Reaction–diffusion equations in immunology

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. © Pleiades Publishing, Ltd., 2018.

Authors
Bocharov G.A. 1, 2 , Volpert V.A. 1, 3, 4, 5 , Tasevich A.L. 1, 6
Journal
Computational Mathematics and Mathematical Physics
Number of issue
12
Language
English
Pages
1967-1976
Status
Published
Link
External link
DOI
10.1134/S0965542518120059
Volume
58
Year
2018
Organizations
  • 1 Peoples’ Friendship, University of Russia, Moscow, 117198, Russian Federation
  • 2 Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119333, Russian Federation
  • 3 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 4 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
  • 5 Poncelet Center, UMI 2615 CNRS, Moscow, 119002, Russian Federation
  • 6 Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, 119333, Russian Federation
Keywords
Diffusion equations; Immune response; Mathematical modeling; Reaction; Time and space dynamics; Virus infection
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