ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Ivanchenko M. V. Competition in the two­component model of the immune T-cell ensemble. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 3, pp. 33-45. DOI: 10.18500/0869-6632-2010-18-3-33-45

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86, 530.182
DOI: 
10.18500/0869-6632-2010-18-3-33-45

Competition in the two­component model of the immune T-cell ensemble

Autors: 
Ivanchenko Mihail Vasilevich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

We study the process of competition in the two­component model of the immune T­cells ensemble that underpins the selection mechanism of the most efficient T­cell species (clonotypes). We demonstrate the absence of periodic oscillations, determine the regions of coexistence, partial and mutual extinction of clonotypes. Applicability of the mean field approximation is analyzed. The biological implications of the results are discussed.

Key words: 
competition
bifurcations
immune system
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Received: 
03.12.2009
Accepted: 
24.02.2010
Published: 
30.06.2010
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