Refolding of denatured ribonuclease observed by size exclusion chromatography

The unfolding and refolding of pancreatic ribonuclease have been observed by absorbance, fluorescence, and size exclusion chromatographic measurements in solutions of guanidinium chloride continuously maintained at pH 6.0 and 4 degrees C. The spectral measurements were fitted with a minimal number of kinetic phases while the chromatographic measurements were simulated from an explicit mechanism. All of the measurements are consistent with a minimal mechanism involving seven components. The folded components include the native protein and two transiently stable intermediates each having the same hydrodynamic volume. The intermediate having all native peptide isomers has an unfolding midpoint in 3.8 M denaturant while the intermediate having one nonnative peptide isomer has an unfolding midpoint in 1.3 M denaturant. The unfolded protein is distributed among four components having the same hydrodynamic volume but differing peptide isomers. At equilibrium, 10% of the denatured protein has all native isomers, 60% has one nonnative isomer, 5% has a different nonnative isomer, and 25% has both nonnative isomers. In low denaturant concentrations, the dominant component with one nonnative isomer can refold to transiently populate the compact intermediate with the same nonnative isomer.     

Molecular basis of cooperativity in protein folding IV. Core: A general cooperative folding model

The cooperative nature of the protein folding process is independent of the characteristic fold and the specific secondary structure attributes of a globular protein. A general folding/unfolding model should, therefore, be based upon structural features that transcend the peculiarities of α-helices, β-sheets, and other structural motifs found in proteins. The studies presented in this paper suggest that a single structural characteristic common to all globular proteins is essential for cooperative folding. The formation of a partly folded state from the native state results in the exposure to solvent of two distinct regions: (1) the portions of the protein that are unfolded; and (2) the “complementary surfaces,” located in the regions of the protein that remain folded. The cooperative character of the folding/unfolding transition is determined largely by the energetics of exposing complementary surface regions to the solvent. By definition, complementary regions are present only in partly folded states; they are absent from the native and unfolded states. An unfavorable free energy lowers the probability of partly folded states and increases the cooperativity of the transition. In this paper we present a mathematical formulation of this behavior and develop a general cooperative folding/unfolding model, termed the “complementary region” (CORE) model. This model successfully reproduces the main properties of folding/unfolding transitions without limiting the number of partly folded states accessible to the protein, thereby permitting a systematic examination of the structural and solvent conditions under which intermediates become populated. It is shown that the CORE model predicts two-state folding/unfolding behavior, even though the two-state character is not assumed in the model. © 1993 Wiley-Liss, Inc.     

A kinetic study of the folding of staphylococcal nuclease using size-exclusion chromatography.

The kinetics of the hydrodynamic volume change accompanying the reversible unfolding of staphylococcal nuclease have been observed by size-exclusion chromatography at 4 degrees C and pH 7.0 using the denaturant guanidine hydrochloride. The observed chromatographic profiles have been simulated by a six-component unfolding/refolding mechanism using a consistent set of equilibrium and kinetic parameters. The native protein is an equilibrium mixture of the cis and trans isomers of the peptide bond preceding proline-117. The native conformation containing the cis isomer dominates the equilibrium mixture, is more stable, and unfolds more slowly at its transition midpoint. The denatured protein is an equilibrium mixture of at least four components, the cis/trans isomers of proline-117 and one of the five remaining prolines. The dominant refolding pathway is initiated from the denatured component containing the trans isomer of proline-117. The six-component mechanism is consistent with tryptophan fluorescence kinetic measurements of the wild-type protein and with chromatographic measurements of a mutant P117G protein.     

An isolated helix persists in a sparsely populated form of KIX under native conditions

NMR relaxation dispersion techniques were used to investigate conformational exchange of the three-helix bundle protein KIX under native conditions. These experiments provide site-resolved kinetic information about microsecond-to-millisecond time scale motions along with structural (chemical shift) information without requiring a perturbation of the equilibrium. All kinetic data are consistent with an apparent two-state transition between natively folded KIX and a partially unfolded high-energy state that is populated to 3.0 +/- 0.2% at 27 degrees C. By combining (13)C- and (15)N-based experiments that probe specific structural aspects, we show that the sparsely populated high-energy state displays a strong conformational preference. An isolated secondary structural element, C-terminal helix alpha3, is highly populated, while the hydrophobic core of the domain and the remainder of the protein backbone, including helices alpha1 and alpha2, are disordered and devoid of specific interactions. This high-energy state presumably represents the equilibrium analogue of a folding intermediate that is transiently populated in stopped-flow kinetic experiments [Horng, J. C., Tracz, S. M., Lumb, K. J., and Raleigh, D. P. (2002) Biochemistry 44, 627-634].     

Thermal stability of calmodulin and mutants studied by (1)H-(15)N HSQC NMR measurements of selectively labeled [(15)N]Ile proteins

Calmodulin, the Ca(2+)-dependent activator of many cellular processes, contains two well-defined structural domains, each of which binds two Ca(2+) ions. In its Ca(2+)-free (apo) form, it provides an attractive model for studying mechanisms of protein unfolding, exhibiting two separable, reversible processes, indicating two structurally autonomous folding units. (1)H-(15)N HSQC NMR in principle offers a detailed picture of the behavior of individual residues during protein unfolding transitions, but is limited by the lack of dispersion of resonances in the unfolded state. In this work, we have used selective [(15)N]Ile labeling of four distinctive positions in each calmodulin domain to monitor the relative thermal stability of the folding units in wild-type apocalmodulin and in mutants in which either the N- or C-domain is destabilized. These mutations lead to a characteristic perturbation of the stability (T(m)) of the nonmutated domain relative to that of wild-type apocalmodulin. The ability to monitor specific (15)N-labeled residues, well-distributed throughout the domain, provides strong evidence for the autonomy of a given folding unit, as well as providing accurate measurements of the unfolding parameters T(m) and DeltaH(m). The thermodynamic parameters are interpreted in terms of interactions between one folded and one unfolded domain of apocalmodulin, where stabilization on the order of a few kilocalories per mole is sufficient to cause significant changes in the observed unfolding behavior of a given folding unit. The selective (15)N labeling approach is thus a general method that can provide detailed information about structural intermediates populated in complex protein unfolding processes.     

Alternatively folded states of an immunoglobulin

Well-defined, non-native protein structures of low stability have been increasingly observed as intermediates in protein folding or as equilibrium structures populated under specific solvent conditions. These intermediate structures, frequently referred to as molten globule states, are characterized by the presence of secondary structure, a lack of significant tertiary contacts, increased hydrophobicity and partial specific volume as compared to native structures, and low cooperativity in thermal unfolding. The present study demonstrates that under acidic conditions (pH less than 3) the antibody MAK33 can assume a folded stable conformation. This A-state is characterized by a high degree of secondary structure, increased hydrophobicity, a native-like maximum wavelength of fluorescence emission, and a tendency toward slow aggregation. A prominent feature of this low-pH conformation is the stability against denaturant and thermal unfolding that is manifested in highly cooperative reversible phase transitions indicative of the existence of well-defined tertiary contacts. These thermodynamic results are corroborated by the kinetics of folding from the completely unfolded chain to the alternatively folded state at pH 2. The given data suggest that MAK33 at pH 2 adopts a cooperative structure that differs from the native immunoglobulin fold at pH 7. This alternatively folded state exhibits certain characteristics of the molten globule but differs distinctly from it by its extraordinary structural stability that is characteristic for native protein structures.     

Evidence for a Shared Mechanism in the Formation of Urea-Induced Kinetic and Equilibrium Intermediates of Horse Apomyoglobin from Ultrarapid Mixing Experiments

In this study, the equivalence of the kinetic mechanisms of the formation of urea-induced kinetic folding intermediates and non-native equilibrium states was investigated in apomyoglobin. Despite having similar structural properties, equilibrium and kinetic intermediates accumulate under different conditions and via different mechanisms, and it remains unknown whether their formation involves shared or distinct kinetic mechanisms. To investigate the potential mechanisms of formation, the refolding and unfolding kinetics of horse apomyoglobin were measured by continuous- and stopped-flow fluorescence over a time range from approximately 100 μs to 10 s, along with equilibrium unfolding transitions, as a function of urea concentration at pH 6.0 and 8°C. The formation of a kinetic intermediate was observed over a wider range of urea concentrations (0–2.2 M) than the formation of the native state (0–1.6 M). Additionally, the kinetic intermediate remained populated as the predominant equilibrium state under conditions where the native and unfolded states were unstable (at ~0.7–2 M urea). A continuous shift from the kinetic to the equilibrium intermediate was observed as urea concentrations increased from 0 M to ~2 M, which indicates that these states share a common kinetic folding mechanism. This finding supports the conclusion that these intermediates are equivalent. Our results in turn suggest that the regions of the protein that resist denaturant perturbations form during the earlier stages of folding, which further supports the structural equivalence of transient and equilibrium intermediates. An additional folding intermediate accumulated within ~140 μs of refolding and an unfolding intermediate accumulated in <1 ms of unfolding. Finally, by using quantitative modeling, we showed that a five-state sequential scheme appropriately describes the folding mechanism of horse apomyoglobin.     

Measuring the stability of partly folded proteins using TMAO

Standard methods for measuring free energy of protein unfolding by chemical denaturation require complete folding at low concentrations of denaturant so that a native baseline can be observed. Alternatively, proteins that are completely unfolded in the absence of denaturant can be folded by addition of the osmolyte trimethylamine N-oxide (TMAO), and the unfolding free energy can then be calculated through analysis of the refolding transition. However, neither chemical denaturation nor osmolyte-induced refolding alone is sufficient to yield accurate thermodynamic unfolding parameters for partly folded proteins, because neither method produces both native and denatured baselines in a single transition. Here we combine urea denaturation and TMAO stabilization as a means to bring about baseline-resolved structural transitions in partly folded proteins. For Barnase and the Notch ankyrin domain, which both show two-state equilibrium unfolding, we found that DeltaG degrees for unfolding depends linearly on TMAO concentration, and that the sensitivity of DeltaG degrees to urea (the m-value) is TMAO independent. This second observation confirms that urea and TMAO exert independent effects on stability over the range of cosolvent concentrations required to bring about baseline-resolved structural transitions. Thermodynamic parameters calculated using a global fit that assumes additive, linear dependence of DeltaG degrees on each cosolvent are similar to those obtained by standard urea-induced unfolding in the absence of TMAO. Finally, we demonstrate the applicability of this method to measurement of the free energy of unfolding of a partly folded protein, a fragment of the full-length Notch ankyrin domain.     

Folding and unfolding of gammaTIM monomers and dimers

Kinetic simulations of the folding and unfolding of triosephosphate isomerase (TIM) from yeast were conducted using a single monomer gammaTIM polypeptide chain that folds as a monomer and two gammaTIM chains that fold to the native dimer structure. The basic protein model used was a minimalist Gō model using the native structure to determine attractive energies in the protein chain. For each simulation type--monomer unfolding, monomer refolding, dimer unfolding, and dimer refolding--thirty simulations were conducted, successfully capturing each reaction in full. Analysis of the simulations demonstrates four main conclusions. First, all four simulation types have a similar "folding order", i.e., they have similar structures in intermediate stages of folding between the unfolded and folded state. Second, despite this similarity, different intermediate stages are more or less populated in the four different simulations, with 1), no intermediates populated in monomer unfolding; 2), two intermediates populated with beta(2)-beta(4) and beta(1)-beta(5) regions folded in monomer refolding; 3), two intermediates populated with beta(2)-beta(3) and beta(2)-beta(4) regions folded in dimer unfolding; and 4), two intermediates populated with beta(1)-beta(5) and beta(1)-beta(5) + beta(6) + beta(7) + beta(8) regions folded in dimer refolding. Third, simulations demonstrate that dimer binding and unbinding can occur early in the folding process before complete monomer-chain folding. Fourth, excellent agreement is found between the simulations and MPAX (misincorporation proton alkyl exchange) experiments. In total, this agreement demonstrates that the computational Gō model is accurate for gammaTIM and that the energy landscape of gammaTIM appears funneled to the native state.     

Design and Structure of an Equilibrium Protein Folding Intermediate: A Hint into Dynamical Regions of Proteins

Partly unfolded protein conformations close to the native state may play important roles in protein function and in protein misfolding. Structural analyses of such conformations which are essential for their fully physicochemical understanding are complicated by their characteristic low populations at equilibrium. We stabilize here with a single mutation the equilibrium intermediate of apoflavodoxin thermal unfolding and determine its solution structure by NMR. It consists of a large native region identical with that observed in the X-ray structure of the wild-type protein plus an unfolded region. Small-angle X-ray scattering analysis indicates that the calculated ensemble of structures is consistent with the actual degree of expansion of the intermediate. The unfolded region encompasses discontinuous sequence segments that cluster in the 3D structure of the native protein forming the FMN cofactor binding loops and the binding site of a variety of partner proteins. Analysis of the apoflavodoxin inner interfaces reveals that those becoming destabilized in the intermediate are more polar than other inner interfaces of the protein. Natively folded proteins contain hydrophobic cores formed by the packing of hydrophobic surfaces, while natively unfolded proteins are rich in polar residues. The structure of the apoflavodoxin thermal intermediate suggests that the regions of natively folded proteins that are easily responsive to thermal activation may contain cores of intermediate hydrophobicity.     

Transient intermediary states with high and low folding probabilities in the apparent two-state folding equilibrium of ACBP at low pH

Measurements of the stability as a function of pH for the acyl-coenzyme A binding protein (ACBP) has shown a significant difference in the pH transition midpoint measured by NMR spectroscopy at pH 3.12 and the transition midpoint measured at pH 2.92 and 2.97 by circular dichroism and by fluorescence spectroscopy, respectively. A similar behavior has not been observed in other proteins. It is suggested that these differences arise because the population of the unfolded molecules still contains significant amounts of native like secondary and tertiary structure. NMR spectroscopy measures the concentration of the two components of the folding unfolding equilibrium individually, whereas circular dichroism and fluorescence measure the concentration of the conformations of the light-absorbing chromophores present in both the folded and the unfolded molecules. In the narrow pH range, nascent structure can be detected as the average amount of secondary structure per unfolded molecule and hydrophobic interactions in the population of unfolded molecules. These structures are not observable immediately by NMR spectroscopy; however, a chemical shift analysis of the peptide backbone (13)C chemical shift indicates strongly the existence of short-lived and transient helical structures at pH 2.3. Magnetization transfer studies have been applied to study the equilibrium between folded and unfolded ACBP near the pH transition point measured by NMR. This study has shown that there are two categories of subpopulations in the population of unfolded ACBP. One for which magnetization can be transferred to the folded form during the folding process, and one for which transfer is not observed. The molecules of the latter population of unfolded protein apparently, do not fold within the time-frame of the magnetization transfer experiment. This result suggests the existence of a subpopulation of the acid-unfolded protein molecules with a high propensity for folding. It is suggested that in this subpopulation, a particular set of native like interactions in the peptide backbone and between side-chains in the peptide chain have to be formed.     

Effects of urea and guanidine · HCl on the folding and unfolding of pancreatic trypsin inhibitor

Concentrated solutions of urea and of guanidine · HCl produced a random spectrum of single-disulphide forms of the polypeptide chain of the pancreatic trypsin inhibitor. Guanidine · HCl also unfolded completely, with accompanying interchange of disulphide bonds, the two-disulphide form of this protein in the native-like conformation; urea produced an equilibrium mixture in which one-quarter of the molecules had the native-like conformation and disulphide bonds. The unfolded forms of the protein in the denaturants were very flexible polypeptide chains. The observations suggest that urea and guanidine · HCl are denaturants because they produce essentially equally favourable solvation of all portions of a polypeptide.The energetics of the conformational transitions involved in folding and unfolding of the inhibitor were determined in urea and compared with those observed in its absence. The denaturant lowers the stability of the native, folded inhibitor relative to that of the reduced, unfolded state by 6.5 kilocalories per mole; the greatest part of this apparent free-energy difference was expressed at the two-disulphide stage of folding. The results are consistent with other indications that most of the favourable interactions stabilizing the native conformation of this protein are not encountered until the final stage of folding, when all may occur simultaneously.The unfolded one- and two-disulphide species produced in guanidine · HCl were trapped, and their rearrangement to the normal intermediates followed after removal of the denaturant. The random single-disulphide species, with one exception, reverted very rapidly to the non-random spectrum of intermediates normally observed during folding; this confirms that these species are normally rapidly interconverted and that normal refolding of the reduced protein is not dependent kinetically upon residual stable conformation in the reduced protein. The unfolded two-disulphide species refolded to the native-like conformation more slowly, but appeared to pass through the same intermediates normally observed during refolding from the fully reduced state.     

The Folding Free-Energy Surface of HIV-1 Protease: Insights into the Thermodynamic Basis for Resistance to Inhibitors

Spontaneous mutations at numerous sites distant from the active site of human immunodeficiency virus type 1 protease enable resistance to inhibitors while retaining enzymatic activity. As a benchmark for probing the effects of these mutations on the conformational adaptability of this dimeric β-barrel protein, the folding free-energy surface of a pseudo-wild-type variant, HIV-PR^?, was determined by a combination of equilibrium and kinetic experiments on the urea-induced unfolding/refolding reactions. The equilibrium unfolding reaction was well described by a two-state model involving only the native dimeric form and the unfolded monomer. The global analysis of the kinetic folding mechanism reveals the presence of a fully folded monomeric intermediate that associates to form the native dimeric structure. Independent analysis of a stable monomeric version of the protease demonstrated that a small-amplitude fluorescence phase in refolding and unfolding, not included in the global analysis of the dimeric protein, reflects the presence of a transient intermediate in the monomer folding reaction. The partially folded and fully folded monomers are only marginally stable with respect to the unfolded state, and the dimerization reaction provides a modest driving force at micromolar concentrations of protein. The thermodynamic properties of this system are such that mutations can readily shift the equilibrium from the dimeric native state towards weakly folded states that have a lower affinity for inhibitors but that could be induced to bind to their target proteolytic sites. Presumably, subsequent secondary mutations increase the stability of the native dimeric state in these variants and, thereby, optimize the catalytic properties of the resistant human immunodeficiency virus type 1 protease.     

Two-dimensional 1H nuclear magnetic resonance study of the (5-55) single-disulphide folding intermediate of bovine pancreatic trypsin inhibitor

An analogue of the bovine pancreatic trypsin inhibitor (BPTI) folding intermediate that contains only the disulphide bond between Cys5 and Cys55 has been prepared in Escherichia coli by protein engineering methods, with the other four Cys residues replaced by Ser. Two-dimensional 1H nuclear magnetic resonance studies of the analogue have resulted in essentially complete resonance assignments of the folded form of the protein. The folded protein has a compact conformation that is structurally very similar to that of native BPTI, although there are subtle differences and the folded conformation is not very stable. Approximately half of the protein molecules are unfolded at 3 degrees C, and this proportion increases at higher temperatures. The folded and unfolded conformations are in slow exchange. The conformational properties of the analogue can explain many aspects of the kinetic role that the normal (5-55) intermediate plays in the folding of BPTI.     

The place of inactivated actin and its kinetic predecessor in actin folding-unfolding

The kinetics of actin unfolding induced by guanidine hydrochloride of different concentrations was studied. The parametric representation of the kinetic dependencies of tryptophan fluorescence intensity changes recorded at two wavelengths allowed us to detect and characterize a new essentially unfolded kinetic intermediate. Its characteristics suggested that this intermediate state is a premolten globule. It was shown that the equilibrium transition between inactivated and completely unfolded states is also a two-step process and proceeds via an essentially unfolded kinetic intermediate. The new kinetic pathway of actin unfolding--refolding was proposed. According to it, the founded essentially unfolded kinetic state is the on-pathway intermediate, while inactivated actin is the off-pathway misfolded state stabilized by aggregation of partially folded macromolecules of protein.     

Mechanism and thermodynamics of guanidinium chloride-induced denaturation of ALS-associated mutant Cu,Zn superoxide dismutases

Mutations in human copper zinc superoxide dismutase (hSOD) that are associated with amyotrophic lateral sclerosis (ALS) have been proposed to destabilize the protein and thereby enhance toxic protein aggregation. In previous studies, denaturation of metallated (holo) hSODs was found to be irreversible, and complicated by the formation of intermolecular disulfide bonds. Here, ALS-associated mutations (E100G, G93A, G85R and A4V) are introduced into a pseudo wild-type background containing no free cysteine residues. The guanidinium chloride-induced denaturation of the holo proteins is generally found to be highly reversible (except for A4V, which tended to aggregate), enabling quantitative analysis of the effects of the mutations on protein stability. Denaturation and renaturation curves were monitored by tryptophan fluorescence, circular dichroism, enzyme activity, chemical cross-linking and analytical sedimentation, as a function of equilibration time and protein concentration. There is strong kinetic hysteresis, with curves requiring exceptionally long times (many days for pseudo wild-type) to reach equilibrium, and evidence for the formation of kinetic and equilibrium intermediate(s), which are more highly populated at lower protein concentrations. The effects of metal dissociation were included in the data fitting. The full protein concentration dependence is best described using a three-state model involving metallated native dimer, metallated monomeric intermediate and unfolded monomers with no bound metals; however, at high protein concentrations the unfolding approaches a two-state transition with metal binding to both the native dimers and unfolded monomers. We show that the E100G, G93A and G85R mutations decrease overall protein stability, largely by decreasing monomer stability with little effect on dimer dissociation. Comparison of the chemical denaturation data with ALS disease characteristics suggests that aggregation of some mutant hSOD may occur through increased population of partially folded states that are less stable than the monomeric intermediate and accessed from the destabilized holo protein.     

Insights into signal transduction revealed by the low resolution structure of the FixJ response regulator

P19(INK4d) is a tumor suppressing protein and belongs to a family of cyclin D-dependent kinase inhibitors of CDK4 and CDK6, which play a key role in human cell cycle control. P19 comprises ten alpha-helices arranged sequentially in five ankyrin repeats forming an elongated structure. This rather simple topology, combined with its physiological function, makes p19 an interesting model protein for folding studies. Urea-induced unfolding transitions monitored by far-UV CD and phenylalanine fluorescence coincide and suggest a two-state mechanism for equilibrium unfolding. Unfolding of p19 followed by 2D (1)H-(15)N HSQC spectra revealed a third species at moderate urea concentrations with a maximum population of about 30 % near 3.2 M urea. It shows poor chemical shift dispersion, but cross-peaks emerge for some residues that are distinct from the native or unfolded state. This equilibrium intermediate either arises only at high protein concentrations (as in the NMR experiment) or has similar optical properties to the unfolded state. Stopped-flow far-UV CD experiments at various urea concentrations revealed that alpha-helical structure is formed in three phases, of which only the fastest phase (10 s(-1)) depends upon the urea concentration. The kinetic of the slowest phase (0.017 s(-1)) can be resolved by 1D real-time NMR and accelerated by cyclophilin. It is limited in rate by prolyl isomerization, and native-like ordered structure cannot form prior to this isomerization. The two fast phases lead to 83 % native protein within the dead time of the NMR experiment. In contrast to p16(INK4a), which exhibits only a marginal stability and high unfolding rates, p19 shows the expected stability for a protein of this size with a clear kinetic barrier between the unfolded and folded state. Therefore, p19 might complement the function of less stable INK4 inhibitors in cell cycle control under unfavorable conditions.     

Destabilization of the Escherichia coli RNase H kinetic intermediate: switching between a two-state and three-state folding mechanism

Escherichia coli RNase H folds through a partially folded kinetic intermediate that mirrors a rarely populated, partially unfolded form detectable by native-state hydrogen exchange under equilibrium conditions. Residue 53 is at the interface of two helices known to be structured in this intermediate. Kinetic refolding studies on mutant proteins varying in size and hydrophobicity at residue 53 support a contribution of hydrophobicity to the stabilities of the kinetic intermediate and the transition state. Packing interactions also play a significant role in the stability of these two states, though they play a much larger role in the native-state stability. One dramatic mutation, I53D, results in the conversion from a three-state to a two-state folding mechanism, which is explained most easily through a simple destabilization of the kinetic intermediate such that it is no longer stable with respect to the unfolded state. These results demonstrate that interactions that stabilize an intermediate can accelerate folding if these same interactions are present in the transition state. Our results are consistent with a hierarchical model of folding, where the intermediate consists of native-like interactions, is on-pathway, and is productive for folding.     

Guanidine-induced equilibrium unfolding of a homo-hexameric enzyme 4-oxalocrotonate tautomerase (4-OT)

4-Oxalocrotonate tautomerase (4-OT) is a bacterial enzyme that is comprised of 6 identical 62 amino acid subunits. The 4-OT enzyme is an attractive model system in which to study the interrelationship between protein folding, subunit assembly, and catalytic function. Here we report on the GuHCl-induced equilibrium unfolding properties of wild-type 4-OT using catalytic activity measurements and using far-UV circular dichroism (CD) spectroscopy. We demonstrate that the unfolding of wild-type 4-OT in 50 mM phosphate buffers containing 6 M GuHCl is reversible at pHs 6.0, 7.4, and 8.5; and we find that there is both an enzyme concentration dependence and a pH dependence to the equilibrium unfolding properties of 4-OT. Our data suggests that the GuHCl-induced unfolding of 4-OT in 50 mM phosphate buffer at pH 8.5 can be modeled as a two-state process involving folded hexamer and unfolded monomer. On the basis of this model, we determined a free-energy value for the unfolding of 4-OT at pH 8.5 to be 68.7 +/- 3.2 kcal/mol under standard state conditions (1 M hexamer). In 50 mM phosphate buffers at pHs 6.0 and 7.4, only the catalytic activity denaturation curves are consistent with a two-state folding mechanism. At the lower pHs the far-UV-CD transitions are not well described by a two-state model. Our results at pHs 6.0 and 7.4 suggest that intermediate state(s) are populated in the equilibrium unfolding reaction at these lower pHs and that these intermediate state(s) have some helical content but no measurable catalytic activity.