Representative Amino Acid Side Chain Interactions in Proteins. A Comparison of Highly Accurate Correlated ab Initio Quantum Chemical and Empirical Potential Procedures

Interactions between amino acid side chains play a crucial role both within a folded protein and between the interacting protein molecules. Here we have selected a representative set of 24 of the 400 (20 x 20) possible interacting side chain pairs based on data from Atlas of Protein Side-Chain Interactions. For each pair, we obtained its most favorable interaction geometry from the structural data and computed the interaction energy in the gas phase using several different, commonly used, ab initio and force field methods, namely Moller-Plesset perturbation theory (MP2), density functional theory combined with symmetry-adapted perturbation theory (DFT-SAPT), density functional theory empirically augmented with an empirical dispersion term (DFT-D), and empirical potentials using the OPLS-AA/L and Amber03 force fields. All the methods were compared against a reference method taken to be the CCSD(T) level of theory extrapolated to the complete basis set limit. We found a high degree of agreement between the different methods, even though the range of binding energies obtained was extremely large. The most computationally intensive methods yielded the best results. Among the less computationally time-consuming methods, the DFT-D method as well as parm03 force field provided consistently good results when compared to the reference values. We also tested how representative the chosen geometries of the side chains were and investigated the effect on the binding energies of the dielectric constant of the surrounding medium.