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http://elar.urfu.ru/handle/10995/90481
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 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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10.3390-math8010117.pdf | 2,33 MB | Adobe PDF | Просмотреть/Открыть |
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