Mean-field analysis of protein-protein interactions.

Calculations were performed on the D1.3-E5.2 antibody-antibody complex estimating the binding affinities of the wild-type and 16 alanine substitutions. Analyzed were structural models of the interfacial region containing a zinc ion and crystallographic waters. A continuum approach was used to evaluate the electrostatic free energies and the hydrophobic effect was calculated by employing a buried molecular surface area relationship. Estimates of the absolute binding affinity reproduced the experimental value within the uncertainty of assessing entropic and strain energy contributions. The best correlation for mutants with experimental data was achieved when the hydrophilicity of created cavities were considered, and yielded a correlation coefficient of 0.7 and an average error of +/-1.4 kcal/mol. Empirically fitting the free energy function produced a smaller error of +/-1.0 kcal/mol. Depending on the electrical potential and electrostatic reorganization, scaling the 'protein dielectric constant' to approximately 10 may improve the accuracy of continuum models for evaluating amino acid substitutions.