Space and Genotype-Dependent Virus Distribution during Infection Progression

The paper is devoted to a nonlocal reaction-diffusion equation describing the development of viral infection in tissue, taking into account virus distribution in the space of genotypes, the antiviral immune response, and natural genotype-dependent virus death. It is shown that infection propagates as a reaction-diffusion wave. In some particular cases, the 2D problem can be reduced to a 1D problem by separation of variables, allowing for proof of wave existence and stability. In general, this reduction provides an approximation of the 2D problem by a 1D problem. The analysis of the reduced problem allows us to determine how viral load and virulence depend on genotype distribution, the strength of the immune response, and the level of immunity. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Авторы
Bessonov N.1, 2 , Bocharov G. 2, 3, 4 , Volpert V. 2, 5, 6, 7
Журнал
Издательство
MDPI AG
Номер выпуска
1
Язык
Английский
Статус
Опубликовано
Номер
96
Том
10
Год
2022
Организации
  • 1 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation
  • 2 Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119333, Russian Federation
  • 3 Moscow Center of Fundamental and Applied Mathematics at INM RAS, Moscow, 119333, Russian Federation
  • 4 Institute of Computer Science and Mathematical Modelling, Sechenov First Moscow State Medical University, Moscow, 119991, Russian Federation
  • 5 Institut Camille Jordan, UMR 5208 CNRS, University, Lyon 1, Villeurbanne, 69622, France
  • 6 INRIA Team Dracula, INRIA, Lyon La Doua, Villeurbanne, 69603, France
  • 7 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., Moscow, 117198, Russian Federation
Ключевые слова
Genotype; Infection progression; Nonlocal interaction; Virus density distribution; Wave propagation
Дата создания
06.07.2022
Дата изменения
01.08.2022
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/84320/
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