Skip to main content

Advertisement

SpringerLink
Log in

Exploring the conserved quantity of viral infection model with periodical cell removal

  • Original Paper
  • Area 3
  • Published:
Japan Journal of Industrial and Applied Mathematics Aims and scope Submit manuscript

Abstract

We have previously reported the existence of a conserved quantity in a basic mathematical model of viral infection, and confirmed it in cell culture. For simplicity, the basic model is described by sets of ordinary differential equations. Here, we constructed a mathematical model of viral infection explicitly considering the periodical removal of cells and virus for experimental sampling. Besides, we derived a conservation law for this model. Using time-course experimental datasets of viral infection, we investigated whether this law holds which is derived by the punctual model in cell culture.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Nowak, M., May, R.M.: Virus Dynamics: Mathematical Principles of Immunology and Virology: Mathematical Principles of Immunology and Virology. Oxford university press. (2000)

  2. Perelson, A.S.: Modelling viral and immune system dynamics. Nat Rev Immunol. 2, 28–36 (2000)

    Article  Google Scholar 

  3. Kakizoe, Y., Morita, S., Nakaoka, S., Takeuchi, Y., Sato, K., Miura, T., Beauchemin, C.A., Iwami, S.: A conservation law for virus infection kinetics in vitoro. J Theor Biol. 376, 39–47 (2015)

    Article  MathSciNet  Google Scholar 

  4. Kozyrev, I.L., Ibuki, K., Shimada, T., Kuwata, T., Takemura, T., Hayami, M., Miura, T.: Characterization of less pathogenic infectious molecular clones derived from acute-pathogenic SHIV-89.6p stock virus. Virology. 282, 6–13 (2001)

    Article  Google Scholar 

  5. Iwami, S., Sato, K., De Boer, R.J., Aihara, K., Miura, T., Koyanagi, Y.: Identifying viral parameters from in vitro cell cultures. Front Microbiol. 3, 319 (2012)

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported in part by JST CREST program (to S.IJST PRESTO program (to S.I.), the Japan Agency for Medical Research and Development, AMED (H27-ShinkoJitsuyoka-General-016) (to S.I.), and the Japan Society for the Promotion of Science (JSPS) KAKENHI (Grant Number 26287025; to S.I.).

Author information

Authors and Affiliations

  1. Department of Biology, Kyushu University, Fukuoka, Japan

    Yusuke Kakizoe & Shingo Iwami

  2. CREST, JST, Saitama, Japan

    Shingo Iwami

  3. PRESTO, JST, Saitama, Japan

    Shingo Iwami

Authors
  1. Yusuke Kakizoe
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shingo Iwami
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yusuke Kakizoe.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kakizoe, Y., Iwami, S. Exploring the conserved quantity of viral infection model with periodical cell removal. Japan J. Indust. Appl. Math. 32, 749–757 (2015). https://doi.org/10.1007/s13160-015-0187-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13160-015-0187-3

Keywords

Mathematics Subject Classification

Search

Navigation