Haldane relationship derivation

These relationships are identical to Haldane relationships, but unlike the latter, their validity does not derive from a proposed reaction scheme, but merely from the observed hyperbolic dependence of transport rates upon substrate concentration. Krupka showed that these relationships were not obeyed by the set of data previously used by Lieb [64] to reject the simple asymmetric carrier model for glucose transport. Such data therefore cannot be used either to confirm or refute the model. 

As in any other chemical reaction, there is a relationship between the rate constants for forward and reverse enzyme-catalyzed reactions and the equilibrium constant. This relationship, first derived by the British kineticist J. B. S. Haldane and proposed in his book Enzymes41 in 1930, is known as the Haldane relationship. It is obtained by setting v( = vr for the condition that product and substrate concentrations are those at equilibrium. For a single substrate-single product system it is given by Eq. 9-42. 

All reactions are to some degree reversible, and many enzyme-catalysed reactions can take place in either direction inside a cell. It is therefore interesting to compare the forward and back reactions, especially when the reaction approaches equilibrium, as in an enzyme reactor. Haldane derived a relationship between the kinetic and equilibrium constants. The derivation of the relationship is shown in Appendix 5.4. 

Haldane derived a useful relationship between the kinetic constants and the equilibrium constant of the reaction. At constant enzyme concentration and at equilibrium, the rate of the forward reaction equals the rate of the back reaction. Under these conditions, from Scheme 2 ... 

Michaelis and Menten, and later Briggs and Haldane, used the scheme shown in Equation II-4 to derive a mathematical expression that describes the relation between initial velocity and substrate concentration. (Consult a biochemistry textbook for the step-by-step derivation of this relationship, because it is important to be aware of the assump-... 

This relationship can be derived As Briggs and Haldane first contrived The unbound enzyme, [ ], we guess Is Eo (total), less [AA]. 

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