具有CTL免疫应答的肝脏和肝外组织中病毒向细胞传播的HCV模型的阈值动力学

IF 1.8 4区 数学 Q3 ECOLOGY Journal of Biological Dynamics Pub Date : 2021-12-01 DOI:10.1080/17513758.2020.1859632
Xinli Hu, Jianquan Li, Xiaomei Feng
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引用次数: 6

摘要

本文提出了一种表征丙型肝炎病毒(HCV)在肝内和肝外组织中宿主内感染的确定性模型。此外,该模型还包括受感染细胞线性激活率描述的细胞毒性T淋巴细胞(CTL)免疫的影响。首先,建立了模型解的非负性和有界性。其次,分别计算基本繁殖数R01和免疫繁殖数R02。根据这两个阈值讨论了无感染平衡、无CTL免疫反应平衡和有CTL免疫反应的感染平衡。第三,对这三种平衡的稳定性进行了理论和数值研究。结果表明,当R011发生时,病毒最终被清除,CTL免疫应答也随之消失;当R021R01时,病毒在宿主体内持续存在,但CTL免疫应答最终消失;当R02>1时,病毒和CTL免疫反应都在宿主体内持续存在。最后,将作一个简短的讨论。
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Threshold dynamics of a HCV model with virus to cell transmission in both liver with CTL immune response and the extrahepatic tissue.

In this paper, a deterministic model characterizing the within-host infection of Hepatitis C virus (HCV) in intrahepatic and extrahepatic tissues is presented. In addition, the model also includes the effect of the cytotoxic T lymphocyte (CTL) immunity described by a linear activation rate by infected cells. Firstly, the non-negativity and boundedness of solutions of the model are established. Secondly, the basic reproduction number R01 and immune reproduction number R02 are calculated, respectively. Three equilibria, namely, infection-free, CTL immune response-free and infected equilibrium with CTL immune response are discussed in terms of these two thresholds. Thirdly, the stability of these three equilibria is investigated theoretically as well as numerically. The results show that when R01<1 , the virus will be cleared out eventually and the CTL immune response will also disappear; when R02<1<R01 , the virus persists within the host, but the CTL immune response disappears eventually; when R02>1 , both of the virus and the CTL immune response persist within the host. Finally, a brief discussion will be given.

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来源期刊
Journal of Biological Dynamics
Journal of Biological Dynamics ECOLOGY-MATHEMATICAL & COMPUTATIONAL BIOLOGY
CiteScore
4.90
自引率
3.60%
发文量
28
审稿时长
33 weeks
期刊介绍: Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.
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