Abstract
Viral infection spreads in the infected tissue or in cell culture as a reaction-diffusion wave due to virus replication in the infected cells and its transport between the cells. The speed of wave propagation correlates with the virus virulence and the severity of the disease, while the total viral load with its infectivity, that is, the rate of transmission from infected to uninfected individuals. The first barrier to the progression of viral infection after its penetration into the organism is provided by the innate immune response mediated mainly by immune cells and interferon. The effectiveness of this response determines whether infection progression in the organism will be stopped at this stage or it will further develop stimulating the adaptive immune response. The interferon mediated immune response down-regulates virus penetration in the host cells and its replication inside the cells. In this work, we consider the interferon influence on the infection spreading in the tissue, and on virus infectivity and virulence.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
L. Ait Mahiout, B. Kazmierczak, V. Volpert, Viral infection spreading and mutation in cell culture. Mathematics 10(2), 256 (2022). https://doi.org/10.3390/math10020256
L. Ait Mahiout et al., The influence of immune response on spreading of viral infection. Lobachevskii J. Math. 43(10), 2699–2713 (2022). https://doi.org/10.1134/s1995080222130285
L. Ait Mahiout et al., Virus replication and competition in a cell culture: application to the SARS-CoV-2 variants. Appl. Math. Lett. 133, 108217 (2022). https://doi.org/10.1016/j.aml.2022.108217
L. Ait Mahiout et al., Infection spreading in cell culture as a reaction-diffusion wave. ESAIM: Math. Model. Numer. Anal. 56(3), 791–814 (2022). https://doi.org/10.1051/m2an/2022019
V. Fensterl, G.C. Sen, Interferons and viral infections. BioFactors 35(1), 14–20 (2009). https://doi.org/10.1002/biof.6
M.G. Katze, Y. He, M. Gale, Viruses and interferon: a fight for supremacy. Nature Rev. Immunol. 2(9), 675–687 (2002). https://doi.org/10.1038/nri888
J. Shim et al., Influenza virus infection, interferon response, viral counter-response, and apoptosis. Viruses 9(8), 223 (2017). https://doi.org/10.3390/v9080223
Swiss Institute of Bioinformatics, Antiviral state inhibition. Online, Accessed 24 Apr 2023, https://viralzone.expasy.org/1580
Acknowledgements
This work is supported by the Ministry of Science and Higher Education of the Russian Federation (project number FSSF-2023-0016).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Mozokhina, A., Volpert, V. (2024). The Interferon Influence on the Infection Wave Propagation. In: Cardona, D., Restrepo, J., Ruzhansky, M. (eds) Extended Abstracts 2021/2022. GMC 2021. Trends in Mathematics(), vol 3. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-48579-4_26
Download citation
DOI: https://doi.org/10.1007/978-3-031-48579-4_26
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-031-48578-7
Online ISBN: 978-3-031-48579-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)