The Interferon Influence on the Infection Wave Propagation

  • Conference paper
  • First Online:
Extended Abstracts 2021/2022 (GMC 2021)

Part of the book series: Trends in Mathematics ((RPGAPC,volume 3))

Included in the following conference series:

  • 124 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. 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

  2. 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

    Article  MathSciNet  Google Scholar 

  3. 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

    Article  MathSciNet  Google Scholar 

  4. 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

    Article  MathSciNet  Google Scholar 

  5. V. Fensterl, G.C. Sen, Interferons and viral infections. BioFactors 35(1), 14–20 (2009). https://doi.org/10.1002/biof.6

    Article  Google Scholar 

  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

    Article  Google Scholar 

  7. 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

  8. Swiss Institute of Bioinformatics, Antiviral state inhibition. Online, Accessed 24 Apr 2023, https://viralzone.expasy.org/1580

Download references

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

Authors

Corresponding author

Correspondence to V. Volpert .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

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

Publish with us

Policies and ethics

Navigation