使用T-20治疗HIV-1患者的不同策略的数学建模与研究  

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

作　　者：宋保军 娄洁[2] 文清芝[3] 

机构地区：[1]蒙特克莱尔州立大学数学系 [2]上海大学数学系,上海200444 [3]萍乡高等专科学校数学系,江西萍乡337055

出　　处：《应用数学和力学》2011年第4期400-416,共17页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(11072136);上海市重点学科基金资助项目(S30104);加拿大国际发展研究中心资助项目(104519-010);中国卫生部资助项目(2009DFB30420);国家传染病预防与控制重点实验室资助项目(2008SKLID101)

摘　　要：通过建立数学模型,描述了HIV-1感染者使用抗病毒治疗药物——融合酶抑制剂(T-20)的治疗效果.使用脉冲微分方程描述了T-20的使用过程,并考虑了两种不同的药物消除动力学:一级消除动力学与米-曼(Michaelis-Menten)消除动力学.此模型是个非自治微分方程系统,主要关注其无病平衡态,并研究当接受治疗者在服药完全依从的治疗过程中无病平衡态的稳定性.分别针对药物剂量与服药间隔得到了使得无病平衡态稳定的阈值条件.此外,还研究了间歇治疗的效果.研究表明,间歇治疗的效果甚至可以比完全不治疗还要糟糕.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.

关 键 词：ENFUVIRTIDE HIV 抗病毒治疗 数学模型 药物消除动力学 

分 类 号：O175.7[理学—数学]