具有两类靶细胞和潜伏感染的HIV感染模型  

A Model of HIV Infection with Two Types of Target Cells and Latent Infection

作　　者：张佳豪 郭黄涛 王艳 

机构地区：[1]中国石油大学(华东)理学院,山东 青岛

出　　处：《应用数学进展》2024年第6期2687-2700,共14页Advances in Applied Mathematics

摘　　要：本文研究具有潜伏感染阶段的HIV在两种不同类型靶细胞(活化的CD4+T细胞和巨噬细胞)中的传播动力学,考虑HIV感染的多个方面,包括病毒复制、细胞感染、药物治疗干预,以及潜伏感染细胞的作用,建立具有两类靶细胞的数学模型。该模型存在无病平衡点和感染平衡点,通过对模型特征方程根的分析得到各平衡点的局部渐近稳定性。我们关注抗逆转录病毒药物(RTIs和PIs)对HIV传播的抑制效果,并探讨这些药物在不同靶细胞中的作用。数值模拟结果表明,模型的动态行为受到药物抑制效果以及其它关键生物参数的显著影响。特别是,我们展示在特定的药物效能和病毒感染参数下,系统能够达到无病状态或维持低病毒负荷的长期稳定状态。此外,本研究还通过数值模拟揭示不同药物组合和剂量下模型的响应,强调优化HIV治疗策略的潜在重要性。This paper studies the dynamics of HIV transmission in two different types of target cells (activated CD4+T cells and macrophages) with latent infection. It considers various aspects of HIV infection, including viral replication, cell infection, antiretroviral intervention, and the role of latently infected cells, establishing a mathematical model with two types of target cells. The model exhibits both disease-free and infected equilibrium points, and the local asymptotic stability of each equilibrium point is determined by analyzing the roots of the model’s characteristic equation. We focus on the inhibitory effects of antiretroviral drugs (RTIs and PIs) on HIV transmission and explore the effects of these drugs in different target cells. Numerical simulations indicate that the model’s dynamics are significantly influenced by the drug inhibition efficacy and other key biological parameters. In particular, we demonstrate that under certain drug efficacy and viral infection parameters, the system can achieve a disease-free state or maintain a long-term stable state with a low viral load. Moreover, this study reveals the model's response under different drug combinations and dosages through numerical simulations, emphasizing the potential importance of optimizing HIV treatment strategies.

关 键 词：HIV病毒 CD4⁺T细胞 巨噬细胞 基本再生数 稳定性分析 

分 类 号：R51[医药卫生—内科学]