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DNA methylation is a significant driver of cell-type heterogeneity and has been implicated in various regulatory processes ranging from cell differentiation to imprinting. As the methyl group is embedded in the DNA molecule, assessing DNA…

Quantitative Methods · Quantitative Biology 2023-04-13 Aleksa Krsmanovic

Motivation: Bisulphite sequencing enables the detection of cytosine methylation. The sequence of the methylation states of cytosines on any given read forms a methylation pattern that carries substantially more information than merely…

Genomics · Quantitative Biology 2014-12-09 Peijie Lin , Sylvain Foret , Susan R. Wilson , Conrad J. Burden

DNA methylation (DNAme) is a critical component of the epigenetic regulatory machinery and aberrations in DNAme patterns occur in many diseases, such as cancer. Mapping and understanding DNAme profiles offers considerable promise for…

We develop Bayesian inference methods for a recently-emerging type of epigenetic data to study the transmission fidelity of DNA methylation patterns over cell divisions. The data consist of parent-daughter double-stranded DNA methylation…

In microbiome studies, it is often of great interest to identify clusters or partitions of microbiome profiles within a study population and to characterize the distinctive attributes of each resulting microbial community. While raw counts…

Methodology · Statistics 2025-08-18 Zhongmao Liu , Xiaohui Yin , Yanjiao Zhou , Gen Li , Kun Chen

Background: The analysis of DNA methylation is a key component in the development of personalized treatment approaches. A common way to measure DNA methylation is the calculation of beta values, which are bounded variables of the form M =…

Methodology · Statistics 2016-07-26 Leonie Weinhold , Simone Wahl , Matthias Schmid

Epigenetic observations are represented by the total number of reads from a given pool of cells and the number of methylated reads, making it reasonable to model this data by a binomial distribution. There are numerous factors that can…

Applications · Statistics 2020-04-29 Aliaksandr Hubin , Geir O Storvik , Paul E Grini , Melinka A Butenko

\textbf{Background}: Identifying differentially methylated regions (DMRs) is a basic task in DNA methylation analysis. However, due to the different strategies adopted, different DMR sets will be predicted on the same dataset, which poses a…

Quantitative Methods · Quantitative Biology 2024-07-16 Wenjin Zhang , Wenlong Jie , Wanxin Cui , Guihua Duan , You zou , Xiaoqing Peng

Identifying differentially methylated cytosine-guanine dinucleotide (CpG) sites between benign and tumour samples can assist in understanding disease. However, differential analysis of bounded DNA methylation data often requires data…

RNA-Seq data characteristically exhibits large variances, which need to be appropriately accounted for in the model. We first explore the effects of this variability on the maximum likelihood estimator (MLE) of the overdispersion parameter…

Methodology · Statistics 2015-12-03 Luis Leon-Novelo , Claudio Fuentes , Sarah Emerson

DNA methylation is an epigenetic mechanism whose important role in development has been widely recognized. This epigenetic modification results in heritable changes in gene expression not encoded by the DNA sequence. The underlying…

Genomics · Quantitative Biology 2017-07-11 Alexander Lück , Pascal Giehr , Jörn Walter , Verena Wolf

DNA methylation is an intensely studied epigenetic mark implicated in many biological processes of direct clinical relevance. While sequencing based technologies are increasingly allowing high resolution measurements of DNA methylation,…

Quantitative Methods · Quantitative Biology 2014-10-27 Tom Mayo , Gabriele Schweikert , Guido Sanguinetti

Modern cancer genomics datasets involve widely varying sizes and scales, measurement variables, and correlation structures. A fundamental analytical goal in these high-throughput studies is the development of general statistical techniques…

Methodology · Statistics 2022-04-12 Chiyu Gu , Veerabhadran Baladandayuthapani , Subharup Guha

DNA methylation datasets in cancer studies are comprised of measurements on a large number of genomic locations called cytosine-phosphate-guanine (CpG) sites with complex correlation structures. A fundamental goal of these studies is the…

Methodology · Statistics 2023-05-05 Chiyu Gu , Veerabhadran Baladandayuthapani , Subharup Guha

Motivation: DNA methylation is an intensely studied epigenetic mark, yet its functional role is incompletely understood. Attempts to quantitatively associate average DNA methylation to gene expression yield poor correlations outside of the…

Genomics · Quantitative Biology 2016-11-17 Chantriolnt-Andreas Kapourani , Guido Sanguinetti

Detecting associations between microbial compositions and sample characteristics is one of the most important tasks in microbiome studies. Most of the existing methods apply univariate models to single microbial species separately, with…

Identifying genetic regulators of DNA methylation (mQTLs) with multivariate models enhances statistical power, but is challenged by missing data from bisulfite sequencing. Standard imputation-based methods can introduce bias, limiting…

This article concerns testing for equality of distribution between groups. We focus on screening variables with shared distributional features such as common support, modes and patterns of skewness. We propose a Bayesian testing method…

Methodology · Statistics 2016-02-19 Eric F. Lock , David B. Dunson

In certain privacy-sensitive scenarios within fields such as clinical trial simulations, federated learning, and distributed learning, researchers often face the challenge of estimating correlations between variables without access to…

Methodology · Statistics 2025-08-05 Longwen Shang , Min Tsao , Xuekui Zhang

Questions of understanding and quantifying the representation and amount of information in organisms have become a central part of biological research, as they potentially hold the key to fundamental advances. In this paper, we demonstrate…

Genomics · Quantitative Biology 2007-10-30 H. M. Aktulga , I. Kontoyiannis , L. A. Lyznik , L. Szpankowski , A. Y. Grama , W. Szpankowski
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