2018年度数学与统计学院校内学术报告预告
时间：2018-01-10 17:51:14 来源： 作者： 阅读： 次
报告题目：Dynamics of an HIV Model with Multiple Infection Stages and Treatment with Different Drug Classes
报告人： 王霞 副教授
报告时间：2018年1月13日（周六）10:30—11:30
报告地点：数学与统计学院学术报告厅
报告摘要：In this talk, we develop a general mathematical model incorporating multiple infection stages and various drug classes that can interfere with specific stages of the viral life cycle. We derive the basic reproductive number and obtain the global stability results of steady states. Using several simple cases of the general model, we study the effect of various drug classes on the dynamics of HIV decay. When drugs are assumed to be 100% effective, drugs acting later in the viral life cycle lead to a faster or more rapid decay in viremia. This is consistent with some patient and experimental data, and also agrees with previous modeling results. When drugs are not 100% effective, the viral decay dynamics are more complicated. Without a second population of long-lived infected cells, the viral load decline can have two phases if drugs act at an intermediate stage of the viral replication cycle. The slopes of viral load decline depend on the drug effectiveness, the death rate of infected cells at different stages, and the transition rate of infected cells from one to the next stage. With a second population of long-lived infected cells, the viral load decline can have three distinct phases, consistent with the observation in patients receiving antiretroviral therapy containing the integrase inhibitor raltegravir. We also fit modeling prediction to patient data under efavirenz and raltegravir treatment. The firstphase viral load decline under raltegravir therapy is longer than that under efavirenz, resulting in a lower viral load at initiation of the second-phase decline in patients taking raltegravir. This explains why patients taking a raltegravir-based therapy were faster to achieve viral suppression than those taking an efavirenz-based therapy. Taken together, this work provides a quantitative and systematic comparison of the effect of different drug classes on HIV decay dynamics and can explain the viral load decline in HIV patients treated with raltegravir-containing regimens.
报告人简介: 王霞，博士后，副教授，硕士生导师。河南省教育厅学术技术带头人(2014)，河南省高校科技创新人才(2016)，河南省高校青年骨干教师(2014)，美国数学评论评论员。近几年来，先后访问美国奥克兰大学、香港理工大学、美国佛罗里达大学；在《Bulletin of Mathematical Biology》、《Journal of Theoretical Biology》等国际学术期刊上发表SCI收录论文30余篇。 主持国家自然科学基金2项、河南省高校科技创新人才支持计划、信阳师范学院首届“南湖学者奖励计划”青年项目(A类)各1项。
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数学与统计学院
2018年1月10日
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