Modeling of Viral Infection with Inflammation

Viral infection spreads in cell culture or tissue as a reaction–diffusion wave. It is characterized by three main parameters: virus replication number, Rv, which determines whether infection progresses, wave speed, c, which correlates with the virus virulence, and viral load, J(v), which determines the infection transmission rate. In this work, we study how the inflammation triggered by viral infection influences its progression. We obtain analytical expressions for Rv,c, and J(v) and show how they depend on the intensity of inflammation characterized by one or two parameters. Analytical and numerical results show that inflammation decreases the viral replication number, virus virulence, and infectivity, though there are different cases depending on the parameters of the model.

Authors
Mozokhina Anastasia 1 , Ait Mahiout Latifa2 , Volpert Vitaly 1, 3
Journal
Publisher
MDPI AG
Number of issue
19
Language
English
Pages
4095
Status
Published
Volume
11
Year
2023
Organizations
  • 1 S.M. Nikolskii Mathematical Institute, Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya St, Moscow 117198, Russia
  • 2 Laboratoire D’équations aux Dérivées Partielles non Linéaires et Histoire des Mathématiques, Ecole Normale Supérieure, B.P. 92, Vieux Kouba, Algiers 16050, Algeria
  • 3 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
Keywords
viral infection; reaction–diffusion equations; wave propagation; inflammation
Share

Other records