Slow folding of a three-helix protein via a compact intermediate

The KIX domain of CREB binding protein (CBP) forms a small three-helix bundle which folds autonomously. Previous equilibrium unfolding experiments led to the suggestion that folding may not be strictly two-state. To investigate the folding mechanism in more detail, the folding kinetics of KIX have been studied by urea jump fluorescence-detected stopped-flow experiments. Clear evidence for an intermediate is obtained from the plot of the natural log of the observed rate constant versus denaturant concentration, the chevron plot, and from analysis of the initial fluorescence amplitudes of the stopped-flow experiments. The chevron plot exhibits a change in shape, rollover, at low denaturant concentrations, characteristic of the formation of an intermediate. The kinetic data can be fit to a three-state model involving a compact intermediate. An on-pathway model predicts that the position of the intermediate lies close to the native state. The folding rate in the absence of denaturant is 260 s(-)(1) at pH 7.5 and 25 degrees C. This is significantly slower than the rates of other helical proteins similar in size. The slow folding may be due to the necessity of forming a buried polar interaction in the native state. The potential functional significance of the folding intermediate is discussed.     

Reshaping the folding energy landscape by chloride salt: impact on molten-globule formation and aggregation behavior of carbonic anhydrase

During chemical denaturation different intermediate states are populated or suppressed due to the nature of the denaturant used. Chemical denaturation by guanidine-HCl (GuHCl) of human carbonic anhydrase II (HCA II) leads to a three-state unfolding process (Cm,NI=1.0 and Cm,IU=1.9 M GuHCl) with formation of an equilibrium molten-globule intermediate that is stable at moderate concentrations of the denaturant (1-2 M) with a maximum at 1.5 M GuHCl. On the contrary, urea denaturation gives rise to an apparent two-state unfolding transition (Cm=4.4 M urea). However, 8-anilino-1-naphthalene sulfonate (ANS) binding and decreased refolding capacity revealed the presence of the molten globule in the middle of the unfolding transition zone, although to a lesser extent than in GuHCl. Cross-linking studies showed the formation of moderate oligomer sized (300 kDa) and large soluble aggregates (>1000 kDa). Inclusion of 1.5 M NaCl to the urea denaturant to mimic the ionic character of GuHCl leads to a three-state unfolding behavior (Cm,NI=3.0 and Cm,IU=6.4 M urea) with a significantly stabilized molten-globule intermediate by the chloride salt. Comparisons between NaCl and LiCl of the impact on the stability of the various states of HCA II in urea showed that the effects followed what could be expected from the Hofmeister series, where Li+ is a chaotropic ion leading to decreased stability of the native state. Salt addition to the completely urea unfolded HCA II also led to an aggregation prone unfolded state, that has not been observed before for carbonic anhydrase. Refolding from this state only provided low recoveries of native enzyme.     

Effects of denaturants at low concentrations on the reversible denaturation of staphylococcal nuclease

Three very unstable mutant forms of staphylococcal nuclease were used to quantitate the change in the apparent equilibrium constant for reversible denaturation (Kapp) as a function of denaturant concentration for a variety of different denaturing solutes. The value of this equilibrium constant in the absence of denaturant (Kapp,0) was determined by renaturation of the mutant proteins with a combination of glycerol and calcium ion, the latter of which binds at the active site in the native conformation. Because Kapp,0 fell in the easily measurable range between 0.1 and 1, the change in Kapp, and thus the change in free energy (delta Gapp), at very low concentrations of denaturants could be accurately measured. With guanidine hydrochloride (GuHCl), the rate of change of the apparent free energy of denaturation with respect to denaturant concentration (d(delta Gapp)/dCGuHCl or mGuHCl) was found to be remarkably constant down to zero denaturant concentration, even though this value was different for each of the three proteins. Unlike GuHCl, urea exhibited a slightly reduced value of d delta Gapp/dCurea at low concentrations. Results with a number of thiocyanate, perchlorate, and iodide salts confirmed that the Hofmeister series holds for concentrations below 0.1 M; that is, with regard to efficacy as a denaturant SCN- greater than ClO4- greater than I- and Li+,NH4+ greater than Na+,K+. However, all of the chaotropic salts analyzed exhibited markedly increased values of d(delta Gapp)/dCsalt at concentrations below 0.2 M. One possible explanation for these large deviations from a linear relationship between delta Gapp and salt concentration is that weak binding or adsorption of chaotropic anions is occurring at a saturable number of sites in hydrophobic regions of the denatured state.     

Distinguishing between two-state and three-state models for ubiquitin folding

Conflicting results exist regarding whether the folding of mammalian ubiquitin at 25 degrees C is a simple, two-state kinetic process or a more complex, three-state process with a defined kinetic intermediate. We have measured folding rate constants up to about 1000 s(-1) using conventional rapid mixing methods in single-jump, double-jump, and continuous-flow modes. The linear dependence of folding rates on denaturant concentration and the lack of an unaccounted "burst-phase" change for the fluorescence signal indicate that a two-state folding model is adequate to describe the folding pathway. This behavior also is seen for folding in the presence of the stabilizing additives 0.23 M sodium sulfate and 1 M sodium chloride. These results stress the need for caution in interpreting deviations from ideal two-state "chevron" behavior when folding is heterogeneous or folding rate constants are near the detection limit.     

Thermodynamics and Kinetics of Single-Chain Monellin Folding with Structural Insights into Specific Collapse in the Denatured State Ensemble

Proteins, which behave as random coils in high denaturant concentrations undergo collapse transition similar to polymers on denaturant dilution. We study collapse in the denatured ensemble of single-chain monellin (MNEI) using a coarse-grained protein model and molecular dynamics simulations. The model is validated by quantitatively comparing the computed guanidinium chloride and pH-dependent thermodynamic properties of MNEI folding with the experiments. The computed properties such as the fraction of the protein in the folded state and radius of gyration (R_g) as function of [GuHCl] are in good agreement with the experiments. The folded state of MNEI is destabilized with an increase in pH due to the deprotonation of the residues Glu24 and Cys42. On decreasing [GuHCl], the protein in the unfolded ensemble showed specific compaction. The R_g of the protein decreased steadily with [GuHCl] dilution due to increase in the number of native contacts in all the secondary structural elements present in the protein. MNEI folding kinetics is complex with multiple folding pathways and transiently stable intermediates are populated in these pathways. In strong stabilizing conditions, the protein in the unfolded ensemble showed transition to a more compact unfolded state where R_g decreased by ≈ 17% due to the formation of specific native contacts in the protein. The intermediate populated in the dominant MNEI folding pathway satisfies the structural features of the dry molten globule inferred from experiments.     

Native Contact Density and Nonnative Hydrophobic Effects in the Folding of Bacterial Immunity Proteins

The bacterial colicin-immunity proteins Im7 and Im9 fold by different mechanisms. Experimentally, at pH 7.0 and 10°C, Im7 folds in a three-state manner via an intermediate but Im9 folding is two-state-like. Accordingly, Im7 exhibits a chevron rollover, whereas the chevron arm for Im9 folding is linear. Here we address the biophysical basis of their different behaviors by using native-centric models with and without additional transferrable, sequence-dependent energies. The Im7 chevron rollover is not captured by either a pure native-centric model or a model augmented by nonnative hydrophobic interactions with a uniform strength irrespective of residue type. By contrast, a more realistic nonnative interaction scheme that accounts for the difference in hydrophobicity among residues leads simultaneously to a chevron rollover for Im7 and an essentially linear folding chevron arm for Im9. Hydrophobic residues identified by published experiments to be involved in nonnative interactions during Im7 folding are found to participate in the strongest nonnative contacts in this model. Thus our observations support the experimental perspective that the Im7 folding intermediate is largely underpinned by nonnative interactions involving large hydrophobics. Our simulation suggests further that nonnative effects in Im7 are facilitated by a lower local native contact density relative to that of Im9. In a one-dimensional diffusion picture of Im7 folding with a coordinate- and stability-dependent diffusion coefficient, a significant chevron rollover is consistent with a diffusion coefficient that depends strongly on native stability at the conformational position of the folding intermediate.     

The cooperativity of burst phase reactions explored.

The denaturant-dependence of the major, observable relaxation rates for folding (kobs) of ribonuclease HI from Escherichia coli (RNase H) and phage T4 lysozyme (T4L) reveal that, for both proteins, folding begins with the rapid and transient accumulation of intermediate species in a "burst phase" which precedes the rate-limiting formation of the native state; this is evidenced by a "rollover" in the folding limb of the rate profiles (kobs versus denaturant, or chevron plot). These rate profiles are most simply described by a three-state mechanism (unfolded-to-intermediate-to-native), which implies that the burst phase represents a transition between two distinct thermodynamic states. It is shown here that the equilibrium properties of these burst phase reactions can be equally well modeled by a mechanism involving a continuum of states where the free energy of each state is linearly related to its m-value (the parameter describing the linear relationship between free energy and denaturant). A numerical model is also developed to describe the time evolution of such a system, which exhibits nearly perfect exponential behavior. Both models emphasize how a continuum of states operating under a linear free energy relationship may behave like a two state system. Such a scheme finds experimental justification from an interpretation of recent native state hydrogen exchange data. The analytical model described for a continuum can account for the observed kinetic profiles of several other model proteins. The results, however, appear context specific, suggesting that burst phase reactions are not entirely random and non-specific. The results reported in this study have important implications for the concept of cooperativity in protein folding reactions.     

Solvent denaturation and stabilization of globular proteins

Statistical thermodynamic theory has recently been developed to account for the stabilities of globular proteins. Here we extend that work to predict the effects of solvents on protein stability. Folding is assumed to be driven by solvophobic interactions and opposed by conformational entropy. The solvent dependence of the solvophobic interactions is taken from transfer experiments of Nozaki and Tanford on amino acids into aqueous solutions of urea or guanidine hydrochloride (GuHCl). On the basis of the assumption of two pathways involving collapse and formation of a core, the theory predicts that increasing denaturant should lead to a two-state denaturation transition (i.e., there is a stable state along each path separated by a free energy barrier). The denaturation midpoint is predicted to occur at higher concentrations of urea than of GuHCl. At neutral pH, the radius of the solvent-denatured state should be much smaller than for a random-flight chain and increase with either denaturant concentration or number of polar residues in the chain. A question of interest is whether free energies of folding should depend linearly on denaturant, as is often assumed. The free energy is predicted to be linear for urea but to have some small curvature for GuHCl. Predicted slopes and exposed areas of the unfolded states are found to be in generally good agreement with experiments. We also discuss stabilizing solvents and compare thermal with solvent denaturation.     

The transition state for folding of a peripheral subunit-binding domain contains robust and ionic-strength dependent characteristics

The denaturant dependencies of the folding and unfolding kinetics were used to characterize the structure of the transition state for folding of E3BD, a peripheral subunit-binding domain. For the majority of E3BD mutants, the Phi-values calculated at 298 K from the analysis of chevron plots were in good agreement with those previously determined at 325 K using Arrhenius analysis. This agreement further demonstrates the general robustness of Phi-value analyses, since different experiments, methods of denaturation and thermodynamic assumptions were used to determine each set of Phi(F) values. The structure of the transition state for folding was grossly conserved at 298 K and 325 K, with residues in Helix I playing a lesser role in folding than those located in the 3(10) helix, disordered loop and Helix II. However, the energetic contributions of a cluster of basic residues close to the N-terminus and Helix I, which are an integral part of the ligand-binding site, were susceptible to ionic strength effects because of electrostatic strain in native and transition states of E3BD at low ionic strength. We found no evidence of the downhill folding previously proposed for E3BD, even though the conditions employed in this study significantly increased the energetic bias towards the native state.     

Methods for the accurate estimation of confidence intervals on protein folding phi-values

Phi-values provide an important benchmark for the comparison of experimental protein folding studies to computer simulations and theories of the folding process. Despite the growing importance of phi measurements, however, formulas to quantify the precision with which phi is measured have seen little significant discussion. Moreover, a commonly employed method for the determination of standard errors on phi estimates assumes that estimates of the changes in free energy of the transition and folded states are independent. Here we demonstrate that this assumption is usually incorrect and that this typically leads to the underestimation of phi precision. We derive an analytical expression for the precision of phi estimates (assuming linear chevron behavior) that explicitly takes this dependence into account. We also describe an alternative method that implicitly corrects for the effect. By simulating experimental chevron data, we show that both methods accurately estimate phi confidence intervals. We also explore the effects of the commonly employed techniques of calculating phi from kinetics estimated at non-zero denaturant concentrations and via the assumption of parallel chevron arms. We find that these approaches can produce significantly different estimates for phi (again, even for truly linear chevron behavior), indicating that they are not equivalent, interchangeable measures of transition state structure. Lastly, we describe a Web-based implementation of the above algorithms for general use by the protein folding community.     

Formation of on- and off-pathway intermediates in the folding kinetics of Azotobacter vinelandii apoflavodoxin

The folding kinetics of the 179-residue Azotobacter vinelandii apoflavodoxin, which has an alpha-beta parallel topology, have been followed by stopped-flow experiments monitored by fluorescence intensity and anisotropy. Single-jump and interrupted refolding experiments show that the refolding kinetics involve four processes yielding native molecules. Interrupted unfolding experiments show that the two slowest folding processes are due to Xaa-Pro peptide bond isomerization in unfolded apoflavodoxin. The denaturant dependence of the folding kinetics is complex. Under strongly unfolding conditions (>2.5 M GuHCl), single exponential kinetics are observed. The slope of the chevron plot changes between 3 and 5 M denaturant, and no additional unfolding process is observed. This reveals the presence of two consecutive transition states on a linear pathway that surround a high-energy on-pathway intermediate. Under refolding conditions, two processes are observed for the folding of apoflavodoxin molecules with native Xaa-Pro peptide bond conformations, which implies the population of an intermediate. The slowest of these two processes becomes faster with increasing denaturant concentration, meaning that an unfolding step is rate-limiting for folding of the majority of apoflavodoxin molecules. It is shown that the intermediate that populates during refolding is off-pathway. The experimental data obtained on apoflavodoxin folding are consistent with the linear folding mechanism I(off) <==> U <==> I(on) <== > N, the off-pathway intermediate being the molten globule one that also populates during equilibrium denaturation of apoflavodoxin. The presence of such on-pathway and off-pathway intermediates in the folding kinetics of alpha-beta parallel proteins is apparently governed by protein topology.     

Protein stabilization by specific binding of guanidinium to a functional arginine-binding surface on an SH3 domain

Guanidinium hydrochloride (GuHCl) at low concentrations significantly stabilizes the Fyn SH3 domain. In this work, we have demonstrated that this stabilizing effect is manifested through a dramatic (five- to sixfold) decrease in the unfolding rate of the domain with the folding rate being affected minimally. This behavior contrasts to the effect of NaCl, which stabilizes this domain by accelerating the folding rate. These data imply that the stabilizing effect of GuHCl is not predominantly ionic in nature. Through NMR studies, we have identified a specific binding site for guanidinium, and we have determined a dissociation constant of 90 mM for this interaction. The guanidinium-binding site overlaps with a functionally important arginine-binding pocket on the domain surface, and we have shown that GuHCl is a specific inhibitor of the peptide-binding activity of the domain. A different SH3 domain possessing a similar arginine-binding pocket is also thermodynamically stabilized by GuHCl. These data suggest that many proteins that normally interact with arginine-containing ligands may also be able to specifically interact with guanidinium. Thus, some caution should be used when using GuHCl as a denaturant in protein folding studies. Since arginine-mediated interactions are often important in the energetics of protein-protein interactions, our observations could be relevant for the design of small molecule inhibitors of protein-protein interactions.     

Ionic-strength-dependent effects in protein folding: analysis of rate equilibrium free-energy relationships and their interpretation

The traditional approach to studying protein folding involves applying a perturbation, usually denaturant or mutation, and determining the effect upon the free energy of folding, DeltaG0, and the activation free energy, DeltaG(not equal). Data collected as a function of the perturbation can be used to construct rate equilibrium free-energy relationships, which report on the development of interactions in the transition state for folding. We examine the use of the ionic-strength-dependent rate equilibrium free-energy relationship in protein folding using the N-terminal domain of L9, a small alpha-beta protein, as a model system. Folding is two-state for the range of ionic strength examined, 0.045-1.52 M. The plot of DeltaG(not equal) versus DeltaG0 is linear (r2= 0.918), with a slope equal to 0.45. The relatively low value of the slope indicates that the ionic-strength-dependent interactions are modestly developed in the transition state. The slope is, however, greater than that of a plot of DeltaG(not equal) versus DeltaG0 constructed by varying pH, thus demonstrating directly that ionic-strength-dependent studies probe more than simple electrostatic interactions. Potential transition movement was probed by analysis of the denaturant, ionic strength cross-interaction parameters. The values are small but nonzero and positive, suggesting a small shift of the transition state toward the native state as the protein is destabilized, i.e., Hammond behavior. The complications that arise in the interpretation of ionic-strength-dependent rate equilibrium free-energy relationships are discussed, and it is concluded that the ionic-strength-dependent studies do not provide a reliable indicator of the role of electrostatic interactions. Complications include incomplete screening of electrostatic interactions, specific ion binding, Hofmeister effects, and the potential presence of electrostatic interactions in the denatured state ensemble.     

Correspondence between anomalous m- and DeltaCp-values in protein folding

Proteins folding according to a classical two-state system characteristically show V-shaped chevron plots. We have previously interpreted the symmetrically curved chevron plot of the protein U1A as denaturant-dependent movements in the position of the transition state ensemble (TSE). S6, a structural analog of U1A, shows a classical V-shaped chevron plot indicative of straightforward two-state kinetics, but the mutant LA30 has a curved unfolding limb, which is most consistent with TSE mobility. The kinetic m-values (derivatives of the rate constants with respect to denaturant concentration) in themselves depend on denaturant concentration. To obtain complementary information about putative mobile TSEs, we have carried out a thermodynamic analysis of the three proteins, based on data for refolding and unfolding over the range 10 degrees C to 70 degrees C. The data at all temperatures can be fitted to two-state model systems. Importantly, for all three proteins the activation heat capacities are, within error, identical to the heat capacities measured in independent experiments under equilibrium conditions. Although the equilibrium heat capacities are essentially invariant with regard to denaturant concentration, the activation heat capacities, similar to the structurally equivalent kinetic m-values, show marked denaturant dependence. Furthermore, the values of beta++ at different denaturant concentrations measured by m-values and by heat capacity values are very similar. These observations are consistent with significant transition state movements within the framework of two-state folding. The basis for TSE movement appears to be enthalpic rather than entropic, suggesting that the binding energy of denaturant-protein interactions is a major determinant of the response of energy landscape contours to changing environments.     

How do chemical denaturants affect the mechanical folding and unfolding of proteins?

We present the first single-molecule atomic force microscopy study on the effect of chemical denaturants on the mechanical folding/unfolding kinetics of a small protein GB1 (the B1 immunoglobulin-binding domain of protein G from Streptococcus). Upon increasing the concentration of the chemical denaturant guanidinium chloride (GdmCl), we observed a systematic decrease in the mechanical stability of GB1, indicating the softening effect of the chemical denaturant on the mechanical stability of proteins. This mechanical softening effect originates from the reduced free-energy barrier between the folded state and the unfolding transition state, which decreases linearly as a function of the denaturant concentration. Chemical denaturants, however, do not alter the mechanical unfolding pathway or shift the position of the transition state for mechanical unfolding. We also found that the folding rate constant of GB1 is slowed down by GdmCl in mechanical folding experiments. By combining the mechanical folding/unfolding kinetics of GB1 in GdmCl solution, we developed the “mechanical chevron plot” as a general tool to understand how chemical denaturants influence the mechanical folding/unfolding kinetics and free-energy diagram in a quantitative fashion. This study demonstrates great potential in combining chemical denaturation with single-molecule atomic force microscopy techniques to reveal invaluable information on the energy landscape underlying protein folding/unfolding reactions.     

GuHCl and NaCl-dependent hydrogen exchange in MerP reveals a well-defined core with an unusual exchange pattern

We have analysed hydrogen exchange at amide groups to characterise the energy landscape of the 72 amino acid residue protein MerP. From the guanidine hydrochloride (GuHCl) dependence of exchange in the pre-transitional region we have determined free energy values of exchange (DeltaG(HX)) and corresponding m-values for individual amide protons. Detailed analysis of the exchange patterns indicates that for one set of amide protons there is a weak dependence on denaturant, indicating that the exchange is dominated by local fluctuations. For another set of amide protons a linear, but much stronger, denaturant dependence is observed. Notably, the plots of free energy of exchange versus [GuHCl] for 16 amide protons show pronounced upward curvature, and a close inspection of the structure shows that these residues form a well-defined core in the protein. The hydrogen exchange that was measured at various concentrations of NaCl shows an apparent selective stabilisation of this core. Detailed analysis of this exchange pattern indicates that it may originate from selective destabilisation of the unfolded state by guanidinium ions and/or selective stabilisation of the core in the native state by chloride ions.     

Equilibrium denaturation of recombinant porcine growth hormone.

Equilibrium denaturation of recombinant porcine growth hormone (pGH) derived from Escherichia coli using the denaturant guanidine hydrochloride (GuHCl) was followed by ultraviolet absorption spectroscopy, intrinsic fluorescence, far-ultraviolet circular dichroism, and size-exclusion chromatography. The normalized denaturation transition curves for each of the above methods were not coincident; denaturation resulted in an initial disruption of the tertiary structure, whereas secondary structure and degree of compactness were disrupted at higher concentrations of denaturant. Size-exclusion chromatography also detected an associated form of pGH at intermediate GuHCl concentrations. These findings conclusively show that pGH does not follow a simple two-state folding mechanism but are consistent with the framework model of folding. Stable intermediates observed were similar to those seen in other nonhuman growth hormones and are characterized as compact and largely alpha-helical yet lacking nativelike tertiary structure.     

Evidence for the existence of an unfolding intermediate of thyroglobulin during denaturation by guanidine hydrochloride

The unfolding of bovine thyroglobulin (Tg) in guanidine hydrochloride (GuHCl) solution was studied by following the fluorescence and circular dichroism. With increasing GuHCl concentrations, the emission maximum of the intrinsic fluorescence clearly red-shifted in two stages. At concentrations of GuHCl less than 1.2 M or more than 1.6 M, the red shift showed a cooperative manner. At concentrations of GuHCl between 1.2 and 1.6 M, an unfolding intermediate was observed. It was further characterized by the increased binding of the fluorescence probe 1-anilinonaphthalene-8-sulfonic acid (ANS). No significant changes of the secondary structure were indicated by CD spectra at the concentrations of GuHCl between 1.2 and 1.6 M. The conformation of this state has properties similar to those of a molten globule state which may exist in the folding pathway of the protein. Further changes in fluorescence properties occurred at concentrations of denaturant higher than 1.6 M with a significant red shift of the emission maximum from 340 to 347 nm and a marked decrease in ANS binding. This in vitro study gave a clue to understand the biochemical mechanism for the occurrence of aggregation and molecular chaperone binding during Tg maturation in vivo.     

Free energy changes in denaturation of ribonuclease A by mixed denaturants. Effects of combinations of guanidine hydrochloride and one of the denaturants lithium bromide, lithium chloride, and sodium bromide

The denaturation of ribonuclease A by guanidine hydrochloride, lithium bromide, and lithium chloride and by mixed denaturants consisting of guanidine hydrochloride and one of the denaturants lithium chloride, lithium bromide, and sodium bromide was followed by difference spectral measurements at pH 4.8 and 25 degrees C. Both components of mixed denaturant systems enhance each other's effect in unfolding the protein. The effect of lithium bromide on the midpoint of guanidine hydrochloride denaturation transition is approximately the sum of the effects of the constituent ions. For all the mixed denaturants tested, the dependence of the free energy change on denaturation is linear. The conformational free energy associated with the guanidine hydrochloride denaturation transition in water is 7.5 +/- 0.1 kcal mol-1, and it is unchanged in the presence of low concentrations of lithium bromide, lithium chloride, and sodium bromide which by themselves are not concentrated enough to unfold the protein. The conformational free energy associated with the lithium bromide denaturation transition in water is 11.7 +/- 0.3 kcal mol-1, and it is not affected by the presence of low concentrations of guanidine hydrochloride which by themselves do not disrupt the structure of native ribonuclease A.     

Defining folding and unfolding reactions of apocytochrome b5 using equilibrium and kinetic fluorescence measurements.

The refolding and unfolding kinetics of a soluble domain of apocytochrome b5 extending from residue 1 to 104 have been characterized using stopped flow and equilibrium-based fluorescence methods. The isolated apoprotein unfolds reversibly in the presence of GuHCl. From cooperative unfolding curves, the conformational stability (Delta G(uw)), in the absence of denaturant, is estimated to be 11.6 +/- 1.5 kJ mol-1 at 10 degrees C. The stability of apocytochrome b5 is lower than that of the corresponding form of the holoprotein (Delta G approximately 25 kJ mol-1) and exhibits a transition midpoint at 1.6 M GuHCl. Kinetic studies support the concept of a two-state model with both unfolding and refolding rates showing an exponential dependence on denaturant concentration with no evidence of the formation of transient intermediates in either limb of the chevron plot. Apocytochrome b5 is therefore an example of a protein in which both kinetics and equilibria associated with folding are described by a two-state model. The values of mku and mkf obtained from kinetic analysis are an indication of a transition state (mku/meq of 0.29) that resembles the native form by retaining similar solvent accessibility and many of the noncovalent interactions found in the apoprotein. The changes in heat capacity support a transition state that resembles the apoprotein with a value for Delta Cpf of -3.6 kJ mol-1 K-1 estimated for the refolding reaction. From these measurements, a model of refolding that involves the rapid nucleation of hydrophobic residues around Trp26 is suggested as a major event in the formation of the native apoprotein.