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Many social, technological and biological interactions involve network relationships whose outcome intimately depends on the structure of the network and on the strengths of the connections. Yet, although much information is now available…

Statistical Mechanics · Physics 2009-11-10 Guido Caldarelli , Fabrizio Coccetti , Paolo De Los Rios

Are biological networks different from other large complex networks? Both large biological and non-biological networks exhibit power-law graphs (number of nodes with degree k, N(k) ~ k-b) yet the exponents, b, fall into different ranges.…

Condensed Matter · Physics 2007-05-23 Fan Chung , Linyuan Lu , T. Gregory Dewey , David J. Galas

Stimulated by the growing interest in the applications of complex networks framework on time series analysis, we devise a network model in which each of $N$ nodes is associated with a random walk of length $L$. Connectivity between any two…

Physics and Society · Physics 2018-10-03 Harinder Pal , Thomas H. Seligman , Juan V. Escobar

We derive the sampling properties of random networks based on weights whose pairwise products parameterize independent Bernoulli trials. This enables an understanding of many degree-based network models, in which the structure of realized…

Statistics Theory · Mathematics 2013-06-07 Sofia C. Olhede , Patrick J. Wolfe

Discriminating between competing explanatory models as to which is more likely responsible for the growth of a network is a problem of fundamental importance for network science. The rules governing this growth are attributed to mechanisms…

Social and Information Networks · Computer Science 2021-04-21 Naomi A. Arnold , Raul J. Mondragon , Richard G. Clegg

We showed in this paper that similarity network can be used as an powerful tools to study the relationship of tRNA genes. We constructed a network of 3719 tRNA gene sequences using simplest alignment and studied its topology, degree…

Molecular Networks · Quantitative Biology 2009-09-29 Fangping Wei , Sheng Li , Hongru Ma

We build networks of genetic similarity in which the nodes are organisms sampled from biological populations. The procedure is illustrated by constructing networks from genetic data of a marine clonal plant. An important feature in the…

Populations and Evolution · Quantitative Biology 2008-01-23 E. Hernandez-Garcia , A. F. Rozenfeld , V. M. Eguiluz , S. Arnaud-Haond , C. M. Duarte

In this paper we present the first mathematical analysis of the protein interaction network found in the yeast, S. cerevisiae. We show that, (a) the identified protein network display a characteristic scale-free topology that demonstrate…

Statistical Mechanics · Physics 2009-11-07 Hawoong Jeong , Sean P. Mason , Albert-Laszlo Barabasi , Zoltan N. Oltvai

In the postgenome era many efforts have been dedicated to systematically elucidate the complex web of interacting genes and proteins. These efforts include experimental and computational methods. Microarray technology offers an opportunity…

Molecular Networks · Quantitative Biology 2009-08-04 L. Diambra

With the technology development, the need of analyze and extraction of useful information is increasing. Bayesian networks contain knowledge from data and experts that could be used for decision making processes But they are not easily…

Artificial Intelligence · Computer Science 2014-12-16 Mostafa Sepahvand , Ghasem Alikhajeh , Meysam Ghaffari , Abdolreza Mirzaei

This paper deals with gene networks whose dynamics is assumed to be generated by a continuous-time, linear, time invariant, finite dimensional system (LTI) at steady state. In particular, we deal with the problem of network reconstruction…

Quantitative Methods · Quantitative Biology 2007-05-23 Lorenzo Farina , Ilaria Mogno

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

Generated networks are widely used in network-based research as a convenient simulation environment. Generating universal networks that more accurately reflect real-world patterns is a cornerstone task. This study proposes a vari-linear…

Physics and Society · Physics 2026-04-27 Jinhu Ren , Linyuan Lü

Gene-sharing networks provide a powerful framework to study the evolution of viruses and mobile genetic elements. These bipartite networks, which link genes to the genomes that contain them, exhibit characteristic degree distributions: a…

Populations and Evolution · Quantitative Biology 2026-04-16 Jaime Iranzo , Pedro Jódar , Eugene V. Koonin , Susanna Manrubia , José A. Cuesta

Motivation: Measurements of gene expression over time enable the reconstruction of transcriptional networks. However, Bayesian networks and many other current reconstruction methods rely on assumptions that conflict with the differential…

Molecular Networks · Quantitative Biology 2009-07-02 D. R. Bickel , Z. Montazeri , P. -C. Hsieh , M. Beatty , S. J. Lawit , N. J. Bate

Microarray data are often used to determine which genes are differentially expressed between groups, for example, between treatment and control groups. There are methods of determining which genes have a high probability of differential…

Quantitative Methods · Quantitative Biology 2007-05-23 David R. Bickel

We investigate a model of evolving random network, introduced by us previously {[}{\it Phys. Rev. Lett.} {\bf 83}, 5587 (1999){]} . The model is a generalization of the Bak-Sneppen model of biological evolution, with the modification that…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina , Miroslav Kotrla

Sequencing large number of candidate disease genes which cause diseases in order to identify the relationship between them is an expensive and time-consuming task. To handle these challenges, different computational approaches have been…

Molecular Networks · Quantitative Biology 2019-04-16 Ali Jalilvand , Behzad Akbari , Fatemeh Zare Mirakabad , Foad Ghaderi

We propose a novel method to cluster gene networks. Based on a dissimilarity built using correlation structures, we consider networks that connect all the genes based on the strength of their dissimilarity. The large number of genes require…

Statistics Theory · Mathematics 2016-07-07 A-C Brunet , J-M Azais , J-M Loubes , J Amar , R Burcelin

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