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Название: Nonlocal reaction-diffusion model of viral evolution: Emergence of virus strains
Авторы: Bessonov, N.
Bocharov, G.
Meyerhans, A.
Popov, V.
Volpert, V.
Дата публикации: 2020
Издатель: MDPI AG
Библиографическое описание: Nonlocal reaction-diffusion model of viral evolution: Emergence of virus strains / N. Bessonov, G. Bocharov, A. Meyerhans, V. Popov, et al. . — DOI 10.3390/math8010117 // Mathematics. — 2020. — Vol. 1. — Iss. 8. — 117.
Аннотация: 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.
Ключевые слова: GENOTYPE
IMMUNE RESPONSE
NONLOCAL INTERACTION
QUASI-SPECIES DIVERSIFICATION
RESISTANCE TO TREATMENT
VIRUS DENSITY DISTRIBUTION
VIRUS INFECTION
URI: http://elar.urfu.ru/handle/10995/90481
Условия доступа: info:eu-repo/semantics/openAccess
cc-by
Идентификатор SCOPUS: 85080130218
Идентификатор WOS: 000515730100021
Идентификатор PURE: 12217729
ISSN: 2227-7390
DOI: 10.3390/math8010117
Сведения о поддержке: Ministry of Economy, Trade and Industry, METI
Russian Science Foundation, RSF: 18-11-00171
European Regional Development Fund, FEDER
Acknowledgments: The research was funded by the Russian Science Foundation (Grant no. 18-11-00171) to N.B., G.B. A.M. and V.V. V.P. and V.V. were partially supported by the “RUDN University Program 5-100”. A.M. was also supported by a grant from the Spanish Ministry of Economy, Industry and Competitiveness and FEDER grant no. SAF2016-75505-R (AEI/MINEICO/FEDER, UE) and the “Maria de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0370).
Карточка проекта РНФ: 18-11-00171
Располагается в коллекциях:Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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