Evaluation of CD8+ T-cell numbers and repertoires

Abstract

This thesis tackles the problem of T-cell receptor (TCR) diversity, from two diﬀerent points of view. On one hand, the observed TCR diversity is studied from a mathematical perspective, concentrating on the probability of a sample to reproduce a certain percentage of the total TCR diversity. On the other hand, biological samples are considered, focusing on statistical analysis of the observed VDJ gene segments. To conclude, a stochastic model is developed to explore the population dynamics of a simulated TCR repertoire. Computer simulations complete this multidisciplinary approach, helping verifying the diﬀerent mathematical theories behind the stochastic models.

Metadata

Supervisors:	Lythe, Grant and Molina-Paris, Carmen
Keywords:	Mathematics, Immunology, T-cell, CD8, modelling
Awarding institution:	University of Leeds
Academic Units:	The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Identification Number/EthosID:	uk.bl.ethos.755129
Depositing User:	Dr. Marco Ferrarini
Date Deposited:	04 Oct 2018 15:45
Last Modified:	21 May 2025 13:27
Open Archives Initiative ID (OAI ID):	oai:etheses.whiterose.ac.uk:21520

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Evaluation of CD8+ T-cell numbers and repertoires

Abstract

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Final eThesis - complete (pdf)

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