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For a long time biologists have used visual representations of biochemical networks to gain a quick overview of important structural properties. Recently SBGN, the Systems Biology Graphical Notation, has been developed to standardise the…

Programming Languages · Computer Science 2009-10-09 Laurence Loewe , Stuart Moodie , Jane Hillston

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

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

Motivation: An essential step in developing computational tools for the inference, optimization, and simulation of biochemical reaction networks is gauging tool performance against earlier efforts using an appropriate set of benchmarks.…

Molecular Networks · Quantitative Biology 2022-09-14 Michael A. Kochen , H. Steven Wiley , Song Feng , Herbert M. Sauro

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

Social and Information Networks · Computer Science 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan

Key processes in biological and chemical systems are described by networks of chemical reactions. From molecular biology to biotechnology applications, computational models of reaction networks are used extensively to elucidate their…

Quantitative Methods · Quantitative Biology 2019-02-18 Pavel Loskot , Komlan Atitey , Lyudmila Mihaylova

One approach to studying the system-wide organization of biochemistry is to use statistical graph theory. Even in such a heavily simplified method, which disregards most of the dynamic aspects of biochemistry, one is faced with fundamental…

Molecular Networks · Quantitative Biology 2010-08-17 Petter Holme , Mikael Huss

Representing molecular structures effectively in chemistry remains a challenging task. Language models and graph-based models are extensively utilized within this domain, consistently achieving state-of-the-art results across an array of…

Machine Learning · Computer Science 2025-05-27 Nikolai Rekut , Alexey Orlov , Klea Ziu , Elizaveta Starykh , Martin Takac , Aleksandr Beznosikov

The representation of a biochemical network as a graph is the coarsest level of description in cellular biochemistry. By studying the network structure one can draw conclusions on the large scale organisation of the biochemical processes.…

Molecular Networks · Quantitative Biology 2007-05-23 Petter Holme , Mikael Huss

Graphs are central to the chemical sciences, providing a natural language to describe molecules, proteins, reactions, and industrial processes. They capture interactions and structures that underpin materials, biology, and medicine. This…

The analysis of biophysical neural networks (BNNs) has been a longstanding focus in computational neuroscience. A central yet unresolved challenge in BNN analysis lies in deciphering the correlations between neuronal and synaptic dynamics,…

Machine Learning · Computer Science 2024-10-16 Youngmok Ha , Yongjoo Kim , Hyun Jae Jang , Seungyeon Lee , Eunji Pak

Single-cell RNA sequencing (scRNA-seq) technology provides high-throughput gene expression data to study the cellular heterogeneity and dynamics of complex organisms. Graph neural networks (GNNs) have been widely used for automatic cell…

Machine Learning · Computer Science 2023-12-19 Rui Yang , Wenrui Dai , Chenglin Li , Junni Zou , Dapeng Wu , Hongkai Xiong

Ordinary differential equation models of biochemical reactions are often formulated as stoichiometric systems in which the dynamics arise from a collection of interacting processes. A central challenge is that the functional form of each…

Dynamical Systems · Mathematics 2026-05-26 Luis L. Fonseca , Reinhard C. Laubenbacher , Lucas Böttcher

Regulatory networks depict promoting or inhibiting interactions between molecules in a biochemical system. We introduce a category-theoretic formalism for regulatory networks, using signed graphs to model the networks and signed functors to…

Molecular Networks · Quantitative Biology 2024-08-07 Rebekah Aduddell , James Fairbanks , Amit Kumar , Pablo S. Ocal , Evan Patterson , Brandon T. Shapiro

The Business Process Modeling Notation (BPMN) is a widely used standard notation for defining intra- and inter-organizational workflows. However, the informal description of the BPMN execution semantics leads to different interpretations of…

Software Engineering · Computer Science 2024-10-09 Tim Kräuter , Adrian Rutle , Harald König , Yngve Lamo

Computational techniques are required for narrowing down the vast space of possibilities to plausible prebiotic scenarios, since precise information on the molecular composition, the dominant reaction chemistry, and the conditions for that…

Molecular Networks · Quantitative Biology 2018-02-07 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

Motivation: Biomedical knowledge graphs (KGs) are crucial for drug discovery and disease understanding, yet their completion and reasoning are challenging. Knowledge Embedding (KE) methods capture global semantics but struggle with dynamic…

Artificial Intelligence · Computer Science 2025-07-23 Yitong Lin , Jiaying He , Jiahe Chen , Xinnan Zhu , Jianwei Zheng , Tao Bo

Biological neural networks (BNNs) have been established as a powerful and adaptive substrate that offer the potential for incredibly energy and data efficient information processing with distinct learning mechanisms. Yet a core challenge to…

Explainable Graph Neural Networks (GNNs) have been developed and applied to drug-protein binding prediction to identify the key chemical structures in a drug that have active interactions with the target proteins. However, the key…

Biomolecules · Quantitative Biology 2023-09-25 Yang Wang , Zanyu Shi , Timothy Richardson , Kun Huang , Pathum Weerawarna , Yijie Wang

Rule-based modeling is a powerful way to model kinetic interactions in biochemical systems. Rules enable a precise encoding of biochemical interactions at the resolution of sites within molecules, but obtaining an integrated global view…

Quantitative Methods · Quantitative Biology 2015-09-04 John A. P. Sekar , Jose-Juan Tapia , James R. Faeder
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