Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection Full article
| Journal |
Russian Journal of Numerical Analysis and Mathematical Modelling
ISSN: 0927-6467 , E-ISSN: 1569-3988 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2021, Volume: 36, Number: 5, Pages: 293-302 Pages count : 10 DOI: 10.1515/rnam-2021-0024 | ||||
| Tags | branching random process; computational experiment; Continuous-discrete stochastic model; HIV-1 infection; lymphatic system; Monte Carlo method; viral particles | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (2)
| 1 | Russian Science Foundation | 18-71-10028 |
| 2 | Russian Science Foundation | 18-11-00171 |
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.
Cite:
Pertsev N.V.
, Topchii V.A.
, Loginov K.K.
Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection
Russian Journal of Numerical Analysis and Mathematical Modelling. 2021. V.36. N5. P.293-302. DOI: 10.1515/rnam-2021-0024 WOS Scopus OpenAlex
Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection
Russian Journal of Numerical Analysis and Mathematical Modelling. 2021. V.36. N5. P.293-302. DOI: 10.1515/rnam-2021-0024 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000718351400004 |
| Scopus: | 2-s2.0-85120046107 |
| OpenAlex: | W3212347808 |