E Bertrand García-Moreno

High Apparent Dielectric Constants in the Interior of a Protein Reflect Water Penetration

A glutamic acid was buried in the hydrophobic core of staphylococcal nuclease by replacement of Val-66. Its pK(a) was measured with equilibrium thermodynamic methods. It was 4.3 units higher than the pK(a) of Glu in water. This increase was comparable to the DeltapK(a) of 4.9 units measured previously for a lysine buried at the same location. According to the Born formalism these DeltapK(a) are energetically equivalent to the transfer of a charged group from water to a medium of dielectric constant of 12. In contrast, the static dielectric constants of dry protein powders range from 2 to 4. In the crystallographic structure of the V66E mutant, a chain of water molecules was seen that hydrates the buried Glu-66 and links it with bulk solvent. The buried water molecules have never previously been detected in >20 structures of nuclease. The structure and the measured energetics constitute compelling and unprecedented experimental evidence that solvent penetration can contribute significantly to the high apparent polarizability inside proteins. To improve structure-based calculations of electrostatic effects with continuum methods, it will be necessary to learn to account quantitatively for the contributions by solvent penetration to dielectric effects in the protein interior.

Large shifts in pKa values of lysine residues buried inside a protein

Internal ionizable groups in proteins are relatively rare but they are essential for catalysis and energy transduction. To examine molecular determinants of their unusual and functionally important properties, we engineered 25 variants of staphylococcal nuclease with lysine residues at internal positions. Nineteen of the Lys residues have depressed pKa values, some as low as 5.3, and 20 titrate without triggering any detectable conformational reorganization. Apparently, simply by being buried in the protein interior, these Lys residues acquired pKa values comparable to those of naturally occurring internal ionizable groups involved in catalysis and biological H+ transport. The pKa values of some of the internal Lys residues were affected by interactions with surface carboxylic groups. The apparent polarizability reported by the pKa values varied significantly from location to location inside the protein. These data will enable an unprecedented examination of the positional dependence of the dielectric response of a protein. This study also shows that the ability of proteins to withstand the presence of charges in their hydrophobic interior is a fundamental property inherent to all stable proteins, not a specialized adaptation unique to proteins that evolved to depend on internal charges for function.

Cavities determine the pressure unfolding of proteins

It has been known for nearly 100 years that pressure unfolds proteins, yet the physical basis of this effect is not understood. Unfolding by pressure implies that the molar volume of the unfolded state of a protein is smaller than that of the folded state. This decrease in volume has been proposed to arise from differences between the density of bulk water and water associated with the protein, from pressure-dependent changes in the structure of bulk water, from the loss of internal cavities in the folded states of proteins, or from some combination of these three factors. Here, using 10 cavity-containing variants of staphylococcal nuclease, we demonstrate that pressure unfolds proteins primarily as a result of cavities that are present in the folded state and absent in the unfolded one. High-pressure NMR spectroscopy and simulations constrained by the NMR data were used to describe structural and energetic details of the folding landscape of staphylococcal nuclease that are usually inaccessible with existing experimental approaches using harsher denaturants. Besides solving a 100-year-old conundrum concerning the detailed structural origins of pressure unfolding of proteins, these studies illustrate the promise of pressure perturbation as a unique tool for examining the roles of packing, conformational fluctuations, and water penetration as determinants of solution properties of proteins, and for detecting folding intermediates and other structural details of protein-folding landscapes that are invisible to standard experimental approaches.

Experimental pKa Values of Buried Residues: Analysis with Continuum Methods and Role of Water Penetration

Lys-66 and Glu-66, buried in the hydrophobic interior of staphylococcal nuclease by mutagenesis, titrate with pK(a) values of 5.7 and 8.8, respectively (Dwyer et al., Biophys. J. 79:1610-1620; García-Moreno E. et al., Biophys. Chem. 64:211-224). Continuum calculations with static structures reproduced the pK(a) values when the protein interior was treated with a dielectric constant (epsilon(in)) of 10. This high apparent polarizability can be rationalized in the case of Glu-66 in terms of internal water molecules, visible in crystallographic structures, hydrogen bonded to Glu-66. The water molecules are absent in structures with Lys-66; the high polarizability cannot be reconciled with the hydrophobic environment surrounding Lys-66. Equilibrium thermodynamic experiments showed that the Lys-66 mutant remained folded and native-like after ionization of the buried lysine. The high polarizability must therefore reflect water penetration, minor local structural rearrangement, or both. When in pK(a) calculations with continuum methods, the internal water molecules were treated explicitly, and allowed to relax in the field of the buried charged group, the pK(a) values of buried residues were reproduced with epsilon(in) in the range 4-5. The calculations show that internal waters can modulate pK(a) values of buried residues effectively, and they support the hypothesis that the buried Lys-66 is in contact with internal waters even though these are not seen crystallographically. When only the one or two innermost water molecules were treated explicitly, epsilon(in) of 5-7 reproduced the pK(a) values. These values of epsilon(in) > 4 imply that some conformational reorganization occurs concomitant with the ionization of the buried groups.

Charges in the hydrophobic interior of proteins

Charges are inherently incompatible with hydrophobic environments. Presumably for this reason, ionizable residues are usually excluded from the hydrophobic interior of proteins and are found instead at the surface, where they can interact with bulk water. Paradoxically, ionizable groups buried in the hydrophobic interior of proteins play essential roles, especially in biological energy transduction. To examine the unusual properties of internal ionizable groups we measured the pKa of glutamic acid residues at 25 internal positions in a stable form of staphylococcal nuclease. Two of 25 Glu residues titrated with normal pKa near 4.5; the other 23 titrated with elevated pKa values ranging from 5.2–9.4, with an average value of 7.7. Trp fluorescence and far-UV circular dichroism were used to monitor the effects of internal charges on conformation. These data demonstrate that although charges buried in proteins are indeed destabilizing, charged side chains can be buried readily in the hydrophobic core of stable proteins without the need for specialized structural adaptations to stabilize them, and without inducing any major conformational reorganization. The apparent dielectric effect experienced by the internal charges is considerably higher than the low dielectric constants of hydrophobic matter used to represent the protein interior in electrostatic continuum models of proteins. The high thermodynamic stability required for proteins to withstand the presence of buried charges suggests a pathway for the evolution of enzymes, and it underscores the need to mind thermodynamic stability in any strategy for engineering novel or altered enzymatic active sites in proteins.

High tolerance for ionizable residues in the hydrophobic interior of proteins

Internal ionizable groups are quite rare in water-soluble globular proteins. Presumably, this reflects the incompatibility between charges and the hydrophobic environment in the protein interior. Here we show that proteins can have an inherently high tolerance for internal ionizable groups. The 25 internal positions in staphylococcal nuclease were substituted one at a time with Lys, Glu, or Asp without abolishing enzymatic activity and without detectable changes in the conformation of the protein. Similar results with substitutions of 6 randomly chosen internal positions in ribonuclease H with Lys and Glu suggest that the ability of proteins to tolerate internal ionizable groups might be a property common to many proteins. Eighty-six of the 87 substitutions made were destabilizing, but in all but one case the proteins remained in the native state at neutral pH. By comparing the stability of each variant protein at two different pH values it was established that the pKa values of most of the internal ionizable groups are shifted; many of the internal ionizable groups are probably neutral at physiological pH values. These studies demonstrate that special structural adaptations are not needed for ionizable groups to exist stably in the hydrophobic interior of proteins. The studies suggest that enzymes and other proteins that use internal ionizable groups for functional purposes could have evolved through the random accumulation of mutations that introduced ionizable groups at internal positions, followed by evolutionary adaptation and optimization to modulate stability, dynamics, and other factors necessary for function.

Distance dependence and salt sensitivity of pairwise, coulombic interactions in a protein

Histidine pKa values were measured in charge‐reversal (K78E, K97E, K127E, and K97E/K127E) and charge‐neutralization (E10A, E101A, and R35A) mutants of staphylococcal nuclease (SNase) by 1H‐NMR spectroscopy. Energies of interaction between pairs of charges (ΔGij) were obtained from the shifts in pKa values relative to wild‐type values. The data describe the distance dependence and salt sensitivity of pairwise coulombic interactions. Calculations with a continuum electrostatics method captured the experimental ΔGij when static structures were used and when the protein interior was treated empirically with a dielectric constant of 20. The ΔGij when rij ≤ 10 Å were exaggerated slightly in the calculations. Coulombs law with a dielectric constant near 80 and a Debye‐Hückel term to account for screening by the ionic strength reproduced the salt sensitivity and distance dependence of ΔGij as well as the structure‐based method. In their interactions with each other, surface charges behave as if immersed in water; the Debye length describes realistically the distance where interactions become negligible at a given ionic strength. On average, charges separated by distances (rij) ≈5 Å interacted with ΔGij ≈ 0.6 kcal/mole in 0.01 M KCl, but ΔGij decayed to ≤0.10 kcal/mole when rij = 20 Å. In 0.10 M KCl, ΔGij ≈ 0.10 kcal/mole when rij = 10 Å. In 1.5 M KCl, only short‐range interactions with rij ≤ 5 Å persisted. Although at physiological ionic strengths the interactions between charges separated by more than 10 Å are extremely weak, in situations where charge imbalance exists many weak interactions can cumulatively produce substantial effects.

Salt Effects on Ionization Equilibria of Histidines in Myoglobin

The salt dependence of histidine pK(a) values in sperm whale and horse myoglobin and in histidine-containing peptides was measured by (1)H-NMR spectroscopy. Structure-based pK(a) calculations were performed with continuum methods to test their ability to capture the effects of solution conditions on pK(a) values. The measured pK(a) of most histidines, whether in the protein or in model compounds, increased by 0.3 pH units or more between 0.02 M and 1.5 M NaCl. In myoglobin two histidines (His(48) and His(36)) exhibited a shallower dependence than the average, and one (His(113)) showed a steeper dependence. The (1)H-NMR data suggested that the salt dependence of histidine pK(a) values in the protein was determined primarily by the preferential stabilization of the charged form of histidine with increasing salt concentrations rather than by screening of electrostatic interactions. The magnitude and salt dependence of interactions between ionizable groups were exaggerated in pK(a) calculations with the finite-difference Poisson-Boltzmann method applied to a static structure, even when the protein interior was treated with arbitrarily high dielectric constants. Improvements in continuum methods for calculating salt effects on pK(a) values will require explicit consideration of the salt dependence of model compound pK(a) values used for reference in the calculations.

Arginine residues at internal positions in a protein are always charged.

Many functionally essential ionizable groups are buried in the hydrophobic interior of proteins. A systematic study of Lys, Asp, and Glu residues at 25 internal positions in staphylococcal nuclease showed that their pKa values can be highly anomalous, some shifted by as many as 5.7 pH units relative to normal pKa values in water. Here we show that, in contrast, Arg residues at the same internal positions exhibit no detectable shifts in pKa; they are all charged at pH ≤ 10. Twenty-three of these 25 variants with Arg are folded at both pH 7 and 10. The mean decrease in thermodynamic stability from substitution with Arg was 6.2 kcal/mol at this pH, comparable to that for substitution with Lys, Asp, or Glu at pH 7. The physical basis behind the remarkable ability of Arg residues to remain protonated in environments otherwise incompatible with charges is suggested by crystal structures of three variants showing how the guanidinium moiety of the Arg side chain is effectively neutralized through multiple hydrogen bonds to protein polar atoms and to site-bound water molecules. The length of the Arg side chain, and slight deformations of the protein, facilitate placement of the guanidinium moieties near polar groups or bulk water. This unique capacity of Arg side chains to retain their charge in dehydrated environments likely contributes toward the important functional roles of internal Arg residues in situations where a charge is needed in the interior of a protein, in a lipid bilayer, or in similarly hydrophobic environments.

Contributions of the Ionizable Amino Acids to the Stability of Staphylococcal Nuclease

To quantitate the contributions of the ionizable amino acids to the stability of the native state of staphylococcal nuclease, each of the 23 lysines, 5 arginines, 4 histidines, 12 glutamic acids, and 8 aspartic acids was substituted with both alanine and glycine. This collection of 104 mutant proteins was analyzed by guanidine hydrochloride (GuHCl) denaturation, using intrinsic tryptophan fluorescence to quantitate the equilibrium between native and denatured states. From the analysis of these data, each mutant proteins stability in the absence of denaturant (delta GH2O) and sensitivity to changes in denaturant concentration [mGuHCl = d(delta G)/d[GuHCl]] were obtained. Several general trends in these values suggest that electrostatic interactions make only a minor contribution to the net stability of this protein. For the residue pairs that form ten salt bridges and ten charged hydrogen bonds between side chains, no correlation was observed between the stability losses (delta delta G) accompanying alanine substitution of each member of the pair. Little or no significant correlation was found between the magnitude of the loss in stability and the local electrostatic potential calculated from the three-dimensional structure by numerical and model dependent solutions of the linearized Poisson-Boltzmann equation. The structural parameters which correlated most strongly with stability loss are measures of the extent of burial of the residue in the native structure, as was previously observed for alanine and glycine substitutions of large hydrophobic residues [Shortle et al. (1990) Biochemistry 29, 8033] and of the polar, uncharged residues [Green et al. (1992) Biochemistry 31, 5717]. These results suggest that the ionizable amino acids contribute to stability predominantly through packing and bonding interactions that do not depend on their electrostatic charge.