Modelling two different therapy strategies for drug T-20 on HIV-1 patients |
| |
Authors: | Bao-jun Song Jie Lou Qing-zhi Wen |
| |
Institution: | 1. Department of Mathematical Sciences, Montclair State University, Montclair, NJ 07043, USA 2. Department of Mathematics, College of Science, Shanghai University,Shanghai 200444, P. R. China 3. Scientific Research Department, Pingxiang College, Pingxiang 337055,Jiangxi Province, P. R. China |
| |
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. |
| |
Keywords: | Enfuvirtide HIV antiretroviral therapy mathematical model drug elimination kinetics |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |
|