具有脉冲控制输入的HIV预防控制系统方法

Hyeygjeon Chang, C. Moog, A. Astolfi
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引用次数: 2

摘要

我们研究了一种控制方法的艾滋病毒动力学,以提高免疫反应使用基于模型的方法。用数学模型讨论了脉冲控制的思想。HIV动力学模型包括抗逆转录病毒药物的药代动力学和药效学。因此,药物的剂量是控制输入。由于它们是在离散时刻进行控制的,这自然就产生了非线性连续系统的脉冲控制问题。利用这一模型,我们通过数值模拟模拟了最近报道的临床实验,并对实验结果进行了分析。值得注意的是,这种建模方法可以帮助为临床结果提供理论解释。本文指出,该实验方案可能意味着增强对HIV的免疫反应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A control systems approach to HIV prevention with impulsive control input
We investigate a control method for HIV dynamics to boost the immune response using a model-based approach. The idea of impulsive control is discussed using a mathematical model. The HIV dynamic model includes the pharmacokinetics and pharmacodynamics of antiretroviral drugs. Consequently, the dosage of drugs are the control inputs. As they are administrated at discrete time instants this naturally yields an impulsive control problem for a nonlinear continuous-time system. Exploiting this model we emulate recently reported clinical experiments via numerical simulation and analyse the experimental results. It is noted that this modeling approach can help to provide a theoretical explanation of the clinical result. Throughout this paper it is pointed out that the protocol of the experiment could imply the enhancement of the immune response against HIV.
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