented by a directed graph, the so-called transition graph, and two reaction systems are considered equivalent if their…

Combinatorics · Mathematics 2018-08-07 Daniela Genova , Hendrik Jan Hoogeboom , Nataša Jonoska

We tackle the problem of attributed graph transformations and propose a new algorithmic approach for defining parallel graph transformations allowing overlaps. We start by introducing some abstract operations over graph structures. Then, we…

Logic in Computer Science · Computer Science 2018-08-10 Thierry Boy de la Tour , Rachid Echahed

The use of symbolic knowledge representation and reasoning as a way to resolve the lack of transparency of machine learning classifiers is a research area that lately attracts many researchers. In this work, we use knowledge graphs as the…

Artificial Intelligence · Computer Science 2022-02-09 Edmund Dervakos , Orfeas Menis-Mastromichalakis , Alexandros Chortaras , Giorgos Stamou

Starting from the detailed catalytic mechanism of a biocatalyst we provide a coarse-graining procedure which, by construction, is thermodynamically consistent. This procedure provides stoichiometries, reaction fluxes (rate laws), and…

Statistical Mechanics · Physics 2018-04-27 Artur Wachtel , Riccardo Rao , Massimiliano Esposito

Many applications of graph transformation require rules that change a graph without introducing new consistency violations. When designing such rules, it is natural to think about the desired outcome state, i.e., the desired effect, rather…

Logic in Computer Science · Computer Science 2023-05-08 Jens Kosiol , Daniel Strüber , Gabriele Taentzer , Steffen Zschaler

Molecular graph representation learning is widely used in chemical and biomedical research. While pre-trained 2D graph encoders have demonstrated strong performance, they overlook the rich molecular domain knowledge associated with…

Machine Learning · Computer Science 2025-10-09 Xingtong Yu , Chang Zhou , Xinming Zhang , Yuan Fang