当前位置: X-MOL 学术J. Biol. Dyn. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Threshold dynamics of a HCV model with virus to cell transmission in both liver with CTL immune response and the extrahepatic tissue
Journal of Biological Dynamics ( IF 2.8 ) Pub Date : 2020-12-24 , DOI: 10.1080/17513758.2020.1859632
Xinli Hu 1 , Jianquan Li 2 , Xiaomei Feng 3, 4
Affiliation  

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 R 01 and immune reproduction number R 02 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 R 01 < 1 , the virus will be cleared out eventually and the CTL immune response will also disappear; when R 02 < 1 < R 01 , the virus persists within the host, but the CTL immune response disappears eventually; when R 02 > 1 , both of the virus and the CTL immune response persist within the host. Finally, a brief discussion will be given.



中文翻译:

具有 CTL 免疫反应的肝脏和肝外组织中病毒到细胞传播的 HCV 模型的阈值动态

在本文中,提出了表征丙型肝炎病毒 (HCV) 在肝内和肝外组织中宿主内感染的确定性模型。此外,该模型还包括由受感染细胞的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,建立模型解的非负性和有界性。二、基本再生数 电阻 01 和免疫再生数 电阻 02 分别计算。根据这两个阈值讨论了三个平衡,即无感染、无 CTL 免疫反应和感染与 CTL 免疫反应的平衡。第三,从理论上和数值上研究了这三个平衡点的稳定性。结果表明,当 电阻 01 < 1 ,病毒最终会被清除,CTL免疫反应也会消失;什么时候 电阻 02 < 1 < 电阻 01 ,病毒在宿主体内持续存在,但CTL免疫反应最终消失;什么时候 电阻 02 > 1 ,病毒和 CTL 免疫反应都在宿主体内持续存在。最后,将进行简要讨论。

更新日期:2020-12-24
down
wechat
bug