On the origin of the lactate dehydrogenase induced rate effect

To evaluate the ability of lactate dehydrogenase to facilitate the bond making/breaking steps for both the addition of pyruvate enol to NAD (pyruvate adduct reaction) and the normal redox reaction, the ability of the enzyme to facilitate the tautomerization of bound pyruvate is assessed. In addition, the equilibrium constants for the adduct reaction are obtained for both bound and free reactants from the ratio of the rate constants in the forward and reverse reactions (at pH 7). The latter comparison indicates that the enzyme facilitates bond making/breaking in the (forward) pyruvate adduct reaction by a factor of about 10(11) M. Similar comparisons suggest that reactant immobilization accounts for about 1000 M of this 10(11) M rate effect. Since the (pH-independent) rate constant for the ketonization of bound pyruvate enol assisted by the external buffer, imidazolium ion, is 2 X 10(7) M-1 s-1 and the corresponding rate constant for free pyruvate enol, again assisted by imidazolium ion, is 35 M-1 s-1 [Burger, J. W., II, & Ray, W. J., Jr. (1978) Biochemistry 17, 1664], the enzyme facilitates the bond making/breaking steps associated with the conversion of bound HO-C less than to bound O = C less than by a factor of about 10(6)-fold. The product of the above two rate enhancement factors and the rate factor suggested previously for the environmental effect on NAD produced by its binding to lactate dehydrogenase, 100-fold, is 10(11) M, and it accounts for the bond making/breaking effects exerted by the enzyme in the pyruvate adduct reaction. The rate constant for oxidation of ethanol (a model for lactate) by 1-methylnicotinamide (a model for NAD) is about 5 X 10(-12) M-1 s-1 at 25 degrees C in pure ethanol (delta H for this reaction is about 30 kcal/mol). The ratio of the rate constants for E X NAD X Lac----E X NADH X Pyr and the above model reaction is estimated as about 10(14) M in water; i.e., the LDH-induced rate effect is about 10(14) M. The product of the values for the above rate factors for the normal redox reaction is about 10(12) M. Although the value of this product is less certain than that for the adduct reaction, these rate factors do account for much of the LDH-induced rate effect.