Partner: Nikolai Bessonov |
Ostatnie publikacje
1. | Mahiout Latifa A.♦, Bessonov N.♦, Kaźmierczak B., Sadaka G.♦, Volpert V.♦, Infection spreading in cell culture as a reaction-diffusion wave, ESAIM: Mathematical Modelling and Numerical Analysis, ISSN: 0764-583X, DOI: 10.1051/m2an/2022019, Vol.56, No.3, pp.791-814, 2022 Streszczenie: Infection spreading in cell culture occurs due to virus replication in infected cells and its random motion in the extracellular space. Multiplicity of infection experiments in cell cultures are conventionally used for the characterization of viral infection by the number of viral plaques and the rate of their growth. We describe this process with a delay reaction-diffusion system of equations for the concentrations of uninfected cells, infected cells, virus, and interferon. Time delay corresponds to the duration of viral replication inside infected cells. We show that infection propagates in cell culture as a reaction-diffusion wave, we determine the wave speed and prove its existence. Next, we carry out numerical simulations and identify three stages of infection progression: infection decay during time delay due to virus replication, explosive growth of viral load when infected cells begin to reproduce it, and finally, wave-like infection progression in cell culture characterized by a constant or slowly Słowa kluczowe: Viral infection,cell culture,reaction-diffusion equations,time delay Afiliacje autorów:
| 140p. |