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Viral Infection Spreading and Mutation in Cell Culture

Author

Listed:
  • 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)

  • Bogdan Kazmierczak

    (Institute of Fundamental Technological Research Polish Academy of Sciences, 02-106 Warsaw, Poland)

  • Vitaly Volpert

    (Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
    INRIA Team Dracula, INRIA Lyon La Doua, 69603 Villeurbanne, France
    S.M. Nikolskii Mathematical Institute, Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., 117198 Moscow, Russia)

Abstract

A new model of viral infection spreading in cell cultures is proposed taking into account virus mutation. This model represents a reaction-diffusion system of equations with time delay for the concentrations of uninfected cells, infected cells and viral load. Infection progression is characterized by the virus replication number R v , which determines the total viral load. Analytical formulas for the speed of propagation and for the viral load are obtained and confirmed by numerical simulations. It is shown that virus mutation leads to the emergence of a new virus variant. Conditions of the coexistence of the two variants or competitive exclusion of one of them are found, and different stages of infection progression are identified.

Suggested Citation

  • Latifa Ait Mahiout & Bogdan Kazmierczak & Vitaly Volpert, 2022. "Viral Infection Spreading and Mutation in Cell Culture," Mathematics, MDPI, vol. 10(2), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:256-:d:725059
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    References listed on IDEAS

    as
    1. Benjamin P Holder & Philippe Simon & Laura E Liao & Yacine Abed & Xavier Bouhy & Catherine A A Beauchemin & Guy Boivin, 2011. "Assessing the In Vitro Fitness of an Oseltamivir-Resistant Seasonal A/H1N1 Influenza Strain Using a Mathematical Model," PLOS ONE, Public Library of Science, vol. 6(3), pages 1-11, March.
    2. Ignacio A Rodriguez-Brenes & Andrew Hofacre & Hung Fan & Dominik Wodarz, 2017. "Complex Dynamics of Virus Spread from Low Infection Multiplicities: Implications for the Spread of Oncolytic Viruses," PLOS Computational Biology, Public Library of Science, vol. 13(1), pages 1-19, January.
    3. Maciej Czerkies & Zbigniew Korwek & Wiktor Prus & Marek Kochańczyk & Joanna Jaruszewicz-Błońska & Karolina Tudelska & Sławomir Błoński & Marek Kimmel & Allan R. Brasier & Tomasz Lipniacki, 2018. "Cell fate in antiviral response arises in the crosstalk of IRF, NF-κB and JAK/STAT pathways," Nature Communications, Nature, vol. 9(1), pages 1-14, December.
    Full references (including those not matched with items on IDEAS)

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