Orotic acid is decarboxylated with a half-time (t1/2) of 78 million years in neutral aqueous solution at room temperature, as indicated by reactions in quartz tubes at elevated temperatures. Spontaneous hydrolysis of phosphodiester bonds, such as those present in the backbone of DNA, proceeds even more slowly at high temperatures, but the heat of activation is less positive, so that dimethyl phosphate is hydrolyzed with a t1/2 of 130,000 years in neutral solution at room temperature. These values extend the known range of spontaneous rate constants for reactions that are also susceptible to catalysis by enzymes to more than 14 orders of magnitude. Values of the second-order rate constant kcat/Km for the corresponding enzyme reactions are confined to a range of only 600-fold, in contrast. Orotidine 5'-phosphate decarboxylase, an extremely proficient enzyme, enhances the rate of reaction by a factor of 10(17) and is estimated to bind the altered substrate in the transition state with a dissociation constant of less than 5 x 10(-24) M.

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To assess the relative proficiencies of enzymes that catalyze the hydrolysis of internal and C-terminal peptide bonds, the rates of the corresponding nonenzymatic reactions were examined at elevated temperatures in sealed quartz tubes, yielding linear Arrhenius plots. The results indicate that in neutral solution at 25 °C, peptide bonds are hydrolyzed with half-times of approximately 500 years for the C-terminal bond of acetylglycylglycine, 600 years for the internal peptide bond of acetylglycylglycine N-methylamide, and 350 years for the dipeptide glycylglycine. These reactions, insensitive to changing pH or ionic strength, appear to represent uncatalyzed attack by water on the peptide bond. Comparison of rate constants indicates very strong binding of the altered substrate in the transition states for the corresponding enzyme reactions, K tx attaining a value of less than 10-17 M in carboxypeptidase B. The half-life of the N-terminal peptide bond in glycylglycine N-methylamide, whose hydrolysis might have provided a reference for assessing the catalytic proficiency of an aminopeptidase, could not be determined because this compound undergoes relatively rapid intramolecular displacement to form diketopiperazine (t 1/2 ∼ 35 days at pH 7 and 37 °C). The speed of this latter process suggests an evolutionary rationale for posttranslational N-acetylation of proteins in higher organisms, as a protection against rapid degradation.

Peptide bonds interact so strongly with water that even a modest difference between the free energies of solvation of their cis and trans isomers could have a significant bearing on protein structure. However, proton magnetic resonance studies at high dilution in deuteriated solvents show that N-methylformamide exists as the cis isomer to the extent of 8% in water, 10.3% in chloroform, 8.8% in benzene, and 9.2% in cyclohexane. Integrated intensities of proton and carbon resonances show that N-methylacetamide exists as the cis isomer to the extent of only 1.5% in water, not changing much in nonpolar solvents. Quantum mechanical calculations using the 6-31G basis set reproduce these relative abundances with reasonable accuracy and show that there is little difference between the dipole moments of the cis and trans isomers, for either amide. The remarkable insensitivity of cis/trans equilibria to the solvent environment and the heavy preponderance of trans isomers regardless of the polarity of the surroundings (ca. 98.5% for N-methylacetamide, whose properties may resemble those of a typical peptide bond) accord with the overwhelming preference of peptide bonds for the trans configuration that is consistently observed in the three-dimensional structures of globular proteins.

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