期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

具有CTL免疫反应的HIV模型的性态分析 被引量：2

Qualitative Analysis of a HIV-I Model with CTL Immune Response
下载PDF
导出
摘要 研究一个三维的具有CTL免疫反应的细胞对细胞作用的HIV数学模型,利用Lyapunov-LaSalle不变原理,给出该模型的全局性态分析.最后数值模拟验证结论. This paper study a three-dimensional cell-to-cell spread of HIV model with CTL immune response. By means of Lyapunov-LaSalle type theorem,we give completely qualitative analysis to this model. Numerical simula- tions are presented to illustrate the results.
作者 王战伟 王彩霞
机构地区 郑州航空工业管理学院数理系 华北水利水电学院
出处 《河南科学》 2008年第12期1435-1437,共3页 Henan Science
基金 国家自然科学基金(30770555)
关键词 HIV模型 特征方程 CTL免疫反应 平衡点 稳定性 HIV model characteristic equation CTL immune response equilibria stability
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Bangham R M. The immune response to HTLV-1 [J]. Current Opinion in Immunology, 2000, 12: 397-402.
  • 2Schmitz J E, Kuroda M J, Santra S, et al. Control of viremia in simian immunodeficiency virus infection by CD8+ lymphocytes [J]. Science, 1999,283: 857-860.
  • 3Nowak A, Bangham R M. Population dynamics of immune responses to persistent viruses[J]. Science, 1996, 272: 74-79.
  • 4Sato H, Orenstein J, Dimitrov D, et al. Cell-to-cell spread of HIV-I occurs with minutes and may not involve the participation of virus particles[J]. Virology, 1992, 186: 712-724.
  • 5Gummuluru S, Kinsey C M, Emerman M. An in vitro rapid-turnover assay for human immunodeficiency virus type 1 replication selects for cell-to-cell spread of virua[J]. J Virol, 2000, 74: 10882-10891.
  • 6Bonhoeffer S, Coffin J M, Nowak M A. Human immunodeficiency virus drug therapy and virus load [J]. J Virol, 1997,71 : 3275-3278.
  • 7Kuang Y. Delay differential equations with applications in population dynamics [M]. Boston:Academic Press, 1993:26-38.
  • 8Culshaw R V, Ruan S, Spiteri R J. Optimal HIV treatment by maximising immune response[J]. J Math Biol, 2004,48: 545-562.

同被引文献36

  • 1马知恩,周义仓.常微分方程定性与稳定性方法[M].北京:科学出版社,2007.
  • 2Craig I,Xia X.Can HIV/AIDS be controlled[J].IEEE Control Syst.Mag.,2005,25:80-83.
  • 3Khalil H.Nonlinear Systems[M].Englewood Cliffs:Prentice Hall,2002.
  • 4Ko J,Kim W,Chung C.Optimized structural interpretation for HIV therapy and its performance analysis on controllability[J].IEEE Trans.Biomed.Eng.,2006,53:380-386.
  • 5Friedland B.Advanced Control System Design[M].Englewood Cliffs:Prentice Hall,1996.
  • 6Kremling A,Saez-Rodriguez J.Systems biology-An engineering perspective[J].Journal of Biotechnology,2007,129:329-351.
  • 7Sontag E D.New directions in control theory inspired by systems biology[J].Systems Biology,2004,1:9-18.
  • 8Sontag E D.Molecular system biology and control[J].Eur.J.Control,2005,11:396-435.
  • 9Francisco J Q,Mauricio F,Howard L.Systems biology approaches for the study of multiple sclerosis[J].Journal of Cellular and Molecular Medicine,2008,12(4):1087-1093.
  • 10Wu Hulin,Zhu Haihong,Miao Hongyu,et al.Perelson.Parameter Identifiability and Estimation of HIV/AIDS Dynamic Models[J].Bulletin of Mathematical Biology,2008,70(3):785-799.

引证文献2

二级引证文献2

河南科学
2008年 第12期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部