Initiation of HIV therapy

Ho, Charlotte Yuk-Fan and Ling, Bingo Wing-Kuen (2010) Initiation of HIV therapy. International Journal of Bifurcation and Chaos, 20 (4). pp. 1279-1292. ISSN 0218-1274

Documents
Initiation_of_HIV_Therapy.pdf
[img]
[Download]
[img]
Preview
PDF
Initiation_of_HIV_Therapy.pdf - Whole Document

3MB

Official URL: http://dx/doi.org/10.1142/S0218127410026484

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.

Item Type:Article
Additional Information: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.
Keywords:HIV Therapy, dynamics of the HIV system, bifurcation behaviour, initiate HIV therapy
Subjects:H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:2679
Deposited By: Rosaline Smith
Deposited On:11 Jun 2010 19:36
Last Modified:13 Mar 2013 08:39

Repository Staff Only: item control page