메뉴 건너뛰기




Volumn 13, Issue 1, 2012, Pages 64-77

Bifurcation analysis in a model of cytotoxic T-lymphocyte response to viral infections

Author keywords

Cytotoxic T lymphocyte response; Hopf bifurcation; Immune system; Limit cycles; Stability

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; IMMUNE SYSTEM; STABILITY CRITERIA; T-CELLS;

EID: 80052806309     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.07.012     Document Type: Article
Times cited : (26)

References (22)
  • 5
    • 0032492107 scopus 로고    scopus 로고
    • Target cell limited and immune control models of HIV infection: A comparison
    • DOI 10.1006/jtbi.1997.0548
    • R. De Boer, and A. Perelson Target cell limited and immune control models of HIV infection: a comparison Journal of Theoretical Biology 190 3 1998 201 214 (Pubitemid 28132653)
    • (1998) Journal of Theoretical Biology , vol.190 , Issue.3 , pp. 201-214
    • De Boer, R.J.1    Perelson, A.S.2
  • 8
    • 79955901344 scopus 로고    scopus 로고
    • Dynamics of an HIV-1 therapy model of fighting a virus with another virus
    • X. Jiang, P. Yu, Z. Yuan, and X. Zou Dynamics of an HIV-1 therapy model of fighting a virus with another virus Journal of Biological Dynamics 3 4 2009 387 409
    • (2009) Journal of Biological Dynamics , vol.3 , Issue.4 , pp. 387-409
    • Jiang, X.1    Yu, P.2    Yuan, Z.3    Zou, X.4
  • 9
    • 68849110444 scopus 로고    scopus 로고
    • Bifurcation analysis of the NowakBangham model in CTL dynamics
    • C. Egami Bifurcation analysis of the NowakBangham model in CTL dynamics Mathematical Biosciences 221 1 2009 33 42
    • (2009) Mathematical Biosciences , vol.221 , Issue.1 , pp. 33-42
    • Egami, C.1
  • 10
    • 22144470181 scopus 로고    scopus 로고
    • Closed-form conditions of bifurcation points for general differential equations
    • DOI 10.1142/S0218127405012582, PII S0218127405012582
    • P. Yu Closed-form conditions of bifurcation points for general differential equations International Journal of Bifurcation and Chaos 15 4 2005 1467 1483 (Pubitemid 40970592)
    • (2005) International Journal of Bifurcation and Chaos in Applied Sciences and Engineering , vol.15 , Issue.4 , pp. 1467-1483
    • Yu, P.1
  • 11
    • 84990581010 scopus 로고
    • Differential equations models for some parasitic infections: Methods for the study of asymptotic behavior
    • W. Hirsch, H. Hanisch, and J. Gabriel Differential equations models for some parasitic infections: methods for the study of asymptotic behavior Communications on Pure and Applied Mathematics 38 1985 733 753
    • (1985) Communications on Pure and Applied Mathematics , vol.38 , pp. 733-753
    • Hirsch, W.1    Hanisch, H.2    Gabriel, J.3
  • 14
    • 3042695365 scopus 로고    scopus 로고
    • Global properties of basic virus dynamics models
    • DOI 10.1016/j.bulm.2004.02.001, PII S0092824004000254
    • A. Korobeinikov Global properties of basic virus dynamics models Bulletin of Mathematical Biology 66 4 2004 879 883 (Pubitemid 38800956)
    • (2004) Bulletin of Mathematical Biology , vol.66 , Issue.4 , pp. 879-883
    • Korobeinikov, A.1
  • 17
    • 0023844605 scopus 로고
    • A perturbation analysis of interactive static and dynamic bifurcations
    • DOI 10.1109/9.358
    • P. Yu, and K. Huseyin A perturbation analysis of interactive static and dynamic bifurcations IEEE Transactions on Automatic Control 33 1 1988 28 41 (Pubitemid 18596175)
    • (1988) IEEE Transactions on Automatic Control , vol.33 , Issue.1 , pp. 28-41
    • Yu, P.1    Huseyin, K.2
  • 18
    • 65549146322 scopus 로고    scopus 로고
    • Oscillatory viral dynamics in a delayed HIV pathogenesis model
    • Y. Wang, Y. Zhou, J. Wu, and J. Heffernan Oscillatory viral dynamics in a delayed HIV pathogenesis model Mathematical Biosciences 219 2 2009 104 112
    • (2009) Mathematical Biosciences , vol.219 , Issue.2 , pp. 104-112
    • Wang, Y.1    Zhou, Y.2    Wu, J.3    Heffernan, J.4
  • 19
    • 0001790023 scopus 로고    scopus 로고
    • Computation of normal forms via a perturbation technique
    • P. Yu Computation of normal forms via a perturbation technique Journal of Sound and Vibration 211 1 1998 19 38 (Pubitemid 128379435)
    • (1998) Journal of Sound and Vibration , vol.211 , Issue.1 , pp. 19-38
    • Yu, P.1
  • 20
    • 0034770430 scopus 로고    scopus 로고
    • Low level viral persistence after infection with LCMV: A quantitative insight through numerical bifurcation analysis
    • DOI 10.1016/S0025-5564(01)00072-4, PII S0025556401000724
    • T. Luzyanina, K. Engelborghs, S. Ehl, P. Klenerman, and G. Bocharov Low level viral persistence after infection with LCMV: a quantitative insight through numerical bifurcation analysis Mathematical Biosciences 0025-5564 173 1 2001 1 23 (Pubitemid 32976805)
    • (2001) Mathematical Biosciences , vol.173 , Issue.1 , pp. 1-23
    • Luzyanina, T.1    Engelborghs, K.2    Ehl, S.3    Klenerman, P.4    Bocharov, G.5
  • 21
    • 33947269807 scopus 로고    scopus 로고
    • Oscillations in the immune system
    • DOI 10.1111/j.1600-065X.2007.00501.x
    • J. Stark, C. Chan, and A. George Oscillations in the immune system Immunological Reviews 1600-065X 216 1 2007 213 231 (Pubitemid 46426521)
    • (2007) Immunological Reviews , vol.216 , Issue.1 , pp. 213-231
    • Stark, J.1    Chan, C.2    George, A.J.T.3
  • 22
    • 1642380503 scopus 로고    scopus 로고
    • A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
    • DOI 10.1007/s00285-002-0191-5
    • R. Culshaw, S. Ruan, and G. Webb A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay Journal of Mathematical Biology 0303-6812 46 5 2003 425 444 (Pubitemid 38370451)
    • (2003) Journal of Mathematical Biology , vol.46 , Issue.5 , pp. 425-444
    • Culshaw, R.V.1    Ruan, S.2    Webb, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.