Folding propensities of synthetic peptide fragments covering the entire sequence of phage 434 Cro protein.

The phage 434 Cro protein, the N-terminal domain of its repressor (R1-69) and that of phage lambda (lambda6-85) constitute a group of small, monomeric, single-domain folding units consisting of five helices with striking structural similarity. The intrinsic helix stabilities in lambda6-85 have been correlated to its rapid folding behavior, and a residual hydrophobic cluster found in R1-69 in 7 M urea has been proposed as a folding initiation site. To understand the early events in the folding of 434 Cro, and for comparison with R1-69 and lambda6-85, we examined the conformational behavior of five peptides covering the entire 434 Cro sequence in water, 40% (by volume) TFE/water, and 7 M urea solutions using CD and NMR. Each peptide corresponds to a helix and adjacent residues as identified in the native 434 Cro NMR and crystal structures. All are soluble and monomeric in the solution conditions examined except for the peptide corresponding to the 434 Cro helix 4, which has low water solubility. Helix formation is observed for the 434 Cro helix 1 and helix 2 peptides in water, for all the peptides in 40% TFE and for none in 7 M urea. NMR data indicate that the helix limits in the peptides are similar to those in the native protein helices. The number of side-chain NOEs in water and TFE correlates with the helix content, and essentially none are observed in 7 M urea for any peptide, except that for helix 5, where a hydrophobic cluster may be present. The low intrinsic folding propensities of the five helices could account for the observed stability and folding behavior of 434 Cro and is, at least qualitatively, in accord with the results of the recently described diffusion-collision model incorporating intrinsic helix propensities.     

Thermodynamic analysis of the structural stability of phage 434 Cro protein

Thermodynamic parameters describing the phage 434 Cro protein have been determined by calorimetry and, independently, by far-UV circular dichroism (CD) measurements of isothermal urea denaturations and thermal denaturations at fixed urea concentrations. These equilibrium unfolding transitions are adequately described by the two-state model. The far-UV CD denaturation data yield average temperature-independent values of 0.99 +/- 0.10 kcal mol(-)(1) M(-)(1) for m and 0.98 +/- 0.05 kcal mol(-)(1) K(-)(1) for DeltaC(p)()(,U), the heat capacity change accompanying unfolding. Calorimetric data yield a temperature-independent DeltaC(p)()(,U) of 0.95 +/- 0.30 kcal mol(-)(1) K(-)(1) or a temperature-dependent value of 1.00 +/- 0.10 kcal mol(-)(1) K(-)(1) at 25 degrees C. DeltaC(p)()(,U) and m determined for 434 Cro are in accord with values predicted using known empirical correlations with structure. The free energy of unfolding is pH-dependent, and the protein is completely unfolded at pH 2.0 and 25 degrees C as judged by calorimetry or CD. The stability of 434 Cro is lower than those observed for the structurally similar N-terminal domain of the repressor of phage 434 (R1-69) or of phage lambda (lambda(6)(-)(85)), but is close to the value reported for the putative monomeric lambda Cro. Since a protein's structural stability is important in determining its intracellular stability and turnover, the stability of Cro relative to the repressor could be a key component of the regulatory circuit controlling the levels and, consequently, the functions of the two proteins in vivo.     

Rate-temperature relationships in lambda-repressor fragment lambda 6-85 folding

Two classes of lambda(6-85) mutants (those richer in alanine, and those richer in glycine) have very similar slopes in an Arrhenius plot of the unfolding rates but very different temperature dependencies of the folding rates. Temperature-dependent interactions (e.g., hydrophobicity) play a large role in the initial stages of folding but not in the initial stages of unfolding of lambda(6-85). Placement of the transition state in terms of its surface exposure and entropy shows that at least two reaction coordinates are required to describe folding of all mutants over the full temperature range. The unusual Arrhenius plots of the very fastest mutant provide an additional kinetic signature for downhill folding.     

pH-jump-induced folding and unfolding studies of barstar: evidence for multiple folding and unfolding pathways.

Equilibrium and kinetic characterization of the high pH-induced unfolding transition of the small protein barstar have been carried out in the pH range 7-12. A mutant form of barstar, containing a single tryptophan, Trp 53, completely buried in the core of the native protein, has been used. It is shown that the protein undergoes reversible unfolding above pH 10. The pH 12 form (the D form) appears to be as unfolded as the form unfolded by 6 M guanidine hydrochloride (GdnHCl) at pH 7 (the U form): both forms have similar fluorescence and far-UV circular dichroism (CD) signals and have similar sizes, as determined by dynamic light scattering and size-exclusion chromatography. No residual structure is detected in the D form: addition of GdnHCl does not alter its fluorescence and far-UV CD properties. The fluorescence signal of Trp 53 has been used to monitor folding and unfolding kinetics. The kinetics of folding of the D form in the pH range 7-11 are complex and are described by four exponential processes, as are the kinetics of unfolding of the native state (N state) in the pH range 10.5-12. Each kinetic phase of folding decreases in rate with increase in pH from 7 to 10.85, and each kinetic phase of unfolding decreases in rate with decrease in pH from 12 to 10.85. At pH 10.85, the folding and unfolding rates for any particular kinetic phase are identical and minimal. The two slowest phases of folding and unfolding have identical kinetics whether measured by Trp 53 fluorescence or by mean residue ellipticity at 222 nm. Direct determination of the increase in the N state with time of folding at pH 7 and of the D form with time of unfolding at pH 12, by means of double-jump assays, show that between 85 and 95% of protein molecules fold or unfold via fast pathways between the two forms. The remaining 5-15% of protein molecules appear to fold or unfold via slower pathways, on which at least two intermediates accumulate. The mechanism of folding from the high pH-denatured D form is remarkably similar to the mechanism of folding from the urea or GdnHCl-denatured U form.     

Equilibrium unfolding of dimeric and engineered monomeric forms of lambda Cro (F58W) repressor and the effect of added salts: evidence for the formation of folded monomer induced by sodium perchlorate

The equilibrium unfolding transitions of Cro repressor variants, dimeric variant Cro F58W and monomer Cro K56[DGEVK]F58W, have been studied by urea and guanidine hydrochloride to probe the folding mechanism. The unfolding transitions of a dimeric variant are well described by a two state process involving native dimer and unfolded monomer with a free energy of unfolding, DeltaG(0,un)(0), of approximately 10-11 kcal/mol. The midpoint of transition curves is dependent on total protein concentration and DeltaG(0,un)(0) is independent of protein concentration, as expected for this model. Unfolding of Cro monomer is well described by the standard two state model. The stability of both forms of protein increases in the presence of salt but decreases with the decrease in pH. Because of the suggested importance of a N2<-->2F dimerization process in DNA binding, we have also studied the effect of sodium perchlorate, containing the chaotropic perchlorate anion, on the conformational transition of Cro dimer by CD, fluorescence and NMR (in addition to urea and guanidine hydrochloride) in an attempt both to characterize the thermodynamics of the process and to identify conditions that lead to an increase in the population of the folded monomers. Data suggest that sodium perchlorate stabilizes the protein at low concentration (<1.5 M) and destabilizes the protein at higher perchlorate concentration with the formation of a "significantly folded" monomer. The tryptophan residue in the "significantly folded" monomer induced by perchlorate is more exposed to the solvent than in native dimer.     

Tuning lambda6-85 towards downhill folding at its melting temperature

The five-helix bundle lambda6-85* is a fast two-state folder. Several stabilized mutants have been reported to fold kinetically near-downhill or downhill. These mutants undergo a transition to two-state folding kinetics when heated. It has been suggested that this transition is caused by increased hydrophobicity at higher temperature. Here we investigate two histidine-containing mutants of lambda6-85* to see if a weaker hydrophobic core can extend the temperature range of downhill folding. The very stable lambdaHA is the fastest-folding lambda repressor to date (k(f)(-1) approximately k(obs)(-1)=2.3 micros at 44 degrees C). It folds downhill at low temperature, but transits back to two-state folding at its unfolding midpoint. lambdaHG has a weakened hydrophobic core. It is less stable than some slower folding mutants of lambda6-85*, and it has more exposed hydrophobic surface area in the folded state. This mutant nonetheless folds very rapidly, and has the non-exponential folding kinetics of an incipient downhill folder even at the unfolding midpoint (k(m)(-1) approximately 2 micros, k(a)(-1)=15 micros at 56 degrees C). We also compare the thermodynamic melting transition of lambdaHG with the nominal two-state folding mutant lambdaQG, which has a similar melting temperature. Unlike lambdaQG, lambdaHG yields fluorescence wavelength-dependent cooperativities and probe-dependent melting temperatures. This result combined with previous work shows that the energy landscapes of lambda repressor mutants support all standard folding mechanisms.     

Kinetic role of helix caps in protein folding is context-dependent

Secondary structure punctuation through specific backbone and side chain interactions at the beginning and end of alpha-helices has been proposed to play a key role in hierarchical protein folding mechanisms [Baldwin, R. L., and Rose, G. D. (1999) Trends Biochem. Sci. 24, 26-33; Presta, L. G., and Rose, G. D. (1988) Science 240, 1632-1641]. We have made site-specific substitutions in the N- and C-cap motifs of the 5-helix protein monomeric lambda repressor (lambda(6-85)) and have measured the rate constants for folding and unfolding of each variant. The consequences of C-cap changes are strongly context-dependent. When the C-cap was located at the chain terminus, changes had little energetic and no kinetic effect. However, substitutions in a C-cap at the boundary between helix 4 and the subsequent interhelical loop resulted in large changes to the stability and rate constants of the variant, showing a substantial kinetic role for this interior C-cap and suggesting a general kinetic role for interior helix C-caps. Statistical preferences tabulated separately for internal and terminal C-caps also show only weak residue preferences in terminal C-caps. This kinetic distinction between interior and terminal C-caps can explain the discrepancy between the near-absence of stability and kinetic effects seen for C-caps of isolated peptides versus the very strong C-cap effects seen for proteins in statistical sequence preferences and mutational energetics. Introduction of consensus, in-register N-capping motifs resulted in increased stability, accelerated folding, and slower unfolding. The kinetic measurements indicate that some of the new native-state capping interactions remain unformed in the transition state. The accelerated folding rates could result from helix stabilization without invoking a specific role for N-caps in the folding reaction.     

NMR structures of salt-refolded forms of the 434-repressor DNA-binding domain in 6 M urea

The N-terminal 63-residue fragment of the phage 434-repressor, 434(1-63), has a well-defined globular fold in H(2)O solution, and is unfolded in 6 M urea at pH 7.5. In this study, 434(1-63) has been refolded by adding either 1.7 M NaCl or 0.47 M NaTFA to the solution in 6 M urea, and the NMR structures of both refolded forms have been determined. The two refolded forms have similar free energies of unfolding and are approximately 16 kJ/mol less stable than the protein in H(2)O solution. 434(1-63) refolded with NaCl exhibits NMR chemical shifts very similar to and a three-dimensional structure nearly identical to those of 434(1-63) in H(2)O solution. The protein refolded with NaTFA also has a similar global fold, but it shows local differences near Phe44, of which two different orientations of the aromatic ring are compatible with the experimental data. This local conformational polymorphism attracted our interest because hydrophobic contacts between two subdomains of residues 1-36 and 45-63 are mediated by the Phe44 side chain. Anion binding experiments suggest that this polymorphism is caused by binding of TFA(-) anions to a cluster of positively charged Arg and Lys residues located in the loop connecting the two subdomains, with apparent binding constants for TFA(-) (K(app)) on the order of 30 mM(-1).     

Observation of multistate kinetics during the slow folding and unfolding of barstar.

The kinetics of the slow folding and unfolding reactions of barstar, a bacterial ribonuclease inhibitor protein, have been studied at 23(+/-1) degrees C, pH 8, by the use of tryptophan fluorescence, far-UV circular dichroism (CD), near-UV CD, and transient mixing (1)H nuclear magnetic resonance (NMR) spectroscopic measurements in the 0-4 M range of guanidine hydrochloride (GdnHCl) concentration. The denaturant dependences of the rates of folding and unfolding processes, and of the initial and final values of optical signals associated with these kinetic processes, have been determined for each of the four probes of measurement. Values determined for rates as well as amplitudes are shown to be very much probe dependent. Significant differences in the intensities and rates of appearance and disappearance of several resolved resonances in the real-time one-dimensional NMR spectra have been noted. The NMR spectra also show increasing dispersion of chemical shifts during the slow phase of refolding. The denaturant dependences of rates display characteristic folding chevrons with distinct rollovers under strongly native as well as strongly unfolding conditions. Analyses of the data and comparison of the results obtained with different probes of measurement appear to indicate the accumulation of a myriad of intermediates on parallel folding and unfolding pathways, and suggest the existence of an ensemble of transition states. The energetic stabilities of the intermediates estimated from kinetic data suggest that they are approximately half as stable as the fully folded protein. The slowness of the folding and unfolding processes (tau = 10-333 s) and values of 20.5 (+/-1.4) and 18 (+/-0.5) kcal mol(-)(1) for the activation energies of the slow refolding and unfolding reactions suggest that proline isomerization is involved in these reactions, and that the intermediates accumulate and are therefore detectable because the slow proline isomerization reaction serves as a kinetic trap during folding.     

Contribution of a buried hydrogen bond to lambda repressor folding kinetics.

A hydrogen bond between the buried residues Asp 14 and Ser 77 in monomeric lambda repressor has been removed by mutation of these residues to alanine. Double mutant cycles show that the interaction stabilizes the native state of the protein by 1.5 kcal/mol. Removal of the interaction affects mainly the unfolding rates and not the folding rates, suggesting that this hydrogen bond is not substantially formed in the rate-limiting steps in the folding pathways of the protein. Mutations in two versions of lambda6-85, wild type and the faster folding G46A/G48A (WT), show similar effects. Diffusion-collision correctly predicts the behavior of WT but not of wild type. Our analysis suggests that folding of helix 3 is a crucial slow step along the various folding pathways and generally occurs before the formation of the 14-77 hydrogen bond. Experiments removing tertiary interactions, combined with experiments altering helical stability and diffusion-collision calculations, provide a strategy to unravel the folding mechanisms of small helical proteins.     

Folding and assembly of lambda Cro repressor dimers are kinetically limited by proline isomerization

Cro binds to operator sites in lambda DNA as a dimer. Dimerization of this small repressor protein is weak, however, and proline residues in the dimer interface suggest that folding and assembly of active repressors may be complex. Cro and selected variants have been studied by circular dichroism and fluorescence. Fluorescent probes include a unique tryptophan residue in the dimer interface and extrinsic resonance energy transfer probes that monitor dimerization. Both folding and unfolding are characterized by two distinct kinetic phases. Fast processes that are complete within the 5-10 ms dead time of stopped flow experiments account for the majority of the change in the CD signal and abrupt changes in both tryptophan fluorescence and energy transfer. The slow phases show all the hallmarks of proline isomerization. The rates of the slow phases are between 0.005 and 0.02 s(-1), are relatively independent of protein and denaturant concentration, display activation energies of 20 kcal/mol, and are accelerated by the peptidyl-prolyl isomerase SlyD. Although CD measurements indicate that more than 70% of the secondary structure is regained in the refolding burst phase, intermolecular fluorescence resonance energy transfer experiments indicate that less than 25% of these subunits are assembled into dimers. Full folding and dimerization requires isomerization of the non-native prolyl isomers over hundreds of seconds.     

Partially unfolded forms and non-two-state folding of a beta-sandwich: FHA domain from Arabidopsis receptor kinase-associated protein phosphatase

FHA domains adopt a beta-sandwich fold with 11 strands. The first evidence of partially unfolded forms of a beta-sandwich is derived from native-state hydrogen exchange (NHX) of the forkhead-associated (FHA) domain from kinase-associated protein phosphatase from Arabidopsis. The folding kinetics of this FHA domain indicate that EX2 behavior prevails at pH 6.3. In the chevron plot, rollover in the folding arm and bends in the unfolding arm suggest folding intermediates. NHX of this FHA domain suggests a core of six most stable beta-strands and two loops, characterized by rare global unfolding events. Flanking this stable core are beta-strands and recognition loops with less stability, termed subglobal motifs. These suggest partially unfolded forms (near-native intermediates) with two levels of stability. The spatial separation of the subglobal motifs on the flanks suggests possible parallelism in their folding as additional beta-strands align with the stable core of six strands. Intermediates may contribute to differences in stabilities and m-values suggested by NHX or kinetics relative to chemical denaturation. Residual structure in the unfolded regime is suggested by superprotection of beta-strand 6 and by GdmCl-dependence of adjustments in amide NMR spectra and residual optical signal. The global folding stability depends strongly on pH, with at least 3 kcal/mol more stability at pH 7.3 than at pH 6.3. This FHA domain is hypothesized to fold progressively with initial hydrophobic collapse of its stable six-stranded core followed by addition of less stable flanking beta-strands and ordering of recognition loops.     

Unfolding and refolding of bovine beta-lactoglobulin monitored by hydrogen exchange measurements.

Bovine beta-lactoglobulin (beta-LG) is a widely studied protein belonging to the lipocalin family, whose structural characterisation has been reported by X-ray crystallography and NMR studies at physiological and acidic pH, respectively. Bovine beta-LG consists of nine antiparallel beta-sheets and a terminal alpha-helix segment. The beta-sheets form a calyx structure with a hydrophobic buried cluster conferring stability to the protein while a hydrophobic surface patch provides stabilising interactions between the barrel and the flanking terminal helix. Here, the stability and the folding properties of bovine beta-LG in the presence of a chemical denaturant is probed. The analysis of the NMR spectra recorded in aqueous solution with increasing amounts of urea revealed that the intensities of the backbone cross-peaks decrease upon increasing urea concentration, while their secondary shifts do not change significantly on going from 0 to 5 M urea, thus suggesting the presence of slow exchange between native and unfolded protein. Hydrogen exchange measurements at different urea concentrations were performed in order to evaluate the exchange rates of individual backbone amide protons. The opening reactions that determine protein exchange can be computed for the most slowly exchanging hydrogen atoms, and the measured exchange rates and the corresponding free energies can be expressed in terms of the equilibrium energetic for the global transition and the local fluctuations. Most of the residues converge to define a common isotherm identifying a unique cooperative folding unit, encompassing all the strands, except strand betaI, and the terminal region of the helix. The amides that do not join the same global unfolding isotherm are characterised by low DeltaGH20op and especially by low m values, indicating that they are already substantially exposed in the native state. A two-state unfolding model N <==> U is therefore proposed for this rather big protein, in agreement with CD data. Renaturation studies show that the unfolding mechanism is reversible up to 6 M urea and suggest a similar unfolding and refolding pathway. Present results are discussed in light of the hypothesis of an alpha-->beta transition proposed for bovine beta-LG refolding.     

Combinatorial redesign of the DNA binding specificity of a prokaryotic helix-turn-helix repressor

Redesign of the bacteriophage 434 Cro repressor was accomplished by using an in vivo genetic screening system to identify new variants that specifically bound previously unrecognized DNA sequences. Site-directed, combinatorial mutagenesis of the 434 Cro helix-turn-helix (HTH) motif generated libraries of new variants which were screened for binding to new target sequences. Multiple mutations of 434 Cro that functionally converted wild-type (wt) 434 Cro DNA binding-sequence specificity to that of a lambda bacteriophage-specific repressor were identified. The libraries contained variations within the HTH sequence at only three positions. In vivo and in vitro analysis of several of the identified 434 Cro variants showed that the relatively few changes in the recognition helix of the HTH motif of 434 Cro resulted in specific and tight binding of the target DNA sequences. For the best 434 Cro variant identified, an apparent K(d) for lambda O(R)3 of 1 nM was observed. In competition experiments, this Cro variant was observed to be highly selective. We conclude that functional 434 Cro repressor variants with new DNA binding specificities can be generated from wt 434 Cro by mutating just the recognition helix. Important characteristics of the screening system responsible for the successful identifications are discussed. Application of the techniques presented here may allow the identification of DNA binding protein variants that functionally affect DNA regulatory sequences important in disease and industrial and biotechnological processes.     

Effect of signal peptide on the stability and folding kinetics of maltose binding protein

While the role of the signal sequence in targeting proteins to specific subcellular compartments is well characterized, there are fewer studies that characterize its effects on the stability and folding kinetics of the protein. We report a detailed characterization of the folding kinetics and thermodynamic stabilities of maltose binding protein (MBP) and its precursor form, preMBP. Isothermal GdmCl and urea denaturation as a function of temperature and thermal denaturation studies have been carried out to compare stabilities of the two proteins. preMBP was found to be destabilized by about 2-6 kcal/mol (20-40%) with respect to MBP. Rapid cleavage of the signal peptide by various proteases shows that the signal peptide is accessible in the native form of preMBP. The observed rate constant of the major slow phase in folding was decreased 5-fold in preMBP relative to MBP. The rate constants of unfolding were similar at 25 degrees C, but preMBP also exhibited a large burst phase change in unfolding that was absent in MBP. At 10 degrees C, preMBP exhibited a higher unfolding rate than MBP as well as a large burst phase. The appreciable destabilization of MBP by signal peptide is functionally relevant, because it enhances the likelihood of finding the protein in an unfolded translocation-competent form and may influence the interactions of the protein with the translocation machinery. Destabilization is likely to result from favorable interactions between the hydrophobic signal peptide and other hydrophobic regions that are exposed in the unfolded state.     

pH-dependent interactions and the stability and folding kinetics of the N-terminal domain of L9. Electrostatic interactions are only weakly formed in the transition state for folding

The role of electrostatic interactions in the stability and the folding of the N-terminal domain of the ribosomal protein L9 (NTL9) was investigated by determining the effects of varying the pH conditions. Urea denaturations and thermal unfolding experiments were used to measure the free energy of folding, DeltaG degrees, at 18 different pH values, ranging from pH 1.1 to pH 10.5. Folding rates were measured at 19 pH values between pH 2.1 and pH 9.5, and unfolding rates were determined at 15 pH values in this range using stopped-flow fluorescence experiments. The protein is maximally stable between pH 5.5 and 7.5 with a value of DeltaG degrees =4.45 kcal mol(-1). The folding rate reaches a maximum at pH 5.5, however the change in folding rates with pH is relatively modest. Over the pH range of 2.1 to 5.5 there is a small increase in folding rates, ln (k(f)) changes from 5.1 to 6.8. However, the change in stability is more dramatic, with a difference of 2.6 kcal mol(-1) between pH 2.0 and pH 5.4. The change in stability is largely due to the smaller barrier for unfolding at low pH values. The natural log of the unfolding rates varies by approximately four units between pH 2.1 and pH 5.5. The stability of the protein decreases above pH 7.5 and again the change is largely due to changes in the unfolding rate. ln (k(f)) varies by less than one unit between pH 5.5 and pH 9.5 while DeltaG degrees decreases by 2.4 kcal mol(-1) over the range of pH 5. 4 to pH 10.0, which corresponds to a change in ln K(eq) of 4.0. These studies show that pH-dependent interactions contribute significantly to the overall stability of the protein but have only a small effect upon the folding kinetics, indicating that electrostatic interactions are weakly formed in the transition state for folding.     

Apparent pKa shifts of titratable residues at high denaturant concentration and the impact on protein stability

Urea and guanidine-hydrochloride (GdnHCl) are frequently used for protein denaturation in order to determine the Gibbs free energy of folding and kinetic folding/unfolding parameters. Constant pH value is applied in the folding/unfolding experiments at different denaturant concentrations and steady protonation state of titratable groups is assumed in the folded and unfolded protein, respectively. The apparent side-chain pKa values of Asp, Glu, His and Lys in the absence and presence of 6 M urea and GdnHCl, respectively, have been determined by 1H-NMR. pKa values of all four residues are up-shifted by 0.3-0.5 pH units in presence of 6 M urea by comparison with pKa values of the residues dissolved in water. In the presence of 6 M GdnHCl, pKa values are down-shifted by 0.2-0.3 pH units in the case of acidic and up-shifted by 0.3-0.5 pH units in the case of basic residues. Shifted pKa values in the presence of denaturant may have a pronounced effect on the outcome of the protein stability obtained from denaturant unfolding experiments.     

Unfolding rates of barstar determined in native and low denaturant conditions indicate the presence of intermediates

The folding and unfolding rates of the small protein, barstar, have been monitored using stopped-flow measurements of intrinsic tryptophan fluorescence at 25 degrees C, pH 8.5, and have been compared over a wide range of urea and guanidine hydrochloride (GdnHCl) concentrations. When the logarithms of the rates of folding from urea and from GdnHCl unfolded forms are extrapolated linearly with denaturant concentration, the same rate is obtained for folding in zero denaturant. Similar linear extrapolations of rates of unfolding in urea and GdnHCl yield, however, different unfolding rates in zero denaturant, indicating that such linear extrapolations are not valid. It has been difficult, for any protein, to determine unfolding rates under nativelike conditions in direct kinetic experiments. Using a novel strategy of coupling the reactivity of a buried cysteine residue with 5,5'-dithiobis(2-nitrobenzoic acid) (DTNB) to the unfolding reaction of barstar, the global unfolding and refolding rates have now been determined in low denaturant concentrations. The logarithms of unfolding rates obtained at low urea and GdnHCl concentrations show a markedly nonlinear dependence on denaturant concentration and converge to the same unfolding rate in the absence of denaturant. It is shown that the native protein can sample the fully unfolded conformation even in the absence of denaturant. The observed nonlinear dependences of the logarithms of the refolding and unfolding rates observed for both denaturants are shown to be due to the presence of (un)folding intermediates and not due to movements in the position of the transition state with a change in denaturant concentration.     

Stability of monomeric Cro variants: Isoenergetic transformation of a type I' to a type II' beta-hairpin by single amino acid replacements

The thermodynamic stabilities of three monomeric variants of the bacteriophage lambda Cro repressor that differ only in the sequence of two amino acids at the apex of an engineered beta-hairpin have been determined. The sequences of the turns are EVK-XX-EVK, where the two central residues are DG, GG, and GT, respectively. Standard-state unfolding free energies, determined from circular dichroism measurements as a function of urea concentration, range from 2.4 to 2.7 kcal/mole, while those determined from guanidine hydrochloride range from 2.8 to 3.3 kcal/mole for the three proteins. Thermal denaturation yields van't Hoff unfolding enthalpies of 36 to 40 kcal /mole at midpoint temperatures in the range of 53 to 58 degrees C. Extrapolation of the thermal denaturation free energies with heat capacities of 400 to 600 cal/mole deg gives good agreement with the parameters determined in denaturant titrations. As predicted from statistical surveys of amino acid replacements in beta-hairpins, energetic barriers to transformation from a type I' turn (DG) to a type II' turn (GT) can be quite small.