Optimal control strategy for the immunotherapeutic treatment of HIV infection with state constraint
Optimal control strategy for the immunotherapeutic treatment of HIV infection with state constraint
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DOI：
10.1002/oca.2516
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发表时间：
2019-07-01
影响因子：
1.8
通讯作者：
Mallick, Uzzwal Kumar
中科院分区：
文献类型：
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作者：
Biswas, Md. Haider Ali;Haque, Md. Mohidul;Mallick, Uzzwal Kumar
本文讨论了一个描述人体免疫系统与病毒相互作用的非线性HIV免疫学模型。最优免疫策略的获得使用庞特里亚金最大值原理的状态约束是积极的。目的是找到最佳的治疗策略，使治疗结束时未感染的CD4+T细胞计数最大化，同时最大限度地减少抗逆转录病毒药物剂量的危险副作用以及系统成本。这项工作的新奇是引入了一个状态约束的动态修改模型。对该模型进行了解析研究，并通过数值结果验证了结果。我们的状态约束最优控制模型的结果表明，更有效的治疗策略，艾滋病毒感染。
This paper deals with a nonlinear model of HIV immunology which describes the interactions between the human immune system and the virus. The optimal immunotherapeutic strategies are obtained using the Pontryagin maximum principle where the state constraint is active. The aim is to find the optimal treatment strategy such that the number of uninfected CD4+T cells count at the end of treatment is maximized while minimizing the hazardous side effects of the antiretroviral drug doses as well as the systematic cost. The novelty of this work is the introduction of a state constraint in the dynamics to modify the model. The model is investigated analytically and the result is verified with numerical findings. The result of our state-constrained optimal control model shows the better effective treatment strategy for HIV infection.