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T-cell receptors (TCR) are key proteins of the adaptive immune system, generated randomly in each individual, whose diversity underlies our ability to recognize infections and malignancies. Modeling the distribution of TCR sequences is of…

Quantitative Methods · Quantitative Biology 2020-07-01 Giulio Isacchini , Zachary Sethna , Yuval Elhanati , Armita Nourmohammad , Aleksandra M. Walczak , Thierry Mora

An essential feature of the adaptive immune system is the proliferation of antigen-specific lymphocytes during an immune reaction to form a large pool of effector cells. This proliferation must be regulated to ensure an effective response…

Populations and Evolution · Quantitative Biology 2021-01-06 Andreas Mayer , Yaojun Zhang , Alan S. Perelson , Ned S. Wingreen

Challenges of assessing complexity and clonality in populations of mixed species arise in diverse areas of modern biology, including estimating diversity and clonality in microbiome populations, measuring patterns of T and B cell clonality,…

Methodology · Statistics 2014-08-07 Yi Liu , Andrew Z. Fire , Scott Boyd , Richard A. Olshen

Large deviations for additive path functionals of stochastic dynamics and related numerical approaches have attracted significant recent research interest. We focus on the question of convergence properties for cloning algorithms in…

Statistical Mechanics · Physics 2021-07-21 Letizia Angeli , Stefan Grosskinsky , Adam M. Johansen , Andrea Pizzoferrato

Traditional methods for covariate adjustment of treatment means in designed experiments are inherently conditional on the observed covariate values. In order to develop a coherent general methodology for analysis of covariance, we propose a…

Methodology · Statistics 2010-01-19 James G. Booth , Walter T. Federer , Martin T. Wells , Russell D. Wolfinger

Uncertainties from experiments and models render multi-modal difficulties in model calibrations. Bayesian inference and \textsc{mcmc} algorithm have been applied to obtain posterior distributions of model parameters upon uncertainty.…

Numerical Analysis · Mathematics 2021-07-16 Yue-Chao Zhu , Zhaoxi Sun , Qiao-Le He

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

Methodology · Statistics 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

A general random effects model is proposed that allows for continuous as well as discrete distributions of the responses. Responses can be unrestricted continuous, bounded continuous, binary, ordered categorical or given in the form of…

Methodology · Statistics 2024-04-30 Gerhard Tutz

Mendelian Randomization (MR) is a popular method in epidemiology and genetics that uses genetic variation as instrumental variables for causal inference. Existing MR methods usually assume most genetic variants are valid instrumental…

Applications · Statistics 2022-06-15 Daniel Iong , Qingyuan Zhao , Yang Chen

Cells sense environmental signals and transmit information intracellularly through changes in the abundance of molecular components. Such molecular abundances can be measured in single cells and exhibit significant heterogeneity in clonal…

Quantitative Methods · Quantitative Biology 2024-09-27 Raymond Fan , Andreas Hilfinger

This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

Machine Learning · Statistics 2013-12-30 Faicel Chamroukhi , Allou Samé , Patrice Aknin , Gérard Govaert

Growth mixture models are an important tool for detecting group structure in repeated measures data. Unlike traditional clustering methods, they explicitly model the repeat measurements on observations, and the statistical framework they…

Methodology · Statistics 2017-10-20 Abby Flynt , Nema Dean

For a genomically unstable cancer, a single tumour biopsy will often contain a mixture of competing tumour clones. These tumour clones frequently differ with respect to their genomic content (copy number of each gene) and structure (order…

Genomics · Quantitative Biology 2015-04-28 Andrew McPherson , Andrew Roth , Gavin Ha , Sohrab P. Shah , Cedric Chauve , S. Cenk Sahinalp

A major challenge for cancer pathologists is to determine whether a new tumor in a patient with cancer is a metastasis or an independent occurrence of the disease. In recent years numerous studies have evaluated pairs of tumor specimens to…

Applications · Statistics 2015-11-18 Irina Ostrovnaya , Venkatraman E. Seshan , Colin B. Begg

This article develops a general-purpose adaptive sampler that approximates the target density by a mixture of multivariate t densities. The adaptive sampler is based on reversible proposal distributions each of which has the mixture of…

Methodology · Statistics 2013-08-22 Minh-Ngoc Tran , Michael K. Pitt , Robert Kohn

The human T cell repertoire is generated by the rearrangement of variable (V), diversity (D) and joining (J) segments on the T cell receptor (TCR) loci. To determine whether the structural ordering of these gene segments on the TCR loci…

Genomics · Quantitative Biology 2019-12-17 Amir A. Toor , Abdullah A. Toor , Masoud H. Manjili

High-dimensional data of discrete and skewed nature is commonly encountered in high-throughput sequencing studies. Analyzing the network itself or the interplay between genes in this type of data continues to present many challenges. As…

Methodology · Statistics 2017-12-01 Anjali Silva , Steven J. Rothstein , Paul D. McNicholas , Sanjeena Subedi

In a longitudinal metabolomics study, multiple metabolites are measured from several observations at many time points. Interest lies in reducing the dimensionality of such data and in highlighting influential metabolites which change over…

Applications · Statistics 2013-12-10 Gift Nyamundanda , Isobel Claire Gormley , Lorraine Brennan

Model-based clustering methods for continuous data are well established and commonly used in a wide range of applications. However, model-based clustering methods for categorical data are less standard. Latent class analysis is a commonly…

Methodology · Statistics 2013-02-20 Isabella Gollini , Thomas Brendan Murphy

Mixture cure models are widely used in survival analysis when a portion of patients is considered cured and is no longer at risk for the event of interest. In clinical settings, dynamic survival prediction is particularly important to…

Methodology · Statistics 2025-09-24 Marta Cipriani , Marco Alfò , Mirko Signorelli