Skip to main content
Log in

Kinetic study of an enzyme-catalysed reaction in the presence of novel irreversible-type inhibitors that react with the product of enzymatic catalysis

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

In the present paper a kinetic study is made of the behaviour of a Michaelis-Menten enzyme-catalysed reaction in the presence of irreversible inhibitors rendered unstable in the medium by their reaction with the product of enzymatic catalysis. A general mechanism involving competitive, non-competitive, uncompetitive and mixed irreversible inhibition with one or two steps has been analysed. The differential equation that describes the kinetics of the reaction is non-linear and computer simulations of its dynamic behaviour are presented. The results obtained show that the systems studied here present kinetic co-operativity for a target enzyme that follows the simple Michaelis-Menten mechanism in its action on the substrate, except in the case of an uncompetitive-type inhibitor.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Ainslie, G. R., J. P. Shill and K. E. Neet. 1972. Transients and co-operativity—A slow transition model for relating transients and cooperative kinetic of enzymes.J. biol. Chem. 247, 7088–7096.

    Google Scholar 

  • Ashani, Y., P. Wins and I. B. Wilson. 1972. The inhibition of cholinesterase by diethyl phosphorochloridate.Biochim. Biophys. Acta 284, 427–434.

    Google Scholar 

  • Botts, J. and M. Morales. 1953. Analytical description of the effects of modifiers and of enzyme multivalency upon the steady state catalyzed reaction rate.Trans. Faraday Soc. 49, 696–707.

    Article  Google Scholar 

  • 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 steadystate.J. biol. Chem. 243, 820–825.

    Google Scholar 

  • Dixon, M. and E. C. Webb. 1979.Enzymes, pp. 332–381 London: Longman.

    Google Scholar 

  • Forsberg, A. and G. Puu. 1984. Kinetics for the inhibition of acetylcholinesterase from the electric eel by some organophosphates and carbamates.J. Biochem. 140, 153–156.

    Google Scholar 

  • Garrido-del Solo, C., R. Varón and F. García-Cánovas. 1992. Programa de ordenador para simular el comportamiento cinético de las reacciones enzimáticas.An. Quim. 88, 633–639.

    Google Scholar 

  • Gray, P. J. and R. G. Duggleby. 1989. Analysis of kinetic data for irreversible enzyme inhibition.Biochem. J. 257, 419–424.

    Google Scholar 

  • Leytus, S. P., D. L. Toledo and W. F. Mangel. 1984. Theory and experimental method for determining individual kinetic constants of fast-acting, irreversible proteinase inhibitors.Biochim. Biophys. Acta 788, 74–86.

    Google Scholar 

  • Liu, W. and C. L. Tsou. 1986. Determination of rate constants for the irreversible inhibition of acetylcholine esterase by continuously monitoring the substrate reaction in the presence of the inhibitor.Biochim. Biophys. Acta 870, 185–190.

    Google Scholar 

  • Paquatte, O. and S. C. Tu. 1986. Kinetic analysis of enzyme inactivation by an autodecaying reagent.Biochim. Biophys. Acta 869, 359–362.

    Google Scholar 

  • Plapp, B. V. 1982. Application of affinity labeling for studying structure and functions of enzymes.Meth. Enzym. 87, 469–469.

    Article  Google Scholar 

  • Purdie, J. E. and R. M. Heggie. 1970. The kinetics of the reaction ofN,N-dimethyl-2-phenylaziridinium ion with bovine erythrocyte acetylcholinesterase.Can. J. Biochem. 48, 244–250.

    Article  Google Scholar 

  • Rakitzis, E. T. 1984. Kinetics of protein modification reaction.Biochem. J. 217, 341–351.

    Google Scholar 

  • Shaw, E. 1980.Enzyme Inhibitors as Drug, Sandler (Ed.). London: MacMillan.

    Google Scholar 

  • Teruel, J. A., J. Tudela, F. Fernandez-Belda, F. García-Carmona, J. C. Gómez-Fernández and F. García-Cánovas. 1987. Kinetic characterization of an enzymatic irreversible inhibition measured in the presence of coupling enzymes. The inhibition of adenosine triphosphatase from sarcoplasmic reticulum by fluorescein isothiocyanate.Biochim. Biophys. Acta 911, 256–260.

    Google Scholar 

  • Tian, W. X. and C. L. Tsou. 1982. Determination of the rate constant of enzyme modification by measuring the substrate reaction in the presence of the modifier.Biochemistry 21, 1028–1032.

    Article  Google Scholar 

  • Topham, C. M. 1986. Computer simulations of the kinetics of irreversible enzyme inhibition by an unstable inhibitor.Biochem. J. 240, 817–820.

    Google Scholar 

  • Topham, C. M. 1990. A generalized treatment of the kinetics of an enzyme-catalyzed reaction in the presence of an unstable irreversible modifier.J. theor. Biol. 145, 547–572.

    Article  Google Scholar 

  • Valero, E., R. Varón and F. García-Carmona. 1991. A kinetic study of irreversible inhibition by an inhibitor that is rendered unstable by the enzymatic catalysis. The inhibition of polyphenol oxidase byl-cysteine.Biochem. J. 277, 869–874.

    Google Scholar 

  • Valero, E., R Varón and F. García-Carmona. 1992. Kinetic study of the effect of metabisulfite on polyphenol oxidase.J. Agric. Food Chem. 40, 904–908.

    Article  Google Scholar 

  • Varón, R., B. H. Havsteen, M. García-Moreno, E. Valero and F. García-Cánovas. 1990. Derivation of the transient phase equations of enzyme mechanisms from those of other systems.J. theor. Biol. 143, 251–268.

    Google Scholar 

  • Varón, R., E. Valero, B. H. Havsteen, C. Garrido, J. N. Rodríguez-López. and F. García-Cánovas. 1992. Comments on the kinetic analysis of enzyme reactions involving an unstable irreversible modifier.Biochem. J. 287, 333–334.

    Google Scholar 

  • Varón, R., B. H. Havsteen, E. Valero, C. Garrido, J. N. Rodríguez-López and F. García-Cánovas. 1993. The kinetic of an enzyme catalyzed reaction in the presence of an unstable, irreversible modifier.Int. J. Biochem. 25, 1889–1895.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. Garcia-Carmona.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Navarro-Lozano, M.J., Valero, E., Varon, R. et al. Kinetic study of an enzyme-catalysed reaction in the presence of novel irreversible-type inhibitors that react with the product of enzymatic catalysis. Bltn Mathcal Biology 57, 157–168 (1995). https://doi.org/10.1007/BF02458321

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458321

Keywords

Navigation