A Dynamical Study of a Cellular Automata Model of the Spread of HIV in a Lymph Node

被引：0
作者：
E. G. Burkhead
J. M. Hawkins
D. K. Molinek
机构：
[1] Meredith College,Department of Mathematics and Computer Science
[2] University of North Carolina at Chapel Hill,Department of Mathematics
[3] Davidson College,Department of Mathematics
来源：
Bulletin of Mathematical Biology | 2009年 / 71卷
关键词：
Cellular automata; Dynamical systems; Virus spread;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We conduct a mathematical study of a cellular automata model of the spread of the HIV virus in a lymph node. The model was proposed by Zorzenon dos Santos and Coutinho and captures the unique time scale of the viral spread. We give some rigorous mathematical results about the time scales and other dynamical aspects of the model as well as discuss parameter and model changes and their consequences.
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页码：25 / 74
页数：49
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共 29 条
  • [1] Allouche J.(2001)Notes on cellular automata Cubo Mat. Educ. 3 213-244
  • [2] Courbage M.(2002)Selection of escape mutants from the immune recognition during HIV infection Immunol. Cell Biol. 80 307-313
  • [3] Skordev G.(2000)Some properties of cellular automata with equicontinuity points Ann. Inst. Henri Poincaré Probab. Stat. 36 569-582
  • [4] Bernaschi M.(1996)Immunopathogenic mechanisms of HIV infection Ann. Int. Med. 124 654-663
  • [5] Castiglione F.(2006)Equicontinuity properties of D-dimensional cellular automata Topol. Proc. 30 197-222
  • [6] Blanchard F.(1999)Population biology of HIV-1 infection: Viral and Annu. Rev. Immunol. 17 625-656
  • [7] Tisseur P.(2007)4 Topol. Proc. 31 515-532
  • [8] Fauci A.(1969)  Math. Syst. Theory 3 320-375
  • [9] Pantaleo G.(2005) cell demographics and dynamics in lymphatic tissues Theor. Comput. Sci. 334 3-33
  • [10] Stanley S.(1996)One-dimensional stochastic cellular automata Ann. Rev. Microbiol. 50 825-854
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