Nonnative isomers of proline-93 and -114 predominate in heat-unfolded ribonuclease A

The peptide bonds preceding both Pro-93 and Pro-114, which are in the cis conformation in native RNase A, are predominantly in the trans conformation in the heat-unfolded protein. The percentages are estimated to be 60% and 63%, respectively, with a standard deviation of +/- 7% in each quantity. These ratios are close to those found for corresponding sequences in X-Pro-Y peptides. The concentration of the trans proline species was determined from the integrated intensities of resonance peaks of the C alpha H protons of Tyr-92 and Asn-113, which are well resolved in the 1D proton NMR spectrum of heat-unfolded RNase A. The assignments of the resonances were deduced from 2D NOESY and DQF-COSY spectra of unfolded RNase A in D2O. Furthermore, the C alpha H protons of both Tyr-92 and Asn-113 had an intense NOE cross-peak with the C delta H and C delta' H of the respective following prolines. For both Pro-93 and Pro-114, these NOE cross-peaks would arise only if the X-Pro peptide bond were in the trans conformation. It is generally believed that the rate of refolding of RNase A is considerably reduced by nonnative proline isomers, such as trans Pro-93. Two models for folding RNase A, that are consistent with these new results and the work of previous investigators, are presented here.     

Kinetics of intramolecular contact formation in a denatured protein

Quenching of the triplet state of tryptophan by cysteine has provided a new tool for measuring the rate of forming a specific intramolecular contact in disordered polypeptides. Here, we use this technique to investigate contact formation in the denatured state of CspTm, a small cold-shock protein from Thermotoga maritima, engineered to contain a single tryptophan residue (W29) and a single cysteine residue at the C terminus (C67). At all concentrations of denaturant, the decay rate of the W29 triplet of the unfolded protein is more than tenfold faster than the rate observed for the native protein ( approximately 10(4)s(-1)). Experiments on the unfolded protein without the added C-terminal cysteine residue show that this faster rate results entirely from contact quenching by C67. The quenching rate in the unfolded state by C67 increases at concentrations of denaturant that favor folding, indicating a compaction of the unfolded protein as observed previously in single-molecule F?rster resonance energy transfer (FRET) experiments.     

Spontaneous asparaginyl deamidation of canine milk lysozyme under mild conditions

Asparaginyl deamidation is a common form of nonenzymatic degradation of proteins and peptides. As it introduces a negative charge spontaneously and irreversibly, charge heterogeneity can be accumulated in protein solution during purification, preservation, and experiments. In this study, canine milk lysozyme (CML), a useful model for the study of the molten globule state, exhibited charge heterogeneity after sample purification. Four Asn residues in CML deamidated rapidly under mild conditions: pH 8.0 and 30 degrees C. Other than these residues, one Asn residue, which was stable in the native state, was labile to deamidation in the unfolded state. This suggests that the structural formation around Asn can suppress deamidation. Substitutions of these labile Asn residues to Gln residues prevented deamidation effectively. Because the substitutions did not disrupt the structural formation of the native and molten globule states, they will enable more precise analyses for physical and structural studies.     

Thermodynamic analysis of the effect of selective monodeamidation at asparagine 67 in ribonuclease A.

Selective deamidation of proteins and peptides is a reaction of great interest, both because it has a physiological role and because it can cause alteration in the biological activity, local folding, and overall stability of the protein. In order to evaluate the thermodynamic effects of this reaction in proteins, we investigated the temperature-induced denaturation of ribonuclease A derivatives in which asparagine 67 was selectively replaced by an aspartyl residue or an isoaspartyl residue, as a consequence of an in vitro deamidation reaction. Differential scanning calorimetry measurements were performed in the pH range 3.0-6.0, where the unfolding process is reversible, according to the reheating criterion used. It resulted that the monodeamidated forms have a different thermal stability with respect to the parent enzyme. In particular, the replacement of asparagine 67 with an isoaspartyl residue leads to a decrease of 6.3 degrees C of denaturation temperature and 65 kJ mol-1 of denaturation enthalpy at pH 5.0. These results are discussed and correlated to the X-ray three-dimensional structure of this derivative. The analysis leads to the conclusion that the difference in thermal stability between RNase A and (N67isoD)RNase A is due to enthalpic effects arising from the loss of two important hydrogen bonds in the loop containing residue 67, partially counterbalanced by entropic effects. Finally, the influence of cytidine-2'-monophosphate on the stability of the three ribonucleases at pH 5.0 is studied and explained in terms of its binding on the active site of ribonucleases. The analysis makes it possible to estimate the apparent binding constant and binding enthalpy for the three proteins.     

Glycosylation and specific deamidation of ribonuclease B affect the formation of three-dimensional domain-swapped oligomers

RNase A oligomerizes via the three-dimensional domain-swapping mechanism to form a variety of oligomers, including two dimers. One, called the N-dimer, forms by swapping of the N termini of the protein; the other, called the C-dimer, forms by swapping of the C termini. RNase B is identical in protein sequence and conformation to RNase A, but its Asn34 bears an oligosaccharide chain that might affect oligomerization. The ability of RNase B to oligomerize under two sets of conditions has been examined. The amount of oligomers formed via lyophilization was somewhat lower for RNase B than RNase A, and RNase B oligomerized more rapidly in 40% ethanol solution at high temperature than RNase A. The ratio of the N-dimer to C-dimer formed increased with the size of the carbohydrate chain under both sets of conditions. These results suggest that the oligosaccharide chain either favors productive collisions or stabilizes the oligomers, especially the N-dimer. Endoglycosidase H treatment of RNase B partially restored RNase A-like oligomerization. Derivatives of RNase A conjugated at the amine groups to polyethylene glycol chains showed a greatly reduced capacity for oligomerization, suggesting that oligomerization can be impeded sterically. Commercial preparations of RNase B eluted as two main peaks by cation exchange chromatography. Using chromatography, mass spectroscopy, and two-dimensional NMR, the major peak was identified as RNase B selectively deamidated at Asn67. This deamidated protein showed a >4 degrees C drop in thermal stability, disruption of the native structure of residues 67-69, and a decreased ability to oligomerize compared with unmodified RNase B.     

Formation of an RNase A derivative containing an aminosuccinyl residue in place of asparagine 67

At acidic pH, Asp67 and beta-Asp67 (beta-Asp: isoaspartic acid residue) derivatives of RNase A, obtained by selective deamidation of the parent enzyme, spontaneously produces a new derivative containing an aminosuccinyl residue (Asu). The overall secondary structure of the protein chain does not change as a consequence of this substitution, while the catalytic activity on RNA is reduced to about 25%. The pH dependence of the first-order rate constants for the Asu formation has a bell-shaped profile, the maximum being close to the pK(a) of the aspartic acid side chains. Moreover, the values of the rate constants are of the same magnitude of those measured for Asp-containing peptides whose sequence mimics the Asu formation site of the enzyme. This feature indicates that Asp67 and beta-Asp67 residues in the deamidated RNase A derivatives are sited in a region flexible enough to permit the cyclization of the carboxylic side chain to succinimide ring. These results are discussed at the light on to the three-dimensional structure and the thermodynamic stability of the aspartic acid derivatives of RNase A.     

A novel pathway to enzyme deactivation: the cutinase model

Cutinase in aqueous solution at pH 4.5 deactivates following a parallel pathway. At 53 degrees C, 88% of the cutinase molecules are in the unfolded conformation, which can aggregate with a reaction order of 3 if the protein concentration is high (>/=12 microM). The aggregates show a sixfold increase in size as determined by dynamic light scattering. This aggregation process is the first phase observed during a deactivation experiment; however, after significant cutinase depletion and maturation of the aggregates, a first-order step starts to dominate and a second phase independent of the protein concentration is observed. Kinetic partitioning between aggregation and first-order irreversible changes of the unfolded conformation can occur during enzyme deactivation when the equilibrium between the native and the unfolded conformation is shifted and kept toward the unfolded conformation.     

Structure of stable protein folding intermediates by equilibrium phi-analysis: the apoflavodoxin thermal intermediate

Protein intermediates in equilibrium with native states may play important roles in protein dynamics but, in cases, can initiate harmful aggregation events. Investigating equilibrium protein intermediates is thus important for understanding protein behaviour (useful or pernicious) but it is hampered by difficulties in gathering structural information. We show here that the phi-analysis techniques developed to investigate transition states of protein folding can be extended to determine low-resolution three-dimensional structures of protein equilibrium intermediates. The analysis proposed is based solely on equilibrium data and is illustrated by determination of the structure of the apoflavodoxin thermal unfolding intermediate. In this conformation, a large part of the protein remains close to natively folded, but a 40 residue region is clearly unfolded. This structure is fully consistent with the NMR data gathered on an apoflavodoxin mutant designed specifically to stabilise the intermediate. The structure shows that the folded region of the intermediate is much larger than the proton slow-exchange core at 25 degrees C. It also reveals that the unfolded region is made of elements whose packing surface is more polar than average. In addition, it constitutes a useful guide to rationally stabilise the native state relative to the intermediate state, a far from trivial task.     

Effect of deamidation on folding of ribonuclease A

The folding of ribonuclease A (RNase A) has been extensively studied by characterizing the disulfide containing intermediates using different experimental conditions and analytical techniques. So far, some aspects still remain unclear such as the role of the loop 65-72 in the folding pathway. We have studied the oxidative folding of a RNase A derivative containing at position 67 the substitution Asn --> isoAsp where the local structure of the loop 65-72 has been modified keeping intact the C65-C72 disulfide bond. By comparing the folding behavior of this mutant to that of the wild-type protein, we found that the deamidation significantly decreases the folding rate and alters the folding pathway of RNase A. Results presented here shed light on the role of the 65-72 region in the folding process of RNase A and also clarifies the effect of the deamidation on the folding/unfolding processes. On a more general ground, this study represents the first characterization of the intermediates produced along the folding of a deamidated protein.     

Partial repair of deamidation-damaged calmodulin by protein carboxyl methyltransferase

Modification of calmodulin by protein carboxyl methyltransferase requires deamidation of one or more labile asparagine residues (Johnson, B.A., Freitag, N. E., and Aswad, D. W. (1985) J. Biol. Chem. 260, 10913-10916). We now show that deamidation results in the generation of two altered forms of calmodulin, designated A and B, which can be separated by electrophoresis under nondenaturing conditions. The A form is characterized by a larger apparent molecular radius, has only 10% the activity of native calmodulin when assayed for its ability to activate a Ca2+/calmodulin-dependent protein kinase from rat brain, and serves as an excellent substrate for the methyltransferase. The B form more closely resembles native calmodulin: it has an apparent molecular radius more like the native, exhibits about 40% the activity of native calmodulin, and is a relatively poor methyl acceptor. Evidence suggests that the A and B forms probably contain isoaspartate (A) and aspartate (B) in place of Asn-60 and/or Asn-97. Incubation of the A form with methyltransferase and S-adenosyl-L-methionine converts about half of the A form to an electrophoretic band indistinguishable from the B form. The activity of this partly converted calmodulin rises to 30-50% that of native calmodulin. These observations imply that the methyltransferase may have a biological role in restoring activity to proteins which contain abnormal isoaspartyl peptide bonds resulting from asparagine deamidation.     

Isolation and characterization of monodeamidated derivatives of bovine pancreatic ribonuclease A

The isolation and characterization of the initial intermediates formed during the irreversible acid denaturation of enzyme Ribonuclease A are described. The products obtained when RNase A is maintained in 0.5 M HCl at 30 degrees for periods up to 20 h have been analyzed by ion-exchange chromatography on Amberlite XE-64. Four distinct components were found to elute earlier to RNase A; these have been designated RNase Aa2, Aa1c, Aa1b, and Aa1a in order of their elution. With the exception of RNase Aa2, the other components are nearly as active as RNase A. Polyacrylamide gel electrophoresis at near-neutral pH indicated that RNase Aa1a, Aa1b, and Aa1c are monodeamidated derivatives of RNase A; RNase Aa1c contains, in addition, a small amount of a dideamidated component. RNase Aa2, which has 75% enzymic activity as compared to RNase A, consists of dideamidated and higher deamidated derivatives of RNase A. Except for differences in the proteolytic susceptibilities at an elevated temperature or acidic pH, the monodeamidated derivatives were found to have very nearly the same enzymic activity and the compact folded structure as the native enzyme. Fingerprint analyses of the tryptic peptides of monodeamidated derivatives have shown that the deamidations are restricted to an amide cluster in the region 67-74 of the polypeptide chain. The initial acid-catalyzed deamidation occurs in and around the 65-72 disulfide loop giving rise to at least three distinct monodeamidated derivatives of RNase A without an appreciable change in the catalytic activity and conformation of the ribonuclease molecule. Significance of this specific deamidation occurring in highly acidic conditions, and the biological implications of the physiological deamidation reactions of proteins are discussed.     

High stability to irreversible inactivation at elevated temperatures of enzymes covalently modified by hydrophilic reagents: alpha-Chymotrypsin

Based on the idea that proteins can be stabilized by a decrease in the thermodynamically unfavorable contact of the hydrophobic surface clusters with water, alpha-chymotrypsin (CT) was acylated with carboxylic acid anhydrides or re-ductively alkylated with aliphatic aldehydes. Modification of CT with hydrophilic reagents leads to 100-1000-fold increase in stability against the irreversible thermoinactivation. The correlation holds: the greater the hydrophilization increment brought about by the modification, the higher is the protein thermostability. After some limiting value, however, a further increase in hydrophilicity does not change thermostability.It follows from the dependence of the thermoinactivation rate constants on temperature that for hydrophilized CT there is the conformational transition at 55-65 degrees C into an unfolded state in which inactivation is much slower than that of the low-temperature conformation. The thermodynamic analysis and fluorescent spectral data confirm that the slow inactivation of hydrophilized CT at high temperatures proceeds via a chemical mechanism rather than Incorrect refolding operative for both the native and low-temperature form of the modified enzyme. Hence, the hydrophilization stabilizes the unfolded high-temperature conformation by eliminating the incorrect refolding. (c) 1992 John Wiley & Sons, Inc.     

Propagation of a single destabilizing mutation throughout the Escherichia coli ribonuclease HI native state

A point mutation (I53A) in the core of Escherichia coli RNase H* is known to destabilize both the native conformation (DeltaG(UN)) and the kinetic intermediate (DeltaG(UI)) by 2 kcal/mole. Here, we have used native-state hydrogen deuterium exchange to ask how this destabilization is propagated throughout the molecule. Stability parameters were obtained for individual residues in I53A and compared with those from the wild-type protein. A destabilization of 2 kcal/mole was observed in residues in the core but was not detected in the periphery of the molecule. These results are consistent with the localized destabilization of the core observed in the early intermediate of the kinetic folding pathway, supporting the resemblance of this kinetic intermediate to the partially unfolded form detected in the native state at equilibrium. A thermodynamic cycle also shows no interaction between Ile 53 and a residue in the periphery. There is, however, an increase in the number of denaturant-independent exchange events in the periphery of I53A, showing that effects of the point mutation are communicated to regions outside the core, although perhaps not through changes in stability. In sum, this work shows that localized regions within a protein can be destabilized independently. Furthermore, it implies a correspondence between the kinetic intermediate and the equilibrium PUF, as the magnitude and localization of the destabilization are the same in both.     

Detection of local structures in reduced unfolded bovine pancreatic trypsin inhibitor.

The structure of BPTI and reduced BPTI in concentrated guanidinium HCl (GUHCl) in the presence of glycerol has been probed by measurements of dynamic nonradiative excitation energy transfer between probes attached to its amino groups. Interprobe distance distributions were obtained from analysis of donor fluorescence decay curves and used to characterize local structures in unordered states of the protein. Site specifically fluorescently labeled BPTI derivatives (1-n)BPTI (n = 15, 20, 41, 46) were used, each carrying a 2-methoxy-naphthyl-1-methylenyl group (MNA) at the N-terminal amino group of arg1 and 7-(dimethylamino)-coumarin-4-yl-acetyl residue (DA-coum) at one of its epsilon-NH2 groups of the lysine side chains. Analysis of donor fluorescence decay kinetics gave the interprobe distance distributions in the native and denatured states. The N-terminal-segment, residues 1-15, is in an extended conformation (with an average interprobe distance of 34 +/- 2 A) in the native state. Upon unfolding by reduction with DTT or beta-mercapto ethanol in 6 M GUHCl/glycerol mixture, the conformation of this segment relaxed to a state characterized by a reduced average interprobe distance and a larger width of the distances distribution. The average distance between residues 1 and 26, i.e., between the N-terminus and the turn of the twisted beta sheet element (residues 18-35), increased upon unfolding. At -30 degrees C in the above solvent, the distribution between these two sites was probably composed of two conformational subpopulations. About 45 +/- 20% of the molecules were characterized by a short interprobe distance (like the native state) representing a compact conformation, and 55 +/- 20% of the molecules showed large interprobe distances representing an expanded (unfolded) conformation. Thus local structures seem to exist in reduced denatured BPTI even under denaturing conditions in 6 M GUHCl/glycerol mixtures. Some of those structures are unstable in guanidinium isothiocyanate (GUSCN). The method introduced here is suitable for probing local structures and very long range interactions in unfolded proteins and for search for folding initiation sites (FISs) and early folding intermediates.     

Enzymatic methyl esterification of a deamidated form of mouse epidermal growth factor

The enzyme S-adenosylmethionine:protein carboxyl-O-methyl-transferase, type II (EC 2.1.1.77; PCMT) from eukaryotes methyl esterifies peptides containing isoAsp residues, which can arise from spontaneous deamidation of labile Asn residues. We report here a study on in vitro methyl esterification of mouse EGF by bovine brain PCMT. This peptide contains two Asn in the sequences Asn1-Ser2 and Asn16-Gly17. It is known from the literature that the presence of a small residue on the carboxyl side of asparaginyl makes this residue susceptible to deamidation through the spontaneous formation of a succinimide intermediate. Therefore EGF was incubated under deamidating conditions (pH 9.0, 37 degrees for 48 h) and the extent of deamidation monitored by enzymatically measuring the NH3 produced during the alkali treatment: a release of 0.80 mol NH3/mol EGF was calculated. The alkali-treated EGF, analyzed by anion-exchange chromatography, shows two major components identified as native EGF (nEGF) and its deamidated form (dEGF). When incubated in the presence of purified PCMT neither nEGF nor dEGF showed any methyl accepting capability. Since it is known that the three-dimensional structure of a protein may hinder the methyl esterification of a potential ethyl accepting site, dEGF was unfolded by reducing and alkylating the intrachain disulfide bridges. Only a slight increase in the methyl accepting capability could be observed. Conversely, when EGF was deamidated after its unfolding, the resulting protein was stoichiometrically methylated by PCMT, presumably at level of isoAsp16. Our findings strongly suggest that the three-dimensional structure of a protein is a major specificity determinant for both deamidation and methyl esterification processes.     

The structural basis of the difference in sensitivity for PNGase F in the de-N-glycosylation of the native bovine pancreatic ribonucleases B and BS

In glycoanalysis protocols, N-glycans from glycoproteins are most frequently released with peptide- N (4)-( N-acetyl-beta-glucosaminyl)asparagine amidase F (PNGase F). As the enzyme is an amidase, it cleaves the NH-CO linkage between the Asn side chain and the Asn-bound GlcNAc residue. Usually, the enzyme has a low activity, or is not active at all, on native glycoproteins. A typical example is native bovine pancreatic ribonuclease B (RNase B) with oligomannose-type N-glycans at Asn-34. However, native RNase BS, generated by subtilisin digestion of native RNase B, which comprises amino acid residues 21-124 of RNase B, is sensitive to PNGase F digestion. The same holds for carboxymethylated RNase B (RNase B (cm)). In this study, NMR spectroscopy and molecular modeling have been used to explain the differences in PNGase F activity for native RNase B, native RNase BS, and RNase B (cm). NMR analysis combined with literature data clearly indicated that the N-glycan at Asn-34 is more mobile in RNase BS than in RNase B. MD simulations showed that the region around Asn-34 in RNase B is not very flexible, whereby the alpha-helix of the amino acid residues 1-20 has a stabilizing effect. In RNase BS, the alpha-helix formed by amino acid residues 23-32 is significantly more flexible. Using these data, the possibilities for complex formation of both RNase B and RNase BS with PNGase F were studied, and a model for the RNase BS-PNGase F complex is proposed.     

Helix formation and the unfolded state of a 52-residue helical protein

A growing class of proteins in biological processes has been found to be unfolded on isolation under normal solution conditions. We have used NMR spectroscopy to characterize the structural and dynamic properties of the unfolded and partially folded states of a 52-residue alanine-rich protein (Ala-14) at temperatures from -5 degrees C to 40 degrees C. At 40 degrees C, alanine residues in Ala-14 adopt phi and psi angles, consistent with a significant ensemble population of polyproline II conformation. Analysis of relaxation rates in the protein reveals that a series of residues, Gln 35-Ala 36-Ala 37-Lys 38-Asp 39-Asp 40-Ala 41-Ala 42, displays slow motional dynamics at both -5 degrees C and 40 degrees C. Temperature-dependent chemical shift changes indicate that this region is the site of helix initiation. The remaining N-terminal residues become increasingly dynamic as they extend from the nucleation site. The C terminus remains dynamic and changes less with temperature, indicating it is relatively unstructured. Ala-14 provides a high-resolution portrait of the unfolded state and the process of helix nucleation and propagation in the absence of tertiary contacts, information that bears on early events in protein folding.     

Conformational stability and mechanism of folding of ribonuclease T1

Urea and thermal unfolding curves for ribonuclease T1 (RNase T1) were determined by measuring several different physical properties. In all cases, steep, single-step unfolding curves were observed. When these results were analyzed by assuming a two-state folding mechanism, the plots of fraction unfolded protein versus denaturant were coincident. The dependence of the free energy of unfolding, delta G (in kcal/mol), on urea concentration is given by delta G = 5.6 - 1.21 (urea). The parameters characterizing the thermodynamics of unfolding are: midpoint of the thermal unfolding curve, Tm = 48.1 degrees C, enthalpy change at Tm, delta Hm = 97 kcal/mol, and heat capacity change, delta Cp = 1650 cal/mol deg. A single kinetic phase was observed for both the folding and unfolding of RNase T1 in the transition and post-transition regions. However, two slow kinetic phases were observed during folding in the pre-transition region. These two slow phases account for about 90% of the observed amplitude, indicating that a faster kinetic phase is also present. The slow phases probably result from cis-trans isomerization at the 2 proline residues that have a cis configuration in folded RNase T1. These results suggest that RNase T1 folds by a highly cooperative mechanism with no structural intermediates once the proline residues have assumed their correct isomeric configuration. At 25 degrees C, the folded conformation is more stable than the unfolded conformations by 5.6 kcal/mol at pH 7 and by 8.9 kcal/mol at pH 5, which is the pH of maximum stability. At pH 7, the thermodynamic data indicate that the maximum conformational stability of 8.3 kcal/mol will occur at -6 degrees C.     

Mechanism of the stabilization of ribonuclease A by sorbitol: preferential hydration is greater for the denatured then for the native protein.

The effect of interactions of sorbitol with ribonuclease A (RNase A) and the resulting stabilization of structure was examined in parallel thermal unfolding and preferential binding studies with the application of multicomponent thermodynamic theory. The protein was stabilized by sorbitol both at pH 2.0 and pH 5.5 as the transition temperature, Tm, was increased. The enthalpy of the thermal denaturation had a small dependence on sorbitol concentration, which was reflected in the values of the standard free energy change of denaturation, delta delta G(o) = delta G(o) (sorbitol) - delta G(o)(water). Measurements of preferential interactions at 48 degrees C at pH 5.5, where protein is native, and pH 2.0 where it is denatured, showed that sorbitol is preferentially excluded from the denatured protein up to 40%, but becomes preferentially bound to native protein above 20% sorbitol. The chemical potential change on transferring the denatured RNase A from water to sorbitol solution is larger than that for the native protein, delta mu(2D) > delta mu(2N), which is consistent with the effect of sorbitol on the free energy change of denaturation. The conformity of these results to the thermodynamic expression of the effect of a co-solvent on denaturation, delta G(o)(W) + delta mu(D)(2)delta G(o)(S) + delta mu(2D), indicates that the stabilization of the protein by sorbitol can be fully accounted for by weak thermodynamic interactions at the protein surface that involve water reversible co-solvent exchange at thermodynamically non-neutral sites. The protein structure stabilizing action of sorbitol is driven by stronger exclusion from the unfolded protein than from the native structure.     

Temperature and driving force dependence of the folding rate of reduced horse heart cytochrome c

Utilizing the stability difference between the ferro and ferri forms of horse heart cytochrome c (cyt c), folding of reduced cyt c was triggered by laser-induced reduction of unfolded oxidized cyt c. Measurements were made of the kinetics of the main folding phase (1 ms-10 s) in which collapsed reduced cyt c transforms to the native conformation. The folding rates were studied extensively as a function of temperature (5-75 degrees C) and guanidine hydrochloride (GdnHCl) concentration (1.6-4.9 M). At constant [GdnHCl], the Arrhenius plot of the folding rate constant (k) is nonlinear. At temperatures above 40 degrees C, the decrease in protein stability counteracts the expected increase in folding rate. Introducing free energy (DeltaG), derived from protein stability data, into the Eyring and Arrhenius equations leads to: ln k = ln(k(b)T/h) + DeltaS()/R - DeltaH()/RT - theta(m)DeltaG/RT = ln A - E(a)/RT - theta(m)DeltaG/RT, where theta(m) is the ratio between the denaturant dependence of the folding rate and the stability. By using this equation at constant DeltaG [or constant equilibrium constant (K)], linear Arrhenius plots are obtained. For the main folding phase of reduced cyt c, a positive DeltaS() is obtained indicating that the transition state is less ordered than the reactant. A model is proposed in which reduced cyt c first collapses into a compact intermediate, which needs to expand to reach the transition state of the rate-limiting folding reaction.