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The analysis of the interaction matrix between two distinct sets is essential across diverse fields, from pharmacovigilance to transcriptomics. Not all interactions are equally informative: a marker gene associated with a few specific…

Social networks exhibit strikingly systematic patterns across a wide range of human contexts. While genetic variation accounts for a significant portion of the variation in many complex social behaviors, the heritability of egocentric…

Genomics · Quantitative Biology 2009-02-11 James H. Fowler , Christopher T. Dawes , Nicholas A. Christakis

We test the claim by Yu et al. -- presented in Science 322, 104 (2008) -- that the degree distribution of the yeast (Saccharomyces cerevisiae) protein-interaction network is best approximated by a power law. Yu et al. consider three…

Molecular Networks · Quantitative Biology 2009-01-06 Aaron Clauset

Species interaction networks are a powerful tool for describing ecological communities; they typically contain nodes representing species, and edges representing interactions between those species. For the purposes of drawing abstract…

Machine Learning · Computer Science 2025-02-25 Sanaz Hasanzadeh Fard , Emily Dolson

Investigations of topological uniqueness of gene interaction networks in cancer cells are essential for understanding this disease. Based on the random matrix theory, we study the distribution of the nearest neighbor level spacings $P(s)$…

Molecular Networks · Quantitative Biology 2018-07-27 Ayumi Kikkawa

Identification of genes that initiate cell anomalies and cause cancer in humans is among the important fields in the oncology researches. The mutation and development of anomalies in these genes are then transferred to other genes in the…

Molecular Networks · Quantitative Biology 2023-03-03 Mostafa Akhavan Safar , Babak Teimourpour , Abbas Nozari-Dalini

Genetic Regulatory Networks (GRNs) plays a vital role in the understanding of complex biological processes. Modeling GRNs is significantly important in order to reveal fundamental cellular processes, examine gene functions and understanding…

Computational Engineering, Finance, and Science · Computer Science 2012-05-10 Khalid Raza , Rafat Parveen

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

Physics and Society · Physics 2022-04-07 Alexandre Bovet , Hernán A. Makse

We introduce a stochastic model of growing networks where both, the number of new nodes which joins the network and the number of connections, vary stochastically. We provide an exact mapping between this model and zero range process, and…

Statistical Mechanics · Physics 2010-09-03 P. K. Mohanty , Sarika Jalan

A substantial focus of research in molecular biology are gene regulatory networks: the set of transcription factors and target genes which control the involvement of different biological processes in living cells. Previous statistical…

Statistics Theory · Mathematics 2012-08-27 Shane T. Jensen , Guang Chen , Christian J. Stoeckert,

We construct a gene network based on expression data from DNA microarray experiments, by establishing a link between two genes whenever the Pearson's correlation coefficient between their expression profiles is higher than a certain cutoff.…

Statistical Mechanics · Physics 2007-05-23 P. Provero

Identifying driver genes is crucial for understanding oncogenesis and developing targeted cancer therapies. Driver discovery methods using protein or pathway networks rely on traditional network science measures, focusing on nodes, edges,…

Molecular Networks · Quantitative Biology 2024-10-01 Rodrigo Henrique Ramos , Yago Augusto Bardelotte , Cynthia de Oliveira Lage Ferreira , Adenilso Simao

A given neural network in the brain is involved in many different tasks. This implies that, when considering a specific task, the network's connectivity contains a component which is related to the task and another component which can be…

Neurons and Cognition · Quantitative Biology 2021-03-17 Friedrich Schuessler , Alexis Dubreuil , Francesca Mastrogiuseppe , Srdjan Ostojic , Omri Barak

We investigate the evolution of Boolean networks subject to a selective pressure which favors robustness against noise, as a model of evolved genetic regulatory systems. By mapping the evolutionary process into a statistical ensemble and…

Disordered Systems and Neural Networks · Physics 2012-04-11 Tiago P. Peixoto

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

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

Genetic interactions have been widely used to define functional relationships between proteins and pathways. In this study, we demonstrated that yeast synthetic lethal genetic interactions can be explained by the genetic interactions…

Molecular Networks · Quantitative Biology 2011-04-25 Bo Li , Weiguo Cao , Jizhong Zhou , Feng Luo

Most of the real world networks such as the internet network, collaboration networks, brain networks, citation networks, powerline and airline networks are very large and to study their structure, and dynamics one often requires working…

Physics and Society · Physics 2020-05-05 Richa Tripathi , Amit Reza

Reliability is one of the important measures of how well the system meets its design objective, and mathematically is the probability that a system will perform satisfactorily for at least a given period of time. When the system is…

Physics and Society · Physics 2014-12-16 Ho Tat Lam , Kwok Yip Szeto
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