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Complex system arises as a result of the nonlinear interactions between components. In particular, the evolutionary dynamics of a multivariate system encodes the ways in which different variables interact with each other individually or in…

Information Theory · Computer Science 2020-04-22 Peishi Jiang , Praveen Kumar

Network data often represent multiple types of relations, which can also denote exchanged quantities, and are typically encompassed in a weighted multiplex. Such data frequently exhibit clustering structures, however, traditional clustering…

Methodology · Statistics 2024-12-17 Iuliia Promskaia , Adrian O'Hagan , Michael Fop

Biological networks are a very convenient modelling and visualisation tool to discover knowledge from modern high-throughput genomics and postgenomics data sets. Indeed, biological entities are not isolated, but are components of complex…

Quantitative Methods · Quantitative Biology 2018-05-07 Alex White , Matthieu Vignes

We consider the general problem of describing the dynamics of subnetworks of larger biochemical reaction networks, e.g. protein interaction networks involving complex formation and dissociation reactions. We propose the use of model…

Quantitative Methods · Quantitative Biology 2020-08-26 Barbara Bravi , Katy J. Rubin , Peter Sollich

The living cell expends energetic and material resources to reliably process information from its environment. To do so, it utilises unreliable molecular circuitry that is subject to thermal and other fluctuations. Here, we argue that…

Soft Condensed Matter · Physics 2022-04-12 Kabir Husain , Sriram Ramaswamy , Madan Rao

Large language models (LLMs) have demonstrated broad utility across molecular domains, spanning drug discovery and materials design. Analyzing LLMs' latent representations is crucial for elucidating their underlying mechanisms, improving…

Machine Learning · Computer Science 2026-02-03 Zhuoran Li , Xu Sun , Wanyu Lin , Jiannong Cao

Chemical reaction networks (CRNs) provide a convenient language for modelling a broad variety of biological systems. These models are commonly studied with respect to the time series they generate in deterministic or stochastic simulations.…

Molecular Networks · Quantitative Biology 2019-07-11 Ozan Kahramanoğulları

We present an approach for constructing dynamic models for the simulation of gene regulatory networks from simple computational elements. Each element is called a ``gene gate'' and defines an input/output-relationship corresponding to the…

Molecular Networks · Quantitative Biology 2007-10-09 R. Blossey , L. Cardelli , A. Phillips

The network of biochemical reactions inside living organisms is characterized by an overwhelming complexity which stems from the sheer number of reactions and from the complicated topology of biochemical cycles. However the high speed of…

Biological Physics · Physics 2009-10-30 Edoardo Milotti , Alessio Del Fabbro , Roberto Chignola

Allosteric interactions occur when binding at one part of a complex affects the interactions at another part. Allostery offers a high degree of control in multi-species processes, and these interactions play a crucial role in many…

Soft Condensed Matter · Physics 2025-07-14 Jakob Metson

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

The standard engineering approach to modelling of complex systems is highly compositional. In order to be able to understand (or to control) the behavior of a complex dynamical systems, it is often desirable, if not necessary, to view this…

Systems and Control · Computer Science 2013-07-01 Antoine Girard

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

We present a novel machine learning approach to understanding conformation dynamics of biomolecules. The approach combines kernel-based techniques that are popular in the machine learning community with transfer operator theory for…

Computational Physics · Physics 2019-01-24 Stefan Klus , Andreas Bittracher , Ingmar Schuster , Christof Schütte

Reasoning about hypotheses and updating knowledge through empirical observations are central to scientific discovery. In this work, we applied logic-based machine learning methods to drive biological discovery by guiding experimentation.…

Molecular Networks · Quantitative Biology 2025-06-09 Lun Ai , Stephen H. Muggleton , Shi-Shun Liang , Geoff S. Baldwin

We present a novel multiscale simulation approach for modeling stochasticity in chemical reaction networks. The approach seamlessly integrates exact-stochastic and "leaping" methodologies into a single "partitioned leaping" algorithmic…

Chemical Physics · Physics 2009-11-11 Leonard A. Harris , Paulette Clancy

Thermodynamic aspects of chemical reactions have a long history in the Physical Chemistry literature. In particular, biochemical cycles - the building-blocks of biochemical systems - require a source of energy to function. However, although…

Quantitative Methods · Quantitative Biology 2018-08-14 Peter J. Gawthrop , Edmund J. Crampin

Bioprocess mechanistic modeling is essential for advancing intelligent digital twin representation of biomanufacturing, yet challenges persist due to complex intracellular regulation, stochastic system behavior, and limited experimental…

Machine Learning · Statistics 2025-05-07 Keilung Choy , Wei Xie , Keqi Wang

Systems biology uses large networks of biochemical reactions to model the functioning of biological cells from the molecular to the cellular scale. The dynamics of dissipative reaction networks with many well separated time scales can be…

Molecular Networks · Quantitative Biology 2013-05-28 Vincent Noel , Dima Grigoriev , Sergei Vakulenko , Ovidiu Radulescu

Coaxing out desired behavior from pretrained models, while avoiding undesirable ones, has redefined NLP and is reshaping how we interact with computers. What was once a scientific engineering discipline-in which building blocks are stacked…

Machine Learning · Computer Science 2023-08-02 Ari Holtzman , Peter West , Luke Zettlemoyer