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

SONG Bao-jun; LOU Jie; WEN Qing-zhi

doi:10.3879/j.issn.1000-0887.2011.04.004

Volume 32 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2011 > 32(4): 400-416

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

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

doi: 10.3879/j.issn.1000-0887.2011.04.004

Department of Mathematical Sciences, Montclair State University, Montclair, NJ 07043, USA;
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;
Scientific Research Department, Pingxiang College, Pingxiang, Jiangxi 337055, P. R. China

Received Date: 2010-05-10
Rev Recd Date: 2011-02-21
Publish Date: 2011-04-15

Abstract

Abstract

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.
- enfuvirtide,
- HIV,
- antiretroviral therapy,
- mathematical model,
- drug elimination kinetic

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References

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