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We study complex networks in which the nodes of the network are tagged with different colors depending on the functionality of the nodes (colored graphs), using information theory applied to the distribution of motifs in such networks. We…

Quantitative Methods · Quantitative Biology 2011-11-08 Christoph Adami , Jifeng Qian , Matthew Rupp , Arend Hintze

One of the most important concepts in biological network analysis is that of network motifs, which are patterns of interconnections that occur in a given network at a frequency higher than expected in a random network. In this work we are…

Discrete Mathematics · Computer Science 2020-05-29 Diego P Rubert , Eloi Araujo , Marco A Stefanes , Jens Stoye , Fábio V Martinez

Network science can offer fundamental insights into the structural and functional properties of complex systems. For example, it is widely known that neuronal circuits tend to organize into basic functional topological modules, called…

Adaptation and Self-Organizing Systems · Physics 2022-08-03 Matteo Zambra , Alberto Testolin , Amos Maritan

We investigate how locomotory behavior is generated in the brain focusing on the paradigmatic connectome of nematode Caenorhabditis elegans (C. elegans) and on neuronal activity patterns that control forward locomotion. We map the neuronal…

Adaptation and Self-Organizing Systems · Physics 2020-06-17 Thomas Maertens , Eckehard Schöll , Jorge Ruiz , Philipp Hövel

Motif discovery is a powerful and insightful method to quantify network structures and explore their function. As a case study, we present a comprehensive analysis of regulatory motifs in the connectome of the model organism Caenorhabditis…

Molecular Networks · Quantitative Biology 2024-09-02 Deepak Sharma , Matthias Renz , Philipp Hövel

In the last decade, network science has shed new light both on the structural (anatomical) and on the functional (correlations in the activity) connectivity among the different areas of the human brain. The analysis of brain networks has…

Physics and Society · Physics 2017-04-18 Federico Battiston , Vincenzo Nicosia , Mario Chavez , Vito Latora

Studying the topology of so-called real networks, that is networks obtained from sociological or biological data for instance, has become a major field of interest in the last decade. One way to deal with it is to consider that networks are…

Applications · Statistics 2010-07-27 Etienne Birmele

Despite recent interest in reconstructing neuronal networks, complete wiring diagrams on the level of individual synapses remain scarce and the insights into function they can provide remain unclear. Even for Caenorhabditis elegans, whose…

Neurons and Cognition · Quantitative Biology 2011-02-07 Lav R. Varshney , Beth L. Chen , Eric Paniagua , David H. Hall , Dmitri B. Chklovskii

Motif counting plays a crucial role in understanding the structural properties of networks. By computing motif frequencies, researchers can draw key insights into the structural properties of the underlying network. As networks become…

Social and Information Networks · Computer Science 2025-03-26 Haozhe Yin , Kai Wang , Wenjie Zhang , Yizhang He , Ying Zhang , Xuemin Lin

Network motifs can capture basic interaction patterns and inform the functional properties of networks. However, real-world complex systems often have multiple types of relationships, which cannot be represented by a monolayer network. The…

Physics and Society · Physics 2019-03-06 Lu Zhong , Qingpeng Zhang , Dong Yang , Guanrong Chen , Shi Yu

Biological and technological networks contain patterns, termed network motifs, which occur far more often than in randomized networks. Network motifs were suggested to be elementary building blocks that carry out key functions in the…

Molecular Networks · Quantitative Biology 2009-11-10 N. Kashtan , S. Itzkovitz , R. Milo , U. Alon

Interaction networks are of central importance in post-genomic molecular biology, with increasing amounts of data becoming available by high-throughput methods. Examples are gene regulatory networks or protein interaction maps. The main…

Statistical Mechanics · Physics 2009-11-10 Johannes Berg , Michael Lässig

Developing and maintaining life requires a lot of computation. This is done by gene regulatory networks. But we have little understanding of how this computation is organized. I show that there is a direct correspondence between the…

Molecular Networks · Quantitative Biology 2022-09-01 Thomas M. A. Fink

The nervous system of the nematode soil worm Caenorhabditis elegans exhibits remarkable complexity despite the worm's small size. A general challenge is to better understand the relationship between neural organization and neural activity…

Neurons and Cognition · Quantitative Biology 2020-10-30 Alejandro Morales , Tom Froese

The brain is one of the most studied and highly complex systems in the biological world. It is the information center behind all vertebrate and most invertebrate life, and thus has become a major focus in current research. While many of…

Neurons and Cognition · Quantitative Biology 2015-03-19 Daniel J. Kelleher , Tyler M. Reese , Dylan T. Yott , Antoni Brzoska

Understanding the dynamical behavior of complex systems from their underlying network architectures is a long-standing question in complexity theory. Therefore, many metrics have been devised to extract network features like motifs,…

Neurons and Cognition · Quantitative Biology 2024-09-05 Bryant Avila , Pedro Augusto , David Phillips , Tommaso Gili , Manuel Zimmer , Hernán A. Makse

Several natural and theoretical networks can be broken down into smaller portions, or subgraphs corresponding to neighborhoods. The more frequent of these neighborhoods can then be understood as motifs of the network, being therefore…

Physics and Society · Physics 2022-04-21 Guilherme S. Domingues , Eric K. Tokuda , Luciano da F. Costa

Network motifs are small building blocks of complex networks. Statistically significant motifs often perform network-specific functions. However, the precise nature of the connection between motifs and the global structure and function of…

Physics and Society · Physics 2015-03-03 Almerima Jamakovic , Priya Mahadevan , Amin Vahdat , Marian Boguna , Dmitri Krioukov

Networks are a fundamental tool for modeling complex systems in a variety of domains including social and communication networks as well as biology and neuroscience. Small subgraph patterns in networks, called network motifs, are crucial to…

Social and Information Networks · Computer Science 2018-01-08 Ashwin Paranjape , Austin R. Benson , Jure Leskovec

The mining of graphs in terms of their local substructure is a well-established methodology to analyze networks. It was hypothesized that motifs - subgraph patterns which appear significantly more often than expected at random - play a key…

Social and Information Networks · Computer Science 2015-01-16 Marco Winkler , Joerg Reichardt
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