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The mechanisms by which modularity emerges in complex networks are not well understood but recent reports have suggested that modularity may arise from evolutionary selection. We show that finding the modularity of a network is analogous to…

Disordered Systems and Neural Networks · Physics 2009-11-10 Roger Guimera , Marta Sales-Pardo , Luis A. N. Amaral

We propose to model the dynamics of metabolic networks from a systems biology point of view by four dynamical structure elements: potential function, transverse matrix, degradation matrix, and stochastic force. These four elements are…

Molecular Networks · Quantitative Biology 2007-05-23 P. Ao

The large-scale shape and function of metabolic networks are intriguing topics of systems biology. Such networks are on one hand commonly regarded as modular (i.e. built by a number of relatively independent subsystems), but on the other…

Molecular Networks · Quantitative Biology 2011-11-10 Mikael Huss , Petter Holme

Metagenomics has lowered the barrier to microbial discovery--enabling the identification of novel microbes without isolation--but cultures remain imperative for the deep study of microbes. Cultivation and isolation of non-model microbes…

Molecular Networks · Quantitative Biology 2026-02-26 Olivia Bulka , Chabname Ghassemi Nedjad , Loïc Paulevé , Sylvain Prigent , Clémence Frioux

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

This paper presents the foundation for a decomposition theory for Boolean networks, a type of discrete dynamical system that has found a wide range of applications in the life sciences, engineering, and physics. Given a Boolean network…

Dynamical Systems · Mathematics 2022-06-10 Claus Kadelka , Reinhard Laubenbacher , David Murrugarra , Alan Veliz-Cuba , Matthew Wheeler

Many of the chemical reactions that take place within a living cell are irreversible. Due to evolutionary pressures, the number of allowable reactions within these systems are highly constrained and thus the resulting metabolic networks…

Molecular Networks · Quantitative Biology 2013-03-04 Jonathan J Crofts , Ernesto Estrada

The metabolism of cells is the most basic and important part of human function. Neural networks in deep learning stem from neuronal activity. It is self-evident that the significance of metabolize neuronal network(MetaNet) in model…

Neural and Evolutionary Computing · Computer Science 2018-09-05 Dan Dai , Zhiwen Yu , Yang Hu , Wenming Cao , Mingnan Luo

Metabolism displays striking and robust regularities in the forms of modularity and hierarchy, whose composition may be compactly described. This renders metabolic architecture comprehensible as a system, and suggests the order in which…

Molecular Networks · Quantitative Biology 2015-06-05 Rogier Braakman , Eric Smith

We investigate the selective forces that promote the emergence of modularity in nature. We demonstrate the spontaneous emergence of modularity in a population of individuals that evolve in a changing environment. We show that the level of…

Molecular Networks · Quantitative Biology 2009-11-13 Jiankui He , Jun Sun , Michael W. Deem

We examine the modular structure of the metabolic network when combined with the regulatory network representing direct regulation of enzymes by small metabolites in E.coli. In order to identify the modular structure we introduce clustering…

Molecular Networks · Quantitative Biology 2014-01-14 Jan Geryk , Frantisek Slanina

High-throughput techniques are leading to an explosive growth in the size of biological databases and creating the opportunity to revolutionize our understanding of life and disease. Interpretation of these data remains, however, a major…

Molecular Networks · Quantitative Biology 2009-11-11 Roger Guimera , Luis A. Nunes Amaral

The exploration of the structural topology and the organizing principles of genome-based large-scale metabolic networks is essential for studying possible relations between structure and functionality of metabolic networks. Topological…

Molecular Networks · Quantitative Biology 2007-05-23 Jing Zhao , Hong Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

We investigate the stability properties of two different classes of metabolic cycles using a combination of analytical and computational methods. Using principles from structural kinetic modeling (SKM), we show that the stability of…

Molecular Networks · Quantitative Biology 2010-07-29 Ed Reznik , Daniel Segrè

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

Physics and Society · Physics 2015-12-03 Snehal M. Shekatkar , G. Ambika

The large-scale properties of chemical reaction systems, such as the metabolism, can be studied with graph-based methods. To do this, one needs to reduce the information -- lists of chemical reactions -- available in databases. Even for the…

Molecular Networks · Quantitative Biology 2009-09-25 Petter Holme

Hierarchical organization -- the recursive composition of sub-modules -- is ubiquitous in biological networks, including neural, metabolic, ecological, and genetic regulatory networks, and in human-made systems, such as large organizations…

Neural and Evolutionary Computing · Computer Science 2016-09-28 Henok Mengistu , Joost Huizinga , Jean-Baptiste Mouret , Jeff Clune

In a cell or microorganism the processes that generate mass, energy, information transfer, and cell fate specification are seamlessly integrated through a complex network of various cellular constituents and reactions. However, despite the…

Statistical Mechanics · Physics 2009-10-31 H. Jeong , B. Tombor , R. Albert , Z. N. Oltvai , A. -L. Barabasi

Structural modularity is a pervasive feature of biological neural networks, which have been linked to several functional and computational advantages. Yet, the use of modular architectures in artificial neural networks has been relatively…

Neural and Evolutionary Computing · Computer Science 2024-06-11 Mani Hamidi , Sina Khajehabdollahi , Emmanouil Giannakakis , Tim Schäfer , Anna Levina , Charley M. Wu

Despite major environmental and genetic differences, microbial metabolic networks are known to generate consistent physiological outcomes across vastly different organisms. This remarkable robustness suggests that, at least in bacteria,…

Molecular Networks · Quantitative Biology 2022-05-24 Anna Paola Muntoni , Alfredo Braunstein , Andrea Pagnani , Daniele De Martino , Andrea De Martino