Viral Infection Spreading in Cell Culture with Intracellular Regulation

Nikolay Bessonov (1) , Gennady Bocharov (2) , Anastasiia Mozokhina (3) , Vitaly Volpert (4, 5)

1 IPME RAS - Institute for Problems of Mechanical Engineering
2 INM-RAS - Institute of Numerical Mathematics [Moscou]
3 People's Friendship University of Russia [Moscow]
4 ICJ - Institut Camille Jordan
5 MMCS - Modélisation mathématique, calcul scientifique

Virus plaque assays are conventionally used for the assessment of viral infections, including their virulence, and vaccine efficacy. These experiments can be modeled with reaction-diffusion equations, allowing the estimation of the speed of infection spread (related to virus virulence) and viral load (related to virus infectivity). In this work, we develop a multiscale model of infection progression that combines macroscopic characterization of virus plaque growth in cell culture with a reference model of intracellular virus replication. We determine the infection spreading speed and viral load in a model for the extracellular dynamics and the kinetics of the abundance of intracellular viral genomes and proteins. In particular, the spatial infection spreading speed increases if the rate of virus entry into the target cell increases, while the viral load can either increase or decrease depending on other model parameters. The reduction in the model under a quasi-steady state assumption for some intracellular reactions allows us to derive a family of reduced models and to compare the reference model with the previous model for the concentration of uninfected cells, infected cells, and total virus concentration. Overall, the combination of different scales in reaction-diffusion models opens up new perspectives on virus plaque growth models and their applications.

Mots clés: viral infection; plaque growth; reaction-diffusion equations; wave speed; viral load

Domaines: Mathématiques [math]

Nikolay Bessonov, Gennady Bocharov, Anastasiia Mozokhina, Vitaly Volpert. Viral Infection Spreading in Cell Culture with Intracellular Regulation. Mathematics , 2023, 11, ⟨10.3390/math11061526⟩. ⟨hal-04242502⟩