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Background: Single-cell RNA sequencing (scRNA-seq) is a powerful profiling technique at the single-cell resolution. Appropriate analysis of scRNA-seq data can characterize molecular heterogeneity and shed light into the underlying cellular…

Applications · Statistics 2019-08-05 Siamak Zamani Dadaneh , Paul de Figueiredo , Sing-Hoi Sze , Mingyuan Zhou , Xiaoning Qian

Stem cell heterogeneity is essential for the homeostasis in tissue development. This paper established a general formulation for understanding the dynamics of stem cell regeneration with cell heterogeneity and random transitions of…

Populations and Evolution · Quantitative Biology 2024-07-12 Jinzhi Lei

In a multicellular organism different cell types express a gene in different amounts. Samples from which gene expression levels can be measured typically contain a mixture of different cell types, the resulting measurements thus give only…

Quantitative Methods · Quantitative Biology 2017-08-09 Nico Riedel , Johannes Berg

The advances of next-generation sequencing technology have accelerated study of the microbiome and stimulated the high throughput profiling of metagenomes. The large volume of sequenced data has encouraged the rise of various studies for…

Methodology · Statistics 2019-04-30 Qiwei Li , Shuang Jiang , Andrew Y. Koh , Guanghua Xiao , Xiaowei Zhan

Mounting evidence underscores the prevalent hierarchical organization of cancer tissues. At the foundation of this hierarchy reside cancer stem cells, a subset of cells endowed with the pivotal role of engendering the entire cancer tissue…

Applications · Statistics 2023-08-21 Shuli Chen , Yuman Wang , Da Zhou , Jie Hu

Transcription is a complex phenomenon that permits the conversion of genetic information into phenotype by means of an enzyme called RNA polymerase, which erratically moves along and scans the DNA template. We perform Bayesian inference…

Biological Physics · Physics 2023-07-18 Massimo Cavallaro , Yuexuan Wang , Daniel Hebenstreit , Ritabrata Dutta

Recent advances in technology have enabled the measurement of RNA levels for individual cells. Compared to traditional tissue-level bulk RNA-seq data, single cell sequencing yields valuable insights about gene expression profiles for…

Applications · Statistics 2019-04-16 Lingxue Zhu , Jing Lei , Bernie Devlin , Kathryn Roeder

Identifying concentrations of components from an observed mixture is a fundamental problem in signal processing. It has diverse applications in fields ranging from hyperspectral imaging to denoising biomedical sensors. This paper focuses on…

Computational Engineering, Finance, and Science · Computer Science 2016-11-17 Shahin Mohammadi , Neta Zuckerman , Andrea Goldsmith , Ananth Grama

Tissue heterogeneity is a major confounding factor in studying individual populations that cannot be resolved directly by global profiling. Experimental solutions to mitigate tissue heterogeneity are expensive, time consuming, inapplicable…

Molecular phylogenetic and phylogeographic reconstructions generally assume time-homogeneous substitution processes. Motivated by computational convenience, this assumption sacrifices biological realism and offers little opportunity to…

Populations and Evolution · Quantitative Biology 2013-09-13 Filip Bielejec , Philippe Lemey , Guy Baele , Andrew Rambaut , Marc A Suchard

We classify two types of Hierarchical Bayesian Model found in the literature as Hierarchical Prior Model (HPM) and Hierarchical Stochastic Model (HSM). Then, we focus on studying the theoretical implications of the HSM. Using examples of…

Applications · Statistics 2016-11-10 Stephen Wu , Panagiotis Angelikopoulos , James L. Beck , Petros Koumoutsakos

Understanding how stochastic gene expression is regulated in biological systems using snapshots of single-cell transcripts requires state-of-the-art methods of computational analysis and statistical inference. A Bayesian approach to…

Quantitative Methods · Quantitative Biology 2018-12-10 Yen Ting Lin , Nicolas E. Buchler

We present an end-to-end statistical framework for personalized, accurate, and minimally invasive modeling of female reproductive hormonal patterns. Reconstructing and forecasting the evolution of hormonal dynamics is a challenging task,…

Machine Learning · Computer Science 2019-08-28 Iñigo Urteaga , Tristan Bertin , Theresa M. Hardy , David J. Albers , Noémie Elhadad

Phenotypic heterogeneity along the epithelial-mesenchymal (E-M) axis contributes to cancer metastasis and drug resistance. Recent experimental efforts have collated detailed time-course data on the emergence and dynamics of E-M…

Analysis of PDEs · Mathematics 2023-09-19 Jules Guilberteau , Paras Jain , Mohit Kumar Jolly , Nastassia Pouradier Duteil , Camille Pouchol

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

Applications · Statistics 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

We present a Bayesian hierarchical multi-view mixture model termed Symphony that simultaneously learns clusters of cells representing cell types and their underlying gene regulatory networks by integrating data from two views: single-cell…

Machine Learning · Statistics 2019-02-22 Cassandra Burdziak , Elham Azizi , Sandhya Prabhakaran , Dana Pe'er

In this paper, we develop a graphical modeling framework for the inference of networks across multiple sample groups and data types. In medical studies, this setting arises whenever a set of subjects, which may be heterogeneous due to…

Identifying genes underlying cancer development is critical to cancer biology and has important implications across prevention, diagnosis and treatment. Cancer sequencing studies aim at discovering genes with high frequencies of somatic…

Applications · Statistics 2013-12-09 Jie Ding , Lorenzo Trippa , Xiaogang Zhong , Giovanni Parmigiani

Identifying differentially expressed (DE) genes associated with a sample characteristic is the primary objective of many microarray studies. As more and more studies are carried out with observational rather than well controlled…

Applications · Statistics 2012-07-02 Xi Kathy Zhou , Fei Liu , Andrew J. Dannenberg

Tumor is heterogeneous - a tumor sample usually consists of a set of subclones with distinct transcriptional profiles and potentially different degrees of aggressiveness and responses to drugs. Understanding tumor heterogeneity is therefore…

Applications · Statistics 2017-02-28 Fangzheng Xie , Mingyuan Zhou , Yanxun Xu