메뉴 건너뛰기




Volumn 165, Issue 1, 2000, Pages 27-39

A delay-differential equation model of HIV infection of CD4+ T-cells

Author keywords

Characteristic equation; HIV infection; Intercellular delay; Stability; Steady state

Indexed keywords

CD4 ANTIGEN; VIRUS RNA;

EID: 0034108662     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(00)00006-7     Document Type: Article
Times cited : (570)

References (40)
  • 1
    • 85012110382 scopus 로고
    • Mathematical and statistical studies of the epidemiology of HIV
    • Anderson R.M. Mathematical and statistical studies of the epidemiology of HIV. AIDS. 4:1990;107.
    • (1990) AIDS , vol.4 , pp. 107
    • Anderson, R.M.1
  • 2
    • 0342996780 scopus 로고
    • Complex dynamical behavior in the interaction between HIV and the immune system
    • in: A. Goldbeter ( Ed.), Academic Press, New York
    • R.M. Anderson, R.M. May, Complex dynamical behavior in the interaction between HIV and the immune system, in: A. Goldbeter ( Ed.), Cell to Cell Signalling: From Experiments to Theoretical Models, Academic Press, New York, 1989, p. 335.
    • (1989) Cell to Cell Signalling: From Experiments to Theoretical Models , pp. 335
    • Anderson, R.M.1    May, R.M.2
  • 5
    • 0032492107 scopus 로고    scopus 로고
    • Target cell limited and immune control models of HIV infection: A comparison
    • De Boer R.J., Perelson A.S. Target cell limited and immune control models of HIV infection: a comparison. J. Theor. Biol. 190:1998;201.
    • (1998) J. Theor. Biol. , vol.190 , pp. 201
    • De Boer, R.J.1    Perelson, A.S.2
  • 7
    • 85121520467 scopus 로고
    • Analysis of immune system retrovirus equations
    • in: A.S. Perelson (Ed.), Addison-Wesley, Redwood City, CA
    • N. Intrator, G.P. Deocampo, L.N. Cooper, Analysis of immune system retrovirus equations, in: A.S. Perelson (Ed.), Theoretical Immunology , II, Addison-Wesley, Redwood City, CA, 1988, p. 85.
    • (1988) Theoretical Immunology , vol.2 , pp. 85
    • Intrator, N.1    Deocampo, G.P.2    Cooper, L.N.3
  • 10
    • 0030095028 scopus 로고    scopus 로고
    • A model for the treatment strategy in the chemotherapy of AIDS
    • Kirschner D.E., Webb G.F. A model for the treatment strategy in the chemotherapy of AIDS. Bull. Math. Biol. 58:1996;367.
    • (1996) Bull. Math. Biol. , vol.58 , pp. 367
    • Kirschner, D.E.1    Webb, G.F.2
  • 11
    • 0031177707 scopus 로고    scopus 로고
    • Understanding drug resistance for monotherapy treatment of HIV infection
    • Kirschner D.E., Webb G.F. Understanding drug resistance for monotherapy treatment of HIV infection. Bull. Math. Biol. 59:1997;763.
    • (1997) Bull. Math. Biol. , vol.59 , pp. 763
    • Kirschner, D.E.1    Webb, G.F.2
  • 12
    • 0025226583 scopus 로고
    • A model of human immunodeficiency virus infection in T-helper cell clones
    • McLean A.R., Kirkwood T.B.L. A model of human immunodeficiency virus infection in T-helper cell clones. J. Theor. Biol. 147:1990;177.
    • (1990) J. Theor. Biol. , vol.147 , pp. 177
    • McLean, A.R.1    Kirkwood, T.B.L.2
  • 13
    • 0026574212 scopus 로고
    • Models of interaction between HIV and other pathogens
    • McLean A.R., Nowak M.A. Models of interaction between HIV and other pathogens. J. Theor. Biol. 155:1992;69.
    • (1992) J. Theor. Biol. , vol.155 , pp. 69
    • McLean, A.R.1    Nowak, M.A.2
  • 14
    • 0029985351 scopus 로고    scopus 로고
    • Population dynamics of immune responses to persistent viruses
    • Nowak M.A., Bangham R.M. Population dynamics of immune responses to persistent viruses. Science. 272:1996;74.
    • (1996) Science , vol.272 , pp. 74
    • Nowak, M.A.1    Bangham, R.M.2
  • 15
    • 0025871325 scopus 로고
    • Mathematical biology of HIV infection: Antigenic variation and diversity threshold
    • Nowak M.A., May R.M. Mathematical biology of HIV infection: antigenic variation and diversity threshold. Math. Biosci. 106:1991;1.
    • (1991) Math. Biosci. , vol.106 , pp. 1
    • Nowak, M.A.1    May, R.M.2
  • 16
    • 0003056312 scopus 로고
    • Modelling the interaction of the immune system with HIV
    • in: C. Castillo-Chavez (Ed.), Springer, Berlin
    • A.S. Perelson, Modelling the interaction of the immune system with HIV, in: C. Castillo-Chavez (Ed.), Mathematical and Statistical Approaches to AIDS Epidemiology, Springer, Berlin, 1989, p. 350.
    • (1989) Mathematical and Statistical Approaches to AIDS Epidemiology , pp. 350
    • Perelson, A.S.1
  • 18
    • 0029967721 scopus 로고    scopus 로고
    • HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time
    • A.S. Perelson, A.U. Neumann, M. Markowitz, J.M. Leonard, D.D. Ho, HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time, Science, 271 1996, p. 1582.
    • (1996) Science , vol.271 , pp. 1582
    • Perelson, A.S.1    Neumann, A.U.2    Markowitz, M.3    Leonard, J.M.4    Ho, D.D.5
  • 19
    • 0031558224 scopus 로고    scopus 로고
    • The necessity of cofactors in the pathogenesis of AIDS: A mathematical model
    • Root-Bernstein R.S., Merrill S.J. The necessity of cofactors in the pathogenesis of AIDS: a mathematical model. J. Theor. Biol. 187:1997;135.
    • (1997) J. Theor. Biol. , vol.187 , pp. 135
    • Root-Bernstein, R.S.1    Merrill, S.J.2
  • 21
  • 22
    • 0000317840 scopus 로고    scopus 로고
    • Using mathematics to understand HIV immune dynamics
    • Kirschner D.E. Using mathematics to understand HIV immune dynamics. Notices Am. Math. Soc. 43:1996;191.
    • (1996) Notices Am. Math. Soc. , vol.43 , pp. 191
    • Kirschner, D.E.1
  • 23
    • 0001918317 scopus 로고    scopus 로고
    • Mathematical analysis of HIV-1 dynamics in vivo
    • Perelson A.S., Nelson P.W. Mathematical analysis of HIV-1 dynamics in vivo. SIAM Rev. 41:1999;3.
    • (1999) SIAM Rev. , vol.41 , pp. 3
    • Perelson, A.S.1    Nelson, P.W.2
  • 31
    • 0032168279 scopus 로고    scopus 로고
    • Influence of delayed viral production on viral dynamics in HIV-1 infected patients
    • Mittler J.E., Sulzer B., Neumann A.U., Perelson A.S. Influence of delayed viral production on viral dynamics in HIV-1 infected patients. Math. Biosci. 152:1998;143.
    • (1998) Math. Biosci. , vol.152 , pp. 143
    • Mittler, J.E.1    Sulzer, B.2    Neumann, A.U.3    Perelson, A.S.4
  • 32
    • 0032840595 scopus 로고    scopus 로고
    • Improved estimates for HIV-1 clearance rate and intracellular delay
    • Mittler J.E., Markowitz M., Ho D.D., Perelson A.S. Improved estimates for HIV-1 clearance rate and intracellular delay. AIDS. 13:1999;1415.
    • (1999) AIDS , vol.13 , pp. 1415
    • Mittler, J.E.1    Markowitz, M.2    Ho, D.D.3    Perelson, A.S.4
  • 33
    • 0032921110 scopus 로고    scopus 로고
    • Delay effect in a model for virus replication
    • Tam J. Delay effect in a model for virus replication. IMA J. Math. Appl. Med. Biol. 16:1999;29.
    • (1999) IMA J. Math. Appl. Med. Biol. , vol.16 , pp. 29
    • Tam, J.1
  • 37
    • 10544241554 scopus 로고    scopus 로고
    • Quantitative image analysis of HIV-1 infection in lymphoid tissue
    • Haase A.T.et al. Quantitative image analysis of HIV-1 infection in lymphoid tissue. Science. 274:1996;985.
    • (1996) Science , vol.274 , pp. 985
    • Haase, A.T.1
  • 38
    • 15144342918 scopus 로고    scopus 로고
    • Kinetics of response in lymphoid tissues to antiretroviral therapy of HIV-1 infection
    • Cavert W.et al. Kinetics of response in lymphoid tissues to antiretroviral therapy of HIV-1 infection. Science. 276:1997;960.
    • (1997) Science , vol.276 , pp. 960
    • Cavert, W.1
  • 39
    • 0033577801 scopus 로고    scopus 로고
    • Constant mean viral copy number per infected cell in tissues regardless of high, low, or undetectable plasma HIV RNA
    • Hockett R.D.et al. Constant mean viral copy number per infected cell in tissues regardless of high, low, or undetectable plasma HIV RNA. J. Exp. Med. 189:1999;1545.
    • (1999) J. Exp. Med. , vol.189 , pp. 1545
    • Hockett, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.