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Many physical systems--from mechanical lattices and electrical circuits to biological tissues and architected metamaterials--can be understood as networks transmitting physical quantities. We present a unified mathematical framework for…

Soft Condensed Matter · Physics 2025-08-07 José M. Ortiz-Tavárez , William Stephenson , Xiaoming Mao

This article is addressing a recurrent problem in biology: mining newly built large scale networks. Our approach consists in comparing these new networks to well known ones. The visual backbone of this comparative analysis is provided by a…

Quantitative Methods · Quantitative Biology 2008-12-05 Romain Bourqui , Fabien Jourdan

Temporal graphs represent the dynamic relationships among entities and occur in many real life application like social networks, e commerce, communication, road networks, biological systems, and many more. They necessitate research beyond…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Srikanta Bedathur

Metabolism plays a central role in cell physiology because it provides the molecular machinery for growth. At the genome-scale, metabolism is made up of thousands of reactions interacting with one another. Untangling this complexity is key…

Molecular Networks · Quantitative Biology 2020-12-21 Varshit Dusad , Denise Thiel , Mauricio Barahona , Hector C. Keun , Diego A. Oyarzún

Graph transformation formalisms have proven to be suitable tools for the modelling of chemical reactions. They are well established in theoretical studies and increasingly also in practical applications in chemistry. The latter is made…

Discrete Mathematics · Computer Science 2022-08-29 Jakob L. Andersen , Rolf Fagerberg , Juri Kolčák , Christophe V. F. P. Laurent , Daniel Merkle , Nikolai Nøjgaard

Retrosynthesis is one of the fundamental problems in organic chemistry. The task is to identify reactants that can be used to synthesize a specified product molecule. Recently, computer-aided retrosynthesis is finding renewed interest from…

Machine Learning · Computer Science 2020-01-07 Hanjun Dai , Chengtao Li , Connor W. Coley , Bo Dai , Le Song

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

An Elementary Flux Mode (EFM) is a pathway with minimum set of reactions that are functional in steady-state constrained space. Due to the high computational complexity of calculating EFMs, different approaches have been proposed to find…

Molecular Networks · Quantitative Biology 2018-02-06 Mona Arabzadeh , Morteza Saheb Zamani , Mehdi Sedighi , Sayed-Amir Marashi

We describe modeling approaches to a "network" of connected enzyme-catalyzed reactions, with added (bio)chemical processes that introduce biochemical filtering steps into the functioning of such a biocatalytic cascade. Theoretical…

Molecular Networks · Quantitative Biology 2016-12-13 Vladimir Privman

The construction of a reaction network containing all relevant intermediates and elementary reactions is necessary for the accurate description of chemical processes. In the case of a complex chemical reaction (involving, for instance, many…

Chemical Physics · Physics 2017-12-19 Gregor N. Simm , Markus Reiher

Biological networks provide insight into the complex organization of biological processes in a cell at the system level. They are an effective tool for understanding the comprehensive map of functional interactions, finding the functional…

Molecular Networks · Quantitative Biology 2017-09-14 Somaye Hashemifar

We present the MIM calculus, a modeling formalism with a strong biological basis, which provides biologically-meaningful operators for representing the interaction capabilities of molecular species. The operators of the calculus are…

Computational Engineering, Finance, and Science · Computer Science 2009-11-26 Roberto Barbuti , Andrea Maggiolo-Schettini , Paolo Milazzo , Giovanni Pardini , Aureliano Rama

Deciphering the control principles of metabolism and its interaction with other cellular functions is central to biomedicine and biotechnology. Yet, understanding the efficient control of metabolic fluxes remains elusive for large-scale…

Molecular Networks · Quantitative Biology 2015-09-04 Georg Basler , Zoran Nikoloski , Abdelhalim Larhlimi , Albert-László Barabási , Yang-Yu Liu

Graph transformation systems have the potential to be realistic models of chemistry, provided a comprehensive collection of reaction rules can be extracted from the body of chemical knowledge. A first key step for rule learning is the…

Discrete Mathematics · Computer Science 2016-04-22 Christoph Flamm , Daniel Merkle , Peter F. Stadler , Uffe Thorsen

We cast the metabolism of interacting cells within a statistical mechanics framework considering both, the actual phenotypic capacities of each cell and its interaction with its neighbors. Reaction fluxes will be the components of…

Molecular Networks · Quantitative Biology 2020-04-08 Jorge Fernandez-de-Cossio-Diaz , Roberto Mulet

Metabolic networks perform some of the most fundamental functions in living cells, including energy transduction and building block biosynthesis. While these are the best characterized networks in living systems, understanding their…

Molecular Networks · Quantitative Biology 2010-04-05 W. J. Riehl , P. L. Krapivsky , S. Redner , D. Segre

Bond graphs can be used to build thermodynamically-compliant hierarchical models of biomolecular systems. As bond graphs have been widely used to model, analyse and synthesise engineering systems, this paper suggests that they can play the…

Molecular Networks · Quantitative Biology 2016-06-06 Peter Gawthrop , Edmund Crampin

We present a novel approach to tackle explainability of deep graph networks in the context of molecule property prediction tasks, named MEG (Molecular Explanation Generator). We generate informative counterfactual explanations for a…

Quantitative Methods · Quantitative Biology 2020-11-11 Danilo Numeroso , Davide Bacciu

One of the main tasks of post-genomic informatics is to systematically investigate all molecules and their interactions within a living cell so as to understand how these molecules and the interactions between them relate to the function of…

Molecular Networks · Quantitative Biology 2007-05-23 Jing Zhao , Hong Yu , Jianhua Luo , Z. W. Cao , Yi-Xue Li

Autocatalytic Sets are reaction networks theorised as networks at the basis of life. Their main feature is the ability of spontaneously emerging and self-reproducing. The Reflexively and Food-generated theory provides a formal definition of…

Molecular Networks · Quantitative Biology 2020-10-19 Alessandro Ravoni