Derivation of enzymatic rate equations using symbolic software

Biocatalysis and Biotransformation

Volumn 15, Issue 1, 1997, Pages 29-37

  Straathof, A J J ^a   Heijnen, J J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Enzyme kinetics; King Altman method; Rate equations; Symbolic software

Indexed keywords

ENZYME;

ARTICLE; COMPUTER PROGRAM; ENZYME KINETICS; ENZYME MECHANISM;

EID: 0031462039     PISSN: 10242422     EISSN: None     Source Type: Journal    
DOI: 10.3109/10242429709003608     Document Type: Article

References (23)

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 or steady state. J. Biol. Chem., 243, 820-825
2. Chou, K.C. and Forsen, S. (1981) Graphical rules of steady-state reaction systems. Can. J. Chem., 59, 737-755
3. Cleland, W.W (1963) The kinetics of enzyme-catalyzed reactions with two or more substrates or products. Biochim. Biophys. Acta, 67, 104-137.
4. Cornish-Bowden, A (1977) An automated method for deriving steady-state rate equations Biochem. J., 165, 55-59
5. Cornish-Bowden, A. (1995) Fundamentals of Enzyme Kinetics, revised edition, Portland Press, Colchester.
6. Fisher, D.D. and Schulz, A.R. (1969) Connection matrix representation of enzyme reaction sequences. Math. Biosci., 4, 189-200.
7. Geerlof, A., Jongejan, J.A., Duine, J.A., Rakels, J.L.L., Straathof, A.J.J. and Heijnen, J J. (1994) Description of the kinetic mechanism and the enantioselectivity of quinohaemoprotein alcohol dehydrogenase from Comamonas testosterom in the oxidation of alcohols and aldehydes Eur. J Biochem., 226, 537-546
8. Halvorson, H R (1992) Programs for symbolic mathematics in biochemistry. Meth. Enzymol., 210, 601-610.
9. Hurst, R.O. (1967) A simplified approach to the use of determinants in the calculation of the rate equation for a complex enzyme system. Can. J. Biochem., 45, 2015-2039.
10. Hurst, R.O (1969) A computer program for writing the steady-state rate equation for a multisubstrate enzymic reaction. Can. J. Biochem., 47, 941-944.
11. Indge, K.J. and Childs, R.E (1976) A new method for deriving steady-state rate equations suitable for manual or computer use Biochem J., 155, 567-570.
12. King, E.L. and Altman, C. (1956) A schematic method of deriving the rate laws for enzyme-catalyzed reactions. J. Phys Chem., 60, 1375-1378.
13. Michaelis, L. and Menten, M.L. (1913) Die Kinetik der Invertinwirkung. Biochem. Z., 49, 333-369.
14. Rhoads, D.G. and Pring, M. (1968) The simulation and analysis by digital computer of biochemical systems in terms of kinetic models J. Theor, Biol., 20, 297-313.
15. Rudolph, F.B and Fromm, H.J. (1971) Use of isotope competition and alternative substrates for studying the kinetic mechanism of enzyme action. Arch. Biochem. Biophys., 147, 515-526.
16. Seshagiri, N. (1972) Chart method for the analysis of enzyme kinetic data. J. Theor. Biol., 34, 469-486.
17. Straathof, A.J.J. and Heijnen, J.J. (1996) New constraints between kinetic parameters explain the (un)identifiability of enzymatic rate constants. Biotechnol Bioeng., 52, 433-437.
18. Straathof, A.J.J., Rakels, J.L.L. and Heijnen, J J. (1992) Kinetics of the enzymatic resolution of racemic compounds in bi - bi reactions. Biocatalysis, 7, 13-27.
19. Vanrolleghem, P.A., Heijnen, J.J., de Jong-Gubbels, P., Pronk, J.T. and van Dijken, J P. (1996) Validation of a metabolic network for Saccharomyces cerevisiae using mixed substrate studies. Biotechnology Progress, 12, 434-448
20. Van Tol, J B.A., Jongejan, J.A and Duine, J.A. (1995) Description of hydrolase-activity must be based on the actual kinetic mechanism: Analysis of the kinetic resolution of glycidyl (2,3-epoxy-1-propyl) butyrate by pig pancreas lipase. Biocat Biotransf., 12, 99-117.
21. Volkenstein, M.V. and Goldstein. B.N. (1966) A new method for solving the problems of the stationary kinetics of enzymological reactions. Biochim. Biophys. Acta, 115, 471-477.
22. Whitehead, E.P. (1979) The structure of steady-state enzyme kinetic equations: A graph theoretical algorithm for obtaining conditions for reduction in degree by common-factor cancellation. J. Theor. Biol., 80, 355-381.
23. Zhou, G.P. and Deng, M.H. (1984) An extension of Chou's graphic rules for deriving enzyme kinetic equations to systems involving parallel reaction pathways Biochem. J. 222, 169-176.