饱和感染率下病毒感染模型的最优控制

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/naco.2020031

J. Danane

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引用次数: 2

摘要

研究具有细胞毒性t淋巴细胞(CTL)免疫应答的病毒感染模型的最优控制问题。所考虑的模型描述了未感染细胞、感染细胞、游离病毒和CTL细胞之间的相互作用。这两种治疗方法代表了药物治疗在抑制病毒产生和预防新感染方面的效率。建立了最优控制对的存在性，并利用庞特里亚金极大值原理对这两个最优控制进行了表征。利用正、后向差分逼近法推导了最优系统，并对其进行了数值求解。最后，进行了数值模拟，以显示最佳治疗在控制感染严重程度中的作用。

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Optimal control of viral infection model with saturated infection rate

This paper deals with an optimal control problem for a viral infection model with cytotoxic T-lymphocytes (CTL) immune response. The model under consideration describes the interaction between the uninfected cells, the infected cells, the free viruses and the CTL cells. The two treatments represent the efficiency of drug treatment in inhibiting viral production and preventing new infections. Existence of the optimal control pair is established and the Pontryagin's maximum principle is used to characterize these two optimal controls. The optimality system is derived and solved numerically using the forward and backward difference approximation. Finally, numerical simulations are performed in order to show the role of optimal therapy in controlling the infection severity.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.