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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 12, Pages 2048–2059
DOI: https://doi.org/10.31857/S004446690003551-7 (Mi zvmmf10804) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Reaction-diffusion equations in immunology

A. L. Tasevichab, G. A. Bocharovcdea, V. A. Volpertfa

a Peoples' Friendship University of Russia, Moscow, Russia
b Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia
c Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, France
d Poncelet Center, UMI 2615 CNRS, Moscow, Russia
e INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, France
f Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
Citations (6)
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DOI: https://doi.org/10.31857/S004446690003551-7
Abstract: The paper is devoted to the recent works on reaction-diffusion models of virus infection dynamics in human and animal organisms. Various regimes of infection propagation in tissues are described. In particular, it is shown that infection can spread in tissues of organs as a reaction-diffusion wave. Methods for studying the conditions of the existence of wave modes of the time and space dynamics of infections is discussed.
Key words: virus infection, immune response, mathematical modeling, reaction-diffusion equations, time and space dynamics.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00636_а
Ministry of Education and Science of the Russian Federation
Received: 20.06.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 12, Pages 1967–1976
DOI: https://doi.org/10.1134/S0965542518120059
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.958
Language: Russian
Citation: A. L. Tasevich, G. A. Bocharov, V. A. Volpert, “Reaction-diffusion equations in immunology”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 2048–2059; Comput. Math. Math. Phys., 58:12 (2018), 1967–1976
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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