Nonlocal reaction-diffusion model of viral evolution: Emergence of virus strains

This work is devoted to the investigation of virus quasi-species evolution and diversification due to mutations, competition for host cells, and cross-reactive immune responses. The model consists of a nonlocal reaction-diffusion equation for the virus density depending on the genotype considered to be a continuous variable and on time. This equation contains two integral terms corresponding to the nonlocal effects of virus interaction with host cells and with immune cells. In the model, a virus strain is represented by a localized solution concentrated around some given genotype. Emergence of new strains corresponds to a periodic wave propagating in the space of genotypes. The conditions of appearance of such waves and their dynamics are described. © 2020 by the authors.

Authors
Bessonov N.1 , Bocharov G. 2, 3 , Meyerhans A.2, 4, 5 , Popov V. 6 , Volpert V. 2, 6, 7, 8
Journal
Publisher
MDPI AG
Number of issue
1
Language
English
Status
Published
Number
117
Volume
8
Year
2020
Organizations
  • 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, 199333, Russian Federation
  • 3 Key Center of Excellence on Experimental immunophysiology and immunochemistry, Ural Federal University, Ekaterinburg, 620002, Russian Federation
  • 4 Institució Catalana de Recerca i Estudis Avançats (ICREA), Pg. Lluis Companys 23, Barcelona, 08003, Spain
  • 5 Infection Biology Laboratory, Universitat Pompeu Fabra, Barcelona, 08003, Spain
  • 6 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 7 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 8 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
Keywords
Genotype; Immune response; Nonlocal interaction; Quasi-species diversification; Resistance to treatment; Virus density distribution; Virus infection
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/65687/
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