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In this paper, we consider two stochastic models of gene expression in prokaryotic cells. In the first model, sixteen biochemical reactions involved in transcription, translation and transcriptional regulation in the presence of inducer…

Condensed Matter · Physics 2007-05-23 Indrani Bose , Rajesh Karmakar , Siddhartha Roy

In the early days of gene expression data, researchers have focused on gene-level analysis, and particularly on finding differentially expressed genes. This usually involved making a simplifying assumption that genes are independent, which…

Applications · Statistics 2021-06-29 Haim Bar , Seojin Bang

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

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

Single-cell data analysis seeks to characterize cellular heterogeneity based on high-dimensional gene expression profiles. Conventional approaches represent each cell as a vector in Euclidean space, which limits their ability to capture…

Machine Learning · Computer Science 2025-11-18 Xiang Xiang Wang , Sean Cottrell , Guo-Wei Wei

Constructing gene regulatory networks is a fundamental task in systems biology. We introduce a Gaussian reciprocal graphical model for inference about gene regulatory relationships by integrating mRNA gene expression and DNA level…

Methodology · Statistics 2016-07-26 Yang Ni , Yuan Ji , Peter Mueller

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

We present a new combinatorial model for identifying regulatory modules in gene co-expression data using a decomposition into weighted cliques. To capture complex interaction effects, we generalize the previously-studied weighted edge…

Data Structures and Algorithms · Computer Science 2021-09-08 Madison Cooley , Casey S. Greene , Davis Issac , Milton Pividori , Blair D. Sullivan

Gene regulatory networks play a crucial role in controlling an organism's biological processes, which is why there is significant interest in developing computational methods that are able to extract their structure from high-throughput…

Machine Learning · Statistics 2019-09-11 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Single-cell RNA sequencing (scRNA-seq) data simulation is limited by classical methods that rely on linear correlations, failing to capture the intrinsic, nonlinear dependencies. No existing simulator jointly models gene-gene and cell-cell…

Quantitative Methods · Quantitative Biology 2025-12-22 Selim Romero , Vignesh S. Kumar , Robert S. Chapkin , James J. Cai

Single-cell gene expression data provide invaluable resources for systematic characterization of cellular hierarchy in multi-cellular organisms. However, cell lineage reconstruction is still often associated with significant uncertainty due…

Quantitative Methods · Quantitative Biology 2016-01-13 Gregory Giecold , Eugenio Marco , Lorenzo Trippa , Guo-Cheng Yuan

Statistical analysis of DNA mixtures is known to pose computational challenges due to the enormous state space of possible DNA profiles. We propose a Bayesian network representation for genotypes, allowing computations to be performed…

Methodology · Statistics 2014-02-21 Therese Graversen , Steffen Lauritzen

Complex systems are often modeled as Boolean networks in attempts to capture their logical structure and reveal its dynamical consequences. Approximating the dynamics of continuous variables by discrete values and Boolean logic gates may,…

Molecular Networks · Quantitative Biology 2013-05-29 Johannes Norrell , Joshua E. S. Socolar

We show how to construct a reduced description of interacting genes in noisy, small regulatory networks using coupled binary "spin" variables. Treating both the protein number and gene expression state variables stochastically and on equal…

Molecular Networks · Quantitative Biology 2015-05-13 Aleksandra M. Walczak , Peter G. Wolynes

Motivation: Inferring the structure of gene regulatory networks from high--throughput datasets remains an important and unsolved problem. Current methods are hampered by problems such as noise, low sample size, and incomplete…

Quantitative Methods · Quantitative Biology 2017-12-04 Phan Nguyen , Rosemary Braun

The co-evolution of network topology and dynamics is studied in an evolutionary Boolean network model that is a simple model of gene regulatory network. We find that a critical state emerges spontaneously resulting from interplay between…

Statistical Mechanics · Physics 2007-05-23 Min Liu , Kevin E. Bassler

Regulatory interactions between genes show a large amount of cross-species variability, even when the underlying functions are conserved: There are many ways to achieve the same function. Here we investigate the ability of regulatory…

Molecular Networks · Quantitative Biology 2015-05-13 Franck Stauffer , Johannes Berg

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

We characterize different cell states, related to cancer and ageing phenotypes, by a measure of entropy of network ensembles, integrating gene expression values and protein interaction networks. The entropy measure estimates the parameter…

Molecular Networks · Quantitative Biology 2013-05-24 G. Menichetti , G. Bianconi , E. Giampieri , G. Castellani , D. Remondini

Boolean networks with canalizing functions are used to model gene regulatory networks. In order to learn how such networks may behave under evolutionary forces, we simulate the evolution of a single Boolean network by means of an adaptive…

Populations and Evolution · Quantitative Biology 2011-11-09 Agnes Szejka , Barbara Drossel