Engineers require quantitative models to design and optimize processes. In the food industry, these process models become very complex because of the unique physical/chemical characteristics and variability of the raw material. Furthermore, frequently data describing rates of reactions and/or changes in foods are generated by food scientists who are not thoroughly familiar with reaction models. Analysis of those data to obtain parameters for reaction models thus becomes critical. In this paper, calculating kinetic parameters from experimental data is examined, and suggestions are presented for determining reaction rates and temperature dependence.
The human fragile histidine triad protein Fhit catalyzes the Mg(2+)-dependent hydrolysis of P(1)-5'-O-adenosine-P(3)-5'-O-adenosine triphosphate, Ap(3)A, to AMP and ADP. The reaction is thought to follow a two-step mechanism, in which the complex of Ap(3)A and Mg(2+) reacts in the first step with His96 of the enzyme to form a covalent Fhit-AMP intermediate and release MgADP. In the second step, the intermediate Fhit-AMP undergoes hydrolysis to AMP and Fhit. The mechanism is inspired by the chain-fold similarities of Fhit to galactose-1-phosphate uridylyltransferase, which functions by an analogous mechanism, and the observation of overall retention in configuration at phosphorus in the action of Fhit (Abend, A., Garrison, P. N., Barnes, L. D., and Frey, P. A. (1999) Biochemistry 38, 3668-3676). Direct evidence in support of this mechanism is reported herein. Reaction of Fhit with [8,8'-(3)H]-Ap(3)A and denaturation of the enzyme in the steady state leads to protein-bound tritium corresponding to 11% of the active sites. Similar experiments with the poor substrate MgATP leads to 0.9% labeling. The mutated protein H96G-Fhit is completely inactive against MgAp(3)A. However, it is chemically rescued by free histidine. H96G-Fhit also catalyzes the hydrolysis of adenosine-5'-phosphoimidazolide, AMP-Im, and of adenosine-5'-phospho-N-methylimidazolide, AMP-N-MeIm. The hydrolyses of AMP-Im and of AMP-N-MeIm by H96G-Fhit are thought to represent chemical rescue of the covalent Fhit-AMP intermediate. Wild-type Fhit is also found to catalyze the hydrolyses of AMP-Im and of AMP-N-MeIm nearly as efficiently as the hydrolysis of MgAp(3)A. The results indicate that Mg(2+) in the reaction of Ap(3)A is required for the first step, the formation of the covalent intermediate Fhit-AMP, and not for the hydrolysis of the intermediate in the second step.
The steady-state kinetic parameters for epimerization of UDP-galactose by UDP-galactose 4-epimerase from Escherichia coli (GalE), Y149F-GalE, and S124A-GalE have been measured as a function of pH. The deuterium kinetic isotope effects for epimerization of UDP-galactose-C-d(7) by these enzymes have also been measured. The results show that the activity of wild-type GalE is pH-independent in the pH range of 5.5-9.3, and there is no significant deuterium kinetic isotope effect in the reaction of UDP-galactose-C-d(7). It is concluded that the rate-limiting step for epimerization by wild-type GalE is not hydride transfer and must be either a diffusional process or a conformational change. Epimerization of UDP-galactose-C-d(7) by Y149F-GalE proceeds with a pH-dependent deuterium kinetic isotope effect on k(cat) of 2.2 +/- 0.4 at pH 6.2 and 1.1 +/- 0.5 at pH 8.3. Moreover, the plot of log k(cat)/K(m) breaks downward on the acid side with a fitted value of 7.1 for the pK(a). It is concluded that the break in the pH-rate profile arises from a change in the rate-limiting step from hydride transfer at low pH to a conformational change at high pH. Epimerization of UDP-galactose-C-d(7) by S124A-GalE proceeds with a pH-independent deuterium kinetic isotope effect on k(cat) of 2.0 +/- 0.2 between pH 6 and 9. Both plots of log k(cat) and log k(cat)/K(m) display pH dependence. The plot of log k(cat) versus pH breaks downward with a pK(a) of 6.35 +/- 0.10. The plot of log k(cat)/K(m) versus pH is bell-shaped, with fitted pK(a) values of 6.76 +/- 0.09 and 9.32 +/- 0.21. It is concluded that hydride transfer is rate-limiting, and the pK(a) of 6.7 for free S124A-GalE is assigned to Tyr 149, which displays the same value of pK(a) when measured spectrophotometrically in this variant. Acid-base catalysis by Y149F-GalE is attributed to Ser 124, which is postulated to rescue catalysis of proton transfer in the absence of Tyr 149. The kinetic pK(a) of 7.1 for free Y149F-GalE is lower than that expected for Ser 124, as proven by the pH-dependent kinetic isotope effect. Epimerization by the doubly mutated Y149F/S124A-GalE proceeds at a k(cat) that is lower by a factor of 10(7) than that of wild-type GalE. This low rate is attributed to the synergistic actions of Tyr 149 and Ser 124 in wild-type GalE and to the absence of any internal catalysis of hydride transfer in the doubly mutated enzyme.
A convenient new procedure for purifying galactose-1-phosphate uridylyltransferase from Escherichia coli is described. It departs from earlier methods by introducing the use of a Cibacron Blue-agarose (Bio-Rad Affi-Gel Blue) at an early stage. Purification is completed by ion-exchange chromatography using DEAE-Sephadex A-50. The procedure is substantially shorter than earlier methods and reproducibly yields enzyme of high specific activity suitable for use in structural work such as characterization of the intermediate uridylyl-enzyme. The first step of the galactose-1-P uridylyltransferase reaction is the transfer of the uridylyl group from UDP-glucose to N3 of a histidine residue in the enzyme to form the covalent uridylyl-enzyme and glucose-1-P. The uridylyl-enzyme intermediate then reacts in a second step with galactose-1-P to form UDP-galactose. The enzyme accepts (RP)-UDP alpha S-glucose as a good substrate, converting it to (RP)-UDP alpha S-galactose, i.e., with overall retention of configuration. In this paper we show that reaction of the enzyme with (RP)-[2-14C]UDP alpha S-glucose produces a [2-14C]uridylyl alpha S-enzyme that can be converted by base-catalyzed cyclization to (RP)-[2-14C]cUMPS. Inasmuch as cyclization must have proceeded with inversion of configuration at phosphorus, the corresponding configuration in the intermediate must have been the inverse of that in the substrate. Therefore, formation of uridylyl alpha S-enzyme from (RP)-UDP alpha S-glucose proceeds with inversion of configuration, and overall retention arises from inversion in each of the two steps. The results support the authenticity of the isolated uridylyl-enzyme as the true reaction intermediate.(ABSTRACT TRUNCATED AT 250 WORDS)
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