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Volumn 32, Issue 8, 2008, Pages 1587-1598

Comparison of the bifurcation curves of a two-variable and a three-variable circadian rhythm model

Author keywords

Circadian rhythm model; Hopf bifurcation; Parametric representation method; Saddle node bifurcation; Takens Bogdanov bifurcation

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; PARAMETERIZATION;

EID: 41949132407     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2007.03.013     Document Type: Article
Times cited : (6)

References (5)
  • 1
    • 0031990984 scopus 로고    scopus 로고
    • A model for circadian rhythms in Drosophilia incorporating the formation of a complex between PER and TIM proteins
    • Leloup J.-C., and Goldbeter A. A model for circadian rhythms in Drosophilia incorporating the formation of a complex between PER and TIM proteins. J. Biol. Rhythms 13 (1998) 70-87
    • (1998) J. Biol. Rhythms , vol.13 , pp. 70-87
    • Leloup, J.-C.1    Goldbeter, A.2
  • 2
    • 0032758081 scopus 로고    scopus 로고
    • A simple model of circadian rhythms based on dimerization and proteolysis of PER and TIM
    • Tyson J.J., Hong C.I., Thron C.D., and Novak B. A simple model of circadian rhythms based on dimerization and proteolysis of PER and TIM. Biophys. J. 77 (1999) 2411-2417
    • (1999) Biophys. J. , vol.77 , pp. 2411-2417
    • Tyson, J.J.1    Hong, C.I.2    Thron, C.D.3    Novak, B.4
  • 3
    • 33645696277 scopus 로고    scopus 로고
    • Detailed study of limit cycles and global bifurcation diagrams in a circadian rhythm model
    • Simon P.L., and Volford A. Detailed study of limit cycles and global bifurcation diagrams in a circadian rhythm model. Int. J. Bifurc. Chaos 16 (2006) 349-367
    • (2006) Int. J. Bifurc. Chaos , vol.16 , pp. 349-367
    • Simon, P.L.1    Volford, A.2
  • 4
    • 0032599417 scopus 로고    scopus 로고
    • Constructing global bifurcation diagrams by the parametric representation method
    • Simon P.L., Farkas H., and Wittmann M. Constructing global bifurcation diagrams by the parametric representation method. J. Comp. Appl. Math. 108 (1999) 157-176
    • (1999) J. Comp. Appl. Math. , vol.108 , pp. 157-176
    • Simon, P.L.1    Farkas, H.2    Wittmann, M.3
  • 5
    • 0035539375 scopus 로고    scopus 로고
    • Relationships between the discriminant curve and other bifurcation diagrams
    • Simon P.L., Hild E., and Farkas H. Relationships between the discriminant curve and other bifurcation diagrams. J. Math. Chem. 29 (2001) 245-265
    • (2001) J. Math. Chem. , vol.29 , pp. 245-265
    • Simon, P.L.1    Hild, E.2    Farkas, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.