具有衣壳和CTL免疫应答的分数最优控制HBV感染模型的动力学

Q3 Mathematics

Mathematical Modeling and Computing Pub Date : 2023-01-01 DOI:10.23939/mmc2023.01.239

M. Ait Ichou, M. Bachraoui, K. Hattaf, N. Yousfi

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引用次数: 3

摘要

本文讨论了一个分数最优控制问题模型，该模型描述了乙型肝炎病毒(HBV)与含HBV dna的衣壳、肝细胞(肝细胞)和细胞毒性t细胞免疫反应之间的相互作用。最优控制代表药物治疗在抑制病毒产生和预防新感染方面的有效性。对最优系统进行了推导和数值求解。我们的研究结果还表明，最佳的治疗策略可以降低病毒载量，增加未感染细胞的数量，从而提高患者的生活质量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dynamics of a fractional optimal control HBV infection model with capsids and CTL immune response

This paper deals with a fractional optimal control problem model that describes the interactions between hepatitis B virus (HBV) with HBV DNA-containing capsids, liver cells (hepatocytes), and the cytotoxic T-cell immune response. Optimal controls represent the effectiveness of drug therapy in inhibiting viral production and preventing new infections. The optimality system is derived and solved numerically. Our results also show that optimal treatment strategies reduce viral load and increase the number of uninfected cells, which improves the patient's quality of life.

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来源期刊

Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics

CiteScore

1.60

自引率

0.00%

发文量