Generalized Theoretical and Practical Treatment of the Kinetics of an Enzyme-Catalyzed Reaction in the Presence of an Enzyme Equimolar Irreversible Inhibitor

Journal of Chemical Information and Computer Sciences

Volumn 43, Issue 5, 2003, Pages 1486-1493

  Goličnik, Marko ^a   Stojan, Jure ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

REACTANTS;

ALGORITHMS; ENZYME INHIBITION; RATE CONSTANTS; STOICHIOMETRY;

ENZYME KINETICS;

ENZYME; ENZYME INHIBITOR;

ALGORITHM; ARTICLE; CATALYSIS; CHEMICAL MODEL; CHEMISTRY; COMPARATIVE STUDY; COMPUTER SIMULATION; KINETICS; METABOLISM;

ALGORITHMS; CATALYSIS; COMPUTER SIMULATION; ENZYME INHIBITORS; ENZYMES; KINETICS; MODELS, CHEMICAL;

EID: 0141959705     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci0304021     Document Type: Article

References (30)

1. Michaelis, L.; Menten, M. L. Die kinetik der invertinwirkung. Biochem. Z. 1913, 49, 333-369.
2. Fersht A. In Structure and Mechanism in Protein Science; Freeman: New York, 1999.
3. Segel I. H. In Enzyme Kinetics; Wiley-Interscience: New York, 1993.
4. Lineweaver, H.; Burk, D. The determination of enzyme dissociation constants. J. Am. Chem. Soc. 1934, 56, 558-566.
5. Orsi, B. A.; Tipton, K. F. Kinetic Analysis of Progress Curves. Methods Enzymol. 1979, 63, 159-183.
6. Duggleby, R. G. Analysis of Enzyme Progress Curves by Nonlinear Regression. Methods Enzymol. 1995, 249, 61-90.
7. Duggleby, R. G.; Morrison, J. F. Progress curve analysis in enzyme kinetics model discrimination and parameter estimation. Biochim. Biophys. Acta 1978, 520, 398-409.
8. Marcus, M.; Plesser, T. In Kinetic Data Analysis; Endrenyi, L., Ed.; Plenum Publishing: New York, 1981; pp 317-339.
9. Laidler, K.; Bunting, J. In The Chemical Kinetics of Enzyme Action; Calderon Press: Oxford, 1973; pp 163-180.
10. Goudar, C. T.; Sonnad, J. R.; Duggleby, R. G. Parameter Estimation Using a Direct Solution of the Integrated Michaelis-Menten Equation. Biochim. Biophys. Acta 1999, 1429, 377-383.
11. Stojan, J.; Pavlič, M. R. On the inhibition of cholinesterase by D-tubocurarine. Biochim. Biophys. Acta 1991, 1079, 96-102.
12. Goličnik, M.; Stojan, J. Transient kinetic approach to the study of acetylcholinesterase reversible inhibition by eseroline. J. Enzym. Inhib. Med. Chem. 2002, 17, 279-285.
13. Morrison, J. F.; Walsh, C. T. The behaviour and significance of slow binding enzyme inhibitors. Adv. Enzymol. 1988, 61, 201-301.
14. Goličnik, M.; Stojan, J. Multistep analysis as a tool for kinetic parameter estimation and mechanism discrimination in the reaction between tight-binding fasciculin2 and electric eel acetylcholinesterase. Biochim. Biophys. Acta 2002, 1597, 164-172.
15. Goličnik, M. On a nonelementary progress curve equation and its application in enzyme kinetics. J. Chem. Inf. Comput. Sci. 2002, 42, 157-161.
16. Briggs, G. E.; Haldane J. B. S. A note on the kinetics of enzyme action. Biochem. J. 1925, 19, 338-339.
17. Duggleby, R. G. Quantitative analysis of the time courses of enzymecatalysed reactions. Methods 2001, 24, 168-174.
18. Erdelyi, A.; Magnus, W.; Oberhettinger, F.; Tricomi, F. G. In Higher Transcendental Functions; McGraw-Hill: New York, 1953; p 1.
19. Abramowitz, M.; Stegun, I. A. In Handbook of Mathematical Functions; National Bureau of Standards, Dover Public: New York, 1970; pp 556-565.
20. Press: W. H.; Teukolsky, S. A.; Vetterling, W. T.; Flannery, B. P. In Numerical Recipes in C; Cambridge University Press: Cambridge, 1992; pp 208-211, 271-273.
21. Jeandel, E. Évalution rapide de fonctions hypergéométriques. Rapport technique INRIA 2000, no. 0242.
22. Karatsuba, E. A. Fast evaluation of transcendental functions. Problemy Peredachi Informatsii 1991, 24, 76-99.
23. Karatsuba, E. A. Fast evaluation of hypergeometric function by FEE. In Computational Methods and Function Theory; Papamichael, N., Ruscheweyh, S., Saff, E. B., Eds.; World Scientific Publishing: London, 1999; pp 303-314.
24. Karatsuba, E. A. Fast computation of some special integrals of mathematical physics. In Scientific Computing, Validated Numerics, Interval Methods; Krämer, Von Gudenberg, W., Eds.; Kluwer Academic/Plenum Publishers: New York, 2001; pp 29-40.
25. Forrey, R. C. Computing the hypergeometric function. J. Comput. Phys. 1997, 137, 79-100.
26. http://www.functions.wolfram.com.
27. Wolfram, S. In Mathematica; Addison-Wesley Publishing Company: New York, 1993; p 106.
28. Duggleby, R. G. Regression Analysis of Nonlinear Arrhenius Plots: an Empirical Model and a Computer Program. Comput. Biol. Med. 1984, 14, 447-455.
29. Stojan, J. Analysis of Progress Curves in an Acetylcholinesterase Reaction: A Numerical Integration Treatment. J. Chem. Inf. Comput. Sci. 1997, 37, 1025-1027.
30. Bader, G.; Deuflhard, P. A. A Semiimplicit Mid-Point Rule for Stiff Systems of Ordinary Differential Equations. Num. Math. 1983, 41, 373-398.