COMPETITION IN THE TWO­COMPONENT MODEL OF THE IMMUNE T­CELL ENSEMBLE


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Ivanchenko М. V. COMPETITION IN THE TWO­COMPONENT MODEL OF THE IMMUNE T­CELL ENSEMBLE. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 3, pp. 33-45. DOI: https://doi.org/10.18500/0869-6632-2010-18-3-33-45


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.

DOI: 
10.18500/0869-6632-2010-18-3-33-45
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BibTeX

@article{Иванченко -IzvVUZ_AND-18-3-33,
author = {М. V. Ivanchenko},
title = {COMPETITION IN THE TWO­COMPONENT MODEL OF THE IMMUNE T­CELL ENSEMBLE},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {3},
url = {https://old-andjournal.sgu.ru/en/articles/competition-in-the-twocomponent-model-of-the-immune-tcell-ensemble},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-3-33-45},pages = {33--45},issn = {0869-6632},
keywords = {competition,bifurcations,immune system.},
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. }}