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Direct Statistical Modeling of HIV-1 Infection Based on a Non-Markovian Stochastic Model Научная публикация

Журнал Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662
Вых. Данные Год: 2021, Том: 61, Номер: 8, Страницы: 1229-1251 Страниц : 23 DOI: 10.1134/S0965542521060026
Ключевые слова branching process; delay differential equations; eradication of HIV-1; Monte Carlo method; non-Markov model of HIV-1 infection; numerical experiment
Авторы Bocharov G.A. 1,2 , Loginov K.K. 3 , Pertsev N.V. 2,3 , Topchii V.A. 3
Организации
1 Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119333, Russian Federation
2 Moscow Center for Fundamental and Applied Mathematics, Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119333, Russian Federation
3 Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation

Информация о финансировании (2)

1 Институт математики им. С.Л. Соболева СО РАН 0314-2019-0009
2 Российский научный фонд 18-11-00171

Реферат: Abstract: An approach to the numerical modeling of the dynamics of HIV-1 infection based on a non-Markovian stochastic model is presented. In the model, the population dynamics of cells and viral particles are described taking into account the prehistory of their development and transitions between two compartments. An algorithm for direct statistical modeling of the dynamics of the studied populations is developed. Results obtained by studying special cases of the constructed model, including its deterministic analogue, and published clinical data are used for specifying the details of numerical experiments. The eradication probability of HIV-1 infection and the dynamics of typical realizations of population sizes are examined in relation to the initial number of virus particles and parameters of the model. © 2021, Pleiades Publishing, Ltd.
Библиографическая ссылка: Bocharov G.A. , Loginov K.K. , Pertsev N.V. , Topchii V.A.
Direct Statistical Modeling of HIV-1 Infection Based on a Non-Markovian Stochastic Model
Computational Mathematics and Mathematical Physics. 2021. V.61. N8. P.1229-1251. DOI: 10.1134/S0965542521060026 WOS Scopus OpenAlex
Оригинальная: Бочаров Г.А. , Логинов К.К. , Перцев Н.В. , Топчий В.А.
ПРЯМОЕ СТАТИСТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ДИНАМИКИ ВИЧ-1 ИНФЕКЦИИ НА ОСНОВЕ НЕМАРКОВСКОЙ СТОХАСТИЧЕСКОЙ МОДЕЛИ
Журнал вычислительной математики и математической физики. 2021. Т.61. №8. С.1245-1268. DOI: 10.31857/S0044466921060028 OpenAlex
Идентификаторы БД:
Web of science: WOS:000697201600002
Scopus: 2-s2.0-85115191185
OpenAlex: W3199585946
Цитирование в БД:
БД Цитирований
Scopus 4
OpenAlex 3
Web of science 2
Альметрики: