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The structure of molecular networks derives from dynamical processes on evolutionary time scales. For protein interaction networks, global statistical features of their structure can now be inferred consistently from several…

Statistical Mechanics · Physics 2007-05-23 Johannes Berg , Michael Lässig , Andreas Wagner

Protein interaction networks aim to summarize the complex interplay of proteins in an organism. Early studies suggested that the position of a protein in the network determines its evolutionary rate but there has been considerable…

Molecular Networks · Quantitative Biology 2007-05-23 Ino Agrafioti , Jonathan Swire , James Abbott , Derek Huntley , Sarah Butcher , Michael P. H. Stumpf

The Saccharomyces cerevisiae protein-protein interaction map, as well as many natural and man-made networks, shares the scale-free topology. The preferential attachment model was suggested as a generic network evolution model that yields…

Statistical Mechanics · Physics 2007-05-23 Eli Eisenberg , Erez Y. Levanon

Proteins in organisms, rather than act alone, usually form protein complexes to perform cellular functions. We analyze the topological network structure of protein complexes and their component proteins in the budding yeast in terms of the…

Quantitative Methods · Quantitative Biology 2011-08-16 Sang Hoon Lee , Pan-Jun Kim , Hawoong Jeong

We model the evolution of eukaryotic protein-protein interaction (PPI) networks. In our model, PPI networks evolve by two known biological mechanisms: (1) Gene duplication, which is followed by rapid diversification of duplicate…

Molecular Networks · Quantitative Biology 2015-01-07 Jack Peterson , Steve Presse , Kristin S. Peterson , Ken A. Dill

In this paper, we study the large-scale protein interaction network of yeast uti lizing a stochastic method based upon percolation of random graphs. In order to find the global features of connectivities in the network, we introduce numeric…

Statistical Mechanics · Physics 2007-05-23 Chen-Shan Chin , Manoj Pratim Samanta

We study how the dynamic equilibrium of the reversible protein-protein binding network in yeast Saccharomyces cerevisiae responds to large changes in abundances of individual proteins. The magnitude of shifts between free and bound…

Molecular Networks · Quantitative Biology 2007-08-20 Sergei Maslov , I. Ispolatov

We show that the protein-protein interaction networks can be surprisingly well described by a very simple evolution model of duplication and divergence. The model exhibits a remarkably rich behavior depending on a single parameter, the…

Molecular Networks · Quantitative Biology 2009-11-10 I. Ispolatov , P. L. Krapivsky , A. Yuryev

The budding yeast {\it Saccharomyces cerevisiae} is the first eukaryote whose genome has been completely sequenced. It is also the first eukaryotic cell whose proteome (the set of all proteins) and interactome (the network of all mutual…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. R. Mashaghi , A. Ramezanpour , V. Karimipour

We introduce a graph generating model aimed at representing the evolution of protein interaction networks. The model is based on the hypotesis of evolution by duplications and divergence of the genes which produce proteins. The obtained…

Statistical Mechanics · Physics 2007-05-23 A. Vazquez , A. Flammini , A. Maritan , A. Vespignani

Understanding of how protein interaction networks (PIN) of living organisms have evolved or are organized can be the first stepping stone in unveiling how life works on a fundamental ground. Here we introduce a hybrid network model composed…

Molecular Networks · Quantitative Biology 2007-05-23 K. -I. Goh , B. Kahng , D. Kim

Genes have specific functional roles, however, since they are dependent on each other, they can play a structural role within a network structure of their interactions. In this study, we analyze the structure of the gene interaction network…

Biological Physics · Physics 2022-02-15 Nastaran Allahyari , Ali Hosseiny , Nima Abedpour , G. Reza Jafari

We study the evolution of the network properties of a populated network embedded in a genotype space characterised by either a low or a high number of potential links, with particular emphasis on the connectivity and clustering. Evolution…

Statistical Mechanics · Physics 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen

The evolution processes of complex systems carry key information in the systems' functional properties. Applying machine learning algorithms, we demonstrate that the historical formation process of various networked complex systems can be…

Physics and Society · Physics 2024-03-25 Junya Wang , Yi-Jiao Zhang , Cong Xu , Jiaze Li , Jiachen Sun , Jiarong Xie , Ling Feng , Tianshou Zhou , Yanqing Hu

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

We investigate a model protein interaction network whose links represent interactions between individual proteins. This network evolves by the functional duplication of proteins, supplemented by random link addition to account for…

Statistical Mechanics · Physics 2009-11-07 J. Kim , P. L. Krapivsky , B. Kahng , S. Redner

The determination of protein functions is one of the most challenging problems of the post-genomic era. The sequencing of entire genomes and the possibility to access gene's co-expression patterns has moved the attention from the study of…

Statistical Mechanics · Physics 2007-05-23 A. Vazquez , A. Flammini , A. Maritan , A. Vespignani

Despite its high and direct impact on nearly all biological processes, the underlying structure of gene-gene interaction networks is investigated so far according to pair connections. To address this, we explore the gene interaction…

Molecular Networks · Quantitative Biology 2022-05-04 Nastaran Allahyari , Amir Kargaran , Ali Hosseiny , G. R. Jafari

A major issue in biology is the understanding of the interactions between proteins. These interactions can be described by a network, where the proteins are modeled by nodes and the interactions by edges. The origin of these protein…

Biological Physics · Physics 2011-08-01 Christian M. Schneider , Lucilla de Arcangelis , Hans J. Herrmann

Protein-protein interactions are fundamental to many biological processes. Experimental screens have identified tens of thousands of interactions and structural biology has provided detailed functional insight for select 3D protein…

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