Stochastic competitive exclusion in the maintenance of the naïve T cell repertoire

DOI10.1016/j.jtbi.2010.05.004zbMath1461.92026OpenAlexW2149977845WikidataQ51697679 ScholiaQ51697679MaRDI QIDQ1720092

Carmen Molina-París, Emily R. Stirk, Grant Lythe, Hugo Antonius van den Berg

Publication date: 12 February 2019

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

Full work available at URL: http://wrap.warwick.ac.uk/5456/1/WRAP_Van_den_berg_stochastic_competitive.pdf

zbMATH Keywords

large \(N\) expansionT cell homeostasisniche overlapstochastic bivariate birth and death processTCR diversity

Mathematics Subject Classification ID

Applications of branching processes (60J85) Cell biology (92C37) Pathology, pathophysiology (92C32)

Related Items (3)

Lifetime and reproduction of a marked individual in a two-species competition process ⋮ About a generalized model of lymphoma ⋮ Stochastic dynamics in a time-delayed model for autoimmunity

Uses Software

• Matlab

Cites Work

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• Quantifying the strength of ligand antagonism in TCR triggering
• Stochastic niche structure and diversity maintenance in the T cell repertoire
• Antigen presentation on MHC molecules as a diversity filter that enhances immune efficacy
• A POWER SERIES EXPANSION OF THE MASTER EQUATION
• Applied Multivariate Analysis
• Multivariate Competition Processes
• On quasi-stationary distributions in absorbing continuous-time finite Markov chains
• Approximations for the long-term behavior of an open-population epidemic model

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