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Gene regulatory networks (GRNs) play a central role in cellular decision-making. Understanding their structure and how it impacts their dynamics constitutes thus a fundamental biological question. GRNs are frequently modeled as Boolean…

Molecular Networks · Quantitative Biology 2024-01-19 Claus Kadelka , Taras-Michael Butrie , Evan Hilton , Jack Kinseth , Addison Schmidt , Haris Serdarevic

We propose a method of constructing a network, in which its time structure is directly incorporated, based on a deterministic model from a time series. To construct such a network, we transform a linear model containing terms with different…

Other Statistics · Statistics 2015-06-05 Tomomichi Nakamura , Toshihiro Tanizawa

Gene regulatory networks (GRNs) represent the causal relationships between transcription factors (TFs) and target genes in single-cell RNA sequencing (scRNA-seq) data. Understanding these networks is crucial for uncovering disease…

Artificial Intelligence · Computer Science 2024-10-22 Tejumade Afonja , Ivaxi Sheth , Ruta Binkyte , Waqar Hanif , Thomas Ulas , Matthias Becker , Mario Fritz

The human connectome represents a network map of the brain's wiring diagram and the pattern into which its connections are organized is thought to play an important role in cognitive function. The generative rules that shape the topology of…

Topological analysis of large scale protein-protein interaction networks (PINs) is important for understanding the organisational and functional principles of individual proteins. The number of interactions that a protein has in a PIN has…

Molecular Networks · Quantitative Biology 2013-04-02 Ernesto Estrada

Bistability plays a central role in the gene regulatory networks (GRNs) controlling many essential biological functions, including cellular differentiation and cell cycle control. However, establishing the network topologies that can…

Molecular Networks · Quantitative Biology 2015-03-19 Dan Siegal-Gaskins , Maria Katherine Mejia-Guerra , Gregory D. Smith , Erich Grotewold

There are diverse mechanisms driving the evolution of social networks. A key open question dealing with understanding their evolution is: How various preferential linking mechanisms produce networks with different features? In this paper we…

Physics and Society · Physics 2015-06-12 Haibo Hu , Jinli Guo , Xuan Liu

The deep Convolutional Neural Network (CNN) is the state-of-the-art solution for large-scale visual recognition. Following basic principles such as increasing the depth and constructing highway connections, researchers have manually…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Lingxi Xie , Alan Yuille

We consider networks with two types of nodes. The v-nodes, called centers, are hyper- connected and interact one to another via many u-nodes, called satellites. This central- ized architecture, widespread in gene networks, possesses two…

Molecular Networks · Quantitative Biology 2012-03-02 S. A. Vakulenko , O. Radulescu

Stratifying cancer patients based on their gene expression levels allows improving diagnosis, survival analysis and treatment planning. However, such data is extremely highly dimensional as it contains expression values for over 20000 genes…

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

This article describes a complex network model whose weights are proportional to the difference between uniformly distributed ``fitness'' values assigned to the nodes. It is shown both analytically and experimentally that the strength…

Statistical Mechanics · Physics 2009-11-11 Luciano da Fontoura Costa , Gonzalo Travieso

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

Applications · Statistics 2012-07-02 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

We present a network model in which words over a specific alphabet, called {\it structures}, are associated to each node and undirected edges are added depending on some distance between different structures. It is shown that this model can…

Social and Information Networks · Computer Science 2015-05-20 P. Frisco

We propose a new preferential attachment-based network growth model in order to explain two properties of growing networks: (1) the power-law growth of node degrees and (2) the decay of node relevance. In preferential attachment models, the…

Physics and Society · Physics 2018-04-10 Jun Sun , Steffen Staab , Fariba Karimi

Background: Representing biological networks as graphs is a powerful approach to reveal underlying patterns, signatures, and critical components from high-throughput biomolecular data. However, graphs do not natively capture the multi-way…

An essential quantity to ensure evolvability of populations is the navigability of the genotype space. Navigability relies on the existence of sufficiently large genotype networks, that is ensembles of sequences with the same phenotype that…

Populations and Evolution · Quantitative Biology 2017-04-20 Susanna Manrubia , Jose A. Cuesta

Exponential-family random network (ERN) models specify a joint representation of both the dyads of a network and nodal characteristics. This class of models allow the nodal characteristics to be modelled as stochastic processes, expanding…

Methodology · Statistics 2013-03-07 Ian E. Fellows , Mark S. Handcock

We study living neural networks by measuring the neurons' response to a global electrical stimulation. Neural connectivity is lowered by reducing the synaptic strength, chemically blocking neurotransmitter receptors. We use a…

Neurons and Cognition · Quantitative Biology 2010-07-30 Ilan Breskin , Jordi Soriano , Elisha Moses , Tsvi Tlusty

We study aggregation as a mechanism for the creation of complex networks. In this evolution process vertices merge together, which increases the number of highly connected hubs. We study a range of complex network architectures produced by…

Statistical Mechanics · Physics 2009-11-10 M. J. Alava , S. N. Dorogovtsev