Methods for diversity and overlap analysis in T-cell receptor populations

DOI10.1007/s00285-012-0589-7zbMath1279.92034OpenAlexW2003485639WikidataQ36527662 ScholiaQ36527662MaRDI QIDQ2435078

Michał T. Seweryn, Grzegorz A. Rempała

Publication date: 3 February 2014

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

Full work available at URL: http://europepmc.org/articles/pmc3543521

zbMATH Keywords

Renyi entropycontingency tablesRenyi divergenceantigen receptorsrichness and diversity estimation

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Biochemistry, molecular biology (92C40) Ecology (92D40) Contingency tables (62H17) Systems biology, networks (92C42)

Related Items (3)

How many TCR clonotypes does a body maintain? ⋮ Limit theorems for empirical Rényi entropy and divergence with applications to molecular diversity analysis ⋮ Mathematical characterization of private and public Immune receptor sequences

Cites Work

• Asymptotic normality of a nonparametric estimator of sample coverage
• A normal limit law for a nonparametric estimator of the coverage of a random sample
• The efficiency of Good's nonparametric coverage estimator
• Model for comparative analysis of antigen receptor repertoires
• Convergence properties of functional estimates for discrete distributions
• Always Good Turing: Asymptotically Optimal Probability Estimation
• Universal Compression of Memoryless Sources Over Unknown Alphabets
• A Poisson model for the coverage problem with a genomic application
• THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
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