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Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection.
- Source :
- Russian Journal of Numerical Analysis & Mathematical Modelling; Oct2021, Vol. 36 Issue 5, p293-302, 10p
- Publication Year :
- 2021
-
Abstract
- The paper is focused on stochastic modelling of the process of transition of infected cells and virions of HIV-1 infection between two lymph nodes. The model is based on the following assumptions: (1) the duration of transition of infected cells and virions between two lymph nodes is set using a time-dependent function, (2) infected cells produce virions in the process of transition between two lymph nodes, (3) infected cells and virions may die when moving between two lymph nodes. The methods of the theory of branching random processes are used to study analytically the model variables. An algorithm for statistical modelling of the number of infected cells and virions in the second lymph node is presented. The results of computational experiments studying the distribution law of the number of virions produced by one infected cell depending on the duration of movement between two lymph nodes are presented. [ABSTRACT FROM AUTHOR]
- Subjects :
- LYMPH nodes
STOCHASTIC models
BRANCHING processes
HIV
STOCHASTIC processes
Subjects
Details
- Language :
- English
- ISSN :
- 09276467
- Volume :
- 36
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Russian Journal of Numerical Analysis & Mathematical Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 154830597
- Full Text :
- https://doi.org/10.1515/rnam-2021-0024