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

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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

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

Ivanchenko Mihail Vasilevich, Lobachevsky State University of Nizhny Novgorod

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.

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