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This review maps developments in stochastic modeling, highlighting non-standard approaches and their applications to biology and epidemiology. It brings together four strands: (1) core models for systems that evolve with randomness; (2)…

Dynamical Systems · Mathematics 2025-10-24 Yassine Sabbar , Kottakkaran Sooppy Nisar

We propose a probabilistic model for interpreting gene expression levels that are observed through single-cell RNA sequencing. In the model, each cell has a low-dimensional latent representation. Additional latent variables account for…

Machine Learning · Computer Science 2018-01-18 Romain Lopez , Jeffrey Regier , Michael Cole , Michael Jordan , Nir Yosef

The discovery of nucleic acids and the structure of DNA have brought considerable advances in the understanding of life. The development of next-generation sequencing technologies has led to a large-scale generation of data, for which…

Molecular Networks · Quantitative Biology 2022-03-30 Murilo Montanini Breve , Matheus Henrique Pimenta-Zanon , Fabrício Martins Lopes

Network inference approaches are now widely used in biological applications to probe regulatory relationships between molecular components such as genes or proteins. Many methods have been proposed for this setting, but the connections and…

Applications · Statistics 2014-06-03 Chris. J. Oates , Sach Mukherjee

Nanopore sequencing technology has the potential to render other sequencing technologies obsolete with its ability to generate long reads and provide portability. However, high error rates of the technology pose a challenge while generating…

Genomics · Quantitative Biology 2019-12-20 Damla Senol Cali , Jeremie S. Kim , Saugata Ghose , Can Alkan , Onur Mutlu

Cell clustering is crucial for uncovering cellular heterogeneity in single-cell RNA sequencing (scRNA-seq) data by identifying cell types and marker genes. Despite its importance, benchmarks for scRNA-seq clustering methods remain…

Genomics · Quantitative Biology 2025-12-03 Ping Xu , Zaitian Wang , Zhirui Wang , Pengjiang Li , Jiajia Wang , Ran Zhang , Pengfei Wang , Yuanchun Zhou

Bacteria reside in constantly changing environments and require rapid and precise adjustments of gene expression to ensure survival. Small regulatory RNAs (sRNAs) are a crucial element that bacteria utilize to achieve this. sRNAs are short…

Molecular Networks · Quantitative Biology 2024-11-26 Aviezer Silverman , Sahar Melamed

We propose a probabilistic model for interpreting gene expression levels that are observed through single-cell RNA sequencing. In the model, each cell has a low-dimensional latent representation. Additional latent variables account for…

Machine Learning · Computer Science 2017-10-18 Romain Lopez , Jeffrey Regier , Michael Cole , Michael Jordan , Nir Yosef

Software engineering research is evolving and papers are increasingly based on empirical data from a multitude of sources, using statistical tests to determine if and to what degree empirical evidence supports their hypotheses. To…

Software Engineering · Computer Science 2024-10-03 Francisco Gomes de Oliveira Neto , Richard Torkar , Robert Feldt , Lucas Gren , Carlo A. Furia , Ziwei Huang

Estimating and testing for differences in molecular phenotypes (e.g. gene expression, chromatin accessibility, transcription factor binding) across conditions is an important part of understanding the molecular basis of gene regulation.…

Deep learning continues to revolutionize an ever-growing number of critical application areas including healthcare, transportation, finance, and basic sciences. Despite their increased predictive power, model transparency and human…

Machine Learning · Computer Science 2020-04-28 Benjamin Shickel , Parisa Rashidi

RNA velocity is a model of gene expression dynamics designed to analyze single-cell RNA sequencing (scRNA-seq) data, and it has recently gained significant attention. However, despite its popularity, the model has raised several concerns,…

Applications · Statistics 2025-05-07 Elena Sabbioni , Enrico Bibbona , Gianluca Mastrantonio , Guido Sanguinetti

In this paper we treat some fractal and statistical features of the DNA sequences. First, a fractal record model of DNA sequence is proposed by mapping DNA sequences to integer sequences, followed by R/S analysis of the model and…

Biological Physics · Physics 2018-01-17 Zu-Guo Yu , Guo-Yi Chen

Much of the on-going statistical analysis of DNA sequences is focused on the estimation of characteristics of coding and non-coding regions that would possibly allow discrimination of these regions. In the current approach, we concentrate…

Genomics · Quantitative Biology 2009-11-10 D. Kugiumtzis , A. Provata

Classification algorithms using RNA-Sequencing (RNA-Seq) data as input are used in a variety of biological applications. By nature, RNA-Seq data is subject to uncontrolled fluctuations both within and especially across datasets, which…

Genomics · Quantitative Biology 2023-01-13 Paola Malsot , Filipe Martins , Didier Trono , Guillaume Obozinski

Despite great interest in solving RNA secondary structures due to their impact on function, it remains an open problem to determine structure from sequence. Among experimental approaches, a promising candidate is the "chemical modification…

Quantitative Methods · Quantitative Biology 2011-06-30 Sharon Aviran , Julius B. Lucks , Lior Pachter

Accurate prediction of RNA properties, such as stability and interactions, is crucial for advancing our understanding of biological processes and developing RNA-based therapeutics. RNA structures can be represented as 1D sequences, 2D…

Quantitative Methods · Quantitative Biology 2025-04-22 Junjie Xu , Artem Moskalev , Tommaso Mansi , Mangal Prakash , Rui Liao

Applications of single-cell RNA sequencing in various biomedical research areas have been blooming. This new technology provides unprecedented opportunities to study disease heterogeneity at the cellular level. However, unique…

Genomics · Quantitative Biology 2021-10-26 Xinlei Mi , William Bekerman , Peter A. Sims , Peter D. Canoll , Jianhua Hu

The last twenty years have witnessed molecular data emerge as a primary research instrument in most branches of mycology. Fungal systematics, taxonomy, and ecology have all seen tremendous progress and have undergone rapid, far-reaching…

Online detection of changes in stochastic systems, referred to as sequential change detection or quickest change detection, is an important research topic in statistics, signal processing, and information theory, and has a wide range of…

Statistics Theory · Mathematics 2021-04-12 Liyan Xie , Shaofeng Zou , Yao Xie , Venugopal V. Veeravalli