Folding of circular permutants with decreased contact order: general trend balanced by protein stability.

To examine the influence of contact order and stability on the refolding rate constant for two-state proteins, we have analysed the folding kinetics of the small beta-alpha-beta protein S6 and two of its circular permutants with relative contact orders of 0.19, 0.15 and 0.12. Data reveal a small but significant increase of the refolding rate constant (log k(f)) with decreasing contact order. At the same time, the decreased contact order is correlated to losses in global stability and alterations of the folding nucleus. When the differences in stability are accounted for by addition of Na2SO4 or by comparison of the folding kinetics at the transition mid-point, the dependence between log k(f) and contact order becomes stronger and follows the general correlation for two-state proteins. The observation emphasizes the combined action of topology and stability in controlling the rate constant of protein folding.

A simple way to measure protein refolding rates in water.

Refolding of proteins is traditionally carried out either by diluting the denaturant-unfolded protein into buffer (GdmCl-jump) or by mixing the acid-denatured protein with strong buffer (pH-jump). The first method does not allow direct measurement of folding rates in water since the GdmCl cannot be infinitely diluted, and the second method suffers from the limitation that many proteins cannot be pH-denatured. Further, some proteins do not refold reversibly from low pH where they get trapped as aggregation prone intermediates. Here, we present an alternative approach for direct measurement of refolding rates in water, which does not rely on extrapolation. The protein is denatured in SDS, and is then mixed with alpha-cyclodextrin, which rapidly strips SDS molecules from the protein, leaving the naked unfolded protein to refold.

Characterisation of the transition states for protein folding: towards a new level of mechanistic detail in protein engineering analysis.

The field of protein folding now offers considerable excitement. Comparative studies of the transition-state structures for a series of protein families with analogous structures have helped to uncover the overall rules for protein folding. In addition, new protein engineering experiments that continuously follow the growth of the folding nucleus have started to fill in the missing details.

Designed protein tetramer zipped together with a hydrophobic Alzheimer homology: a structural clue to amyloid assembly.

Limited solubility and precipitation of amyloidogenic sequences such as the Alzheimer peptide (beta-AP) are major obstacles to a molecular understanding of protein fibrillation and deposition processes. Here we have circumvented the solubility problem by stepwise engineering a beta-AP homology into a soluble scaffold, the monomeric protein S6. The S6 construct with the highest beta-AP homology crystallizes as a tetramer that is linked by the beta-AP residues forming intermolecular antiparallel beta-sheets. This construct also shows increased coil aggregation during refolding, and a 14-mer peptide encompassing the engineered sequence forms fibrils. Mutational analysis shows that intermolecular association is linked to the overall hydrophobicity of the sticky sequence and implies the existence of "structural gatekeepers" in the wild-type protein, that is, charged side chains that prevent aggregation by interrupting contiguous stretches of hydrophobic residues in the primary sequence.

From snapshot to movie: phi analysis of protein folding transition states taken one step further.

Kinetic anomalies in protein folding can result from changes of the kinetic ground states (D, I, and N), changes of the protein folding transition state, or both. The 102-residue protein U1A has a symmetrically curved chevron plot which seems to result mainly from changes of the transition state. At low concentrations of denaturant the transition state occurs early in the folding reaction, whereas at high denaturant concentration it moves close to the native structure. In this study we use this movement to follow continuously the formation and growth of U1A's folding nucleus by phi analysis. Although U1A's transition state structure is generally delocalized and displays a typical nucleation-condensation pattern, we can still resolve a sequence of folding events. However, these events are sufficiently coupled to start almost simultaneously throughout the transition state structure.

Salt-induced detour through compact regions of the protein folding landscape.

In several cases, inorganic salts have been used to induce partly structured states in protein folding. But what is the nature of these states: Do they represent key stepping stones in the folding process, or are they circumstantial pitfalls in the energy landscape? Here we report that, in the case of the two-state protein S6, the salt-induced collapsed state is off the usual folding routes in the sense that it is prematurely collapsed and slows down folding by several orders of magnitude. Although this species is over-compact, it is not a dead-end trap but may fold by alternative channels to the native state.

Formation of short-lived protein aggregates directly from the coil in two-state folding.

Recent results on the 102 residue protein U1A show that protein aggregation is not always slow and irreversible but may take place transiently in refolding studies on a millisecond time scale. In this study we observe a similar aggregation behavior with the classical two-state protein CI2. Since both U1A and CI2 appear to fold directly from the coil at low protein concentrations, it is likely that the aggregates also form directly from the coil. This is in contrast to the behavior of larger multistate proteins where aggregation occurs in connection to "sticky" intermediates.

Structural changes in the transition state of protein folding: alternative interpretations of curved chevron plots.

The interpretation of folding rates is often rationalized within the context of transition state theory. This means that the reaction rate is linked to an activation barrier, the height of which is determined by the free energy difference between a ground state (the starting point) and an apparent transition state. Changes in the folding kinetics are thus caused by effects on either the ground state, the transition state, or both. However, structural changes of the transition state are rarely discussed in connection with experimental data, and kinetic anomalies are commonly ascribed to ground state effects alone, e.g., depletion or accumulation of structural intermediates upon addition of denaturant. In this study, we present kinetic data which are best described by transition state changes. We also show that ground state effects and transition state effects are in general difficult to distinguish kinetically. The analysis is based on the structurally homologous proteins U1A and S6. Both proteins display two-state behavior, but there is a marked difference in their kinetics. S6 exhibits a classical V-shaped chevron plot (log observed rate constant vs denaturant concentration), whereas U1A's chevron plot is symmetrically curved, like an inverted bell curve. However, S6 is readily mutated to display U1A-like kinetics. The seemingly drastic effects of these mutations are readily ascribed to transition state movements where large kinetic differences result from relatively small alterations of a common free energy profile and broad activation barriers.

The changing nature of the protein folding transition state: implications for the shape of the free-energy profile for folding.

According to landscape theory proteins do not fold by localised pathways, but find their native conformation by a progressive organisation of an ensemble of partly folded structures down a folding funnel. Here, we use kinetics and protein engineering to investigate the shape of the free-energy profile for two-state folding, which is the macroscopic view of the funnel process for small and rapidly folding proteins. Our experiments are based mainly on structural changes of the transition state of chymotrypsin inhibitor 2 (CI2) upon destabilisation with temperature and GdnHCl. The transition state ensemble of CI2 is a localised feature in the free-energy profile that is sharply higher than the other parts of the activation barrier. The relatively fixed position of the CI2 transition state on the reaction coordinate makes it easy to characterise but contributes also to overshadow the rest of the free-energy profile, the shape of which is inaccessible for analysis. Results from mutants of CI2 and comparison with other two-state proteins, however, point at the possibility that the barrier for folding is generally broad and that localised transition states result from minor ripples in the free-energy profile. Accordingly, variabilities in the folding kinetics may not indicate different folding mechanisms, but could be accounted for by various degrees of ruggedness on top of very broad activation barriers for folding. The concept is attractive since it summarises a wide range of folding data which have previously seemed unrelated. It is also supported by theory. Consistent with experiment, broad barriers predict that new transition state ensembles are exposed upon extreme destabilisation or radical mutations.

Movement of the intermediate and rate determining transition state of barnase on the energy landscape with changing temperature.

Barnase folds cooperatively via an intermediate, followed by a rate-limiting transition state. We have probed possible movements of the intermediate and transition state on the energy landscape with changing temperature, from the temperature dependence of phi-values. These measure interaction energies at the level of individual residues. The results suggest that single destabilizing mutations can redistribute the structures in each ensemble on the energy landscape as the temperature is varied. The results were also analyzed in terms of the bulk properties of each ensemble and their movements on the energy landscape. These movements can be described in terms of the "new view" or equivalently in terms of the classical "Hammond" or "anti-Hammond" effects, observed previously for the transition states of barnase at 7.25 M urea and chymotrypsin inhibitor 2 (CI2) at 0.3 and 6 M GdmCl. The results presented here are under more relevant physiological conditions, free of chemical denaturants. The "average" structures of the intermediate and the transition state do not appear to move on the energy landscape as the temperature is varied. However, there are small rearrangements in the major alpha-helix of the transition state, its average structure moving closer to the native state as the temperature is increased, in agreement with the Hammond effect observed previously.

Folding intermediates of wild-type and mutants of barnase. I. Use of phi-value analysis and m-values to probe the cooperative nature of the folding pre-equilibrium.

It is difficult to determine whether transient folding intermediates have a cooperative (or first-order) folding transition without measuring their rates of formation directly. An intermediate I could be formed by a second-order transition from a denatured state D that is progressively changed into I as conditions are changed. We have not been able to monitor the rate of formation of the folding intermediate of barnase directly, but have analysed its reactivity and the equilibrium constant for its formation over a combination of wide ranges of temperature, concentration of denaturant and structural variation. Phase diagrams have been constructed for wild-type and 16 mutant proteins to map out the nature of the energy landscape of the denatured state. The free energy of unfolding of I, delta GD-I, changes with [urea] according to a highly cooperative transition. Further, mD-I (= delta delta GD-I/delta [urea]) for wild-type and several mutants is relatively insensitive to temperature, as would be expected for an intermediate that is formed cooperatively, rather than one that melts out according to a second-order transition. The phi-values for the formation of I change abruptly through the folding transitions rather than have the smooth changes expected for a second-order transition. There is a subset of mutants for which both mD-I and phi-value analysis indicate that a second intermediate becomes populated close to the melting temperatures of the native proteins. The folding intermediate of barnase is, thus, a relatively discrete and compact entity which is formed cooperatively.

The rate of isomerisation of peptidyl-proline bonds as a probe for interactions in the physiological denatured state of chymotrypsin inhibitor 2.

There are four peptidyl-proline bonds in the 64-residue protein chymotrypsin inhibitor 2 (CI2), all of which are in the trans conformation in the native structure. The isomerisation of one or more of these peptidyl-proline bonds to the cis conformation in the denatured state gives rise to heterogeneity, leading to both fast and slow-folding species. The refolding of the fast-folding species, which has all trans peptidyl-proline bonds, is much faster than that of the slow-folding species, which have one or more cis peptidyl-proline bonds. In CI2, the slow-folding species can be classified into two groups by their rates of refolding, temperature-dependence, pH-dependence and [GdmCl]-dependence of the rate constants and the effect of peptidyl-prolyl isomerase on the rate constants. The replacement of Pro6 by Ala removes one of the slow refolding phases, suggesting that the cis peptidyl-Pro6 conformation is solely responsible for one of the slow-folding species. Pro6 is located in a region of the protein where non-random interactions have been found in a series of N-terminal fragments of CI2 (residues 1 to 13, 1 to 25, 1 to 28 and 1 to 40). In addition, NMR studies on a mutant fragment, (1-40)T3A, have confirmed that this non-native interaction is associated with the bulky side-chain of Trp5. The atypical rate of cis to trans isomerisation of the peptidyl-Pro bond is indicative of the presence of a similar hydrophobic cluster in the physiological denatured state of intact CI2.

Transient aggregates in protein folding are easily mistaken for folding intermediates.

It has been questioned recently whether populated intermediates are important for the protein folding process or are artefacts trapped in nonproductive pathways. We report here that the rapidly formed intermediate of the spliceosomal protein U1A is an off-pathway artefact caused by transient aggregation of denatured protein under native conditions. Transient aggregates are easily mistaken for structured monomers and could be a general problem in time-resolved folding studies.

High-energy channeling in protein folding.

Recent controversy about the role of populated intermediates in protein folding emphasizes the need to better characterize other events on the folding pathway. A complication is that these involve high-energy states which are difficult to target experimentally since they do not accumulate kinetically. Here, we explore the energetics of high-energy states and map out the shape of the free-energy profile for folding of the two-state protein U1A. The analysis is based on nonlinearities in the GdnHCl dependence of the activation energy for unfolding, which we interpret in terms of structural changes of the protein-folding transition state. The result suggests that U1A folds by high-energy channeling where most of the conformational search takes place isoenergetically at transition-state level. This is manifested in a very broad and flat activation barrier, the top of which covers more than 60% of the reaction coordinate. The interpretation favors a folding mechanism where the pathway leading to the native protein is determined by the sequence's ability to stabilize productive transition states.

Thermodynamics of denaturation of mutants of barnase with disulfide crosslinks.

We have measured the effects of disulfide crosslinks on the thermodynamics of denaturation of three mutants of barnase that contain cystine and the corresponding single and double cysteine mutants. At first sight, the data are consistent with the hypothesis that disulfide crosslinks stabilise proteins through entropic destabilisation of the denatured state, but the decreases in the entropy of denaturation are larger than predicted and are accompanied by decreases in the enthalpy of denaturation. These effects are not a unique feature of the disulfide crosslink and are observed in a range of non-crosslinked mutants of barnase as part of a general enthalpy-entropy compensation phenomenon. Similarly, effects on the heat capacity change for denaturation (delta C(p)d), determined from the slope of the enthalpy of denaturation versus temperature, are not confined to mutants with disulfide crosslinks. The value of delta C(p)d is lower in four stabilised mutants than in wild-type barnase, irrespective of the presence of a disulfide crosslink, while the delta C(p)d remains unchanged in a destabilised mutant containing a disulfide. The variation in delta C(p)d may result from an inherent temperature-dependence of delta C(p)d, since it is measured for each mutant over a different temperature range. The thermodynamics of denaturation of the disulfide mutant with a crosslink between positions 70 and 92 change anomalously with pH but in a similar way to that of the D93N mutant of barnase, which lacks the D93-R69 salt-bridge present in the wild-type. This finding confirms initial observations in the X-ray structure of this disulfide mutant that the salt-bridge has been disrupted by the introduced crosslink.

Titration properties and thermodynamics of the transition state for folding: comparison of two-state and multi-state folding pathways.

CI2 folds and unfolds as a single cooperative unit by simple two-state kinetics, which enables the properties of the transition state to be measured from both the forward and backward rate constants. We have examined how the free energy of the transition state for the folding of chymotrypsin inhibitor 2 (CI2) changes with pH and temperature. In addition to the standard thermodynamic quantities, we have measured the overall acid-titration properties of the transition state and its heat capacity relative to both the denatured and native states. We were able to determine the latter by a method analogous to a well-established procedure for measuring the change in heat capacity for equilibrium unfolding: the enthalpy of activation of unfolding at different values of acid pH were plotted against the average temperature of each determination. Our results show that the transition state of CI2 has lost most of the electrostatic and van der Waals' interactions that are found in the native state, but it remains compact and this prevents water molecules from entering some parts of the hydrophobic core. The properties of the transition state of CI2 are then compared with the major folding transition state of the larger protein barnase, which folds by a multi-state mechanism, with the accumulation of a partly structured intermediate (Dphys or I). CI2 folds from a largely unstructured denatured state under physiological conditions via a transition state which is compact but relatively uniformly unstructured, with tertiary and secondary structure being formed in parallel. We term this an expanded pathway. Conversely, barnase folds from a largely structured denatured state in which elements of structure are well formed through a transition state that has islands of folded elements of structure. We term this a compact pathway. These two pathways may correspond to the two extreme ends of a continuous spectrum of protein folding mechanisms. Although the properties of the two transition states are very different, the activation barrier for folding (Dphys-->++) is very similar for both proteins.

New approach to the study of transient protein conformations: the formation of a semiburied salt link in the folding pathway of barnase.

We use in this study a novel kinetic approach to determine the H+ titration properties of a semiburied salt link in the transition state for unfolding of barnase. The approach is based on changes in the pH dependence of the kinetics upon mutation of a target residue. This makes it relatively insensitive to the absolute value of the stability and, thereby, to artifacts caused by structural rearrangements around the site of mutation. The semiburied salt bridge studied here is between Asp93 and Arg69. Mutation of either residue significantly destabilized the protein, and the pKa value of Asp93 is severely lowered in the native state to below 1 because of the ionic interaction with Arg69. The Asp93-Arg69 salt link appears to be formed early in the folding process; the pKa value of Asp93 in the transition state (approximately 1) is similar to that in the native state, and deletion of the ionic interaction with Arg69 substantially destabilizes the folding intermediate and changes the kinetic behavior from multistate to two-state or close to two-state, depending on the conditions. The results suggest that the formation of ionic interactions within clusters of hydrophobic residues can be important for early folding events and can control kinetically the folding pathway. This is not because of the inherent stability of the salt link but because the presence of two unpaired charges is very unfavorable. The data reveal also that fractional phi values are consistent with a uniformly expanded transition state or one with closely spaced energy levels and not with parallel folding pathways.

Formation of electrostatic interactions on the protein-folding pathway.

We describe a novel method of obtaining information about the structures of transient conformations on the folding pathway from their ionization equilibria: the H+ -titration behavior of a protein residue is determined in detail by its environment. We follow the consolidation of electrostatic interactions in the folding process by comparing the acid-titration behavior of four conformations on the folding pathway of barnase: the denatured state (D); the folding intermediate (I); the major transition state(+); and the native state (N) in the scheme D <==>I<==>(+)<==)N. The results show that strong electrostatic interactions are present in the major transition state: some of its carboxylate groups display the highly anomalous pKA values of <2 that are found in N. However, the network of ionic surface interactions is not formed in (+), and the overall protection of titrating residues is weakened. The results are consistent with the transition state being an expanded form of the native state, with a weakened but poorly hydrated core and a loosened periphery. The surface residues in such an expanded conformation are, on average, farther apart than are those in the center of the molecule. The results concerning the folding intermediate are less clear cut. We show that the interpretation of kinetic data relating to folding intermediates depends critically on assumptions about their equilibrium with other denatured states. We have, however, characterized the pH and ionic strength dependence of an apparent stability of I, using the deviation from two-state folding behavior, which can be used to investigate electrostatic properties of folding intermediates from a variety of mechanisms. In general, the data imply that I is somewhat similar to (+). Apparently odd titration properties of I are investigated further in the accompanying paper [Oliveberg, M., & Fersht, A. (1996) Biochemistry 35, 2738-2749]. The approach in this study may be of particular use in testing theoretical results since the relationship between H+ -titration properties and protein structure can be treated by classical electrostatics.

Thermodynamics of transient conformations in the folding pathway of barnase: reorganization of the folding intermediate at low pH.

New classes of small proteins have recently been found that refold rapidly with two-state kinetics from a substantially unfolded conformation ("U") and without the accumulation of a folding intermediate. Barnase, on the other hand, is representative of a class of proteins that display multistate kinetics and refold from a partly structured conformation, a folding intermediate (I). The accumulation of I on the folding pathway of barnase is highly dependent on the experimental conditions: a transition from multistate to two-state folding behavior can be induced simply by changing the reaction conditions away from physiological, i.e., elevated temperatures, high concentration of denaturant, or low pH. We argue that the change in folding behavior results from the denatured state changing under different conditions. The denatured state seems compact and partly structured at conditions that favor folding but is disorganized at denaturing conditions. At physiological pH and temperature, the denatured state (Dphys) is the folding intermediate because it is the most stable of the denatured conformation, i.e., Dphys is identical to I. At high temperature or [urea], however, Dphys becomes destabilized relative to less structured denatured states ("U"). Kinetics under these extreme conditions is two-state because the refolding reaction is from "U" to the native state with no significant accumulation of Dphys (identical to I) which is here a high-energy intermediate. The two-state behavior at low pH results from a different cause. The acid-denatured state of barnase (Dacid) is not as unfolded as "U" but energetically similar to Dphys (identical to I). It appears that protonation of Dphys has only marginal effects on its stability, so that the protonated form of Dphys constitutes the acid-denatured state at equilibrium. The energetic similarity between Dphys and Dacid gives rise to two-state kinetics at low pH, although the refolding is from a compact denatured state throughout the pH range. Protonation of Dphys to give Dacid causes the structure to become more disorganized and hydrated. The heat capacity of Dphys (identical to I) at pH 6.3 is in between that of "U" and the native protein. We suggest that protonation of folding intermediates disrupts their structural integrity and allows isoenergetic reorganizations that increase the solvation of charged residues. Such protonated and reorganized folding intermediates may then constitute the molten globules, which are compact denatured states that are sometimes observed at equilibrium at low pH and high ionic strength. Under all experimental conditions, the heat capacity of the major transition state is close to that of the native protein. This, together with its titration properties, shows that the transition state is an expanded form of the native state with a weakened but poorly hydrated hydrophobic core, and with disrupted surface regions.

Perturbed pKA-values in the denatured states of proteins.

We show in this study that the ionisation equilibria of denatured proteins in pure water are inconsistent with the "fully-unfolded" conformation being an extended coil where the residues are isolated from one another by the intervening solvent. The effects of acid and salt on the stability of the barley chymotrypsin inhibitor 2 (CI2) were investigated and the pKA-values of all carboxylate residues in the native protein were determined by NMR. A comparison of the experimentally determined pH-dependence of the protein stability and that calculated using observed pKA-values in the native state, reveals that the pKA-values in the denatured state are, on average, 0.3 pH units lower than those of model compounds. An increase in ionic strength eliminates these pKA shifts in the denatured state. This shows that there are electrostatic interactions in the denatured state of CI2. Since previous studies on barnase and the Ovomucoid Third Domain also report anomalous titration behaviours of the denatured states, it appears that perturbed pKA-values in the denatured state is a general phenomenon, indicating that the unfolded conformation in pure water is a fairly compact species. In addition, we used a mutational approach to determine the pKA-values of a carboxylate group in both the native and denatured states. The pKA-value in the native state obtained by this method is in precise agreement with that obtained by NMR.