Diffusive motions control the folding and unfolding kinetics of the apomyoglobin pH 4 molten globule intermediate

The sperm whale apomyoglobin pH 4 folding intermediate exists in two forms, Ia and Ib, that mimic transient kinetic intermediates in the folding of the native protein at pH 6. To characterize the nature of the kinetic barrier that controls the formation of the earliest intermediate Ia, we have investigated the effects of small viscogenic cosolvents on its folding and unfolding kinetics. The kinetics are measurable by stopped-flow fluorescence and follow a cooperative two-state model in the absence and presence of cosolvents. Small cosolvents stabilize Ia, but, by applying the isostability test to separate the viscogenic effect of the cosolvent from its stabilizing effect, we found that, in both folding and unfolding conditions, the apparent rate constant decreases when solvent viscosity increases. The unitary inverse dependence of the apparent rate constant on solvent viscosity indicates a diffusion-controlled reaction. This result is consistent with the hypothesis that folding of the apomyoglobin pH 4 intermediate obeys a diffusion-collision model. Additionally, the temperature dependence of the reaction rate at constant viscosity indicates that the formation of Ia is also controlled by an energy barrier. Linear free energy relationships show that the transition state of the U <==> Ia reaction is compact and buries 45% of the surface area that is buried in native apomyoglobin. We conclude that the transition state of the U <==> Ia reaction resembles that for the formation of native proteins; namely, it is dry and its compactness is closer to that of the folded (Ia) form than of the unfolded form.     

Equilibrium and kinetic folding of hen egg-white lysozyme under acidic conditions

The equilibrium and kinetic folding of hen egg-white lysozyme was studied by means of circular dichroism spectra in the far- and near-ultraviolet (UV) regions at 25 degrees C under the acidic pH conditions. In equilibrium condition at pH 2.2, hen lysozyme shows a single cooperative transition in the GdnCl-induced unfolding experiment. However, in the GdnCl-induced unfolding process at lower pH 0.9, a distinct intermediate state with molten globule characteristics was observed. The time-dependent unfolding and refolding of the protein were induced by concentration jumps of the denaturant and measured by using stopped-flow circular dichroism at pH 2.2. Immediately after the dilution of denaturant, the kinetics of refolding shows evidence of a major unresolved far-UV CD change during the dead time (<10 ms) of the stopped-flow experiment (burst phase). The observed refolding and unfolding curves were both fitted well to a single-exponential function, and the rate constants obtained in the far- and near-UV regions coincided with each other. The dependence on denaturant concentration of amplitudes of burst phase and both rate constants was modeled quantitatively by a sequential three-state mechanism, U<-->I<-->N, in which the burst-phase intermediate (I) in rapid equilibrium with the unfolded state (U) precedes the rate-determining formation of the native state (N). The role of folding intermediate state of hen lysozyme was discussed.     

The influence of proline isomerization and off-pathway intermediates on the folding mechanism of eukaryotic UMP/CMP Kinase

The globular 22-kDa protein UMP/CMP from Dictyostelium discoideum (UmpK) belongs to the family of nucleoside monophosphate (NMP) kinases. These enzymes not only show high sequence and structure similarities but also share the α/β-fold, a very common protein topology. We investigated the protein folding mechanism of UmpK as a representative for this ubiquitous enzyme class. Equilibrium stability towards urea and the unfolding and refolding kinetics were studied by means of fluorescence and far-UV CD spectroscopy. Although the unfolding can be described by a two-state process, folding kinetics are rather complex with four refolding phases that can be resolved and an additional burst phase. Moreover, two of these phases exhibit a pronounced rollover in the refolding limb that cannot be explained by aggregation. Whilst secondary structure formation is not observed in the burst phase reaction, folding to the native structure is strongly influenced by the slowest phase, since 30% of the α-helical CD signal is restored therein. This process can be assigned to proline isomerization and is strongly accelerated by the Escherichia coli peptidyl-prolyl isomerase trigger factor. The analysis of our single-mixing and double-mixing experiments suggests the occurrence of an off-pathway intermediate and an unproductive collapsed structure, which appear to be rate limiting for the folding of UmpK.     

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.     

Protein Folding Mechanism of the Dimeric AmphiphysinII/Bin1 N-BAR Domain

The human AmphyphisinII/Bin1 N-BAR domain belongs to the BAR domain superfamily, whose members sense and generate membrane curvatures. The N-BAR domain is a 57 kDa homodimeric protein comprising a six helix bundle. Here we report the protein folding mechanism of this protein as a representative of this protein superfamily. The concentration dependent thermodynamic stability was studied by urea equilibrium transition curves followed by fluorescence and far-UV CD spectroscopy. Kinetic unfolding and refolding experiments, including rapid double and triple mixing techniques, allowed to unravel the complex folding behavior of N-BAR. The equilibrium unfolding transition curve can be described by a two-state process, while the folding kinetics show four refolding phases, an additional burst reaction and two unfolding phases. All fast refolding phases show a rollover in the chevron plot but only one of these phases depends on the protein concentration reporting the dimerization step. Secondary structure formation occurs during the three fast refolding phases. The slowest phase can be assigned to a proline isomerization. All kinetic experiments were also followed by fluorescence anisotropy detection to verify the assignment of the dimerization step to the respective folding phase. Based on these experiments we propose for N-BAR two parallel folding pathways towards the homodimeric native state depending on the proline conformation in the unfolded state.     

Folding of horse cytochrome c in the reduced state

Equilibrium and kinetic folding studies of horse cytochrome c in the reduced state have been carried out under strictly anaerobic conditions at neutral pH, 10 degrees C, in the entire range of aqueous solubility of guanidinium hydrochloride (GdnHCl). Equilibrium unfolding transitions observed by Soret heme absorbance, excitation energy transfer from the lone tryptophan residue to the ferrous heme, and far-UV circular dichroism (CD) are all biphasic and superimposable, implying no accumulation of structural intermediates. The thermodynamic parameters obtained by two-state analysis of these transitions yielded DeltaG(H2O)=18.8(+/-1.45) kcal mol(-1), and C(m)=5.1(+/-0.15) M GdnHCl, indicating unusual stability of reduced cytochrome c. These results have been used in conjunction with the redox potential of native cytochrome c and the known stability of oxidized cytochrome c to estimate a value of -164 mV as the redox potential of the unfolded protein. Stopped-flow kinetics of folding and unfolding have been recorded by Soret heme absorbance, and tryptophan fluorescence as observables. The refolding kinetics are monophasic in the transition region, but become biphasic as moderate to strongly native-like conditions are approached. There also is a burst folding reaction unobservable in the stopped-flow time window. Analyses of the two observable rates and their amplitudes indicate that the faster of the two rates corresponds to apparent two-state folding (U<-->N) of 80-90 % of unfolded molecules with a time constant in the range 190-550 micros estimated by linear extrapolation and model calculations. The remaining 10-20 % of the population folds to an off-pathway intermediate, I, which is required to unfold first to the initial unfolded state, U, in order to refold correctly to the native state, N (I<-->U<-->N). The slower of the two observable rates, which has a positive slope in the linear functional dependence on the denaturant concentration indicating that an unfolding process under native-like conditions indeed exists, originates from the unfolding of I to U, which rate-limits the overall folding of these 10-20 % of molecules. Both fast and slow rates are independent of protein concentration and pH of the refolding milieu, suggesting that the off-pathway intermediate is not a protein aggregate or trapped by heme misligation. The nature or type of unfolded-state heme ligation does not interfere with refolding. Equilibrium pH titration of the unfolded state yielded coupled ionization of the two non-native histidine ligands, H26 and H33, with a pK(a) value of 5.85. A substantial fraction of the unfolded population persists as the six-coordinate form even at low pH, suggesting ligation of the two methionine residues, M65 and M80. These results have been used along with the known ligand-binding properties of unfolded cytochrome c to propose a model for heme ligation dynamics. In contrast to refolding kinetics, the unfolding kinetics of reduced cytochrome c recorded by observation of Soret absorbance and tryptophan fluorescence are all slow, simple, and single-exponential. In the presence of 6.8 M GdnHCl, the unfolding time constant is approximately 300(+/-125) ms. There is no burst unfolding reaction. Simulations of the observed folding-unfolding kinetics by numerical solutions of the rate equations corresponding to the three-state I<-->U<-->N scheme have yielded the microscopic rate constants.     

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.     

Solvent-tuning the collapse and helix formation time scales of lambda(6-85)*

The lambda(6-85)(*) pseudo-wild type of lambda repressor fragment is a fast two-state folder (k(f) approximately 35 microsec(-1) at 58 degrees C). Previously, highly stable lambda(6-85)(*) mutants with k(f) > 30 microsec(-1) have been engineered to fold nearly or fully downhill. Stabilization of the native state by solvent tuning might also tune lambda(6-85)(*) away from two-state folding. We test this prediction by examining the folding thermodynamics and kinetics of lambda(6-85)(*) in a stabilizing solvent, 45% by weight aqueous ethylene glycol at -28 degrees C. Detection of kinetics by circular dichroism at 222 nm (sensitive to helix content) and small angle X-ray scattering (measuring the radius of gyration) shows that refolding from guanidine hydrochloride denatured conditions exhibits very different time scales for collapse and secondary structure formation: the two processes become decoupled. Collapse remains a low-barrier activated process, while the fastest of several secondary structure formation time scales approaches the downhill folding limit. Two-state folding of lambda(6-85)(*) is not a robust process.     

The kinetics of G-CSF folding

The folding kinetics of G-CSF were determined by trp-fluorescence and far-UV circular dichroism. Folding and unfolding was achieved by rapid dilution and mixing of the denaturant, GdnHCl. G-CSF is a four-helical bundle protein with two long loops between the first and second helices and between the third and fourth helices. The entire conformational change expected by fluorescence was observed by stopped-flow technology, but due to rapid refolding kinetics only a portion was observed by circular dichroism. G-CSF contains two trp residues, and their contribution to the fluorescent-detected kinetics were deciphered through the use of single-site trp mutants. The trp moieties are probes of the local conformation surrounding their environment. One trp at residue 118 is located within the third helix while the other trp at residue 58 is part of the long loop between the first and second helices. The refolding results were most consistent with the following mechanism: U <--> I(1) <--> I(2) <--> N; where U represents the unfolded protein, I(1) represents intermediate state 1, I(2) represents intermediate state 2, and N represents the native state. I(1) is characterized as having approximately one-half of the native-like helical structure and none of the native-like fluorescence. I(2) has 100% of the native helical structure and most of the trp-118 and little of the trp-58 native-like fluorescence. Thus refolding occurs in distinct stages with half of the helix forming first followed by the remaining half of the helix including the third helix and finally the loop between the first and second helices folds.     

The folding of dimeric cytoplasmic malate dehydrogenase. Equilibrium and kinetic studies.

Porcine heart cytoplasmic malate dehydrogenase (s-MDH) is a dimeric protein (2 x 35 kDa). We have studied equilibrium unfolding and refolding of s-MDH using activity assay, fluorescence, far-UV and near-UV circular dichroism (CD) spectroscopy, hydrophobic probe-1-anilino-8-napthalene sulfonic acid binding, dynamic light scattering, and chromatographic (HPLC) techniques. The unfolding and refolding transitions are reversible and show the presence of two equilibrium intermediate states. The first one is a compact monomer (MC) formed immediately after subunit dissociation and the second one is an expanded monomer (ME), which is little less compact than the native monomer and has most of the characteristic features of a 'molten globule' state. The equilibrium transition is fitted in the model: 2U <--> 2M(E) <--> 2M(C) <--> D. The time course of kinetics of self- refolding of s-MDH revealed two parallel folding pathways [Rudolph, R., Fuchs, I. & Jaenicke, R. (1986) Biochemistry 25, 1662-1669]. The major pathway (70%) is 2U-->2M*-->2M-->D, the rate limiting step being the isomerization of the monomers (K1 = 1.7 x 10(-3) s(-1)). The minor pathway (30%) involves an association step leading to the incorrectly folding dimers, prior to the very slow D*-->D folding step. In this study, we have characterized the folding-assembly pathway of dimeric s-MDH. Our kinetic and equilibrium experiments indicate that the folding of s-MDH involves the formation of two folding intermediates. However, whether the equilibrium intermediates are equivalent to the kinetic ones is beyond the scope of this study.     

Refolding rate of stability-enhanced cytochrome c is independent of thermodynamic driving force.

N52I iso-2 cytochrome c is a variant of yeast iso-2 cytochrome c in which asparagine substitutes for isoleucine 52 in an alpha helical segment composed of residues 49-56. The N52I substitution results in a significant increase in both stability and cooperativity of equilibrium unfolding, and acts as a "global suppressor" of destabilizing mutations. The equilibrium m-value for denaturant-induced unfolding of N52I iso-2 increases by 30%, a surprisingly large amount for a single residue substitution. The folding/unfolding kinetics for N52I iso-2 have been measured by stopped-flow mixing and by manual mixing, and are compared to the kinetics of folding/unfolding of wild-type protein, iso-2 cytochrome c. The results show that the observable folding rate and the guanidine hydrochloride dependence of the folding rate are the same for iso-2 and N52I iso-2, despite the greater thermodynamic stability of N52I iso-2. Thus, there is no linear free-energy relationship between mutation-induced changes in stability and observable refolding rates. However, for N52I iso-2 the unfolding rate is slower and the guanidine hydrochloride dependence of the unfolding rate is smaller than for iso-2. The differences in the denaturant dependence of the unfolding rates suggest that the N52I substitution decreases the change in the solvent accessible hydrophobic surface between the native state and the transition state. Two aspects of the results are inconsistent with a two-state folding/unfolding mechanism and imply the presence of folding intermediates: (1) observable refolding rate constants calculated from the two-state mechanism by combining equilibrium data and unfolding rate measurements deviate from the observed refolding rate constants; (2) kinetically unresolved signal changes ("burst phase") are observed for both N52I iso-2 and iso-2 refolding. The "burst phase" amplitude is larger for N52I iso-2 than for iso-2, suggesting that the intermediates formed during the "burst phase" are stabilized by the N52I substitution.     

Recombination of S-peptide with S-protein during folding of ribonuclease S. I. Folding pathways of the slow-folding and fast-folding classes of unfolded S-protein.

The refolding kinetics of ribonuclease S have been measured by tyrosine absorbance, by tyrosine fluorescence emission, and by rapid binding of the specific inhibitor 2′CMP ² to folded RNAase S. The S-protein is first unfolded at pH 1.7 and then either mixed with S-peptide as refolding is initiated by a stopped-flow pH jump to pH 6.8, or the same results are obtained if S-protein and S-peptide are present together before refolding is initiated. The refolding kinetics of RNAase S have been measured as a function of temperature (10 to 40 °C) and of protein concentration (10 to 120 μm). The results are compared to the folding kinetics of S-protein alone and to earlier studies of RNAase A. A thermal folding transition of S-protein has been found below 30 °C at pH 1.7; its effects on the refolding kinetics are described in the following paper (Labhardt &; Baldwin, 1979).In this paper we characterize the refolding kinetics of unfolded S-protein, as it is found above 30 °C at pH 1.7, together with the kinetics of combination between S-peptide and S-protein during folding at pH 6.8. Two classes of unfolded S-protein molecules are found, fast-folding and slow-folding molecules, in a 20: 80 ratio. This is the same result as that found earlier for RNAase A; it is expected if the slow-folding molecules are produced by the slow cis-trans isomerization of proline residues after unfolding, since S-protein contains all four proline residues of RNAase A.The refolding kinetics of the fast-folding molecules show clearly that combination between S-peptide and S-protein occurs before folding of S-protein is complete. If combination occurred only after complete folding, then the kinetics of formation of RNAase S should be rather slow (5 s and 100 s at 30 °C) and nearly independent of protein concentration, as shown by separate measurements of the folding kinetics of S-protein, and of the combination between S-peptide and folded S-protein. The observed folding kinetics are faster than predicted by this model and also the folding rate increases strongly with protein concentration (apparent 1.6 order kinetics). The fact that RNAase S is formed more rapidly than S-protein alone is sufficient by itself to show that combination with S-peptide precedes complete folding of S-protein. Computer simulation of a simple, parallel-pathway scheme is able to reproduce the folding kinetics of the fast-folding molecules. All three probes give the same folding kinetics.These results exclude the model for protein folding in which the rate-limiting step is an initial diffusion of the polypeptide chain into a restricted range of three-dimensional configurations (“nueleation”) followed by rapid folding (“propagation”). If this model were valid, one would expect comparable rates of folding for RNAase A and for S-protein and one would also expect to find no populated folding intermediates, so that combination between S-peptide and S-protein should occur after folding is complete. Instead, RNAase A folds 60 times more rapidly than S-protein and also combination with S-peptide occurs before folding of S-protein is complete. The results demonstrate that the folding rate of S-protein increases after the formation, or stabilization, of an intermediate which results from combination with S-peptide. They support a sequential model for protein folding in which the rates of successive steps in folding depend on the stabilities of preceding intermediates.The refolding kinetics of the slow-folding molecules are complex. Two results demonstrate the presence of folding intermediates: (1) the three probes show different kinetic progress curves, and (2) the folding kinetics are concentration-dependent, in contrast to the results expected if complete folding of S-protein precedes combination with S-peptide. A faster phase of the slow-refolding reaction is detected both by tyrosine absorbance and fluorescence emission but not by 2′CMP binding, indicating that native RNAase S is not formed in this phase. Comparison of the kinetic progress curves measured by different probes is made with the use of the kinetic ratio test, which is defined here.     

The folding kinetics of the SDS-induced molten globule form of reduced cytochrome c

The folding of reduced cytochrome c (redcyt c) is increasingly being recognized as undergoing a mechanism that deviates from a two-state process. In previous far-UV TRORD studies of redcyt c folding, a rapidly forming intermediate was attributed to the appearance of a molten-globule-like (MG) state [Chen, E., Goldbeck, R. A., and Kliger, D. S. (2003) J. Phys. Chem. A 107, 8149-8155]. A slow folding phase (>1 ms) was identified with the formation of native (N) secondary structure from that MG form. Here, using 0.65 mM SDS to induce the MG state in oxidized cytochrome c, folding of redcyt c was triggered with fast photoreduction and probed from early microseconds to milliseconds using far-UV TRORD spectroscopy. The kinetics of the reaction are described with a time constant of 50 +/- 16 ms, which corresponds to 1 +/- 0.6 ms upon extrapolation of the data to zero SDS concentration. The latter folding time is about 5 times faster than the calculated GuHCl-free time constant of 5.5 +/- 1.4 ms for slow-phase folding obtained in our previous study. This ratio of rates would be consistent with a scenario in which 20-30% MG that is suggested to form in the fast phase of redcyt c folding in GuHCl is an obligatory intermediate. The native state forms from this obligatory intermediate with an observed rate, k(f) = fk(G-->N) where f is the fractional population of MG and k(G-->N) is the microscopic rate for MG --> N. Calculation and comparison of the m(#)/m values show agreement within the uncertainties between the SDS ( approximately 0.5) and GuHCl ( approximately 0.3) based redcyt c folding experiments, suggesting that the two experiments report on comparable intermediates. The m values were obtained from far-UV CD SDS titration experiments, from which calculated thermodynamic parameters allowed estimation of the reduction potential for the MG state to be approximately 155 mV (-15 kJ/mol) vs NHE which, like the reduction potential for the native state, is more favorable than that for the unfolded protein.     

Fast Subdomain Folding Prior to the Global Refolding Transition of E. coli Adenylate Kinase: A Double Kinetics Study

The rate of folding of globular proteins depends on specific local and nonlocal intramolecular interactions. What is the relative role of these two types of interaction at the initiation of refolding? We address this question by application of a “double kinetics” method based on fast initiation of refolding of site specifically labeled protein samples and detection of the transient distributions of selected intramolecular distances by means of fast measurements of time‐resolved fluorescence resonance energy transfer. We determined the distribution of the distance between the ends of a 44‐chain segment that includes the AMP_bind domain, by labeling residues 28 and 71, in Escherichia coli adenylate kinase (AK) and the distribution of the distance between residues 18 and 203, which depends on the overall order of the molecule. That distribution shows two-state transition to the native intramolecular distance at the same rate as that of the cooperative refolding transition of the AK molecule. In sharp contrast, the distance distribution between residues 28 and 71 is already native like at the end of the dead-time of the mixing device. This fast formation of native short distance between two widely separated chain sections can be either dependent on fast folding of the AMP_bind domain or a result of a very effective nonlocal interaction between specific short clusters of hydrophobic residues. Further experiments on studying the kinetics of folding of selected structural elements in the protein will help determination of the driving force of this early folding event.     

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.     

Equilibrium and kinetic studies of protein cooperativity using urea-induced folding/unfolding of a Ubq-UIM fusion protein

Understanding the origins of cooperativity in proteins remains an important topic in protein folding. This study describes experimental folding/unfolding equilibrium and kinetic studies of the engineered protein Ubq-UIM, consisting of ubiquitin (Ubq) fused to the sequence of the ubiquitin interacting motif (UIM) via a short linker. Urea-induced folding/unfolding profiles of Ubq-UIM were monitored by far-UV circular dichroism and fluorescence spectroscopies and compared to those of the isolated Ubq domain. It was found that the equilibrium data for Ubq-UIM is inconsistent with a two-state model. Analysis of the kinetics of folding shows similarity in the folding transition state ensemble between Ubq and Ubq-UIM, suggesting that formation of Ubq domain is independent of UIM. The major contribution to the stabilization of Ubq-UIM, relative to Ubq, was found to be in the rates of unfolding. Moreover, it was found that the kinetic m-values for Ubq-UIM unfolding, monitored by different probes (far-UV circular dichroism and fluorescence spectroscopies), are different; thereby, further supporting deviations from a two-state behavior. A thermodynamic linkage model that involves four states was found to be applicable to the urea-induced unfolding of Ubq-UIM, which is in agreement with the previous temperature-induced unfolding study. The applicability of the model was further supported by site-directed variants of Ubq-UIM that have altered stabilities of Ubq/UIM interface and/or stabilities of individual Ubq- and UIM-domains. All variants show increased cooperativity and one variant, E43N_Ubq-UIM, appears to behave very close to an equilibrium two-state.     

The kinetics of bovine growth hormone folding are consistent with a framework model

The framework model of protein folding requires the hydrogen-bonded secondary structure to be formed early in folding (i.e. the formation of secondary structure precedes the tertiary structure) (Kim, P. S., and Baldwin, R. L. (1982) Annu. Rev. Biochem. 51, 459-489). To test the framework model directly the kinetics of bovine growth hormone (bGH) folding were compared utilizing two methods of detection, one that measures the secondary structure (far ultraviolet circular dichroism) and another that measures the tertiary structure (near ultraviolet absorbance). The results demonstrate that, under identical folding conditions, the kinetics observed by far ultraviolet circular dichroism are faster than those observed by ultraviolet absorption. The faster kinetics observed by circular dichroism indicate the existence of a helix-containing intermediate which is consistent with the framework model. The effect of protein concentration and denaturant concentration on the kinetics of refolding were studied. The rate of refolding measured by absorbance and circular dichroism was dependent on protein concentration. The protein concentration dependence on refolding is due to the transient formation of an associated intermediate. The concentration dependence of folding is taken as evidence that folding is a sequential process with partially folded monomers responsible for the observed association effect. At dilute protein concentrations the refolding can be studied independent of the association phenomena. The growth hormones utilized in this study were derived from Escherichia coli through recombinant DNA technology and from bovine pituitaries. The pituitary-derived bGH has been shown to be heterogeneous at the NH2 terminus (Lorenson, M. F., and Ellis, S. (1975) Endocrinology 96, 833-838), whereas the recombinant DNA-derived bGH contains a single NH2 terminus. No differences in the folding kinetics between the recombinant DNA and pituitary derived-bGH were observed. It is concluded that the heterogeneity of the NH2 terminus of growth hormone obtained from bovine pituitaries does not affect the observed in vitro folding kinetics.     

Rapid folding with and without populated intermediates in the homologous four-helix proteins Im7 and Im9

The kinetics and thermodynamics of the folding of the homologous four-helix proteins Im7 and Im9 have been characterised at pH 7.0 and 10 degrees C. These proteins are 60 % identical in sequence and have the same three-dimensional structure, yet appear to fold by different kinetic mechanisms. The logarithm of the folding and unfolding rates of Im9 change linearly as a function of urea concentration and fit well to an equation describing a two-state mechanism (with a folding rate of 1500 s-1, an unfolding rate of 0. 01 s-1, and a highly compact transition state that has approximately 95 % of the native surface area buried). By contrast, there is clear evidence for the population of an intermediate during the refolding of Im7, as indicated by a change in the urea dependence of the folding rate and the presence of a significant burst phase amplitude in the refolding kinetics. Under stabilising conditions (0.25 M Na2SO4, pH 7.0 and 10 degrees C) the folding of Im9 remains two-state, whilst under similar conditions (0.4 M Na2SO4, pH 7.0 and 10 degrees C) the intermediate populated during Im7 refolding is significantly stabilised (KUI=125). Equilibrium denaturation experiments, under the conditions used in the kinetic measurements, show that Im7 is significantly less stable than Im9 (DeltaDeltaG 9.3 kJ/mol) and the DeltaG and m values determined accord with those obtained from the fit to the kinetic data. The results show, therefore, that the population of an intermediate in the refolding of the immunity protein structure is defined by the precise amino acid sequence rather than the global stability of the protein. We discuss the possibility that the intermediate of Im7 is populated due to differences in helix propensity in Im7 and Im9 and the relevance of these data to the folding of helical proteins in general.     

Cooperativity,smooth energy landscapes and the origins of topology-dependent protein folding rates

The relative folding rates of simple, single-domain proteins, proteins whose folding energy landscapes are smooth, are highly dispersed and strongly correlated with native-state topology. In contrast, the relative folding rates of small, Gō-potential lattice polymers, which also exhibit smooth energy landscapes, are poorly dispersed and insignificantly correlated with native-state topology. Here, we investigate this discrepancy in light of a recent, quantitative theory of two-state folding kinetics, the topomer search model. This model stipulates that the topology-dependence of two-state folding rates is a direct consequence of the extraordinarily cooperative equilibrium folding of simple proteins. We demonstrate that traditional Gō polymers lack the extreme cooperativity that characterizes the folding of naturally occurring, two-state proteins and confirm that the folding rates of a diverse set of Gō 27-mers are poorly dispersed and effectively uncorrelated with native state topology. Upon modestly increasing the cooperativity of the Gō-potential, however, significantly increased dispersion and strongly topology-dependent kinetics are observed. These results support previous arguments that the cooperative folding of simple, single-domain proteins gives rise to their topology-dependent folding rates. We speculate that this cooperativity, and thus, indirectly, the topology-rate relationship, may have arisen in order to generate the smooth energetic landscapes upon which rapid folding can occur.     

Structure is lost incrementally during the unfolding of barstar

Coincidental equilibrium unfolding transitions observed by multiple structural probes are taken to justify the modeling of protein unfolding as a two-state, N <==> U, cooperative process. However, for many of the large number of proteins that undergo apparently two-state equilibrium unfolding reactions, folding intermediates are detected in kinetic experiments. The small protein barstar is one such protein. Here the two-state model for equilibrium unfolding has been critically evaluated in barstar by estimating the intramolecular distance distribution by time-resolved fluorescence resonance energy transfer (TR-FRET) methods, in which fluorescence decay kinetics are analyzed by the maximum entropy method (MEM). Using a mutant form of barstar containing only Trp 53 as the fluorescence donor and a thionitrobenzoic acid moiety attached to Cys 82 as the fluorescence acceptor, the distance between the donor and acceptor has been shown to increase incrementally with increasing denaturant concentration. Although other probes, such as circular dichroism and fluorescence intensity, suggest that the labeled protein undergoes two-state equilibrium unfolding, the TR-FRET probe clearly indicates multistate equilibrium unfolding. Native protein expands progressively through a continuum of native-like forms that achieve the dimensions of a molten globule, whose heterogeneity increases with increasing denaturant concentration and which appears to be separated from the unfolded ensemble by a free energy barrier.