The impact of immune cell interactions on virus quasi-species formation

The process of viral infection spreading in tissues was influenced by various factors, including virus replication within host cells, transportation, and the immune response. Reaction-diffusion systems provided a suitable framework for examining this process. In this work, we studied a nonlocal reaction-diffusion system of equations that modeled the distribution of viruses based on their genotypes and their interaction with the immune response. It was shown that the infection may persist at a certain level alongside a chronic immune response, exhibiting spatially uniform or oscillatory behavior. Finally, the immune cells may become entirely depleted, leading to a high viral load persisting in the tissue. Numerical simulations were employed to elucidate the nonlinear dynamics and pattern formation inherent in the nonlocal model. © 2024 the Author(s)

Authors
Moussaoui A. , Volpert V.
Publisher
American Institute of Mathematical Sciences
Number of issue
11
Language
English
Pages
7530-7553
Status
Published
Volume
21
Year
2024
Organizations
  • 1 Laboratoire d’Analyse Non Linéaire et Mathématiques Appliquées, Department of Mathematics, Faculty of Science, University of Tlemcen, 13000, Algeria
  • 2 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 3 Peoples’ Friendship University of Russia, RUDN University, Russian Federation
  • 4 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
genotype space; immune response; nonlocal interaction; reaction-diffusion model; virus density distribution

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