Email this article Reaction–Diffusion Equations in Immunology
- Authors: Bocharov G.A.1,2, Volpert V.A.1,3,4,5, Tasevich A.L.1,6
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Affiliations:
- Peoples’ Friendship University of Russia
- Institute of Numerical Mathematics, Russian Academy of Sciences
- Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1
- INRIA Team Dracula, INRIA Lyon La Doua
- Poncelet Center, UMI 2615 CNRS
- Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Issue: Vol 58, No 12 (2018)
- Pages: 1967-1976
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180277
- DOI: https://doi.org/10.1134/S0965542518120059
- ID: 180277
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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.
About the authors
G. A. Bocharov
Peoples’ Friendship University of Russia; Institute of Numerical Mathematics, Russian Academy of Sciences
Email: atasevich@gmail.com
Russian Federation, Moscow, 117198; Moscow, 119333
V. A. Volpert
Peoples’ Friendship University of Russia; Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1; INRIA Team Dracula, INRIA Lyon La Doua; Poncelet Center, UMI 2615 CNRS
Email: atasevich@gmail.com
Russian Federation, Moscow, 117198; Villeurbanne, 69622; Villeurbanne, 69603; Moscow, 119002
A. L. Tasevich
Peoples’ Friendship University of Russia; Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
Author for correspondence.
Email: atasevich@gmail.com
Russian Federation, Moscow, 117198; Moscow, 119333
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