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Biophysical Chemistry
Volume 128, Issues 2-3, July 2007, Pages 204-209
 
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doi:10.1016/j.bpc.2007.04.004    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier B.V. All rights reserved.

Two different ways that hydrogen ions are involved in the thermodynamics and rapid-equilibrium kinetics of the enzymatic catalysis of Sdouble bond; length as m-dashP and S + H2Odouble bond; length as m-dashP

Robert A. AlbertyCorresponding Author Contact Information, a, E-mail The Corresponding Author

aDepartment of Chemistry, Massachusetts Institute of Technology, Room 6-215, 77 Mass. Ave., Cambridge, MA 02139, United States

Received 16 March 2007; 
revised 17 April 2007; 
accepted 17 April 2007. 
Available online 22 April 2007.

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Abstract

Hydrogen ions are involved in two different ways in the thermodynamics and rapid-equilibrium kinetics of enzyme-catalyzed reactions. The two ways are through pKs and through the production or consumption of hydrogen ions in the mechanism. These ways are examined for the catalyzed reactions Sdouble bond; length as m-dashP and S + H2Odouble bond; length as m-dashP. Since the apparent equilibrium constant K′ can be calculated from the kinetic parameters by use of the Haldane equation, the treatment of the effects of pH must be consistent in thermodynamics and kinetics. This leads to a new kind of Haldane equation that involves 10pH or 10− pH in addition to the kinetic parameters when hydrogen ions are produced or consumed. These concepts are applicable to more complicated reactions and rate equations. Derivations of equations for calculating these two types of pH effects are discussed in thermodynamics and rapid-equilibrium kinetics. A computer program is used to make four plots of apparent equilibrium constants and changes in the binding of hydrogen ions in the catalyzed reaction.

Keywords: Apparent equilibrium constants; Enzyme kinetics; Rate equations; pH effects in kinetics; Haldane equations

Article Outline

1. Introduction
2. Thermodynamics of three possible mechanisms for the uncatalyzed reaction Sdouble bond; length as m-dashP
3. Thermodynamics of mechanism (1) in which hydrogen ions are produced in the rate-determining step
4. Rapid-equilibrium rate equation for the enzymatic catalysis of Sdouble bond; length as m-dashP
5. Kinetics of the enzymatic catalysis of Sdouble bond; length as m-dashP when a hydrogen ion is produced in the rate-determining step
6. Discussion
Acknowledgements
Appendix A. Appendix
References





 
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