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Modeling of Viral Infection with Inflammation

Author

Listed:
  • Anastasia Mozokhina

    (S.M. Nikolskii Mathematical Institute, Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya St, Moscow 117198, Russia)

  • Latifa Ait Mahiout

    (Laboratoire D’équations aux Dérivées Partielles non Linéaires et Histoire des Mathématiques, Ecole Normale Supérieure, B.P. 92, Vieux Kouba, Algiers 16050, Algeria)

  • Vitaly Volpert

    (S.M. Nikolskii Mathematical Institute, Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya St, Moscow 117198, Russia
    Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France)

Abstract

Viral infection spreads in cell culture or tissue as a reaction–diffusion wave. It is characterized by three main parameters: virus replication number, R v , 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 R v , 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.

Suggested Citation

  • Anastasia Mozokhina & Latifa Ait Mahiout & Vitaly Volpert, 2023. "Modeling of Viral Infection with Inflammation," Mathematics, MDPI, vol. 11(19), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4095-:d:1249301
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    References listed on IDEAS

    as
    1. Nikolay Bessonov & Gennady Bocharov & Anastasiia Mozokhina & Vitaly Volpert, 2023. "Viral Infection Spreading in Cell Culture with Intracellular Regulation," Mathematics, MDPI, vol. 11(6), pages 1-23, March.
    2. Ruslan Medzhitov, 2007. "Recognition of microorganisms and activation of the immune response," Nature, Nature, vol. 449(7164), pages 819-826, October.
    3. Dmitry Grebennikov & Antonina Karsonova & Marina Loguinova & Valentina Casella & Andreas Meyerhans & Gennady Bocharov, 2022. "Predicting the Kinetic Coordination of Immune Response Dynamics in SARS-CoV-2 Infection: Implications for Disease Pathogenesis," Mathematics, MDPI, vol. 10(17), pages 1-27, September.
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