Viral Infection Spreading and Mutation in Cell Culture

Latifa Ait Mahiout, Bogdan Kazmierczak and Vitaly Volpert
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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

Mathematics, 2022, vol. 10, issue 2, 1-15

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.

Keywords: viral infection; mutation; cell culture; reaction-diffusion equations; time delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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