Unfolding kinetics of dimeric creatine kinase measured by stopped-flow small angle X-ray scattering

The unfolding kinetics of creatine kinase (CK) in various concentrations of urea or guanidine hydrochloride (GuHCl) was investigated by small angle X-ray scattering (SAXS) using synchrotron radiation, and compared with the results obtained by stopped-flow circular dichroism and stopped-flow fluorescence. Using the three methods, the unfolding kinetics of CK fits well to a single exponential function with similar apparent rate constants, and the amplitude of the monophasic kinetics covers the entire range of the equilibrium values. The results suggest that the unfolding time-course measured by integrated SAXS intensity corresponds to the intramolecular loss of globular structure. The refolding kinetics of 8 M urea-denatured CK was monitored in a stopped-flow apparatus by following the spectroscopic changes, and the final state of folding was investigated by SAXS. A substantial part of the ellipticity is recovered within a burst phase, indicating that the secondary structure forms at an early stage in refolding. The R(g) value of the final folded state was 33.6 A when the folding buffer contained 20% glycerol, which is characteristic of native-like compactness and globularity.     

Evidence for identity between the equilibrium unfolding intermediate and a transient folding intermediate: a comparative study of the folding reactions of alpha-lactalbumin and lysozyme

The refolding kinetics of alpha-lactalbumin at different concentrations of guanidine hydrochloride have been investigated by means of kinetic circular dichroism and stopped-flow absorption measurements. The refolding reaction consists of at least two stages, the instantaneous accumulation of the transient intermediate that has peptide secondary structure and the subsequent slow process associated with formation of tertiary structure. The transient intermediate is compared with the well-characterized equilibrium intermediate observed during the denaturant-induced unfolding. Stabilities of the secondary structures against the denaturant, affinities for Ca2+, and tryptophan absorption properties of the transient and equilibrium intermediates were investigated. In all of these respects, the transient intermediate is identical with the equilibrium one, demonstrating the validity of the use of the equilibrium intermediate as a model of the folding intermediate. Essentially the same transient intermediate was also detected in the folding of lysozyme, the protein known to be homologous to alpha-lactalbumin but whose equilibrium unfolding is represented as a two-state reaction. The stability and cooperativity of the secondary structure of the intermediate of lysozyme are compared with those of alpha-lactalbumin. The results show that the protein folding occurring via the intermediate is not limited to the proteins that show equilibrium intermediates. Although the unfolding equilibria of most proteins are well approximated as a two-state reaction, the two-state hypothesis may not be applicable to the folding reaction under the native condition. Two models of protein folding, intermediate-controlled folding model and multiple-pathway folding model, which are different in view of the role of the intermediate in determining the pathway of folding, are also discussed.     

Kinetic folding and unfolding of staphylococcal nuclease and its six mutants studied by stopped-flow circular dichroism

Kinetics of refolding and unfolding of staphylococcal nuclease and its six mutants, each carrying single or double amino acid substitutions, are studied by stopped-flow circular dichroism measurements. A transient kinetic intermediate formed within 10 ms after refolding starts possesses a substantial part of the N-domain core β-structure, whereas helices are formed at the later stages. The structure of the kinetic intermediate is less organized than the structure that is known to be formed by a nuclease 1-136 fragment. Only the refolding kinetics are affected by the mutations in all the mutants except two in which the mutations have changed the native structure. From this result and also from the locations of the mutation sites, the major N-terminal domain of the nuclease in the transition state of folding has a structure nearly identical to the native one. On the other hand, the minor C-terminal domain has previously been shown to be still disorganized in the transition state. The effects of the amino acid substitutions on the stability of the native and the transition states are in good agreement with the changes in the hydration free energy, expected for the corresponding amino acid replacements in the unfolded polypeptide. Since side chains of all the mutated residues are not accessible to solvent in the native structure, the result suggests that it is the unfolded state that is mainly affected by the mutations. © 1995 Wiley-Liss, Inc.     

Folding of staphylococcal nuclease A studied by equilibrium and kinetic circular dichroism spectra

The urea-induced unfolding of staphylococcal nuclease A has been studied by circular dichroism both at equilibrium and by the kinetics of unfolding and refolding (pH 7.0 and 4.5 degrees C), as a function of Ca2+ and thymidine 3',5'-diphosphate (pdTp) concentration. The results are as follows. (1) The unfolding transition is shifted to higher concentrations of urea by Ca2+ and pdTp, and the presence of both ligands further stabilizes the protein. (2) In the first stage of kinetic refolding, the peptide ellipticity changes rapidly within the dead time of stopped-flow measurement (15 ms), indicating accumulation of a transient intermediate. This intermediate is remarkably less stable than those of other globular proteins previously studied. (3) Dependence of the folding and unfolding rate constants on urea concentration indicates that the critical activated state of folding ("transition state") has considerable structural organization. The transition state does not, however, have the capacity to bind Ca2+ and pdTp, as indicated by the effects of these ligands on the unfolding rate constant. (4) There are at least four different phases in the refolding kinetics in native conditions below 1 M urea. In the absence of pdTp, there are two phases in unfolding, while in the presence of pdTp the unfolding kinetics show a single phase. Some characteristics of the transient intermediate and of the transition state for folding are discussed.     

The Pro117 to glycine mutation of staphylococcal nuclease simplifies the unfolding-folding kinetics

Kinetics of unfolding and refolding of a staphylococcal nuclease mutant, in which Pro117 is replaced by glycine, have been investigated by stopped-flow circular dichroism, and the results are compared with those for the wild-type protein. In contrast to the biphasic unfolding of the wild-type nuclease, the unfolding of the mutant is represented by a single-phase reaction, indicating that the biphasic unfolding for the wild-type protein is caused by cis-trans isomerization about the prolyl peptide bond in the native state. The proline mutation also simplifies the kinetic refolding. Importance of the results in elucidating the folding mechanism is discussed.     

Effect of ethanol on folding of hen egg-white lysozyme under acidic condition

The equilibrium and kinetics of folding of hen egg-white lysozyme were studied by means of CD spectroscopy in the presence of varying concentrations of ethanol under acidic condition. The equilibrium transition curves of guanidine hydrochloride-induced unfolding in 13 and 26% (v/v) ethanol have shown that the unfolding significantly deviates from a two-state mechanism. The kinetics of denaturant-induced refolding and unfolding of hen egg-white lysozyme were investigated by stopped-flow CD at three ethanol concentrations: 0, 13, and 26% (v/v). Immediately after dilution of the denaturant, the refolding curves showed a biphasic time course in the far-UV region, with a burst phase with a significant secondary structure and a slower observable phase. However, when monitored by the near-UV CD, the burst phase was not observed and all refolding kinetics were monophasic. To clarify the effect of nonnative secondary structure induced by the addition of ethanol on the folding/unfolding kinetics, the kinetic m values were estimated from the chevron plots obtained for the three ethanol concentrations. The data indicated that the folding/unfolding kinetics of hen lysozyme in the presence of varying concentrations of ethanol under acidic condition is explained by a model with both on-pathway and off-pathway intermediates of protein folding.     

Folding of ribonuclease T1. 2. Kinetic models for the folding and unfolding reactions

The slow refolding of ribonuclease T1 was investigated by different probes. Structural intermediates with secondary structure are formed early during refolding, as indicated by the rapid regain of a native-like circular dichroism spectrum in the amide region. This extensive structure formation is much faster than the slow steps of refolding, which are limited in rate by the reisomerization of incorrect proline isomers. The transient folding intermediates were also detected by unfolding assays, which make use of the reduced stability of folding intermediates relative to that of the native protein. The results of this and the preceding paper [Kiefhaber et al. (1990) Biochemistry (preceding paper in this issue)] were used to propose kinetic models for the unfolding and refolding of ribonuclease T1. The unfolding mechanism is based on the assumption that, after the structural unfolding step, the slow isomerizations of two X-Pro peptide bonds occur independently of each other in the denatured protein. At equilibrium a small amount of fast-folding species coexists with three slow-folding species: two with one incorrect proline isomer each and another, dominant species with both these prolines in the incorrect isomeric state. In the mechanism for refolding we assume that all slow-folding molecules can rapidly regain most of the secondary and part of the tertiary structure early in folding. Reisomerizations of incorrect proline peptide bonds constitute the slow, rate-limiting steps of refolding. A peculiar feature of the kinetic model for refolding is that the major unfolded species with two incorrect proline isomers can enter two alternative folding pathways, depending on which of the two reisomerizes first. The relative rates of reisomerization of the respective proline peptide bonds at the stage of the rapidly formed intermediate determine the choice of pathway. It is changed in the presence of prolyl isomerase, because this enzyme catalyzes these two isomerizations with different efficiency and consequently leads to a shift from the very slow to the intermediate refolding pathway.     

The Pro to glycine mutation of staphylococcal nuclease simplifies the unfolding—folding kinetics

Kinetics of unfolding and refolding of a staphylococcal nuclease mutant, in which Pro¹¹⁷ is replaced by glycine, have been investigated by stopped-flow circular dichroism, and the results are compared with those for the wild-type protein. In contrast to the biphasic unfolding of the wild-type nuclease, the unfolding of the mutant is represented by a single-phase reaction, indicating that the biphasic unfolding for the wild-type protein is caused by cis-trans isomerization about the prolyl peptide bond in the native state. The proline mutation also simplifies the kinetic refolding. Importance of the results in elucidating the folding mechanism is discussed.     

An evidence for the equilibrium unfolding intermediates of ribonuclease A by tritium labeling method

A formation of a molten globule in the unfolding of ribonuclease A could be considered as an evidence supporting a hypothesis on the existence of such intermediates on the pathway of a protein folding. Using a novel technique (tritium labeling method) we have showed that the ribonuclease A equilibrium unfolding in urea and guanidinium chloride (GuCl) solutions proceeds through a formation of intermediates whose properties (compactness, retention of the larger part hydrophobic core, secondary structure, and native-like folding pattern) correspond to the fundamental characteristics of the molten globule state. The both intermediates are the “wet” molten globules (the globule interior contains the water molecules). The results reveal the noticeable distinctions in intermediates structure, first of all, in the extent of their compactness. The urea intermediate is less compact than that in GuCl. It is shown that the refolding of the protein denatured by GuCl results in the formation of the intermediate which enzyme activity is virtually the same as the activity of the native protein.     

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.     

Interactions in nonnative and truncated forms of staphylococcal nuclease as indicated by mutational free energy changes.

Several mixed disulfide variants of staphylococcal nuclease have been produced by disulfide bond formation between nuclease V23C and methane, ethane, 1-propane, 1-n-butane, and 1-n-pentane thiols. Although CD spectroscopy shows that the native state is largely unperturbed, the stability toward urea-induced unfolding is highly dependent on the nature of the group at this position, with the methyl disulfide protein being the most stable. The variant produced by modification with iodoacetic acid, however, gives a CD spectrum indicative of an unfolded polypeptide. Thiol-disulfide exchange equilibrium constants between nuclease V23C and 2-hydroxyethyl disulfide have been measured as a function of urea concentration. Because thiol-disulfide exchange and unfolding are thermodynamically linked, the effects of a mutation (disulfide exchange) can be partitioned between various conformational states. In the case of unmodified V23C and the 2-hydroxyethyl protein mixed disulfide, significant effects in the nonnative states of nuclease are observed. Truncated forms of staphylococcal nuclease are thought to be partially folded and may be good models for early folding intermediates. We have characterized a truncated form of nuclease comprised of residues 1-135 with a V23C mutation after chemical modification of the cysteine residue. High-resolution size-exclusion chromatography indicates that modification brings about significant changes in the Stokes radius of the protein, and CD spectroscopy indicates considerable differences in the amount of secondary structure present. Measurement of the disulfide exchange equilibrium constant between this truncated protein and 2-hydroxyethyl disulfide indicate significant interactions between position 23 and the rest of the protein when the urea concentration is lower than 1.5 M.(ABSTRACT TRUNCATED AT 250 WORDS)     

Pressure-jump small-angle x-ray scattering detected kinetics of staphylococcal nuclease folding

The kinetics of chain disruption and collapse of staphylococcal nuclease after positive or negative pressure jumps was monitored by real-time small-angle x-ray scattering under pressure. We used this method to probe the overall conformation of the protein by measuring its radius of gyration and pair-distance-distribution function p(r) which are sensitive to the spatial extent and shape of the particle. At all pressures and temperatures tested, the relaxation profiles were well described by a single exponential function. No fast collapse was observed, indicating that the rate limiting step for chain collapse is the same as that for secondary and tertiary structure formation. Whereas refolding at low pressures occurred in a few seconds, at high pressures the relaxation was quite slow, approximately 1 h, due to a large positive activation volume for the rate-limiting step for chain collapse. A large increase in the system volume upon folding implies significant dehydration of the transition state and a high degree of similarity in terms of the packing density between the native and transition states in this system. This study of the time-dependence of the tertiary structure in pressure-induced folding/unfolding reactions demonstrates that novel information about the nature of protein folding transitions and transition states can be obtained from a combination of small-angle x-ray scattering using high intensity synchrotron radiation with the high pressure perturbation technique.     

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.     

Folding kinetics of staphylococcal nuclease studied by tryptophan engineering and rapid mixing methods

To monitor the development of tertiary structural contacts during folding, a unique tryptophan residue was introduced at seven partially buried locations (residues 15, 27, 61, 76, 91, 102 and 121) of a tryptophan-free variant of staphylococcal nuclease (P47G/P117G/H124L/W140H). Thermal unfolding measurements by circular dichroism indicate that the variants are destabilized, but maintain the ability to fold into a native-like structure. For the variants with Trp at positions 15, 27 and 61, the intrinsic fluorescence is significantly quenched in the native state due to close contact with polar side-chains that act as intramolecular quenchers. All other variants exhibit enhanced fluorescence under native conditions consistent with burial of the tryptophan residues in an apolar environment. The kinetics of folding was observed by continuous and stopped-flow fluorescence measurements over refolding times ranging from 100 micros to 10 s. The folding kinetics of all variants is quantitatively described by a mechanism involving a major pathway with a series of intermediate states and a minor parallel channel. The engineered tryptophan residues in the beta-barrel and the N-terminal part of the alpha-helical domain become partially shielded from the solvent at an early stage (<1 ms), indicating that this region undergoes a rapid collapse. For some variants, a major increase in fluorescence coincides with the rate-limiting step of folding on the 100 ms time scale, indicating that these tryptophan residues are buried only during the late stages of folding. Other variants exhibit a transient increase in fluorescence during the 10 ms phase followed by a decrease during the rate-limiting phase. These observations are consistent with burial of these probes in a collapsed, but loosely packed intermediate, followed by the rate-limiting formation of the densely packed native core, which brings the tryptophan residues into close contact with intramolecular quenchers.     

Kinetics of Fast Changing Intramolecular Distance Distributions Obtained by Combined Analysis of FRET Efficiency Kinetics and Time-Resolved FRET Equilibrium Measurements

Detailed studies of the mechanisms of macromolecular conformational transitions such as protein folding are enhanced by analysis of changes of distributions for intramolecular distances during the transitions. Time-resolved Förster resonance energy transfer (FRET) measurements yield such data, but the more readily available kinetics of mean FRET efficiency changes cannot be analyzed in terms of changes in distances because of the sixth-power dependence on the mean distance. To enhance the information obtained from mean FRET efficiency kinetics, we combined the analyses of FRET efficiency kinetics and equilibrium trFRET experiments. The joint analysis enabled determination of transient distance distributions along the folding reaction both in cases where a two-state transition is valid and in some cases consisting of a three-state scenario. The procedure and its limits were tested by simulations. Experimental data obtained from stopped-flow measurements of the refolding of Escherichia coli adenylate kinase were analyzed. The distance distributions between three double-labeled mutants, in the collapsed transient state, were determined and compared to those obtained experimentally using the double-kinetics technique. The proposed method effectively provides information on distance distributions of kinetically accessed intermediates of fast conformational transitions induced by common relaxation methods.     

Kinetics of Fast Changing Intramolecular Distance Distributions Obtained by Combined Analysis of FRET Efficiency Kinetics and Time-Resolved FRET Equilibrium Measurements

Detailed studies of the mechanisms of macromolecular conformational transitions such as protein folding are enhanced by analysis of changes of distributions for intramolecular distances during the transitions. Time-resolved Förster resonance energy transfer (FRET) measurements yield such data, but the more readily available kinetics of mean FRET efficiency changes cannot be analyzed in terms of changes in distances because of the sixth-power dependence on the mean distance. To enhance the information obtained from mean FRET efficiency kinetics, we combined the analyses of FRET efficiency kinetics and equilibrium trFRET experiments. The joint analysis enabled determination of transient distance distributions along the folding reaction both in cases where a two-state transition is valid and in some cases consisting of a three-state scenario. The procedure and its limits were tested by simulations. Experimental data obtained from stopped-flow measurements of the refolding of Escherichia coli adenylate kinase were analyzed. The distance distributions between three double-labeled mutants, in the collapsed transient state, were determined and compared to those obtained experimentally using the double-kinetics technique. The proposed method effectively provides information on distance distributions of kinetically accessed intermediates of fast conformational transitions induced by common relaxation methods.     

Fast collapse but slow formation of secondary structure elements in the refolding transition of E. coli adenylate kinase

The various models proposed for protein folding transition differ in their order of appearance of the basic steps during this process. In this study, steady state and time-resolved dynamic non-radiative excitation energy transfer (FRET and trFRET) combined with site specific labeling experiments were applied in order to characterize the initial transient ensemble of Escherichia coli adenylate kinase (AK) molecules upon shifting conditions from those favoring denaturation to refolding and from folding to denaturing. Three sets of labeled AK mutants were prepared, which were designed to probe the equilibrium and transient distributions of intramolecular segmental end-to-end distances. A 176 residue section (residues 28-203), which spans most of the 214 residue molecule, and two short secondary structure chain segments including an alpha-helix (residues 169-188) and a predominantly beta-strand region (residues 188-203), were labeled. Upon fast change of conditions from denaturing to folding, the end-to-end distance of the 176 residue chain section showed an immediate collapse to a mean value of 26 A. Under the same conditions, the two short secondary structure elements did not respond to this shift within the first ten milliseconds, and retained the characteristics of a fully unfolded state. Within the first 10 ms after changes of the solvent from folding to denaturing, only minor changes were observed at the local environments of residues 203 and 169. The response of these same local environments to the shift of conditions from denaturing to folding occurred within the dead time of the mixing device. Thus, the response of the CORE domain of AK to fast transfer from folding to unfolding conditions is slow at all three conformational levels that were probed, and for at least a few milliseconds the ensemble of folded molecules is maintained under unfolding conditions. A different order of the changes was observed upon initiation of refolding. The AK molecules undergo fast collapse to an ensemble of compact structures where the local environment of surface probes seems to be native-like but the two labeled secondary structure elements remain unfolded.     

Stability and folding properties of a model beta-sheet protein, Escherichia coli CspA.

Although beta-sheets represent a sizable fraction of the secondary structure found in proteins, the forces guiding the formation of beta-sheets are still not well understood. Here we examine the folding of a small, all beta-sheet protein, the E. coli major cold shock protein CspA, using both equilibrium and kinetic methods. The equilibrium denaturation of CspA is reversible and displays a single transition between folded and unfolded states. The kinetic traces of the unfolding and refolding of CspA studied by stopped-flow fluorescence spectroscopy are monoexponential and thus also consistent with a two-state model. In the absence of denaturant, CspA refolds very fast with a time constant of 5 ms. The unfolding of CspA is also rapid, and at urea concentrations above the denaturation midpoint, the rate of unfolding is largely independent of urea concentration. This suggests that the transition state ensemble more closely resembles the native state in terms of solvent accessibility than the denatured state. Based on the model of a compact transition state and on an unusual structural feature of CspA, a solvent-exposed cluster of aromatic side chains, we propose a novel folding mechanism for CspA. We have also investigated the possible complications that may arise from attaching polyhistidine affinity tags to the carboxy and amino termini of CspA.     

Rapid folding and unfolding of Apaf-1 CARD

Caspase recruitment domains (CARDs) are members of the death domain superfamily and contain six antiparallel helices in an alpha-helical Greek key topology. We have examined the equilibrium and kinetic folding of the CARD of Apaf-1 (apoptotic protease activating factor 1), which consists of 97 amino acid residues, at pH 6 and pH 8. The results showed that an apparent two state equilibrium mechanism is not adequate to describe the folding of Apaf-1 CARD at either pH, suggesting the presence of intermediates in equilibrium unfolding. Interestingly, the results showed that the secondary structure is less stable than the tertiary structure, based on the transition mid-points for unfolding. Single mixing and sequential mixing stopped-flow studies showed that Apaf-1 CARD folds and unfolds rapidly and suggest a folding mechanism that contains parallel channels with two unfolded conformations folding to the native conformation. Kinetic simulations show that a slow folding phase is described by a third conformation in the unfolded ensemble that interconverts with one or both unfolded species. Overall, the native ensemble is formed rapidly upon refolding. This is in contrast to other CARDs in which folding appears to be dominated by formation of kinetic traps.     

Multiple parallel-pathway folding of proline-free Staphylococcal nuclease

When a protein exhibits complex kinetics of refolding, we often ascribe the complexity to slow isomerization events in the denatured protein, such as cis/trans isomerization of peptidyl prolyl bonds. Does the complex folding kinetics arise only from this well-known reason? Here, we have investigated the refolding of a proline-free variant of staphylococcal nuclease by stopped-flow, double-jump techniques, to examine the folding reactions without the slow prolyl isomerizations. As a result, the protein folds into the native state along at least two accessible parallel pathways, starting from a macroscopically single denatured-state ensemble. The presence of intermediates on the individual folding pathways has revealed the existence of multiple parallel pathways, and is characterized by multi-exponential folding kinetics with a lag phase. Therefore, a "single" amino acid sequence can fold along the multiple parallel pathways. This observation in staphylococcal nuclease suggests that the multiple folding may be more general than we have expected, because the multiple parallel-pathway folding cannot be excluded from proteins that show simpler kinetics.