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Initiation of HIV therapy

By Charlotte Yuk-Fan Ho and Bingo Wing-Kuen Ling

Abstract

In this paper, we numerically show that the dynamics of the HIV system is sensitive to both the initial condition and the system parameters. These phenomena imply that the system is chaotic and exhibits a bifurcation behavior. To control the system, we propose to initiate an HIV therapy based on both the concentration of the HIV-1 viral load and the ratio of the CD4 lymphocyte population to the CD8 lymphocyte population. If the concentration of the HIV-1 viral load is higher than a threshold, then the first type of therapy will be applied. If the concentration of the HIV-1 viral load is lower than or equal to the threshold and the ratio of the CD4 lymphocyte population to the CD8 lymphocyte population is greater than another threshold, then the second type of therapy will be applied. Otherwise, no therapy will be applied. The advantages of the proposed control strategy are that the therapy can be stopped under certain conditions, while the state variables of the overall system is asymptotically stable with fast convergent rate, the concentration of the controlled HIV-1 viral load is monotonic decreasing, as well as the positivity constraint of the system states and that of the dose concentration is guaranteed to be satisfied. Computer numerical simulation results are presented for an illustration

Topics: H310 Dynamics
Publisher: SPIE
Year: 2010
DOI identifier: 10.1142/S0218127410026484
OAI identifier: oai:eprints.lincoln.ac.uk:2679

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Citations

  1. (1997). Anti-viral drug treatment: dynamics of resistance in free virus and infected cell populations,” doi
  2. (2005). Can HIV/AIDS be controlled? Applying control engineering concepts outside traditional fields,” doi
  3. (2004). Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay,” doi
  4. (1994). Defective escape mutants of HIV,” doi
  5. (2005). Dynamic HIV/AIDS parameter estimation with application to a vaccine readiness study in Southern Africa,” doi
  6. (1997). Dynamic multidrug therapies for HIV: a control theoretic approach,” doi
  7. (1999). Dynamics of macrophage and T cell infection by HIV,” doi
  8. (2001). Feedback control of a biodynamical model of HIV-1,” doi
  9. (2005). Franziska Michor and doi
  10. (2004). Fuzzy set-based model to compute the life expectancy of HIV infected populations,” doi
  11. (2003). Identifiability of nonlinear systems with application to HIV/AIDS models,” doi
  12. (1995). Immune responses against multiple epitopes,” doi
  13. (2004). Introducing HIV/AIDS education into the electrical engineering curriculum at the university of Pretoria,” doi
  14. (1998). Mathematical analysis of antiretroviral therapy aimed at HIV-1 eradication or maintenance of low viral loads,” doi
  15. (2005). Minimum-time thermal dose control of thermal therapies,” doi
  16. (1994). Modeling HIV infection of CD4 doi
  17. (1994). Modeling HIV infection of CD4P + doi
  18. (2000). Modeling plasma virus concentration during primary HIV infection,” doi
  19. (1999). Modeling the dynamics of doi
  20. (2004). Optimizing within-host viral fitness: infected cell lifespan and virion production rate,” doi
  21. (1995). Population dynamics of feline immunodeficiency virus within cat populations,” doi
  22. (1993). Quantitative study of the control of HIV-1 gene expression,” doi
  23. (1998). Target cell limited and immune control models of HIV infection: a compression,” doi
  24. (1994). Th1/Th2 cross regulation,” doi
  25. (1995). The evolution of virulence in sexually transmitted doi
  26. (2003). When to initiate HIV therapy: a control theoretic approach,” doi
  27. (2006). Won Hee Kim and Chung Choo Chung, “Optimized structured treatment interruption for HIV therapy and its performance analysis on controllability,” doi
  28. (2005). Zhiling Tian and Tong Heng Lee, “Nonlinear control of a dynamic model of HIV-1,”

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