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Sibirskii Zhurnal Industrial'noi Matematiki, 2022, Volume 25, Number 4, Pages 136–152
DOI: https://doi.org/10.33048/SIBJIM.2021.25.411 (Mi sjim1201) 		 
Numerical simulation of dynamics of T-lymphocytes population in the lymph node

N. V. Pertsevab, G. A. Bocharovbc, K. K. Loginovab

a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Marchuk Institute of Computational Mathematics RAS, ul. Gubkina 8, Moscow 119333, Russia
c Department of the Moscow Center for Fundamental and Applied Mathematics at ICM RAS, ul. Gubkina 8, Moscow 119333, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2021.25.411
Abstract: A mathematical model describing the dynamics of the population of CD4+ T-lymphocytes in a single lymph node is presented. The model is based on a delay high-dimensional system of nonlinear differential equations supplemented with initial data. The equations of the model are given and their correctness is investigated. The results of computational experiments with the model, illustrating the typical dynamics of cell populations under conditions of antigen-specific stimulation of the process of reproduction of cells of various types, are presented.
Keywords: CD4+ T-lymphocyte population, homeostasis, lymph node, mathematical model, model correctness, computational experiment, HIV-1 infection.
Funding agency Grant number
Russian Science Foundation 18-11-00171
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-286
Received: 06.06.2022
Revised: 20.06.2022
Accepted: 22.06.2022
Document Type: Article
UDC: 517.929:57
Language: Russian
Citation: N. V. Pertsev, G. A. Bocharov, K. K. Loginov, “Numerical simulation of dynamics of T-lymphocytes population in the lymph node”, Sib. Zh. Ind. Mat., 25:4 (2022), 136–152
Citation in format AMSBIB
\Bibitem{PerBocLog22}
\by N.~V.~Pertsev, G.~A.~Bocharov, K.~K.~Loginov
\paper Numerical simulation of dynamics of T-lymphocytes population
in the lymph node
\jour Sib. Zh. Ind. Mat.
\yr 2022
\vol 25
\issue 4
\pages 136--152
\mathnet{http://mi.mathnet.ru/sjim1201}
\crossref{https://doi.org/10.33048/SIBJIM.2021.25.411}
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    		Сибирский журнал индустриальной математики
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