메뉴 건너뛰기




Volumn 13, Issue 2, 2008, Pages 235-242

Hopf bifurcation in a DDE model of gene expression

Author keywords

DDE; Delay; Gene transcription; Hopf bifurcation

Indexed keywords

APPROXIMATION THEORY; HOPF BIFURCATION; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; TIME DELAY;

EID: 34548070516     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2006.05.001     Document Type: Article
Times cited : (75)

References (6)
  • 1
    • 38249027114 scopus 로고
    • Genetic control models with diffusion and delays
    • Mahaffy J.M. Genetic control models with diffusion and delays. Math Biosci 90 (1988) 519-533
    • (1988) Math Biosci , vol.90 , pp. 519-533
    • Mahaffy, J.M.1
  • 2
    • 0026487626 scopus 로고
    • Oscillations in a model of repression with external control
    • Mahaffy J.M., Jorgensen D.A., and Vanderheyden R.L. Oscillations in a model of repression with external control. J Math Biol 30 (1992) 669-691
    • (1992) J Math Biol , vol.30 , pp. 669-691
    • Mahaffy, J.M.1    Jorgensen, D.A.2    Vanderheyden, R.L.3
  • 3
    • 28344455163 scopus 로고    scopus 로고
    • Approximation of delays in biochemical systems
    • Mocek W.T., Rudbicki R., and Voit E.O. Approximation of delays in biochemical systems. Math Biosci 198 (2005) 190-216
    • (2005) Math Biosci , vol.198 , pp. 190-216
    • Mocek, W.T.1    Rudbicki, R.2    Voit, E.O.3
  • 4
    • 0043180477 scopus 로고    scopus 로고
    • Oscillatory expression of Hes1, p53, and NF-κB driven by transcriptional time delays
    • Monk N.A.M. Oscillatory expression of Hes1, p53, and NF-κB driven by transcriptional time delays. Curr Biol 13 (2003) 1409-1413
    • (2003) Curr Biol , vol.13 , pp. 1409-1413
    • Monk, N.A.M.1
  • 5
    • 85196180428 scopus 로고    scopus 로고
    • Rand RH. Lecture notes on nonlinear vibrations (version 52). Available from: http://www.tam.cornell.edu/randdocs/nlvibe52.pdf (2005).
  • 6
    • 85196166362 scopus 로고    scopus 로고
    • Rand R, Verdugo A. Hopf bifurcation formula for first order differential-delay equations. Commun Nonlinear Sci Numer Simul, in press, doi:10.1016/j.cnsns.2005.08.005.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.