Skip navigation

Piecewise virus-immune dynamic model with HIV-1 RNA-guided therapy

Piecewise virus-immune dynamic model with HIV-1 RNA-guided therapy

Tang, Biao, Xiao, Yanni, Cheke, Robert A. ORCID: 0000-0002-7437-1934 and Wang, Ning (2015) Piecewise virus-immune dynamic model with HIV-1 RNA-guided therapy. Journal of Theoretical Biology, 377. pp. 36-46. ISSN 0022-5193 (doi:

PDF (AAM, accepted 24 March 2015)
13438_CHEKE_JnlTheorBio_(Accepted_Manuscript_accepted_24March2015).pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial.

Download (590kB)


Clinical studies have used CD4 T cell counts to evaluate the safety or risk of plasma HIV-1 RNA-guided structured treatment interruptions (STIs), aimed at maintaining CD4 T cell counts above a safe level and plasma HIV-1 RNA below a certain level. However, quantifying and evaluating the impact of STIs on the control of HIV replication and on activation of the immune response remains challenging. Here we extend the virus-immune dynamic system by including a piecewise smooth function to describe the elimination of HIV viral loads and the activation of effector cells under plasma HIV-1 RNA-guided therapy, in order to quantitatively explore the STI strategies. We theoretically investigate the global dynamics of the proposed Filippov system. Our main results indicate that HIV viral loads could either go to infinity or be maintained below a certain level or stabilize at a previously given level, depending on the threshold level and initial HIV virus loads and effector cell counts. This suggests that proper combinations of threshold and initial HIV virus loads and effector cell counts, based on threshold policy, can successfully preclude exceptionally high growth of HIV virus and, in particular, maximize the controllable region.

Item Type: Article
Additional Information: [1] Acknowledgements (funding): The authors are supported by the National Megaproject of Science Research no. 2012ZX10001-001, by the National Natural Science Foundation of China (NSFC, 1171268(YX)), by the International Development Research Center, Ottawa, Canada (104519-010).
Uncontrolled Keywords: structured treatment interruptions, Filippov system, sliding mode, pseudo-equilibrium
Subjects: Q Science > Q Science (General)
Q Science > QR Microbiology
Faculty / School / Research Centre / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > Natural Resources Institute
Related URLs:
Last Modified: 05 May 2016 18:14

Actions (login required)

View Item View Item


Downloads per month over past year

View more statistics