IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v322y2003icp506-520.html
   My bibliography  Save this article

Dynamics of HIV infection on 2D cellular automata

Author

Listed:
  • Benyoussef, A
  • HafidAllah, N.El
  • ElKenz, A
  • Ez-Zahraouy, H
  • Loulidi, M

Abstract

We use a cellular automata approach to describe the interactions of the immune system with the human immunodeficiency virus (HIV). We study the evolution of HIV infection, particularly in the clinical latency period. The results we have obtained show the existence of four different behaviours in the plane of death rate of virus–death rate of infected T cell. These regions meet at a critical point, where the virus density and the infected T cell density remain invariant during the evolution of disease. We have introduced two kinds of treatments, the protease inhibitors and the RT inhibitors, in order to study their effects on the evolution of HIV infection. These treatments are powerful in decreasing the density of the virus in the blood and the delay of the AIDS onset.

Suggested Citation

  • Benyoussef, A & HafidAllah, N.El & ElKenz, A & Ez-Zahraouy, H & Loulidi, M, 2003. "Dynamics of HIV infection on 2D cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 506-520.
    • Handle: RePEc:eee:phsmap:v:322:y:2003:i:c:p:506-520
    DOI: 10.1016/S0378-4371(02)01915-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102019155
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(02)01915-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. González, Ramón E.R. & Figueirêdo, P.H. & Coutinho, S., 2020. "Dynamics of HIV Infection: An entropic–energetic view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    2. Mukwembi, Simon, 2008. "A note on the effects of replenishment of depleted cells on HIV infection dynamics: A graph-theoretic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1200-1204.
    3. González, Ramón E.R. & Coutinho, Sérgio & Zorzenon dos Santos, Rita Maria & de Figueirêdo, Pedro Hugo, 2013. "Dynamics of the HIV infection under antiretroviral therapy: A cellular automata approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4701-4716.
    4. González, Ramón E.R. & de Figueirêdo, Pedro Hugo & Coutinho, Sérgio, 2013. "Cellular automata approach for the dynamics of HIV infection under antiretroviral therapies: The role of the virus diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4717-4725.
    5. Huiyu Xuan & Lida Xu & Lu Li, 2009. "A CA-based epidemic model for HIV/AIDS transmission with heterogeneity," Annals of Operations Research, Springer, vol. 168(1), pages 81-99, April.
    6. Pan, Qiuhui & Liu, Rui & He, Mingfeng, 2014. "An epidemic model based on individuals with movement characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 157-162.
    7. Precharattana, Monamorn & Triampo, Wannapong, 2014. "Modeling dynamics of HIV infected cells using stochastic cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 303-311.

    More about this item

    Keywords

    HIV infection; Cellular automata;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:322:y:2003:i:c:p:506-520. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.