SONG Bao-jun, LOU Jie, WEN Qing-zhi. Modelling Two Different Therapy Strategies for Drug T-20 on HIV-1 Patients[J]. Applied Mathematics and Mechanics, 2011, 32(4): 400-416. doi: 10.3879/j.issn.1000-0887.2011.04.004
Citation: SONG Bao-jun, LOU Jie, WEN Qing-zhi. Modelling Two Different Therapy Strategies for Drug T-20 on HIV-1 Patients[J]. Applied Mathematics and Mechanics, 2011, 32(4): 400-416. doi: 10.3879/j.issn.1000-0887.2011.04.004

Modelling Two Different Therapy Strategies for Drug T-20 on HIV-1 Patients

doi: 10.3879/j.issn.1000-0887.2011.04.004
  • Received Date: 2010-05-10
  • Rev Recd Date: 2011-02-21
  • Publish Date: 2011-04-15
  • A mathematical model that describes the antiretroviral therapy of the fusion inhibitor enfuvirtide on HIV-1 patients and the effect of enfuvirtide (formerly T-20) using impulsive differential equations were developed,taking into account two different drug elimination kinetics:first order and Michaelis-Menten.The model was a non-autonomous system of differential equations.For the time-dependent system,the disease-free equilibrium and its stability when therapy was taken with perfect adherence were focused on.Analytical thresholds for dosage and dosing intervals were determined to ensure that the disease-free equilibrium remains stable.The effects of supervised treatment interruption were also explored.It is shown that supervised treatment interruption may be worse than no therapy at all,thus strongly supporting no interruption strategies.
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