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使用T-20治疗HIV-1患者的不同策略的数学建模与研究

宋保军 娄洁 文清芝

宋保军, 娄洁, 文清芝. 使用T-20治疗HIV-1患者的不同策略的数学建模与研究[J]. 应用数学和力学, 2011, 32(4): 400-416. doi: 10.3879/j.issn.1000-0887.2011.04.004
引用本文: 宋保军, 娄洁, 文清芝. 使用T-20治疗HIV-1患者的不同策略的数学建模与研究[J]. 应用数学和力学, 2011, 32(4): 400-416. doi: 10.3879/j.issn.1000-0887.2011.04.004
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

使用T-20治疗HIV-1患者的不同策略的数学建模与研究

doi: 10.3879/j.issn.1000-0887.2011.04.004
基金项目: 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)
详细信息
    作者简介:

    宋保军(1959- ),男,美国人,副教授,博士(联系人.E-mail:songb@mail.montclair.edu).

  • 中图分类号: O175.7

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

  • 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.
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出版历程
  • 收稿日期:  2010-05-10
  • 修回日期:  2011-02-21
  • 刊出日期:  2011-04-15

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