RUS  ENG
Full version
JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2022 Volume 25, Number 4, Pages 136–152 (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

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.

UDC: 517.929:57

Received: 06.06.2022
Revised: 20.06.2022
Accepted: 22.06.2022

DOI: 10.33048/SIBJIM.2021.25.411



© Steklov Math. Inst. of RAS, 2024