Probing the Accuracy of Explicit Solvent Constant pH Molecular Dynamics Simulations for Peptides.

Protonation states of titratable amino acids play a key role in many biomolecular processes. Knowledge of protonatable residue charges at a given pH is essential for a correct understanding of protein catalysis, inter- and intramolecular interactions, substrate binding, and protein dynamics for instance. However, acquiring experimental values for individual amino acid protonation states of complex systems is not straightforward; therefore, several in silico approaches have been developed to tackle this issue. In this work, we assess the accuracy of our previously developed constant pH MD approach by comparing our theoretically obtained pKa values for titratable residues with experimental values from an equivalent NMR study. We selected a set of four pentapeptides, of adequately small size to ensure comprehensive sampling, but concurrently, due to their charge composition, posing a challenge for protonation state calculation. The comparison of the pKa values shows good agreement of the experimental and the theoretical approach with a largest difference of 0.25 pKa units. Further, the corresponding titration curves are in fair agreement, although the shift of the Hill coefficient from a value of 1 was not always reproduced in simulations. The phase space overlap in Cartesian space between trajectories generated in constant pH and standard MD simulations is fair and suggests that our constant pH MD approach reasonably well preserves the dynamics of the system, allowing dynamic protonation MD simulations without introducing structural artifacts.

Accurate Three States Model for Amino Acids with Two Chemically Coupled Titrating Sites in Explicit Solvent Atomistic Constant pH Simulations and pK(a) Calculations.

Correct protonation of titratable groups in biomolecules is crucial for their accurate description by molecular dynamics simulations. In the context of constant pH simulations, an additional protonation degree of freedom is introduced for each titratable site, allowing the protonation state to change dynamically with changing structure or electrostatics. Here, we extend previous approaches for an accurate description of chemically coupled titrating sites. A second reaction coordinate is used to switch between two tautomeric states of an amino acid with chemically coupled titratable sites, such as aspartate (Asp), glutamate (Glu), and histidine (His). To this aim, we test a scheme involving three protonation states. To facilitate charge neutrality as required for periodic boundary conditions and Particle Mesh Ewald (PME) electrostatics, titration of each respective amino acid is coupled to a "water" molecule that is charged in the opposite direction. Additionally, a force field modification for Amber99sb is introduced and tested for the description of carboxyl group protonation. Our three states model is tested by titration simulations of Asp, Glu, and His, yielding a good agreement, reproducing the correct geometry of the groups in their different protonation forms. We further show that the ion concentration change due to the neutralizing "water" molecules does not significantly affect the protonation free energies of the titratable groups, suggesting that the three states model provides a good description of biomolecular dynamics at constant pH.