Modelling two different therapy strategies for drug T-20 on HIV-1 patients

Baojun Song, Jie Lou, Qing Zhi Wen

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A mathematical model describing the antiretroviral therapy of Enfuvirtide on HIV-1 patients is developed. The effect of Enfuvirtide (formerly called T-20) by impulsive differential equations is modeled by two different drug elimination kinetics, the first-order elimination kinetics and the Michaelis-Menten elimination kinetics. The model is a non-autonomous system of differential equations. For a time-dependent system, the disease-free equilibrium is mainly studied. Its stability, when the therapy is taken with perfect adherence, is obtained. To ensure the disease-free equilibrium remains stable, the analytical thresholds for dosage and dosing intervals are determined. The effects of supervised treatment interruption are also explored. It is shown that the supervised treatment interruption can be worse than no therapy at all.

Original languageEnglish
Pages (from-to)419-436
Number of pages18
JournalApplied Mathematics and Mechanics (English Edition)
Volume32
Issue number4
DOIs
StatePublished - 1 Apr 2011

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Therapy
Elimination
Drugs
Kinetics
Differential equations
Modeling
Nonautonomous Systems
Impulsive Differential Equations
System of Differential Equations
Mathematical Model
Mathematical models
First-order
Interval
Strategy
Model

Keywords

  • antiretroviral therapy
  • drug elimination kinetics
  • Enfuvirtide
  • HIV
  • mathematical model

Cite this

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Modelling two different therapy strategies for drug T-20 on HIV-1 patients. / Song, Baojun; Lou, Jie; Wen, Qing Zhi.

In: Applied Mathematics and Mechanics (English Edition), Vol. 32, No. 4, 01.04.2011, p. 419-436.

Research output: Contribution to journalArticle

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