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Numerical Simulation of T-Lymphocyte Population Dynamics in a Lymph Node

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Abstract

A mathematical model is presented that describes the dynamics of the population of CD4 \( ^{+} \) T-lymphocytes in a single lymph node. The model is based on a high-dimensional system of nonlinear delay differential equations supplemented with initial data. The equations of the model are given, and their well-posedness is investigated. The results of computational experiments with the model illustrating the characteristic cell population dynamics under the conditions of antigen-specific stimulation of the cell reproduction process for cells of various types are presented.

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Funding

This work was supported financially by a grant from the Russian Science Foundation, project no. 18-11-00171, and with partial financial support from the Moscow Center for Fundamental and Applied Mathematics, agreement with the Ministry of Education and Science of the Russian Federation no. 075-15-2022-286.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    N. V. Pertsev & K. K. Loginov

  2. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119333, Russia

    N. V. Pertsev, G. A. Bocharov & K. K. Loginov

  3. Branch of the Moscow Center for Fundamental and Applied Mathematics at the Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, 119333, Russia

    G. A. Bocharov

Authors
  1. N. V. Pertsev
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  2. G. A. Bocharov
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  3. K. K. Loginov
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Correspondence to N. V. Pertsev, G. A. Bocharov or K. K. Loginov.

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Translated by V. Potapchouck

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Pertsev, N.V., Bocharov, G.A. & Loginov, K.K. Numerical Simulation of T-Lymphocyte Population Dynamics in a Lymph Node. J. Appl. Ind. Math. 16, 737–750 (2022). https://doi.org/10.1134/S1990478922040147

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  • DOI: https://doi.org/10.1134/S1990478922040147

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