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Dynamics of HIV infection on 2D cellular automata

Author

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  • 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
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    Cited by:

    1. 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.
    2. 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).
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    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.

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    Keywords

    HIV infection; Cellular automata;

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