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Volumn 59, Issue 16, 2004, Pages 3433-3440

Cubic autocatalysis with Michaelis-Menten kinetics: Semi-analytical solutions for the reaction-diffusion cell

Author keywords

Cubic autocatalysis; Hopf bifurcations; Michaelis Menten kinetics; Reaction diffusion equations; Semi analytical solutions; Singularity theory

Indexed keywords

BIFURCATION (MATHEMATICS); CATALYSTS; DIFFUSION; ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION;

EID: 3342963366     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2004.05.008     Document Type: Article
Times cited : (16)

References (14)
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    • Instabilities and oscillations in chemical reactions in closed and open systems
    • Gray P. Instabilities and oscillations in chemical reactions in closed and open systems Proceedings of the Royal Society of London A 415 1988 1-34
    • (1988) Proceedings of the Royal Society of London A , vol.415 , pp. 1-34
    • Gray, P.1
  • 7
    • 0020607165 scopus 로고
    • Autocatalytic reactions in the isothermal continuous, stirred tank reactor: Isolas and other forms of multistability
    • Gray P. Scott S.K. Autocatalytic reactions in the isothermal continuous, stirred tank reactor: isolas and other forms of multistability Chemical Engineering Science 38 1983 29-43
    • (1983) Chemical Engineering Science , vol.38 , pp. 29-43
    • Gray, P.1    Scott, S.K.2
  • 8
    • 0021310291 scopus 로고
    • Autocatalytic reactions in the isothermal continuous, stirred tank reactor: Oscillations and instabilities in the system a+2b→ 3b; b→ c
    • Gray P. Scott S.K. Autocatalytic reactions in the isothermal continuous, stirred tank reactor: oscillations and instabilities in the system a+2b→ 3b; b→ c Chemical Engineering Science 39 1984 1087-1097
    • (1984) Chemical Engineering Science , vol.39 , pp. 1087-1097
    • Gray, P.1    Scott, S.K.2
  • 11
    • 0000766588 scopus 로고
    • Multiple stationary states, sustained oscillations and transient behavior in autocatalytic reaction-diffusion equations
    • Kay S.R. Scott S.K. Multiple stationary states, sustained oscillations and transient behavior in autocatalytic reaction-diffusion equations Proceedings of the Royal Society of London A 418 1988 345-364
    • (1988) Proceedings of the Royal Society of London A , vol.418 , pp. 345-364
    • Kay, S.R.1    Scott, S.K.2
  • 12
    • 0031252992 scopus 로고    scopus 로고
    • Analysis of autocatalytic reactions with Michaelis-Menten kinetics in an isothermal continuous stirred tank reactor
    • Kumar J. Nath S. Analysis of autocatalytic reactions with Michaelis-Menten kinetics in an isothermal continuous stirred tank reactor Chemical Engineering Science 52 1997 3455-3462
    • (1997) Chemical Engineering Science , vol.52 , pp. 3455-3462
    • Kumar, J.1    Nath, S.2
  • 13
    • 57249087302 scopus 로고    scopus 로고
    • Cubic autocatalytic reaction-diffusion equations: Semi-analytical solutions
    • Marchant T.R. Cubic autocatalytic reaction-diffusion equations: semi-analytical solutions Proceedings of the Royal Society of London A 458 2002 873-888
    • (2002) Proceedings of the Royal Society of London A , vol.458 , pp. 873-888
    • Marchant, T.R.1
  • 14
    • 0023206644 scopus 로고
    • Isolas, mushrooms and oscillations in isothermal, autocatalytic reaction-diffusion equations
    • Scott S.K. Isolas, mushrooms and oscillations in isothermal, autocatalytic reaction-diffusion equations Chemical Engineering Science 42 1987 307-315l
    • (1987) Chemical Engineering Science , vol.42 , pp. 307-315
    • Scott, S.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.