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Reaction networks can display a wide array of dynamics. However, it is possible for different reaction networks to display the same dynamics. This phenomenon is called dynamical equivalence and makes network identification a hard problem to…

Dynamical Systems · Mathematics 2022-05-03 Abhishek Deshpande

We review a recent trend in computational systems biology which aims at using pattern recognition algorithms to infer the structure of large-scale biological networks from heterogeneous genomic data. We present several strategies that have…

Quantitative Methods · Quantitative Biology 2008-09-22 Jean-Philippe Vert

Network science has become an essential interdisciplinary tool for understanding complex biological systems. However, because these systems undergo continuous, often stimulus-driven changes in both structure and function, traditional static…

Molecular Networks · Quantitative Biology 2025-05-19 Abir Khazaal , Fatemeh Vafaee

Perturbations are ubiquitous in metabolism. A central tool to understand and control their influence on metabolic networks is sensitivity analysis, which investigates how the network responds to external perturbations. We follow here a…

Molecular Networks · Quantitative Biology 2021-11-29 Nicola Vassena

For decades, complex networks, such as social networks, biological networks, chemical networks, technological networks, have been used to study the evolution and dynamics of different kinds of complex systems. These complex systems can be…

Social and Information Networks · Computer Science 2020-12-16 Akrati Saxena

We formally characterize a set of causality-based properties of metabolic networks. This set of properties aims at making precise several notions on the production of metabolites, which are familiar in the biologists' terminology. From a…

Computational Engineering, Finance, and Science · Computer Science 2010-02-23 Chiara Bodei , Andrea Bracciali , Davide Chiarugi , Roberta Gori

Reaction networks are widely used models to describe biochemical processes. Stochastic fluctuations in the counts of biological macromolecules have amplified consequences due to their small population sizes. This makes it necessary to favor…

Probability · Mathematics 2022-02-28 Daniele Cappelletti , Badal Joshi

The regulation of metabolic activity by tuning enzyme expression levels is crucial to sustain cellular growth in changing environments. Metabolic networks are often studied at steady state using constraint-based models and optimization…

Molecular Networks · Quantitative Biology 2014-10-24 Steffen Waldherr , Diego A. Oyarzún , Alexander Bockmayr

The dynamics of stochastic reaction networks within cells are inevitably modulated by factors considered extrinsic to the network such as for instance the fluctuations in ribsome copy numbers for a gene regulatory network. While several…

Quantitative Methods · Quantitative Biology 2015-06-19 Christoph Zechner , Heinz Koeppl

While renormalization groups are fundamental in physics, renormalization of complex networks remains vague in its conceptual definition and methodology. Here, we propose a novel strategy to renormalize complex networks. Rather than…

Statistical Mechanics · Physics 2024-03-13 Sungwon Jung , Sang Hoon Lee , Jaeyoon Cho

There is a widening recognition that cancer cells are products of complex developmental processes. Carcinogenesis and metastasis formation are increasingly described as systems-level, network phenomena. Here we propose that malignant…

Molecular Networks · Quantitative Biology 2013-09-18 David M. Gyurko , Daniel V. Veres , Dezso Modos , Katalin Lenti , Tamas Korcsmaros , Peter Csermely

The temporal dynamics of a complex system such as a social network or a communication network can be studied by understanding the patterns of link appearance and disappearance over time. A critical task along this understanding is to…

Social and Information Networks · Computer Science 2018-04-17 Mahmudur Rahman , Tanay Kumar Saha , Mohammad Al Hasan , Kevin S. Xu , Chandan K. Reddy

For various engineering and industrial applications it is desirable to realize mechanical systems with broadly adjustable elasticity to respond flexibly to the external environment. Here we discover a topology-correlated transition between…

Thermodynamic constraints on reactions directions are inherent in the structure of a given biochemical network. However, concrete procedures for determining feasible reaction directions for large-scale metabolic networks are not well…

Molecular Networks · Quantitative Biology 2007-05-23 Feng Yang , Feng Qi , Daniel A. Beard

Acyclic networks are a class of complex networks in which links are directed and don't have closed loops. Here we present an algorithm for transforming an ordinary undirected complex network into an acyclic one. Further analysis of an…

Physics and Society · Physics 2012-07-17 Roman Shevchuk , Andrew Snarskii

With an increasing amount of observations on the dynamics of many complex systems, it is required to reveal the underlying mechanisms behind these complex dynamics, which is fundamentally important in many scientific fields such as climate,…

Neurons and Cognition · Quantitative Biology 2025-03-19 Zhendong Yu , Haiping Huang

We show that a neural network originally designed for language processing can learn the dynamical rules of a stochastic system by observation of a single dynamical trajectory of the system, and can accurately predict its emergent behavior…

Statistical Mechanics · Physics 2022-02-18 Corneel Casert , Isaac Tamblyn , Stephen Whitelam

Energy conversion in nanosized devices is studied in the framework of state-space models. We use a network representation of the underlying master equation to describe the dynamics by a graph. Particular segments of this network represent…

Statistical Mechanics · Physics 2021-12-28 M. Einax

Biological networks have evolved to be highly functional within uncertain environments while remaining extremely adaptable. One of the main contributors to the robustness and evolvability of biological networks is believed to be their…

Molecular Networks · Quantitative Biology 2008-02-14 Arend Hintze , Christoph Adami

We consider a natural class of reaction networks which consist of reactions where either two species can inactivate each other (i.e., sequestration), or some species can be transformed into another (i.e., transmutation), in a way that gives…

Dynamical Systems · Mathematics 2022-04-12 Gheorghe Craciun , Badal Joshi , Casian Pantea , Ike Tan
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