pH-jump-induced folding and unfolding studies of barstar: evidence for multiple folding and unfolding pathways.

Equilibrium and kinetic characterization of the high pH-induced unfolding transition of the small protein barstar have been carried out in the pH range 7-12. A mutant form of barstar, containing a single tryptophan, Trp 53, completely buried in the core of the native protein, has been used. It is shown that the protein undergoes reversible unfolding above pH 10. The pH 12 form (the D form) appears to be as unfolded as the form unfolded by 6 M guanidine hydrochloride (GdnHCl) at pH 7 (the U form): both forms have similar fluorescence and far-UV circular dichroism (CD) signals and have similar sizes, as determined by dynamic light scattering and size-exclusion chromatography. No residual structure is detected in the D form: addition of GdnHCl does not alter its fluorescence and far-UV CD properties. The fluorescence signal of Trp 53 has been used to monitor folding and unfolding kinetics. The kinetics of folding of the D form in the pH range 7-11 are complex and are described by four exponential processes, as are the kinetics of unfolding of the native state (N state) in the pH range 10.5-12. Each kinetic phase of folding decreases in rate with increase in pH from 7 to 10.85, and each kinetic phase of unfolding decreases in rate with decrease in pH from 12 to 10.85. At pH 10.85, the folding and unfolding rates for any particular kinetic phase are identical and minimal. The two slowest phases of folding and unfolding have identical kinetics whether measured by Trp 53 fluorescence or by mean residue ellipticity at 222 nm. Direct determination of the increase in the N state with time of folding at pH 7 and of the D form with time of unfolding at pH 12, by means of double-jump assays, show that between 85 and 95% of protein molecules fold or unfold via fast pathways between the two forms. The remaining 5-15% of protein molecules appear to fold or unfold via slower pathways, on which at least two intermediates accumulate. The mechanism of folding from the high pH-denatured D form is remarkably similar to the mechanism of folding from the urea or GdnHCl-denatured U form.     

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.     

Equilibrium folding and stability of myotrophin: a model ankyrin repeat protein

Proteins containing stretches of repeating amino acid sequences are prevalent throughout nature, yet little is known about the general folding and assembly mechanisms of these systems. Here we propose myotrophin as a model system to study the folding of ankyrin repeat proteins. Myotrophin is folded over a large pH range and is soluble at high concentrations. Thermal and urea denaturation studies show that the protein displays cooperative two-state folding properties despite its modular nature. Taken together with previous studies on other ankyrin repeat proteins, our data suggest that the two-state folding pathway may be characteristic of ankyrin repeat proteins and other integrated alpha-helical repeat proteins in general.     

Predicting protein folding pathways

A structured folding pathway, which is a time ordered sequence of folding events, plays an important role in the protein folding process and hence, in the conformational search. Pathway prediction, thus gives more insight into the folding process and is a valuable guiding tool to search the conformation space. In this paper, we propose a novel 'unfolding' approach to predict the folding pathway. We apply graph-based methods on a weighted secondary structure graph of a protein to predict the sequence of unfolding events. When viewed in reverse this yields the folding pathway. We demonstrate the success of our approach on several proteins whose pathway is partially known.     

Equilibrium and kinetics of the folding and unfolding of canine milk lysozyme

The equilibrium and kinetics of canine milk lysozyme folding/unfolding were studied by peptide and aromatic circular dichroism and tryptophan fluorescence spectroscopy. The Ca2+-free apo form of the protein exhibited a three-state equilibrium unfolding, in which the molten globule state is well populated as an unfolding intermediate. A rigorous analysis of holo protein unfolding, including the data from the kinetic refolding experiments, revealed that the holo protein also underwent three-state unfolding with the same molten globule intermediate. Although the observed kinetic refolding curves of both forms were single-exponential, a burst-phase change in the peptide ellipticity was observed in both forms, and the burst-phase intermediates of both forms were identical to each other with respect to their stability, indicating that the intermediate does not bind Ca2+. This intermediate was also shown to be identical to the molten globule state observed at equilibrium. The phi-value analysis, based on the effect of Ca2+ on the folding and unfolding rate constants, showed that the Ca2+-binding site was not yet organized in the transition state of folding. A comparison of the result with that previously reported for alpha-lactalbumin indicated that the folding initiation site is different between canine milk lysozyme and alpha-lactalbumin, and hence, the folding pathways must be different between the two proteins. These results thus provide an example of the phenomenon wherein proteins that are very homologous to each other take different folding pathways. It is also shown that the native state of the apo form is composed of at least two species that interconvert.     

Multiple-probe analysis of folding and unfolding pathways of human serum albumin. Evidence for a framework mechanism of folding.

The changes in the far-UV CD signal, intrinsic tryptophan fluorescence and bilirubin absorbance showed that the guanidine hydrochloride (GdnHCl)-induced unfolding of a multidomain protein, human serum albumin (HSA), followed a two-state process. However, using environment sensitive Nile red fluorescence, the unfolding and folding pathways of HSA were found to follow a three-state process and an intermediate was detected in the range 0.25-1.5 m GdnHCl. The intermediate state displayed 45% higher fluorescence intensity than that of the native state. The increase in the Nile red fluorescence was found to be due to an increase in the quantum yield of the HSA-bound Nile red. Low concentrations of GdnHCl neither altered the binding affinity of Nile red to HSA nor induced the aggregation of HSA. In addition, the secondary structure of HSA was not perturbed during the first unfolding transition (<1.5 m GdnHCl); however, the secondary structure was completely lost during the second transition. The data together showed that the half maximal loss of the tertiary structure occurred at a lower GdnHCl concentration than the loss of the secondary structure. Further kinetic studies of the refolding process of HSA using multiple spectroscopic techniques showed that the folding occurred in two phases, a burst phase followed by a slow phase. An intermediate with native-like secondary structure but only a partial tertiary structure was found to form in the burst phase of refolding. Then, the intermediate slowly folded into the native state. An analysis of the refolding data suggested that the folding of HSA could be best explained by the framework model.     

Optimum folding pathways for growing protein chains

The folding of a protein is studied as it grows residue by residue from the N-terminus and enters an environment that stabilizes the folded state. This mode of folding of a growing chain is different from refolding where the full chain folds from a disordered initial configuration to the native state. We propose a sequential dynamic optimization method that computes the evolution of optimum folding pathways as amino acid residues are added to the peptide chain one by one. The dynamic optimization formulation is deterministic and uses Newton's equations of motion and a Go-type potential that establishes the native contacts and excluded volume effects. The method predicts the optimal energy-minimizing path among all the alternative feasible pathways. As two examples, the folding of the chicken villin headpiece, a 36-residue protein, and chymotrypsin inhibitor 2 (CI2), a 64-residue protein, are studied. Results on the villin headpiece show significant differences from the refolding of the same chain studied previously. Results on CI2 mostly agree with the results of refolding experiments and computational work.     

Dynamic Monte Carlo simulations of globular protein folding/unfolding pathways. II. Alpha-helical motifs

Dynamic Monte Carlo simulations of the folding pathways of alpha-helical protein motifs have been undertaken in the context of a diamond lattice model of globular proteins. The first question addressed in the nature of the assembly process of an alpha-helical hairpin. While the hairpin could, in principle, be formed via the diffusion-collision-adhesion of isolated performed helices, this is not the dominant mechanism of assembly found in the simulations. Rather, the helices that form native hairpins are constructed on-site, with folding initiating at or near the turn in almost all cases. Next, the folding/unfolding pathways of four-helix bundles having tight bends and one and two long loops in the native state are explored. Once again, an on-site construction mechanism of folding obtains, with a hairpin forming first, followed by the formation of a three-helix bundle, and finally the fourth helix of the native bundle assembles. Unfolding is essentially the reverse of folding. A simplified analytic theory is developed that reproduces the equilibrium folding transitions obtained from the simulations remarkably well and, for the dominant folding pathway, correctly identifies the intermediates seen in the simulations. The analytic theory provides the free energy along the reaction co-ordinate and identifies the transition state for all three motifs as being quite close to the native state, with three of the four helices assembled, and approximately one turn of the fourth helix in place. The transition state is separated from the native conformation by a free-energy barrier of mainly energetic origin and from the denatured state by a barrier of mainly entropic origin. The general features of the folding pathway seen in all variants of the model four-helix bundles are similar to those observed in the folding of beta-barrel, Greek key proteins; this suggests that many of the qualitative aspects of folding are invariant to the particular native state topology and secondary structure.     

Equilibrium and kinetic folding pathways of a TIM barrel with a funneled energy landscape

The role of native contact topology in the folding of a TIM barrel model based on the alpha-subunit of tryptophan synthase (alphaTS) from Salmonella typhimurium (Protein Data Bank structure 1BKS) was studied using both equilibrium and kinetic simulations. Equilibrium simulations of alphaTS reveal the population of two intermediate ensembles, I1 and I2, during unfolding/refolding at the folding temperature, Tf = 335 K. Equilibrium intermediate I1 demonstrates discrete structure in regions alpha0-beta6 whereas intermediate I2 is a loose ensemble of states with N-terminal structure varying from at least beta1-beta3 (denoted I2A) to alpha0-beta4 at most (denoted I2B). The structures of I1 and I2 match well with the two intermediate states detected in equilibrium folding experiments of Escherichia coli alphaTS. Kinetic folding simulations of alphaTS reveal the sequential population of four intermediate ensembles, I120Q, I200Q, I300Q, and I360Q, during refolding. Kinetic intermediates I120Q, I200Q, and I300Q are highly similar to equilibrium alphaTS intermediates I2A, I2B, and I1, respectively, consistent with kinetic experiments on alphaTS from E. coli. A small population (approximately 10%) of kinetic trajectories are trapped in the I120Q intermediate ensemble and require a slow and complete unfolding step to properly refold. Both the on-pathway and off-pathway I120Q intermediates show structure in beta1-beta3, which is also strikingly consistent with kinetic folding experiments of alphaTS. In the off-pathway intermediate I(120Q), helix alpha2 is wrapped in a nonnative chiral arrangement around strand beta3, sterically preventing the subsequent folding step between beta3 and beta4. These results demonstrate the success of combining kinetic and equilibrium simulations of minimalist protein models to explore TIM barrel folding and the folding of other large proteins.     

Equilibrium amide hydrogen exchange and protein folding kinetics

The classical Linderstrøm-Lang hydrogen exchange (HX) model is extended to describe the relationship between the HX behaviors (EX1 and EX2) and protein folding kinetics for the amide protons that can only exchange by global unfolding in a three-state system including native (N), intermediate (I), and unfolded (U) states. For these slowly exchanging amide protons, it is shown that the existence of an intermediate (I) has no effect on the HX behavior in an off-pathway three-state system (IUN). On the other hand, in an on-pathway three-state system (UIN), the existence of a stable folding intermediate has profound effect on the HX behavior. It is shown that fast refolding from the unfolded state to the stable intermediate state alone does not guarantee EX2 behavior. The rate of refolding from the intermediate state to the native state also plays a crucial role in determining whether EX1 or EX2 behavior should occur. This is mainly due to the fact that only amide protons in the native state are observed in the hydrogen exchange experiment. These new concepts suggest that caution needs to be taken if one tries to derive the kinetic events of protein folding from equilibrium hydrogen exchange experiments.     

An analysis of protein folding pathways

We have developed a model of the protein folding process based on three primary assumptions: that burying of hydrophobic area is the dominant contribution to the relative free energy of a conformation, that a record of the folding process is largely preserved in the final structure, and that the denatured state is a random coil. Detailed folding pathways are identified for 19 protein structures. The picture of the folding process that emerges from this analysis is one of nucleation by regions of 8-16 residues. Nucleation sites then lead to larger structures by two mechanisms: propagation and diffusion/collision. A Monte Carlo simulation is used to follow the folding pathway when propagation is the dominant mechanism. Because detailed pathways are derived for each protein, the models are susceptible to experimental verification.     

Prediction of protein folding pathways.

Recent 1H nuclear magnetic resonance (n.m.r.) hydrogen exchange experiments on five different proteins have delineated the secondary structures formed in trapped, partially folded intermediates. The early forming structural elements are identifiable through a technique described in this work to predict folding pathways. The method assumes that the sequential selection of structural fragments such as alpha-helices and beta-strands involved in the folding process is founded upon the maximal burial of solvent accessible surface from both the formation of internal structure and substructure association. The substructural elements were defined objectively by major changes in main-chain direction. The predicted folding pathways are in complete correspondence with the n.m.r. results in that the formed structural fragments found in the folding intermediates are those predicted earliest in the pathways. The technique was also applied to proteins of known tertiary structure and with fold similar to one of the five proteins examined by 1H n.m.r. The pathways for these structures also showed general consistency with the n.m.r. observations, suggesting conservation of a secondary structural framework or molten globule about which folding nucleates and proceeds.     

Methods for molecular dynamics simulations of protein folding/unfolding in solution

All atom molecular dynamics simulations have become a standard method for mapping equilibrium protein dynamics and non-equilibrium events like folding and unfolding. Here, we present detailed methods for performing such simulations. Generic protocols for minimization, solvation, simulation, and analysis derived from previous studies are also presented. As a measure of validation, our water model is compared with experiment. An example of current applications of these methods, simulations of the ultrafast folding protein Engrailed Homeodomain are presented including the experimental evidence used to verify their results. Ultrafast folders are an invaluable tool for studying protein behavior as folding and unfolding events measured by experiment occur on timescales accessible with the high-resolution molecular dynamics methods we describe. Finally, to demonstrate the prospect of these methods for folding proteins, a temperature quench simulation of a thermal unfolding intermediate of the Engrailed Homeodomain is described.     

Malleability of protein folding pathways: a simple reason for complex behaviour

Although the structures of native proteins are generally unique, the pathways by which they form are often free to vary. Some proteins fold by a multitude of different pathways, whereas others seem restricted to only one choice. An explanation for this variation in folding behaviour has recently emerged from studies of transition state changes: the number of accessible pathways is linked to the number of nucleation motifs contained within the native topology. We refer to these nucleation motifs as 'foldons', as they approach the size of an independent cooperative unit. Thus, with respect to pathway malleability and the composition of the folding funnel, proteins can be seen as modular assemblies of competing foldons. For the split beta-alpha-beta fold, these foldons are two-strand-helix motifs coupled by spatial overlap.     

Morphogenesis of a protein: folding pathways and the energy landscape

Current knowledge on the reaction whereby a protein acquires its native three-dimensional structure was obtained by and large through characterization of the folding mechanism of simple systems. Given the multiplicity of amino acid sequences and unique folds, it is not so easy, however, to draw general rules by comparing folding pathways of different proteins. In fact, quantitative comparison may be jeopardized not only because of the vast repertoire of sequences but also in view of a multiplicity of structures of the native and denatured states. We have tackled the problem of the relationships between the sequence information and the folding pathway of a protein, using a combination of kinetics, protein engineering and computational methods, applied to relatively simple systems. Our strategy has been to investigate the folding mechanism determinants using two complementary approaches, i.e. (i) the study of members of the same family characterized by a common fold, but substantial differences in amino acid sequence, or (ii) heteromorphic pairs characterized by largely identical sequences but with different folds. We discuss some recent data on protein-folding mechanisms by presenting experiments on different members of the PDZ domain family and their circularly permuted variants. Characterization of the energetics and structures of intermediates and TSs (transition states), obtained by Φ-value analysis and restrained MD (molecular dynamics) simulations, provides a glimpse of the malleability of the dynamic states and of the role of the topology of the native states and of the denatured states in dictating folding and misfolding pathways.     

Pathway of oxidative folding of alpha-lactalbumin: a model for illustrating the diversity of disulfide folding pathways

The pathway of oxidative folding of alpha-lactalbumin (alpha LA) (four disulfide bonds) has been characterized by structural and kinetic analysis of the acid-trapped folding intermediates. In the absence of calcium, oxidative folding of alpha LA proceeds through highly heterogeneous species of one-, two-, three-, and four-disulfide (scrambled) intermediates to reach the native structure. In the presence of calcium, the folding intermediates of alpha LA comprise two predominant isomers (alpha LA-IIA and alpha LA-IIIA) adopting exclusively native disulfide bonds, including the two disulfide bonds (Cys(61)-Cys(77) and Cys(73)-Cys(91)) located within the beta-sheet calcium binding domain. alpha LA-IIA is a two-disulfide species consisting of Cys(61)-Cys(77) and Cys(73)-Cys(91) disulfide bonds. alpha LA-IIIA contains Cys(61)-Cys(77), Cys(73)-Cys(91), and Cys(28)-Cys(111) disulfide bonds. The underlying mechanism of the contrasting folding pathways of calcium-bound and calcium-depleted alpha LA is congruent with the cause of diversity of disulfide folding pathways observed among many well-characterized three-disulfide proteins, including bovine pancreatic trypsin inhibitor and hirudin. Our study also reveals novel aspects of the folding mechanism of alpha LA that have not been described previously.     

Unfolding pathways of human serum albumin: evidence for sequential unfolding and folding of its three domains

Human serum albumin (HSA) contains three alpha-helical domains (I-III). The unfolding process of these domains was monitored using covalently bound fluorescence probes; domain I was monitored by N-(1-pyrene)maleimide (PM) conjugated with cys-34, domain II was monitored by the lone tryptophan residue and domain III was followed by p-nitrophenyl anthranilate (NPA) conjugated with Tyrosine-411 (Tyr-411). Using domain-specific probes, we found that guanidium hydrochloride-induced unfolding of HSA occurred sequentially. The unfolding of domain II preceded that of domain I and the unfolding of domain III followed that of domain I. In addition, the domains I and III refolded within the dead time of the fluorescence recovery experiment while the refolding of domain II occurred slowly. The results suggest that individual domain of a multi-domain protein can fold and unfold sequentially.