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In this paper, we use the framework of infinitesimal homeostasis to study general design principles for the occurrence of homeostasis in gene regulatory networks. We assume that the dynamics of the genes explicitly includes both…

Molecular Networks · Quantitative Biology 2023-09-14 Fernando Antoneli , Martin Golubitsky , Jiaxin Jin , Ian Stewart

By integrating heterogeneous functional genomic datasets, we have developed a new framework for detecting combinatorial control of gene expression, which includes estimating transcription factor activities using a singular value…

Quantitative Methods · Quantitative Biology 2010-10-07 Junbai Wang

Gene regulatory networks (GRNs) define the regulatory relationships among molecules such as transcription factors, chromatin remodelers, and target genes. GRNs play a critical role in diverse biological processes, including development,…

Molecular Networks · Quantitative Biology 2026-02-24 Junha Shin , Spencer Halberg-Spencer , Yuda Liu , Suvojit Hazra , Erika Da-Inn Lee , Sushmita Roy

When analysing gene expression time series data an often overlooked but crucial aspect of the model is that the regulatory network structure may change over time. Whilst some approaches have addressed this problem previously in the…

Molecular Networks · Quantitative Biology 2012-03-05 Thomas Thorne , Michael P. H Stumpf

Cellular phenotypes are determined by the dynamical activity of networks of co-regulated genes. Elucidating such networks is crucial for the understanding of normal cell physiology as well as for the dissection of complex pathologic…

Molecular Networks · Quantitative Biology 2007-05-23 Kai Wang , Nilanjana Banerjee , Adam Margolin , Ilya Nemenman , Katia Basso , Riccardo Favera , Andrea Califano

Inferring functional relationships within complex networks from static snapshots of a subset of variables is a ubiquitous problem in science. For example, a key challenge of systems biology is to translate cellular heterogeneity data…

Molecular Networks · Quantitative Biology 2024-08-09 Euan Joly-Smith , Zitong Jerry Wang , Andreas Hilfinger

This paper is motivated by the comparison of genetic networks based on microarray samples. The aim is to test whether the differences observed between two inferred Gaussian graphical models come from real differences or arise from…

Statistics Theory · Mathematics 2014-06-20 Camille Charbonnier , Nicolas Verzelen , Fanny Villers

Stem cell regeneration is a vital biological process in self-renewing tissues, governing development and tissue homeostasis. Gene regulatory network dynamics are pivotal in controlling stem cell regeneration and cell type transitions.…

Molecular Networks · Quantitative Biology 2024-04-19 Yakun Li , Xiyin Liang , Jinzhi Lei

Time-continuous dynamical systems defined on graphs are often used to model complex systems with many interacting components in a non-spatial context. In the reverse sense attaching meaningful dynamics to given 'interaction diagrams' is a…

Molecular Networks · Quantitative Biology 2010-07-02 Markus Kirkilionis , Luca Sbano

Graphical causal models are an important tool for knowledge discovery because they can represent both the causal relations between variables and the multivariate probability distributions over the data. Once learned, causal graphs can be…

Artificial Intelligence · Computer Science 2017-04-11 Andrew J Sedgewick , Joseph D. Ramsey , Peter Spirtes , Clark Glymour , Panayiotis V. Benos

Graph convolutional neural networks (GCNN) have numerous applications in different graph based learning tasks. Although the techniques obtain impressive results, they often fall short in accounting for the uncertainty associated with the…

Machine Learning · Computer Science 2019-11-13 Soumyasundar Pal , Florence Regol , Mark Coates

Directional tests to compare incomplete undirected graphs are developed in the general context of covariance selection for Gaussian graphical models. The exactness of the underlying saddlepoint approximation is proved for chordal graphs and…

Methodology · Statistics 2023-05-16 Claudia Di Caterina , Nancy Reid , Nicola Sartori

It is well known that the integration among different data-sources is reliable because of its potential of unveiling new functionalities of the genomic expressions which might be dormant in a single source analysis. Moreover, different…

Methodology · Statistics 2021-12-08 Arnab Kumar Maity , Sang Chan Lee , Bani K. Mallick , Tapasree Roy Sarkar

We introduce a graph generating model aimed at representing the evolution of protein interaction networks. The model is based on the hypotesis of evolution by duplications and divergence of the genes which produce proteins. The obtained…

Statistical Mechanics · Physics 2007-05-23 A. Vazquez , A. Flammini , A. Maritan , A. Vespignani

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

Methodology · Statistics 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

Several statistical models used in genome-wide prediction assume independence of marker allele substitution effects, but it is known that these effects might be correlated. In statistics, graphical models have been identified as a useful…

Quantitative Methods · Quantitative Biology 2017-04-13 Carlos Alberto Martínez , Kshitij Khare , Syed Rahman , Mauricio A. Elzo

Gene regulatory network (GRN) modeling is a well-established theoretical framework for the study of cell-fate specification during developmental processes. Recently, dynamical models of GRNs have been taken as a basis for formalizing the…

Molecular Networks · Quantitative Biology 2015-10-15 Jose Davila-Velderrain , Luis Juarez-Ramiro , Juan C. Martinez-Garcia , Elena R. Alvarez-Buylla

Gene regulatory network inference is crucial for understanding the complex molecular interactions in various genetic and environmental conditions. The rapid development of single-cell RNA sequencing (scRNA-seq) technologies unprecedentedly…

Methodology · Statistics 2021-11-09 Feiyi Xiao , Junjie Tang , Huaying Fang , Ruibin Xi

Ising models are a simple generative approach to describing interacting binary variables. They have proven useful in a number of biological settings because they enable one to represent observed many-body correlations as the separable…

Machine Learning · Computer Science 2021-09-10 Emma Slade , Sonya Kiselgof , Lena Granovsky , Jeremy L. England

In the last years, tens of thousands gene expression profiles for cells of several organisms have been monitored. Gene expression is a complex transcriptional process where mRNA molecules are translated into proteins, which control most of…

Biomolecules · Quantitative Biology 2009-11-11 T. Ochiai , J. C. Nacher , T. Akutsu