Thermodynamics and kinetics of non-native interactions in protein folding: a single point mutant significantly stabilizes the N-terminal domain of L9 by modulating non-native interactions in the denatured state

Comparatively little is known about the role of non-native interactions in protein folding and their role in both folding and stability is controversial. We demonstrate that non-native electrostatic interactions involving specific residues in the denatured state can have a significant effect upon protein stability and can persist in the transition state for folding. Mutation of a single surface exposed residue, Lys12 to Met, in the N-terminal domain of the ribosomal protein L9 (NTL9), significantly increased the stability of the protein and led to faster folding. Structural and energetic studies of the wild-type and K12M mutant show that the 1.9 kcal mol(-1) increase in stability is not due to native state effects, but rather is caused by modulation of specific non-native electrostatic interactions in the denatured state. pH dependent stability measurements confirm that the increased stability of the K12M is due to the elimination of favorable non-native interactions in the denatured state. Kinetic studies show that the non-native electrostatic interactions involving K12 persist in the transition state. The analysis demonstrates that canonical Phi-values can arise from the disruption of non-native interactions as well as from the development of native interactions.     

pH-dependent stability and folding kinetics of a protein with an unusual alpha-beta topology: the C-terminal domain of the ribosomal protein L9

The folding kinetics and thermodynamics of the isolated C-terminal domain of the ribosomal protein L9 (CTL9) have been studied as a function of pH. CTL9 is an alpha-beta protein that contains a single beta-sheet with an unusual mixed parallel, anti-parallel topology. The folding is fully reversible and two-state over the entire pH range. Stopped-flow fluorescence and CD experiments yield the same folding rate, and the chevron plots have the characteristic V-shape expected for two-state folding. The values of DeltaG*(H2O) and the m value calculated from the kinetic experiments are in excellent agreement with the equilibrium measurements. The extrapolated initial amplitudes of both the stopped-flow fluorescence and CD measurements show that there is no detectable burst phase intermediate. The domain contains three histidine residues, two of which are largely buried in the native state. They do not participate in salt-bridges or take part in a hydrogen bonded network. NMR measurements reveal that the buried histidine residues have significantly perturbed pK(a) values in the native state. The equilibrium stability and the folding rate are found to be strongly dependent upon their ionization state. There is a linear relationship between the log of the folding rate and DeltaG* (H2O) . The protein is much more stable and folds noticeably faster at pH values above the native state pK(a) values. DeltaG*(H2O) of unfolding increases from 2.90 kcal mol(-1) at pH 5.0 to 6.40 kcal mol(-1) at pH 8.0 while the folding rate increases from 0.60 to 18.7 s(-1). Tanford linkage analysis revealed that the interactions involving the two histidine residues are largely developed in the transition state. The results are compared to other studies of the pH-dependence of folding.     

Kinetic isotope effects reveal the presence of significant secondary structure in the transition state for the folding of the N-terminal domain of L9

Our present understanding of the nature of the transition state for protein folding depends predominantly on studies where individual side-chain contributions are mapped out by mutational analysis (phi value analysis). This approach, although extremely powerful, does not in general provide direct information about the formation of backbone hydrogen bonds. Here, we report the results of amide H/D isotope effect studies that probe the development of hydrogen bonded interactions in the transition state for the folding of a small alpha-beta protein, the N-terminal domain of L9. Replacement of amide protons by deuterons in a solvent of constant isotopic composition destabilized the domain, decreasing both its T(m) and Delta G(0) of unfolding. The folding rate also decreased. The parameter Phi(H/D), defined as the ratio of the effect of isotopic substitution upon the activation free energy to the equilibrium free energy was determined to be 0.6 in a D(2)O background and 0.75 in a H(2)O background, indicating that significant intraprotein hydrogen bond interactions are developed in the transition state for the folding of NTL9. The value is in remarkably good agreement with more traditional measures of the position of the transition state, which report on the relative burial of surface area. The results provide a picture of a compact folding transition state containing significant secondary structure. Indirect analysis argues that the bulk of the kinetic isotope effect arises from the beta-sheet-rich region of the protein, and suggests that the development of intraprotein hydrogen bonds in this region plays a critical role in the folding of NTL9.     

Electrostatic interactions in the denatured state and in the transition state for protein folding: effects of denatured state interactions on the analysis of transition state structure

The development of electrostatic interactions during the folding of the N-terminal domain of the ribosomal protein L9 (NTL9) is investigated by pH-dependent rate equilibrium free energy relationships. We show that Asp8, among six acidic residues, is involved in non-native, electrostatic interactions with K12 in the transition state for folding as well as in the denatured state. The perturbed native state pK(a) of D8 (pK(a) = 3.0) appears to be maintained through non-native interactions in both the transition state and the denatured state. Mutational effects on the stability of the transition state for protein (un)folding are often analyzed in respect to change in ground states. Thus, the interpretation of transition state analysis critically depends on an understanding of mutational effects on both the native and denatured state. Increasing evidence for structurally biased denatured states under physiological conditions raises concerns about possible denatured state effects on folding studies. We show that the structural interpretation of transition state analysis can be altered dramatically by denatured state effects.     

Analysis of the pH-dependent folding and stability of histidine point mutants allows characterization of the denatured state and transition state for protein folding

pH-Dependent studies of the folding kinetics and stability of a set of His to Gln point mutants were used to characterize the denatured state and transition state ensembles for the C-terminal domain of the ribosomal protein L9 (CTL9). CTL9 contains three histidine residues, two of which, H106 and H134, are buried in the native state, while the third, H144, is more exposed. Comparison of the pH-dependent stability calculated using the Tanford-Wyman linkage relationship to the measured values demonstrates that the apparent pK(a) values of the three histidine residues are not significantly perturbed in the denatured state ensemble. Kinetic measurements show that mutation of H134 has a larger effect on the folding process than does mutation of H106 and H144. The Phi-value for H134 is significantly larger than the Phi-values for the other histidine residues, which are near zero at both pH 5.45 and pH 8.0. The Phi-value for H134 is higher, 0.55, at pH 8.0 than at pH 5.45, 0.39. At pH 5.45, H134 is protonated in the unfolded state but deprotonated in the native state, while at pH 8.0 it is deprotonated in both. There is an excellent linear relationship between stability (logK) and folding rates (logk(f)) over the range of pH 5-9 for all mutants. From these plots, the ratio of DeltaQ( not equal)/DeltaQ can be calculated for each mutant. DeltaQ( not equal) is the difference in the number of protons bound to the transition state and to the unfolded state, while DeltaQ represents the difference between folded and denatured state. The linear plots indicate that the relative position of the transition state ensemble as judged by DeltaQ( not equal)/DeltaQ is independent of pH. The linkage analysis is consistent with the Phi-value analysis, showing that H134 is the most critical contributor to the development of pH-dependent interactions, including desolvation effects in the transition state ensemble.     

pKa values and the pH dependent stability of the N-terminal domain of L9 as probes of electrostatic interactions in the denatured state. Differentiation between local and nonlocal interactions

pKa values were measured for the 6 carboxylates in the N-terminal domain of L9 (NTL9) by following NMR chemical shifts as a function of pH. The contribution of each carboxylate to the pH dependent stability of NTL9 was estimated by comparing the pKa values for the native and denatured state of the protein. A set of peptides with sequences derived from NTL9 were used to model the denatured state. In the protein fragments, the pKa values measured for the aspartates varied between 3.8 and 4.1 and the pKa values measured for the glutamates varied between 4.1 and 4.6. These results indicate that the local sequence can significantly influence pKa values in the denatured state and highlight the difficulties in using standard pKa values derived from small compounds. Calculations based on the measured pKa values suggest that the free energy of unfolding of NTL9 should decrease by 4.4 kcal mol-1 when the pH is lowered from 6 to 2. In contrast, urea and thermal denaturation experiments indicate that the stability of the protein decreases by only 2.6 kcal mol-1 when the carboxylates are protonated. This discrepancy indicates that the protein fragments are not a complete representation of the denatured state and that nonlocal sequence effects perturb the pKa's in the denatured state. Increasing the salt concentration from 100 to 750 mM NaCl removes the discrepancy between the stabilities derived from denaturation experiments and the stability changes calculated from the pKa values. At high concentrations of salt there is also less variation of the pKa values measured in the protein fragments. Our results argue that in the denatured state of NTL9 there are electrostatic interactions between groups both local and nonlocal in primary sequence.     

Electrostatic interactions in the denatured state ensemble: their effect upon protein folding and protein stability

It is now recognized that the denatured state ensemble (DSE) of proteins can contain significant amounts of structure, particularly under native conditions. Well-studied examples include small units of hydrogen bonded secondary structure, particularly helices or turns as well as hydrophobic clusters. Other types of interactions are less well characterized and it has often been assumed that electrostatic interactions play at most a minor role in the DSE. However, recent studies have shown that both favorable and unfavorable electrostatic interactions can be formed in the DSE. These can include surprisingly specific non-native interactions that can even persist in the transition state for protein folding. DSE electrostatic interactions can be energetically significant and their modulation either by mutation or by varying solution conditions can have a major impact upon protein stability. pH dependent stability studies have shown that electrostatic interactions can contribute up to 4 kcal mol^-1 to the stability of the DSE.     

Analysis of electrostatic interactions in the denatured state ensemble of the N-terminal domain of L9 under native conditions

The pH dependence of protein stability is defined by the difference in the number of protons bound to the folded state and to the denatured state ensemble (DSE) as a function of pH. In many cases, the protonation behavior can be described as the sum of a set of independently titrating residues; in this case, the pH dependence of stability reflects differences in folded and DSE pK(a)'s. pH dependent stability studies have shown that there are energetically important interactions involving charged residues in the DSE of the N-terminal domain of L9 (NTL9), which affect significantly the stability of the protein. The DSE of wild type NTL9 cannot be directly characterized under native conditions because of its high stability. A destabilized double mutant of NTL9, V3AI4A, significantly populates the folded state and the DSE in the absence of denaturant. The two states are in slow exchange on the nuclear magnetic resonance time scale, and diffusion measurements indicate that the DSE is compact. The DSE pK(a)'s of all of the acidic residues were directly determined. The DSE pK(a) of Asp8 and Asp23 are depressed relative to model compounds values. Use of the mutant DSE pK(a)'s together with known native state pK(a)'s leads to a significantly improved agreement between the measured pH dependent stability and that predicted by the Tanford-Wyman linkage relationship. An analysis of the literature suggests that DSE interactions involving charged residues are relatively common and should be considered in discussions of protein stability.     

Hydrophobic core packing in the SH3 domain folding transition state.

How tightly packed is the hydrophobic core of a folding transition state structure? We have addressed this question by characterizing the effects on folding kinetics of > 40 substitutions of both large and small amino acids in the hydrophobic core of the Fyn SH3 domain. Our results show that residues at three positions, which we designate as the 'core folding nucleus', are tightly packed in the transition state, and substitutions at these positions cause the largest changes in the folding rate. The other six positions examined appear to be loosely packed; thus, substitutions at these positions with larger hydrophobic residues generally accelerate folding, presumably by increasing the rate of nonspecific hydrophobic collapse. Surprisingly, the folding rate can be greatly accelerated by residues that also significantly destabilize the native state structure. Furthermore, mutants with identical thermodynamic stability can differ by up to 55-fold in their folding rates. These results highlight the importance of hydrophobic core composition, as opposed to only topology, in determining the folding rate of a protein. They also provide a new explanation for the 'abnormal' phi-values observed in many protein folding kinetics studies.     

Engineering diverse changes in beta-turn propensities in the N-terminal beta-hairpin of ubiquitin reveals significant effects on stability and kinetics but a robust folding transition state

Using the N-terminal 17-residue beta-hairpin of ubiquitin as a "host" for mutational studies, we have investigated the influence of the beta-turn sequence on protein stability and folding kinetics by replacing the native G-bulged turn (TLTGK) with more flexible analogues (TG3K and TG5K) and a series of four-residue type I' beta-turn sequences, commonly found in beta-hairpins. Although a statistical analysis of type I' turns demonstrates residue preferences at specific sites, the frequency of occurrence appears to only broadly correlate with experimentally determined protein stabilities. The subsequent engineering of context-dependent non-native tertiary contacts involving turn residues is shown to produce large changes in stability. Relatively few point mutations have been described that probe secondary structure formation in ubiquitin in a manner that is independent of tertiary contacts. To this end, we have used the more rigorous rate-equilibrium free energy relationship (Leffler analysis), rather than the two-point phi value analysis, to show for a family of engineered beta-turn mutants that stability (range of approximately 20 kJ/mol) and folding kinetics (190-fold variation in refolding rate) are linearly correlated (alpha(f) = 0.74 +/- 0.08). The data are consistent with a transition state that is robust with regard to a wide range of statistically favored and disfavored beta-turn mutations and implicate a loosely assembled beta-hairpin as a key template in transition state stabilization with the beta-turn playing a central role.     

Residual electrostatic effects in the unfolded state of the N-terminal domain of L9 can be attributed to nonspecific nonlocal charge-charge interactions

Residual electrostatic interactions in the unfolded state of the N-terminal domain of L9 (NTL9) were found by Kuhlman et al. [(1999) Biochemistry 38, 4896-4903]. These residual interactions are analyzed here by the Gaussian-chain model [Zhou, H.-X. (2002) Proc. Natl. Acad. Sci. U.S.A. 99, 3569-3574]. The original model is made more realistic by replacing "standard" model-compound pK(a) values for ionizable groups by those measured by Kuhlman et al. in peptide fragments of NTL9. The predicted pH dependence of the unfolding free energy is in agreement with experiment over the pH range of 1-7 at ionic strengths of 100 and 750 mM. This indicates that the residual electrostatic effects in the unfolded state of NTL9 can be attributed to nonspecific nonlocal charge-charge interactions.     

The use of transition state acid dissociation constants in pH-dependent enzyme kinetics

It is shown that the variation of reaction rate with pH in systems where several protonated forms of the reactants appear to be kinetically active may be expressed most economically in terms of transition state acid dissociation constants. The advantages of this approach are described in relation to the formal analysis of experimental data with regard to both simple and complex reactions and the satisfaction of the principle of microscopic reversibility. Ligand binding to metmyoglobin is used to illustrate the value of the approach in searching for detailed mechanistic explanations.     

Mapping the interactions present in the transition state for unfolding/folding of FKBP12.

The structure of the transition state for folding/unfolding of the immunophilin FKBP12 has been characterised using a combination of protein engineering techniques, unfolding kinetics, and molecular dynamics simulations. A total of 34 mutations were made at sites throughout the protein to probe the extent of secondary and tertiary structure in the transition state. The transition state for folding is compact compared with the unfolded state, with an approximately 30 % increase in the native solvent-accessible surface area. All of the interactions are substantially weaker in the transition state, as probed by both experiment and molecular dynamics simulations. In contrast to some other proteins of this size, no element of structure is fully formed in the transition state; instead, the transition state is similar to that found for smaller, single-domain proteins, such as chymotrypsin inhibitor 2 and the SH3 domain from alpha-spectrin. For FKBP12, the central three strands of the beta-sheet, beta-strand 2, beta-strand 4 and beta-strand 5, comprise the most structured region of the transition state. In particular Val101, which is one of the most highly buried residues and located in the middle of the central beta-strand, makes approximately 60 % of its native interactions. The outer beta-strands and the ends of the central beta-strands are formed to a lesser degree. The short alpha-helix is largely unstructured in the transition state, as are the loops. The data are consistent with a nucleation-condensation model of folding, the nucleus of which is formed by side-chains within beta-strands 2, 4 and 5, and the C terminus of the alpha-helix. The precise residues involved in the nucleus differ in the two simulated transition state ensembles, but the interacting regions of the protein are conserved. These residues are distant in the primary sequence, demonstrating the importance of tertiary interactions in the transition state. The two independently derived transition state ensembles are structurally similar, which is consistent with a Bronsted analysis confirming that the transition state is an ensemble of states close in structure.     

Effects of varying the local propensity to form secondary structure on the stability and folding kinetics of a rapid folding mixed alpha/beta protein: characterization of a truncation mutant of the N-terminal domain of the ribosomal protein L9.

The N-terminal domain of the ribosomal protein L9 forms a split betaalphabeta structure with a long C-terminal helix. The folding transitions of a 56 residue version of this protein have previously been characterized, here we report the results of a study of a truncation mutant corresponding to residues 1-51. The 51 residue protein adopts the same fold as the 56 residue protein as judged by CD and two-dimensional NMR, but it is less stable as judged by chemical and thermal denaturation experiments. Studies with synthetic peptides demonstrate that the C-terminal helix of the 51 residue version has very little propensity to fold in isolation in contrast to the C-terminal helix of the 56 residue variant. The folding rates of the two proteins, as measured by stopped-flow fluorescence, are essentially identical, indicating that formation of local structure in the C-terminal helix is not involved in the rate-limiting step of folding.     

Circularization changes the folding transition state of the src SH3 domain

Native state topology has been implicated as a major determinant of protein-folding mechanisms. Here, we test experimentally the robustness of the src SH3-domain folding transition state to changes in topology by covalently constraining regions of the protein with disulfide crosslinks and then performing kinetic analysis on point mutations in the context of these modified proteins. Circularization (crosslinking the N and C termini) of the src SH3 domain makes the protein topologically symmetric and causes delocalization of structure in the transition state ensemble suggesting a change in the folding mechanism. In contrast, crosslinking a single structural element (the distal beta-hairpin) which is an essential part of the transition state, results in a protein that folds 30 times faster, but does not change the distribution of structure in the transition state. As the transition states of distantly related SH3 domains were previously found to be very similar, we conclude that the free energy landscape of this protein family contains deep features which are relatively insensitive to sequence variations but can be altered by changes in topology.     

Charge-charge interactions in the denatured state influence the folding kinetics of ribonuclease Sa

Gaining a better understanding of the denatured state ensemble of proteins is important for understanding protein stability and the mechanism of protein folding. We studied the folding kinetics of ribonuclease Sa (RNase Sa) and a charge-reversal variant (D17R). The refolding kinetics are similar, but the unfolding rate constant is 10-fold greater for the variant. This suggests that charge-charge interactions in the denatured state and the transition state ensembles are more favorable in the variant than in RNase Sa, and shows that charge-charge interactions can influence the kinetics and mechanism of protein folding.     

Electrostatic interactions across the dimer-dimer interface contribute to the pH-dependent stability of a tetrameric malate dehydrogenase

Malate dehydrogenase (MDH) from the moderately thermophilic bacterium Chloroflexus aurantiacus (CaMDH) is a tetrameric enzyme, while MDHs from mesophilic bacteria usually are dimers. Using site-directed mutagenesis, we show here that a network of electrostatic interactions across the extra dimer-dimer interface in CaMDH is important for thermal stability and oligomeric integrity. Stability effects of single point mutations (E25Q, E25K, D56N, D56K) varied from −1.2°C to −26.8°C, and depended strongly on pH. Gel-filtration experiments indicated that the 26.8°C loss in stability observed for the D56K mutant at low pH was accompanied by a shift towards a lower oligomerization state.     

Mutational analysis of the folding transition state of the C-terminal domain of ribosomal protein L9: a protein with an unusual beta-sheet topology

The C-terminal domain of ribosomal protein L9 (CTL9) is a 92-residue alpha-beta protein which contains an unusual three-stranded mixed parallel and antiparallel beta-sheet. The protein folds in a two-state fashion, and the folding rate is slow. It is thought that the slow folding may be caused by the necessity of forming this unusual beta-sheet architecture in the transition state for folding. This hypothesis makes CTL9 an interesting target for folding studies. The transition state for the folding of CTL9 was characterized by phi-value analysis. The folding of a set of hydrophobic core mutants was analyzed together with a set of truncation mutants. The results revealed a few positions with high phi-values (> or = 0.5), notably, V131, L133, H134, V137, and L141. All of these residues were found in the beta-hairpin region, indicating that the formation of this structure is likely to be the rate-limiting step in the folding of CTL9. One face of the beta-hairpin docks against the N-terminal helix. Analysis of truncation mutants of this helix confirmed its importance in folding. Mutations at other sites in the protein gave small phi-values, despite the fact that some of them had major effects on stability. The analysis indicates that formation of the antiparallel hairpin is critical and its interactions with the first helix are also important. Thus, the slow folding is not a consequence of the need to fully form the unusual three-stranded beta-sheet in the transition state. Analysis of the urea dependence of the folding rates indicates that mutations modulate the unfolded state. The folding of CTL9 is broadly consistent with the nucleation-condensation model of protein folding.