A billion-fold range in acidity for the solvent-exposed amides of Pyrococcus furiosus rubredoxin

The exchange rates of the static solvent-accessible amide hydrogens of Pyrococcus furiosus rubredoxin range from near the diffusion-limited rate to a billion-fold slower for the non-hydrogen-bonded Val 38 (eubacterial numbering). Hydrogen exchange directly monitors the kinetic acidity of the peptide nitrogen. Electrostatic solvation free energies were calculated by Poisson-Boltzmann methods for the individual peptide anions that form during the hydroxide-catalyzed exchange reaction to examine how well the predicted thermodynamic acidities match the experimentally determined kinetic acidities. With the exception of the Ile 12 amide, the differential exchange rate constant for each solvent-exposed amide proton that is not hydrogen bonded to a backbone carbonyl can be predicted within a factor of 6 (10 (0.78)) root-mean-square deviation (rmsd) using the CHARMM22 electrostatic parameter set and an internal dielectric value of 3. Under equivalent conditions, the PARSE parameter set yields a larger rmsd value of 1.28 pH units, while the AMBER parm99 parameter set resulted in a considerably poorer correlation. Either increasing the internal dielectric value to 4 or reducing it to a value of 2 significantly degrades the quality of the prediction. Assigning the excess charge of the peptide anion equally between the peptide nitrogen and the carbonyl oxygen also reduces the correlation to the experimental data. These continuum electrostatic calculations were further analyzed to characterize the specific structural elements that appear to be responsible for the wide range of peptide acidities observed for these solvent-exposed amides. The striking heterogeneity in the potential at sites along the protein-solvent interface should prove germane to the ongoing challenge of quantifying the contribution that electrostatic interactions make to the catalytic acceleration achieved by enzymes.