Mathematical characterization of private and public Immune receptor sequences

DOI10.1007/s11538-023-01190-zzbMath1526.92013arXiv2205.08750OpenAlexW4386726463MaRDI QIDQ6078299

Tom Chou, Sascha Wald, Lucas Böttcher

Publication date: 24 October 2023

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.08750

zbMATH Keywords

samplingoverlapdiversitypublic/private clonesT cell repertoire

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Pathology, pathophysiology (92C32)

Cites Work

• Unnamed Item
• On computing the distribution function for the Poisson binomial distribution
• How many TCR clonotypes does a body maintain?
• A characterization of entropy in terms of information loss
• Exact steady-state distributions of multispecies birth-death-immigration processes: effects of mutations and carrying capacity on diversity
• A mathematical model of the effects of aging on naive T cell populations and diversity
• Methods for diversity and overlap analysis in T-cell receptor populations
• An improved nonparametric lower bound of species richness via a modified good-turing frequency formula
• Bias analysis in entropy estimation
• Estimating the Number of Classes via Sample Coverage
• Nonparametric Lower Bounds for Species Richness and Shared Species Richness under Sampling without Replacement
• A Penalized Nonparametric Maximum Likelihood Approach to Species Richness Estimation

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