Reaction-Diffusion Equations in Immunology

被引：6

作者：

Bocharov, G. A. ^{[1
,2
]}

Volpert, V. A. ^{[1
,3
,4
,5
]}

Tasevich, A. L. ^{[1
,6
]}

机构：

[1] Peoples Friendship Univ Russia, Moscow 117198, Russia

[2] Russian Acad Sci, Inst Numer Math, Moscow 119333, Russia

[3] Univ Lyon 1, CNRS, Inst Camille Jordan, UMR 5208, F-69622 Villeurbanne, France

[4] INRIA Lyon Doua, INRIA Team Dracula, F-69603 Villeurbanne, France

[5] CNRS, Poncelet Ctr, UMI 2615, Moscow 119002, Russia

[6] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2018年 / 58卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

virus infection; immune response; mathematical modeling; reaction-diffusion equations; time and space dynamics; ANTIVIRAL IMMUNE-RESPONSE; DYNAMICS IN-VIVO; T-CELL RESPONSES; MATHEMATICAL-MODEL; VIRAL-INFECTION; LCMV INFECTION; HIV-INFECTION; VIRUS GROWTH; MICE;

D O I：

10.1134/S0965542518120059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1967 / 1976

页数：10

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