Interplay between reaction and diffusion processes in governing the dynamics of virus infections

Spreading of viral infection in the tissues such as lymph nodes or spleen depends on virus multiplication in the host cells, their transport and on the immune response. Reaction-diffusion systems of equations with delays in cell proliferation and death by apoptosis represent an appropriate model to study this process. The properties of the cells of the immune system and the initial viral load determine the spatiotemporal regimes of infection spreading. Infection can be completely eliminated or it can persist at some level together with a certain chronic immune response in a spatially uniform or oscillatory mode. Finally, the immune cells can be completely exhausted leading to a high viral load persistence in the tissue. It has been found experimentally, that virus proteins can affect the immune cell migration. Our study shows that both the motility of immune cells and the virus infection spreading represented by the diffusion rate coefficients are relevant control parameters determining the fate of virus-host interaction. © 2018 Elsevier Ltd

Bocharov G. 1, 2, 3 , Meyerhans A.4, 5 , Bessonov N.6 , Trofimchuk S.7 , Volpert V. 2, 8, 9, 10
Academic Press
  • 1 Institute of Numerical Mathematics, Russian Academy of Sciences, Gubkina Street, Moscow 8, 119333, Russian Federation
  • 2 Peoples Friendship University of Russia (RUDN University), Miklukho-Maklaya St, Moscow 6, 117198, Russian Federation
  • 3 Gamaleya Center of Epidemiology and MicrobiologyMoscow, Russian Federation
  • 4 Infection Biology Laboratory, Department of Experimental and Health Sciences Universitat Pompeu FabraBarcelona, Spain
  • 5 ICREA, Pg. Llus Companys 23, Barcelona, 08010, Spain
  • 6 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences 199178 Saint Petersburg, Russian Federation
  • 7 Instituto de Matematica y Fisica, Universidad de Talca, Casilla, Talca 747, Chile
  • 8 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 9 INRIA, Université de Lyon, Université Lyon 1, Institut Camille Jordan 43 Bd. du 11 Novembre 1918, Villeurbanne Cedex, 69200, France
  • 10 Poncelet Center, UMI 2615 CNRS, 11 Bolshoy Vlasyevskiy, Moscow, 119002, Russian Federation
Ключевые слова
Delay reaction-diffusion model; Immune response; Infection spreading; Regimes of propagation; Spatiotemporal dynamics; Tissue; Virus infection
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