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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

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【作者】 林东榕惠静庞建华

【Author】 LIN Dong-rong,HUI Jing,PANG Jian-hua (Mechanical Egnineering Department,Guangxi University of Technology,Liuzhou 545006,China)

【机构】 广西工学院机械工程系

【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.

【Abstract】 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
【Key words】 Impulsive dosing schemeHIV modelDynamics
【基金】 国家自然科学基金(10526015,10861003)
  • 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2011年10期
  • 【分类号】O242.1
  • 【被引频次】5
  • 【下载频次】72
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