Skip to main content
SpringerLink
Log in

A stochastic model of initial HIV infection on lattice spaces

  • Original Article
  • Published:
Artificial Life and Robotics Aims and scope Submit manuscript

Abstract

A stochastic model based on the Nowak-May model for interaction between the human immunodeficiency virus (HIV) and the immune system is presented. From simulations with the stochastic model expressed on lattice spaces, an antigenic diversity threshold for HIV is shown. Mutation of HIV causes the antigenic diversity threshold to decline. However, most of the behavior in this stochastic model strongly depends on intial conditions.

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.

Similar content being viewed by others

References

  1. Mclean AR (1993) The balance of power between HIV and the immune system. Trends Microbiol 1:9–13

    Article  Google Scholar 

  2. de Boer RJ, Boerlust MC (1993) Diversity and virulence thresholds in AIDS. Appl Math 94:544–548

    Google Scholar 

  3. Nowak MA, Anderson RM, McLean AR, et al. (1991) Antigenic diversity thresholds and the development of AIDS. Science 254:963–969

    Article  Google Scholar 

  4. Nowak MA, May RM (1991) Mathematical biology of hiv infections: antigenic variation and diversity thresholds. Math Biosci 106:1–21

    Article  MATH  Google Scholar 

  5. Nowak MA, McMichael AJ (1995) How hiv defeats the immune system. Sci Am pp 58–65, August 1995

  6. Ueda H, Ishida Y (2000) Stability on Nowak-May model of the interaction between HIV and T-Cell CD4+. Technical Report NLP2000, IEICE, 5:13–18

    Google Scholar 

  7. Ishida Y (1999) Note on diversity threshold in Nowak-May model of the interactioon between HIV and T-Cell CD4+. Technical Report Proc. of JAMB 1999

  8. Stilianakis NI, Schenzle D, Dietz K (1994) On the antigenic diversity threshold model for AIDS. Math Biosci 121:235–247

    Article  MATH  Google Scholar 

  9. Anderson RM, May RM (1986) The invasion, persistence and spread of infectious diseases within animal and plant communities. Philos T Roy Soc B 314:533–570

    Article  Google Scholar 

  10. Pękalski A (1998) A model of population dynamics. Physica A 252:325–335

    Article  Google Scholar 

  11. Lipowski A, Lipowska D (2000) Nonequilibrium phase transition in a lattice prey-predator system. Physica A 276:456–464

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Knowledge-based Information Engineering, Toyohashi University of Technology, Hibarigaoka 1-1, Tempaku, 441-8580, Toyohashi, Aichi, Japan

    Hiroshi Ueda & Yoshiteru Ishida

Authors
  1. Hiroshi Ueda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yoshiteru Ishida
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hiroshi Ueda.

About this article

Cite this article

Ueda, H., Ishida, Y. A stochastic model of initial HIV infection on lattice spaces. Artificial Life and Robotics 7, 185–188 (2004). https://doi.org/10.1007/BF02471204

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02471204

Key words

Search

Navigation