细胞毒性T淋巴细胞对HIV感染的体内动态影响。

International Scholarly Research Notices Pub Date : 2017-11-14 eCollection Date: 2017-01-01 DOI:10.1155/2017/2124789
Purity Ngina, Rachel Waema Mbogo, Livingstone S Luboobi
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引用次数: 3

摘要

HIV感染的体内动态、感染机制、被感染的细胞类型以及细胞毒性细胞所起的作用尚不清楚。本文使用数学模型作为工具来研究和分析HIV感染时的免疫系统动力学。我们从已知的免疫细胞和HIV病毒粒子之间的生物相互作用机制中推导出一个非线性常微分方程的六维模型。证明了微分方程解的存在唯一性和正有界性。进一步,导出了无病繁殖数,并研究了模型的局部渐近稳定性。此外,还进行了数值分析,以说明R0 < 1的重要性。最后,用图形表示了HIV体内感染的生物学动力学。结果表明,在急性感染时,细胞毒性t细胞在减少HIV病毒复制中起着至关重要的作用。此外,研究结果强调了制定控制措施、干预措施和管理政策的重要性,这些政策的实施将导致急性感染期间病毒的抑制。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

The <i>In Vivo</i> Dynamics of HIV Infection with the Influence of Cytotoxic T Lymphocyte Cells.

The <i>In Vivo</i> Dynamics of HIV Infection with the Influence of Cytotoxic T Lymphocyte Cells.

The <i>In Vivo</i> Dynamics of HIV Infection with the Influence of Cytotoxic T Lymphocyte Cells.

The In Vivo Dynamics of HIV Infection with the Influence of Cytotoxic T Lymphocyte Cells.

The in vivo dynamics of HIV infection, the infection mechanism, the cell types infected, and the role played by the cytotoxic cells are poorly understood. This paper uses mathematical modelling as a tool to investigate and analyze the immune system dynamics in the presence of HIV infection. We formulate a six-dimensional model of nonlinear ordinary differential equations derived from known biological interaction mechanisms between the immune cells and the HIV virions. The existence and uniqueness as well as positivity and boundedness of the solutions to the differential equations are proved. Furthermore, the disease-free reproduction number is derived and the local asymptotic stability of the model investigated. In addition, numerical analysis is carried out to illustrate the importance of having R0 < 1. Lastly, the biological dynamics of HIV in vivo infection are graphically represented. The results indicate that, at acute infection, the cytotoxic T-cells play a paramount role in reducing HIV viral replication. In addition, the results emphasize the importance of developing controls, interventions, and management policies that when implemented would lead to viral suppression during acute infection.

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