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Many real world networks contain a statistically surprising number of certain subgraphs, called network motifs. In the prevalent approach to motif analysis, network motifs are detected by comparing subgraph frequencies in the original…

Social and Information Networks · Computer Science 2014-11-25 Anatol E. Wegner

We consider a simplified model for gene regulation, where gene expression is regulated by transcription factors (TFs), which are single proteins or protein complexes. Proteins are in turn synthesised from expressed genes, creating a…

Molecular Networks · Quantitative Biology 2020-07-15 Giuseppe Torrisi , Reimer Kühn , Alessia Annibale

Systems of dynamical interactions between competing species can be used to model many complex systems, and can be mathematically described by {\em random} networks. Understanding how patterns of activity arise in such systems is important…

Adaptation and Self-Organizing Systems · Physics 2016-01-21 Nick McCullen , Thomas Wagenknecht

Random boolean networks are a model of genetic regulatory networks that has proven able to describe experimental data in biology. They not only reproduce important phenomena in cell dynamics, but they are also extremely interesting from a…

Dynamical Systems · Mathematics 2015-02-26 Marco Villani , Davide Campioli , Chiara Damiani , Andrea Roli , Alessandro Filisetti , Roberto Serra

Deep neural networks excel in mapping genomic DNA sequences to associated readouts (e.g., protein-DNA binding). Beyond prediction, the goal of these networks is to reveal to scientists the underlying motifs (and their syntax) which drive…

Genomics · Quantitative Biology 2024-10-10 Alex M. Tseng , Gokcen Eraslan , Tommaso Biancalani , Gabriele Scalia

Cooperative behavior in real social dilemmas is often perceived as a phenomenon emerging from norms and punishment. To overcome this paradigm, we highlight the interplay between the influence of social networks on individuals, and the…

Physics and Society · Physics 2018-07-23 Dario Madeo , Chiara Mocenni

Genes are connected in complex networks of interactions where often the product of one gene is a transcription factor that alters the expression of another. Many of these networks are based on a few fundamental motifs leading to switches…

Molecular Networks · Quantitative Biology 2026-03-05 Zitao Yang , Rebecca J. Rousseau , Sara D. Mahdavi , Hernan G. Garcia , Rob Phillips

Systemic properties of living cells are the result of molecular dynamics governed by so-called genetic regulatory networks (GRN). These networks capture all possible features of cells and are responsible for the immense levels of adaptation…

Molecular Networks · Quantitative Biology 2015-06-04 Rudolf Hanel , Manfred Pöchacker , Manuel Schölling , Stefan Thurner

The problem of calculating the frequencies of network motifs on three and four nodes in large networks is considered. Telecommunications networks, cell molecular networks are investigated. The sizes of the investigated networks are hundreds…

Social and Information Networks · Computer Science 2020-01-08 M. N. Yudina , V. N. Zadorozhnyi , E. B. Yudin

We study a family of networks of autocatalytic reactions, which we call hyperchains, that are a generalization of hypercycles. Hyperchains, and the associated dynamical system called replicator equations, are a possible mechanism for…

Dynamical Systems · Mathematics 2021-04-23 Badal Joshi , Gheorghe Craciun

The global dynamics of gene regulatory networks are known to show robustness to perturbations in the form of intrinsic and extrinsic noise, as well as mutations of individual genes. One molecular mechanism underlying this robustness has…

Molecular Networks · Quantitative Biology 2015-06-15 Claus Kadelka , David Murrugarra , Reinhard Laubenbacher

When studying a complex system it is often useful to think of the system as a network of interacting units. One can then ask if some properties of the entire network are already explained by a small part of the network - a network motif. A…

Populations and Evolution · Quantitative Biology 2025-09-03 Melanie Habermann , Ashkaan K. Fahimipour , Justin D. Yeakel , Thilo Gross

A recurring motif in gene regulatory networks is transcription factors (TFs) that regulate each other, and then bind to overlapping sites on DNA, where they interact and synergistically control transcription of a target gene. Here, we…

Molecular Networks · Quantitative Biology 2013-03-07 Sahand Hormoz

From biosystem to complex system,the study of life is always an important area. Inspired by hyper-cycle theory about the evolution of non-life system, we study the metabolism, self-replication and mutation behavior in the Internet based on…

Networking and Internet Architecture · Computer Science 2016-11-07 Jinfa Wang , Hai Zhao , Xiao Liu

Genetic regulatory networks control ontogeny. For fifty years Boolean networks have served as models of such systems, ranging from ensembles of random Boolean networks as models for generic properties of gene regulation to working dynamical…

Molecular Networks · Quantitative Biology 2019-02-04 Stefan Bornholdt , Stuart Kauffman

Reconstructing transcriptional regulatory networks is an important task in functional genomics. Data obtained from experiments that perturb genes by knockouts or RNA interference contain useful information for addressing this reconstruction…

Machine Learning · Statistics 2015-06-18 Ali Shojaie , Alexandra Jauhiainen , Michael Kallitsis , George Michailidis

The solution of high-dimensional inference and prediction problems in computational biology is almost always a compromise between mathematical theory and practical constraints such as limited computational resources. As time progresses,…

Quantitative Methods · Quantitative Biology 2009-01-13 Anagha Joshi , Riet De Smet , Kathleen Marchal , Yves Van de Peer , Tom Michoel

The time taken for gene expression varies not least because proteins vary in length considerably. This paper uses an abstract, tuneable Boolean regulatory network model to explore gene expression time variation. In particular, it is shown…

Biomolecules · Quantitative Biology 2016-03-16 Larry Bull

Networks are abundant in biological systems. Small sized over-represented network motifs have been discovered, and it has been suggested that these constitute functional building blocks. We ask whether larger dynamical network motifs exist…

Neural and Evolutionary Computing · Computer Science 2018-09-25 C. H. Huck Yang , Rise Ooi , Tom Hiscock , Victor Eguiluz , Jesper Tegnér

The inference of gene regulatory networks from high throughput gene expression data is one of the major challenges in systems biology. This paper aims at analysing and comparing two different algorithmic approaches. The first approach uses…

Quantitative Methods · Quantitative Biology 2008-12-05 A. Braunstein , A. Pagnani , M. Weigt , R. Zecchina