General rate equations and their applications for cyclic reaction networks: Pyramidal systems

Chemical Engineering Science

Volumn 58, Issue 8, 2003, Pages 1407-1415

  Chen, Tai Shang ^a   Chern, Jia Ming ^a  

^a TATUNG UNIVERSITY   (Taiwan)

Author keywords

Catalysis; Enzyme; Kinetics; Network reduction; Pyramidal system; Reaction rate

Indexed keywords

CATALYSIS; ENZYMES; GRAPHIC METHODS; MATRIX ALGEBRA;

CYCLIC REACTIONS;

RATE CONSTANTS;

MATHEMATICAL ANALYSIS;

EID: 0037394438     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(02)00678-4     Document Type: Article

References (18)

1. Cha, S. (1968). A simple method for derivation of rate equations for enzyme-catalyzed reactions under the rapid equilibrium assumption or combined assumptions of equilibrium and steady state. Journal of Biological Chemistry, 234, 820-825.
2. Chen, T.-S., & Chern, J.-M. (2002a). General rate equations and their applications for cyclic reaction networks: Multi-cycle systems. Chemical Engineering Science, 57, 457-467.
3. Chen, T.-S., & Chern, J.-M. (2002a). General rate equations and their applications for cyclic reaction networks: Multi-pathway systems. Chemical Engineering Science, 57, 5011-5020.
4. Chern, J.-M. (1988). Diagnostic analysis of complex reaction networks. Report for Ph.D. Comprehensive Examination, Department of Chemical Engineering, Pennsylvania State University.
5. Chern, J.-M. (2000). General rate equations and their applications for cyclic reaction networks: Single-cycle systems. Industrial and Engineering Chemistry Research, 39, 4100-4105.
6. Chern, J.-M., & Helfferich, F. G. (1990). Effective kinetic modeling of multistep homogeneous reactions. A.I.Ch.E. Journal, 36, 1200-1208.
7. Christiansen, J. A. (1953). The elucidation of reaction mechanisms by the method of intermediates in quasi-stationary concentrations. Advances in Catalysis, 6, 331-353.
8. Happel, J., & Sellers, P. H. (1992). Systemization for the King-Altman-Hill diagram method in chemical kinetics. Journal of Physical Chemistry, 96, 2593-2597.
9. Happel, J., & Sellers, P. H. (1995). New perspective on the kinetics of enzyme catalysis. Journal of Physical Chemistry, 99, 6595-6600.
10. Helfferich, F. G. (1989). Systematic approach to elucidation of multistep reaction networks. Journal of Physical Chemistry, 93, 6676-6681.
11. Helfferich, F. G. (2001). Kinetics of homogeneous multistep reactions. Amsterdam: Elsevier.
12. Hill, T. L. (1977). Free Energy Transduction and Biochemical Cycle Kinetics. Berlin: Springer-Verlag.
13. King, E. L., & Altman, C. A. (1956). A Schematic method of deriving the rate laws of enzyme-catalyzed reactions. Journal of Physical Chemistry, 60, 1375-1378.
14. Poland, D. (1989). Use of Hill's cycle diagrams to obtain integrated forms for enzyme catalyzed and membrane transport reactions. Journal of Physical Chemistry, 93, 3613-3624.
15. Segel, I. H. (1975). Enzyme kinetics: Behavior and analysis of rapid equilibrium and steady state enzyme systems. New York: Wiley.
16. Südi, J. (1997). Control analysis of enzyme mechanisms in terms of the classical steady-state description. Biochemica et Biophysica Acta, 1341, 108-136.
17. Temkin, O. N., Bruk, L. G., & Zeigarnik, A. V. (1993). Some aspects of the methodology of mechanistic studies and kinetic modeling of catalytic reactions. Kinetics and Catalysis, 34(3), 445-462.
18. Zeigarnik, A. V., & Temkin, O. N. (1996). A graph-theoretical model of complex reaction mechanisms: A new complexity index for reaction mechanisms. Kinetics and Catalysis, 37(3), 347-360.