The role of the concentration scale in the definition of transfer free energies.

The Gibbs free energy of transferring a solute at infinite dilution between two solvents quantifies differences in solute-solvent interactions - if the transfer takes place at constant molarity of the solute. Yet, many calculation formulae and measuring instructions that are commonly used to quantify solute-solvent interactions correspond to transfer processes in which not the molarity of the solute but its concentration measured in another concentration scale is constant. Here, we demonstrate that in this case, not only the change in solute-solvent interactions is quantified but also the entropic effect of a volume change during the transfer. Consequently, the "phenomenon" which is known as "concentration-scale dependence" of transfer free energies is simply explained by a volume-entropy effect. Our explanations are of high importance for the study of cosolvent effects on protein stability.

Relationship between nonlinear pressure-induced chemical shift changes and thermodynamic parameters.

NMR chemical shift analysis is a powerful method to investigate local changes in the environment of the observed nuclear spin of a polypeptide that are induced by application of high hydrostatic pressure. Usually, in the fast exchange regime, the pressure dependence of chemical shifts is analyzed by a second order Taylor expansion providing the first- and second-order pressure coefficient B1 and B2. The coefficients then are interpreted in a qualitative manner. We show here that in a two-state model, the ratio of B2/B1 is related to thermodynamic parameters, namely the ratio of the difference of compressibility factors Δß' and partial molar volumes ΔV. The analysis is applied to the random-coil model peptides Ac-Gly-Gly-Xxx-Ala-NH2, with Xxx being one of the 20 proteinogenic amino acids. The analysis gives an average Δß'/ΔV ratio of 1.6 GPa(-1) provided the condition |ΔG(0)| ≪ 2RT holds for the difference of the Gibbs free energies (ΔG(0)) of the two states at the temperature (T0) and the pressure (p0). The amide proton and nitrogen B2/B1 of a given amino acid Xxx are strongly correlated, indicating that their pressure-dependent chemical shift changes are due to the same thermodynamic process. As a possible physical mechanism providing a two-state model, the hydrogen bonding of water with the corresponding amide protein was simulated for isoleucine in position Xxx. The obtained free energy could satisfy the relation |ΔG(0)| ≪ 2RT. The derived relation was applied to the ß-amyloid peptide Aß and the phosphocarrier protein HPr from S. carnosus. For the transition of state 1 to state 2' of Aß, the derived relation of B2/B1 to Δß'/ΔV can be confirmed experimentally. The HPr protein is characterized by substantially higher negative B2/B1 values than those found in the tetrapeptides with an average value of approximately -5.1 GPa(-1) (Δß'/ΔV of 5.1 GPa(-1) provided |ΔG(0)| ≪ 2RT holds). Qualitatively, the B2/B1 ratio can be used to predict regions of the HPr protein involved in the interaction with enzyme I or HPr-kinase/phosphatase.

Unified description of urea denaturation: backbone and side chains contribute equally in the transfer model.

After studying protein denaturation by urea for many decades, conflicting views of the role of the side chains and the backbone have emerged; many results suggest that urea denatures by enhancing the solubility of both the side chains and the backbone, but the frequently applied transfer model (TM) so far ascribes denaturation exclusively to urea's action on the backbone. We use molecular dynamics simulations to rigorously test one of the TM's key assumptions, the proportionality of a molecule's transfer free energy (TFE) and its solvent-accessible surface. The performance of the TM as it is usually implemented turns out to be unsatisfactory, but the proportionality is satisfied very well after an inconsistency in the treatment of the backbone contribution is corrected. This inconsistency has so far gone unnoticed as it was obscured by a compensating error in the side-chain group TFEs used so far. The revised "universal backbone" TM presented in this work shows excellent accuracy in the prediction of experimental m values of a set of 36 proteins. It also settles the conflicting views regarding the role of the side chains because it predicts that both the side chains and the backbone on average contribute favorably to denaturation by urea.

Nuclear inelastic scattering and Mössbauer spectroscopy as local probes for ligand binding modes and electronic properties in proteins: vibrational behavior of a ferriheme center inside a ß-barrel protein.

In this work, we present a study of the influence of the protein matrix on its ability to tune the binding of small ligands such as NO, cyanide (CN(-)), and histamine to the ferric heme iron center in the NO-storage and -transport protein Nitrophorin 2 (NP2) from the salivary glands of the blood-sucking insect Rhodnius prolixus. Conventional Mössbauer spectroscopy shows a diamagnetic ground state of the NP2-NO complex and Type I and II electronic ground states of the NP2-CN(-) and NP2-histamine complex, respectively. The change in the vibrational signature of the protein upon ligand binding has been monitored by Nuclear Inelastic Scattering (NIS), also called Nuclear Resonant Vibrational Spectroscopy (NRVS). The NIS data thus obtained have also been calculated by quantum mechanical (QM) density functional theory (DFT) coupled with molecular mechanics (MM) methods. The calculations presented here show that the heme ruffling in NP2 is a consequence of the interaction with the protein matrix. Structure optimizations of the heme and its ligands with DFT retain the characteristic saddling and ruffling only if the protein matrix is taken into account. Furthermore, simulations of the NIS data by QM/MM calculations suggest that the pH dependence of the binding of NO, but not of CN(-) and histamine, might be a consequence of the protonation state of the heme carboxyls.