Geodesic
Numerical simulation of dynamics of T-lymphocytes population
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 4, pp. 136-152

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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.
Mots-clés : CD4+ T-lymphocyte population, HIV-1 infection.
Keywords: homeostasis, lymph node, mathematical model, model correctness, computational experiment 
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     author = {N. V. Pertsev and G. A. Bocharov and K. K. Loginov},
     title = {Numerical simulation of dynamics of {T-lymphocytes} population},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {136--152},
     publisher = {mathdoc},
     volume = {25},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_4_a10/}
}
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N. V. Pertsev; G. A. Bocharov; K. K. Loginov. Numerical simulation of dynamics of T-lymphocytes population. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 4, pp. 136-152. http://geodesic.mathdoc.fr/item/SJIM_2022_25_4_a10/