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Extraction of interaction networks from multi-variate time-series is one of the topics of broad interest in complex systems. Although this method has a wide range of applications, most of the previous analyses have focused on the pairwise…

Physics and Society · Physics 2017-11-01 Amir Hossein Shirazi , Abbas Ali Saberi , Ali Hosseiny , Ehsan Amirzadeh , Pourya Toranj Simin

We generalize a sampling algorithm for lattice animals (connected clusters on a regular lattice) to a Monte Carlo algorithm for `graph animals', i.e. connected subgraphs in arbitrary networks. As with the algorithm in [N. Kashtan et al.,…

Molecular Networks · Quantitative Biology 2009-11-13 Kim Baskerville , Peter Grassberger , Maya Paczuski

In many real, directed networks, the strongly connected component of nodes which are mutually reachable is very small. This does not fit with current theory, based on random graphs, according to which strong connectivity depends on mean…

Disordered Systems and Neural Networks · Physics 2023-04-12 Niall Rodgers , Peter Tino , Samuel Johnson

Various molecular interaction networks have been claimed to follow power-law decay for their global connectivity distribution. It has been proposed that there may be underlying generative models that explain this heavy-tailed behavior by…

Molecular Networks · Quantitative Biology 2010-04-20 Adrián López García de Lomana , Qasim K. Beg , G. de Fabritiis , Jordi Villà-Freixa

Cellular functions are based on the complex interplay of proteins, therefore the structure and dynamics of these protein-protein interaction (PPI) networks are the key to the functional understanding of cells. In the last years, large-scale…

Molecular Networks · Quantitative Biology 2013-03-27 Yuliang Jin , Dmitrij Turaev , Thomas Weinmaier , Thomas Rattei , Hernan A. Makse

In real life, networks are dynamic in nature; they grow over time and often exhibit power-law degree sequences. To model the evolving structure of the internet, Barab\'{a}si and Albert introduced a simple dynamic model with a power-law…

Probability · Mathematics 2024-11-22 Rounak Ray

Molecular interactions have widely been modelled as networks. The local wiring patterns around molecules in molecular networks are linked with their biological functions. However, networks model only pairwise interactions between molecules…

Molecular Networks · Quantitative Biology 2018-09-21 Thomas Gaudelet , Noel Malod-Dognin , Natasa Przulj

We present a sequence-based probabilistic formalism that directly addresses co-operative effects in networks of interacting positions in proteins, providing significantly improved contact prediction, as well as accurate quantitative…

Quantitative Methods · Quantitative Biology 2012-07-12 Alan Lapedes , Bertrand Giraud , Christopher Jarzynski

We apply random matrix theory to complex networks. We show that nearest neighbor spacing distribution of the eigenvalues of the adjacency matrices of various model networks, namely scale-free, small-world and random networks follow…

Adaptation and Self-Organizing Systems · Physics 2016-09-08 Jayendra N. Bandyopadhyay , Sarika Jalan

Many complex systems in nature and society can be described in terms of networks capturing the intricate web of connections among the units they are made of. A key question is how to interpret the global organization of such networks as the…

Physics and Society · Physics 2007-05-23 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek

The native conformation of structured proteins is stabilized by a complex network of interactions. We analyzed the elementary patterns that constitute such network and ranked them according to their importance in shaping protein sequence…

Biomolecules · Quantitative Biology 2022-04-11 M. Tajana , A. Trovato , G. Tiana

Functional protein-protein interactions are crucial in most cellular processes. They enable multi-protein complexes to assemble and to remain stable, and they allow signal transduction in various pathways. Functional interactions between…

Biomolecules · Quantitative Biology 2018-11-14 Anne-Florence Bitbol

The stochastic addition of either vertices or connections in a network leads to the observation of the percolation transition, a structural change with the appearance of a connected component encompassing a finite fraction of the system.…

Physics and Society · Physics 2016-06-23 Filippo Radicchi , Claudio Castellano

The evolution, regulation and sustenance of biological complexity is determined by protein-protein interaction network that is filled with dynamic events. Recent experimental evidences point out that clustering of proteins has a vital role…

Tissues and Organs · Quantitative Biology 2007-05-23 RV Krishnan

Protein-protein interactions (PPIs) play key roles in a broad range of biological processes. Numerous strategies have been proposed for predicting PPIs, and among them, graph-based methods have demonstrated promising outcomes owing to the…

Machine Learning · Computer Science 2024-04-19 Mingda Xu , Peisheng Qian , Ziyuan Zhao , Zeng Zeng , Jianguo Chen , Weide Liu , Xulei Yang

The Worldwide spread of the Omicron lineage variants has now been confirmed. It is crucial to understand the process of cellular life and to discover new drugs need to identify the important proteins in a protein interaction network (PPIN).…

Molecular Networks · Quantitative Biology 2024-08-06 Mamata Das , Selvakumar K. , P. J. A. Alphonse

Major advances in large-scale yeast two hybrid (Y2H) screening have provided a global view of binary protein-protein interactions across species as dissimilar as human, yeast, and bacteria. Remarkably, these analyses have revealed that all…

Quantitative Methods · Quantitative Biology 2009-11-13 Yi Y. Shi , Gerald A. Miller , Hong Qian , Karol Bomsztyk

Most networks of interest do not live in isolation. Instead they form components of larger systems in which multiple networks with distinct topologies coexist and where elements distributed amongst different networks may interact directly.…

Disordered Systems and Neural Networks · Physics 2009-07-07 E. A. Leicht , Raissa M. D'Souza

We analyze large systems of interacting proteins, using techniques from the non-equilibrium statistical mechanics of disordered many-particle systems. Apart from protein production and removal, the most relevant microscopic processes in the…

Molecular Networks · Quantitative Biology 2015-05-14 A. C. C. Coolen , S. Rabello

The brain's structural and functional systems, protein-protein interaction, and gene networks are examples of biological systems that share some features of complex networks, such as highly connected nodes, modularity, and small-world…