Optimal Scheduling of Drug Treatment for HIV Infection : Continuous Dose Control and Receding Horizon Control
Optimal Scheduling of Drug Treatment for HIV Infection : Continuous Dose Control and Receding Horizon Control
复制标题
HIV 感染药物治疗的最佳安排：连续剂量控制和后退水平控制
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
J. Seo
中科院分区：
文献类型：
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作者：
H. Shim;Seung Ju Han;C. Chung;Sang Won Nam;J. Seo
众所周知，HIV（人类免疫缺陷病毒）感染是一个可以数学建模的动态过程，经过一段潜伏期后导致艾滋病。可用的抗病毒药物的作用，可以防止HIV感染健康细胞，也可以包括在模型中。本文说明了控制理论可以应用于HIV感染模型。特别是，药物剂量被视为控制输入，目的是激发免疫反应，使感染患者的症状不发展为艾滋病。由于模型是高度非线性的，为了提高免疫反应的性能，采用有限区间最优控制来获得最优的给药方案。从模拟研究中，我们发现药物剂量的逐渐减少对最优效果很重要。我们还证明了所得到的开环最优控制容易受到模型参数变化和测量噪声的影响。为了克服这一困难，我们最后提出了非线性渐退视界控制，以结合药物治疗中的反馈。
It is known that HIV (Human Immunodeficiency Virus) infection, which causes AIDS after some latent period, is a dynamic process that can be modeled mathematically. Effects of available anti-viral drugs, which prevent HIV from infecting healthy cells, can also be included in the model. In this paper we illustrate control theory can be applied to a model of HIV infec- tion. In particular, the drug dose is regarded as control input and the goal is to excite an immune response so that the symptom of infected patient should not be developed into AIDS. Finite hori- zon optimal control is employed to obtain the optimal schedule of drug dose since the model is highly nonlinear and we want maximum performance for enhancing the immune response. From the simulation studies, we found that gradual reduction of drug dose is important for the optimal- ity. We also demonstrate the obtained open-loop optimal control is vulnerable to parameter varia- tion of the model and measurement noise. To overcome this difficulty, we finally present nonlin- ear receding horizon control to incorporate feedback in the drug treatment.