关于一个脉冲用药的HIV免疫模型的研究  

The Study on A Immunological Model of HIV Infection with Impulsive Dosing Scheme

作　　者：林东榕[1] 惠静[1] 庞建华[1] 

机构地区：[1]广西工学院机械工程系,广西柳州545006

出　　处：《数学的实践与认识》2011年第10期160-166,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10526015;10861003)

摘　　要：对一个脉冲用药的HIV免疫模型进行研究,发现在用药间隔足够小时,预防抗化剂的脉冲使用通过使T细胞水平无限接近于未被感染的免疫水平来保持个体的免疫功能,并且文中进一步给出这个合适的用药间隔估计.这对指导AIDS治疗临床实践具有参考意义.In this paper,we study a mathematical model that describes the interaction of HIV infection and CD4~＋ T cells within an infected individual,considering the dynamics of CD4~＋ T cells interacting with virions,impulisive applied drugs.We find that the impulsive administration of preventive inhibitor has the potential to maintain immune function,in the sense that it is possible to choose a small enough dosing interval so that the population of T cells is arbitrarily close to the level for the uninfected immune system;we can further estimate the suitable dosing intervals in order to maintain a healthy immune system.This is helpful to instruct the clinical practice of AIDS.

关 键 词：脉冲用药 HIV模型 动力学行为 

分 类 号：O242.1[理学—计算数学]