Source:http://linkedlifedata.com/resource/pubmed/id/20471403
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rdf:type | |
lifeskim:mentions | |
pubmed:issue |
3
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pubmed:dateCreated |
2010-7-16
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pubmed:abstractText |
Recognition of antigens by the adaptive immune system relies on a highly diverse T cell receptor repertoire. The mechanism that maintains this diversity is based on competition for survival stimuli; these stimuli depend upon weak recognition of self-antigens by the T cell antigen receptor. We study the dynamics of diversity maintenance as a stochastic competition process between a pair of T cell clonotypes that are similar in terms of the self-antigens they recognise. We formulate a bivariate continuous-time Markov process for the numbers of T cells belonging to the two clonotypes. We prove that the ultimate fate of both clonotypes is extinction and provide a bound on mean extinction times. We focus on the case where the two clonotypes exhibit negligible competition with other T cell clonotypes in the repertoire, since this case provides an upper bound on the mean extinction times. As the two clonotypes become more similar in terms of the self-antigens they recognise, one clonotype quickly becomes extinct in a process resembling classical competitive exclusion. We study the limiting probability distribution for the bivariate process, conditioned on non-extinction of both clonotypes. Finally, we derive deterministic equations for the number of cells belonging to each clonotype as well as a linear Fokker-Planck equation for the fluctuations about the deterministic stable steady state.
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pubmed:grant | |
pubmed:language |
eng
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pubmed:journal | |
pubmed:citationSubset |
IM
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pubmed:chemical | |
pubmed:status |
MEDLINE
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pubmed:month |
Aug
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pubmed:issn |
1095-8541
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pubmed:author | |
pubmed:copyrightInfo |
Copyright 2010 Elsevier Ltd. All rights reserved.
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pubmed:issnType |
Electronic
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pubmed:day |
7
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pubmed:volume |
265
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pubmed:owner |
NLM
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pubmed:authorsComplete |
Y
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pubmed:pagination |
396-410
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pubmed:meshHeading |
pubmed-meshheading:20471403-Autoantigens,
pubmed-meshheading:20471403-Computer Simulation,
pubmed-meshheading:20471403-Homeostasis,
pubmed-meshheading:20471403-Humans,
pubmed-meshheading:20471403-Markov Chains,
pubmed-meshheading:20471403-Models, Immunological,
pubmed-meshheading:20471403-Receptors, Antigen, T-Cell,
pubmed-meshheading:20471403-Self Tolerance,
pubmed-meshheading:20471403-Stochastic Processes,
pubmed-meshheading:20471403-T-Lymphocytes
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pubmed:year |
2010
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pubmed:articleTitle |
Stochastic competitive exclusion in the maintenance of the naïve T cell repertoire.
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pubmed:affiliation |
Department of Applied Mathematics, School of Mathematics, University of Leeds, Leeds LS2 9JT, UK.
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pubmed:publicationType |
Journal Article,
Research Support, Non-U.S. Gov't
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