A cis-prolyl peptide bond isomerization dominates the folding of the alpha subunit of Trp synthase,a TIM barrel protein

The cis/trans isomerization of prolyl peptide bonds has been suggested to dominate the folding of the alpha subunit of tryptophan synthase from Escherichia coli (alphaTS). To test the role of the unique cis isomer between Asp27 and Pro28, the folding properties of P28A, P28G and G(3)P28G, a three-glycine insertion mutant between Asp27 and Gly28, were investigated using urea as a denaturant. Circular dichroism analysis demonstrated that none of the mutations perturb the secondary structure significantly, although the aromatic side-chain packing is altered for P28A and P28G. All three mutant proteins inherited the three-state thermodynamic behavior observed in wild-type alphaTS, ensuring that the fundamental features of the energy surface are intact. Kinetic studies showed that neither alanine nor glycine substitutions at Pro28 results in the elimination of any slow-refolding phases. By contrast, the G(3)P28G mutant eliminates the fastest of the slow-refolding phases and one of the two unfolding phases. Double-jump experiments on G(3)P28G confirm the assignment of the missing refolding phase to the isomerization of the Asp27-Pro28 peptide bond. These results imply that the local stability conveyed by the tight, overlapping turns containing the cis peptide bond is sufficient to favor the cis isomer for several non-prolyl residues. The free energy required to drive the isomerization reaction is provided by the formation of the stable intermediate, demonstrating that the acquisition of structure and stability is required to induce subsequent rate-limiting steps in the folding of alphaTS.     

Proline replacements and the simplification of the complex,parallel channel folding mechanism for the alpha subunit of Trp synthase,a TIM barrel protein

The kinetic folding mechanism for the alpha subunit of tryptophan synthase (alphaTS) from Escherichia coli involves four parallel channels whose inter-conversions are controlled by three cis/trans prolyl isomerization reactions (tau(1), tau(2) and tau(3)). A previous mutational analysis of all 19 proline positions, including the unique cis Asp27-Pro28 peptide bond, revealed that the G(3)P28G, P78A or P96A mutations selectively eliminated the fast, tau(1) (ten seconds), folding phase, while the P217M and P261A mutations eliminated the medium, tau(2) (40 seconds) and the slow, tau(3) ( approximately 300 seconds) folding phases, respectively. To further elucidate the role of these proline residues and to simplify the folding mechanism, a series of double and triple mutants were constructed at these critical positions, and comprehensive kinetic and thermodynamic experiments were performed. Although it was not possible to construct a stable system that was free of proline isomerization constraints, a double mutant variant, G(3)P28G/P217M, in which the refolding of more than 90% of the unfolded protein is not limited by proline isomerization reactions was identified. Further, long-range interactions between several of these residues appear to be a crucial part of the cooperative network of structure that stabilizes the TIM barrel motif for alphaTS.     

Parallel channels and rate-limiting steps in complex protein folding reactions: prolyl isomerization and the alpha subunit of Trp synthase,a TIM barrel protein

A kinetic folding mechanism for the alpha subunit of tryptophan synthase (alphaTS) from Escherichia coli, involving four parallel channels with multiple native, intermediate and unfolded forms, has recently been proposed. The hypothesis that cis/trans isomerization of several Xaa-Pro peptide bonds is the source of the multiple folding channels was tested by measuring the sensitivity of the three rate-limiting phases (tau(1), tau(2), tau(3)) to catalysis by cyclophilin, a peptidyl-prolyl isomerase. Although the absence of catalysis for the tau(1) (fast) phase leaves its assignment ambiguous, our previous mutational analysis demonstrated its connection to the unique cis peptide bond preceding proline 28. The acceleration of the tau(2) (medium) and tau(3) (slow) refolding phases by cyclophilin demonstrated that cis/trans prolyl isomerization is also the source of these phases. A collection of proline mutants, which covered all of the remaining 18 trans proline residues of alphaTS, was constructed to obtain specific assignments for these phases. Almost all of the mutant proteins retained the complex equilibrium and kinetic folding properties of wild-type alphaTS; only the P217A, P217G and P261A mutations caused significant changes in the equilibrium free energy surface. Both the P78A and P96A mutations selectively eliminated the tau(1) folding phase, while the P217M and P261A mutations eliminated the tau(2) and tau(3) folding phases, respectively. The redundant assignment of the tau(1) phase to Pro28, Pro78 and Pro96 may reflect their mutual interactions in non-random structure in the unfolded state. The non-native cis isomers for Pro217 and Pro261 may destabilize an autonomous C-terminal folding unit, thereby giving rise to kinetically distinct unfolded forms. The nature of the preceding amino acid, the solvent exposure, or the participation in specific elements of secondary structure in the native state, in general, are not determinative of the proline residues whose isomerization reactions can limit folding.     

Probing minimal independent folding units in dihydrofolate reductase by molecular dissection.

Molecular dissection was employed to identify minimal independent folding units in dihydrofolate reductase (DHFR) from Escherichia coli. Eight overlapping fragments of DHFR, spanning the entire sequence and ranging in size from 36 to 123 amino acids, were constructed by chemical cleavage. These fragments were designed to examine the effect of tethering multiple elements of secondary structure on folding and to test if the secondary structural domains represent autonomous folding units. CD and fluorescence spectroscopy demonstrated that six fragments containing up to a total of seven alpha-helices or beta-strands and, in three cases, the adenine binding domain (residues 37-86), are largely disordered. A stoichiometric mixture of the two fragments comprising the large discontinuous domain, 1-36 and 87-159, also showed no evidence for folding beyond that observed for the isolated fragments. A fragment containing residues 1-107 appears to have secondary and tertiary structure; however, spontaneous self-association made it impossible to determine if this structure solely reflects the behavior of the monomeric form. In contrast, a monomeric fragment spanning residues 37-159 possesses significant secondary and tertiary structure. The urea-induced unfolding of fragment 37-159 in the presence of 0.5 M ammonium sulfate was found to be a well-defined, two-state process. The observation that fragment 37-159 can adopt a stable native fold with unique, aromatic side-chain packing is quite striking because residues 1-36 form an integral part of the structural core of the full-length protein.     

Different secondary structure elements as scaffolds for protein folding transition states of two homologous four-helix bundles

Comparison of the folding processes for homologue proteins can provide valuable information about details in the interactions leading to the formation of the folding transition state. Here the folding kinetics of 18 variants of yACBP and 3 variants of bACBP have been studied by Phi-value analysis. In combination with Phi-values from previous work, detailed insight into the transition states for folding of both yACBP and bACBP has been obtained. Of the 16 sequence positions that have been studied in both yACBP and bACBP, 5 (V12, I/L27, Y73, V77, and L80) have high Phi-values and appear to be important for the transition state formation in both homologues. Y31, A34, and A69 have high Phi-values only in yACBP, while F5, A9, and I74 have high Phi-values only in bACBP. Thus, additional interactions between helices A2 and A4 appear to be important for the transition state of yACBP, whereas additional interactions between helices A1 and A4 appear to be important for the transition state of bACBP. To examine whether these differences could be assigned to different packing of the residues in the native state, a solution structure of yACBP was determined by NMR. Small changes in the packing of the hydrophobic side-chains, which strengthen the interactions between helices A2 and A4, are observed in yACBP relative to bACBP. It is suggested that different structure elements serve as scaffolds for the folding of the 2 ACBP homologues.     

A hydrophobic cluster forms early in the folding of dihydrofolate reductase

The rapid kinetic phase that leads from unfolded species to transient folding intermediates in dihydrofolate reductase from Escherichia coli was examined by site-directed mutagenesis and by physicochemical means. The absence of this fluorescence-detected phase in the refolding of the Trp-74Phe mutant protein strongly implies that this early phase in refolding can be assigned to just one of the five Trp residues in the protein, Trp-74. In addition, water-soluble fluorescence quenching agents, iodide and cesium, have a much less significant effect on this early step in refolding than on the slower phases that lead to native and native-like conformers. These and other data imply that an important early event in the folding of dihydrofolate reductase is the formation of a hydrophobic cluster which protects Trp-74 from solvent.     

Correlation of folding kinetics with the number and isomerization states of prolines in three homologous proteins of the RNase family

Several studies attribute the slower phases in protein folding to prolyl isomerizations, and several others do not. A correlation exists between the number of prolines in a protein and the complexity of the mechanism with which it folds. In this study, we have demonstrated a direct correlation between the number of cis-prolyl bonds in a native protein and the complexity with which it folds via slower phases by studying the folding of three structurally homologous proteins of the ribonuclease family, namely RNase A, onconase and angiogenin, which differ in the number and isomerization states of their proline residues.     

Right‐ and left‐handed three‐helix proteins. I. Experimental and simulation analysis of differences in folding and structure

Despite the large number of publications on three‐helix protein folding, there is no study devoted to the influence of handedness on the rate of three‐helix protein folding. From the experimental studies, we make a conclusion that the left‐handed three‐helix proteins fold faster than the right‐handed ones. What may explain this difference? An important question arising in this paper is whether the modeling of protein folding can catch the difference between the protein folding rates of proteins with similar structures but with different folding mechanisms. To answer this question, the folding of eight three‐helix proteins (four right‐handed and four left‐handed), which are similar in size, was modeled using the Monte Carlo and dynamic programming methods. The studies allowed us to determine the orders of folding of the secondary‐structure elements in these domains and amino acid residues which are important for the folding. The obtained data are in good correlation with each other and with the experimental data. Structural analysis of these proteins demonstrated that the left‐handed domains have a lesser number of contacts per residue and a smaller radius of cross section than the right‐handed domains. This may be one of the explanations of the observed fact. The same tendency is observed for the large dataset consisting of 332 three‐helix proteins (238 right‐ and 94 left‐handed). From our analysis, we found that the left‐handed three‐helix proteins have some less‐dense packing that should result in faster folding for some proteins as compared to the case of right‐handed proteins.Proteins 2013; © 2013 Wiley Periodicals, Inc.     

Protein folding mechanisms and the multidimensional folding funnel

An important idea that emerges from the energy landscape theory of protein folding is that subtle global features of the protein landscape can profoundly affect the apparent mechanism of folding. The relationship between various characteristic temperatures in the phase diagrams and landmarks in the folding funnel at fixed temperatures can be used to classify different folding behaviors. The one-dimensional picture of a folding funnel classifies folding kinetics into four basic scenarios, depending on the relative location of the thermodynamic barrier and the glass transition as a function of a single-order parameter. However, the folding mechanism may not always be quantitatively described by a single-order parameter. Several other order parameters, such as degree of secondary structure formation, collapse and topological order, are needed to establish the connection between minimalist models and proteins in the laboratory. In this article we describe a simple multidimensional funnel based on two-order parameters that measure the degree of collapse and topological order. The appearance of several different “mechanisms” is illustrated by analyzing lattice models with different potentials and sequences with different degrees of design. In most cases, the two-dimensional analysis leads to a classification of mechanisms totally in keeping with the one-dimensional scheme, but a topologically distinct scenario of fast folding with traps also emerges. The nature of traps depends on the relative location of the glass transition surface and the thermodynamic barrier in the multidimensional funnel. Proteins 32:136–158, 1998. © 1998 Wiley-Liss, Inc.     

Early intermediates in the folding of dihydrofolate reductase from Escherichia coli detected by hydrogen exchange and NMR.

The kinetic folding mechanism for Escherichia coli dihydrofolate reductase postulates two distinct types of transient intermediates. The first forms within 5 ms and has substantial secondary structure but little stability. The second is a set of four species that appear over the course of several hundred milliseconds and have secondary structure, specific tertiary structure, and significant stability (Jennings PA, Finn BE, Jones BE, Matthews CR, 1993, Biochemistry 32:3783-3789). Pulse labeling hydrogen exchange experiments were performed to determine the specific amide hydrogens in alpha-helices and beta-strands that become protected from exchange through the formation of stable hydrogen bonds during this time period. A significant degree of protection was observed for two subsets of the amide hydrogens within the dead time of this experiment (6 ms). The side chains of one subset form a continuous nonpolar strip linking six of the eight strands in the beta-sheet. The other subset corresponds to a nonpolar cluster on the opposite face of the sheet and links three of the strands and two alpha-helices. Taken together, these data demonstrate that the complex strand topology of this eight-stranded sheet can be formed correctly within 6 ms. Measurement of the protection factors at three different folding times (13 ms, 141 ms, and 500 ms) indicates that, of the 13 amide hydrogens displaying significant protection within 6 ms, 8 exhibit an increase in their protection factors from approximately 5 to approximately 50 over this time range; the remaining five exhibit protection factors > 100 at 13 ms. Only approximately half of the population of molecules form this set of stable hydrogen bonds. Thirteen additional hydrogens in the beta-sheet become protected from exchange as the set of native conformers appear, suggesting that the stabilization of this network reflects the global cooperativity of the folding reaction.     

Direct correlation between proteins' folding rates and their amino acid compositions: an ab initio folding rate prediction

Discovering the mechanism of protein folding, in molecular biology, is a great challenge. A key step to this end is to find factors that correlate with protein folding rates. Over the past few years, many empirical parameters, such as contact order, long-range order, total contact distance, secondary structure contents, have been developed to reflect the correlation between folding rates and protein tertiary or secondary structures. However, the correlation between proteins' folding rates and their amino acid compositions has not been explored. In the present work, we examined systematically the correlation between proteins' folding rates and their amino acid compositions for two-state and multistate folders and found that different amino acids contributed differently to the folding progress. The relation between the amino acids' molecular weight and degeneracy and the folding rates was examined, and the role of hydrophobicity in the protein folding process was also inspected. As a consequence, a new indicator called composition index was derived, which takes no structure factors into account and is merely determined by the amino acid composition of a protein. Such an indicator is found to be highly correlated with the protein's folding rate (r > 0.7). From the results of this work, three points of concluding remarks are evident. (1) Two-state folders and multistate folders have different rate-determining amino acids. (2) The main determining information of a protein's folding rate is largely reflected in its amino acid composition. (3) Composition index may be the best predictor for an ab initio protein folding rate prediction directly from protein sequence from the standpoint of practical application.     

Peptide fragment studies on the folding elements of dihydrofolate reductase from Escherichia coli

One of the necessary conditions for a protein to be foldable is the presence of a complete set of “folding elements” (FEs) that are short, contiguous peptide segments distributed over an amino acid sequence. The FE‐assembly model of protein folding has been proposed, in which the FEs play a role in guiding structure formation through FE–FE interactions early in folding. However, two major issues remain to be clarified regarding the roles of the FEs in determining protein foldability. Are the FEs AFUs that can form nativelike structures in isolation? Is the presence of only the FEs without mutual connections a sufficient condition for a protein to be foldable? Here, we address these questions using peptide fragments corresponding to the FEs of DHFR from Escherichia coli. We show by CD measurement that the FE peptides are unfolded under the native conditions, and some of them have the propensities toward non‐native helices. MD simulations also show the non‐native helical propensities of the peptides, and the helix contents estimated from the simulations are well correlated with those estimated from the CD in TFE. Thus, the FEs of DHFR are not AFUs, suggesting the importance of the FEs in nonlocal interactions. We also show that equimolar mixtures of the FE peptides do not induce any structural formation. Therefore, mutual connections between the FEs, which should strengthen the nonlocal FE–FE interactions, are also one of the necessary conditions for a protein to be foldable. Proteins 2006. © 2005 Wiley‐Liss, Inc.     

Comparing the folding landscapes of evolutionarily divergent procaspase-3

All caspases evolved from a common ancestor and subsequently developed into two general classes, inflammatory or apoptotic caspases. The caspase-hemoglobinase fold has been conserved throughout nearly one billion years of evolution and is utilized for both the monomeric and dimeric subfamilies of apoptotic caspases, called initiator and effector caspases, respectively. We compared the folding and assembly of procaspase-3b from zebrafish to that of human effector procaspases in order to examine the conservation of the folding landscape. Urea-induced equilibrium folding/unfolding of procaspase-3b showed a minimum three-state folding pathway, where the native dimer isomerizes to a partially folded dimeric intermediate, which then unfolds. A partially folded monomeric intermediate observed in the folding landscape of human procaspase-3 is not well-populated in zebrafish procaspase-3b. By comparing effector caspases from different species, we show that the effector procaspase dimer undergoes a pH-dependent conformational change, and that the conformational species in the folding landscape exhibit similar free energies. Together, the data show that the landscape for the caspase-hemoglobinase fold is conserved, yet it provides flexibility for species-specific stabilization or destabilization of folding intermediates resulting in changes in stability. The common pH-dependent conformational change in the native dimer, which yields an enzymatically inactive species, may provide an additional, albeit reversible, mechanism for controlling caspase activity in the cell.     

Probing the interactions between the folding elements early in the folding of Escherichia coli dihydrofolate reductase by systematic sequence perturbation analysis

One of the necessary conditions for a protein to be foldable is the presence of a complete set of folding elements (FEs) that are short contiguous peptide segments distributed over an amino acid sequence. Previous studies indicated the FE assembly model of protein folding, in which the FEs interact with each other and coalesce to form an intermediate(s) early in the folding reaction. This suggests that a clue to the understanding of the determinants of protein foldability can be found by investigating how the FEs interact with each other early in the folding and thereby elucidating roles of the FEs in protein folding. To reveal the formation process of FE-FE interactions, we studied the early folding events of Escherichia coli dihydrofolate reductase (DHFR) utilizing systematic sequence perturbation analysis. Here, systematic single amino acid substitutions were introduced inside of the FEs (W30X in FE2, V40X in FE3, N59X in FE4, and I155X in FE10; X refers to various amino acid residues), and their kinetic refolding reactions were measured by stopped-flow circular dichroism and fluorescence. We show that the interactions around Trp30 and Ile155 are formed in the burst phase intermediate, while those around Val40 and Asn59 are formed in the transition state of the subsequent folding phase (tau5-phase) and in much later processes, respectively. These and previous results suggest that FE2 and FE10, and also FE1 and FE7, involved in the loop subdomain of DHFR, interact with each other within a millisecond time range, while the stable FE3-FE4 interactions are formed in the later processes. This may highlight the important roles of the FEs mainly inside of the loop subdomain in formation of the burst phase intermediate having a hydrophobic cluster and native-like overall topology and in acquisition of the foldability of DHFR.     

Conformational stability and folding mechanisms of dimeric proteins

The folding of multisubunit proteins is of tremendous biological significance since the large majority of proteins exist as protein-protein complexes. Extensive experimental and computational studies have provided fundamental insights into the principles of folding of small monomeric proteins. Recently, important advances have been made in extending folding studies to multisubunit proteins, in particular homodimeric proteins. This review summarizes the equilibrium and kinetic theory and models underlying the quantitative analysis of dimeric protein folding using chemical denaturation, as well as the experimental results that have been obtained. Although various principles identified for monomer folding also apply to the folding of dimeric proteins, the effects of subunit association can manifest in complex ways, and are frequently overlooked. Changes in molecularity typically give rise to very different overall folding behaviour than is observed for monomeric proteins. The results obtained for dimers have provided key insights pertinent to understanding biological assembly and regulation of multisubunit proteins. These advances have set the stage for future advances in folding involving protein-protein interactions for natural multisubunit proteins and unnatural assemblies involved in disease.     

Testing the relationship between foldability and the early folding events of dihydrofolate reductase from Escherichia coli

A "folding element" is a contiguous peptide segment crucial for a protein to be foldable and is a new concept that could assist in our understanding of the protein-folding problem. It is known that the presence of the complete set of folding elements of dihydrofolate reductase (DHFR) from Escherichia coli is essential for the protein to be foldable. Since almost all of the amino acid residues known to be involved in the early folding events of DHFR are located within the folding elements, a close relationship between the folding elements and early folding events is hypothesized. In order to test this hypothesis, we have investigated whether or not the early folding events are preserved in circular permutants and topological mutants of DHFR, in which the order of the folding elements is changed but the complete set of folding elements is present. The stopped-flow circular dichroism (CD) measurements show that the CD spectra at the early stages of folding are similar among the mutants and the wild-type DHFR, indicating that the presence of the complete set of folding elements is sufficient to preserve the early folding events. We have further examined whether or not sequence perturbation on the folding elements by a single amino acid substitution affects the early folding events of DHFR. The results show that the amino acid substitutions inside of the folding elements can affect the burst-phase CD spectra, whereas the substitutions outside do not. Taken together, these results indicate that the above hypothesis is true, suggesting a close relationship between the foldability of a protein and the early folding events. We propose that the folding elements interact with each other and coalesce to form a productive intermediate(s) early in the folding, and these early folding events are important for a protein to be foldable.     

Effects of the difference in the unfolded-state ensemble on the folding of Escherichia coli dihydrofolate reductase

The unfolded state of a protein is an ensemble of a large number of conformations ranging from fully extended to compact structures. To investigate the effects of the difference in the unfolded-state ensemble on protein folding, we have studied the structure, stability, and folding of "circular" dihydrofolate reductase (DHFR) from Escherichia coli in which the N and C-terminal regions are cross-linked by a disulfide bond, and compared the results with those of disulfide-reduced "linear" DHFR. Equilibrium studies by circular dichroism, difference absorption spectra, solution X-ray scattering, and size-exclusion chromatography show that whereas the native structures of both proteins are essentially the same, the unfolded state of circular DHFR adopts more compact conformations than the unfolded state of the linear form, even with the absence of secondary structure. Circular DHFR is more stable than linear DHFR, which may be due to the decrease in the conformational entropy of the unfolded state as a result of circularization. Kinetic refolding measurements by stopped-flow circular dichroism and fluorescence show that under the native conditions both proteins accumulate a burst-phase intermediate having the same structures and both fold by the same complex folding mechanism with the same folding rates. Thus, the effects of the difference in the unfolded state of circular and linear DHFRs on the refolding reaction are not observed after the formation of the intermediate. This suggests that for the proteins with close termini in the native structure, early compaction of a protein molecule to form a specific folding intermediate with the N and C-terminal regions in close proximity is a crucial event in folding. If there is an enhancement in the folding reflecting the reduction in the breadth of the unfolded-state ensemble for circular DHFR, this acceleration must occur in the sub-millisecond time-range.     

Structure of a partially unfolded form of Escherichia coli dihydrofolate reductase provides insight into its folding pathway

Proteins frequently fold via folding intermediates that correspond to local minima on the conformational energy landscape. Probing the structure of the partially unfolded forms in equilibrium under native conditions can provide insight into the properties of folding intermediates. To elucidate the structures of folding intermediates of Escherichia coli dihydrofolate reductase (DHFR), we investigated transient partial unfolding of DHFR under native conditions. We probed the structure of a high‐energy conformation susceptible to proteolysis (cleavable form) using native‐state proteolysis. The free energy for unfolding to the cleavable form is clearly less than that for global unfolding. The dependence of the free energy on urea concentration (m‐value) also confirmed that the cleavable form is a partially unfolded form. By assessing the effect of mutations on the stability of the partially unfolded form, we found that native contacts in a hydrophobic cluster formed by the F‐G and Met‐20 loops on one face of the central β‐sheet are mostly lost in the partially unfolded form. Also, the folded region of the partially unfolded form is likely to have some degree of structural heterogeneity. The structure of the partially unfolded form is fully consistent with spectroscopic properties of the near‐native kinetic intermediate observed in previous folding studies of DHFR. The findings suggest that the last step of the folding of DHFR involves organization in the structure of two large loops, the F‐G and Met‐20 loops, which is coupled with compaction of the rest of the protein.     

Conformational analysis of polypeptides and proteins for the study of protein folding, molecular recognition, and molecular design

Conformational energy calculations provide an understanding as to how interatomic interactions lead to the three-dimensional structures of polypeptides and proteins, and how these molecules interact with other molecules. Illustrative results of such calculations pertain to model systems (-helices and -sheets, and interactions between them), to various open-chain and cyclic peptides, to fibrous proteins, to globular proteins, and to enzyme-substrate complexes. In most cases, the validity of the computations is established by experimental tests of the predicted structures.This article was presented during the proceedings of the International Conference on Macromolecular Structure and Function, held at the National Defence Medical College, Tokorozawa, Japan, December 1985. This paper first appeared in the Israel Journal of Chemistry, Vol. 27, 1986.     

Multiple folding mechanisms of protein ubiquitin

Based on the C(alpha) Go-type model, the folding kinetics and mechanisms of protein ubiquitin with mixed alpha/beta topology are studied by molecular dynamics simulations. The relaxation kinetics shows that there are three phases, namely the major phase, the intermediate phase and the slowest minor phase. The existence of these three phases are relevant to the phenomenon found in experiments. According to our simulations, the folding at high temperatures around the folding transition temperature T(f) is of a two-state process, and the folding nucleus is consisted of contacts between the front end of alpha-helix and the turn(4). The folding at low temperature (approximately T = 0.8) is also studied, where an A-state like structure is found lying on the major folding pathway. The appearance of this structure is related to the stability of the first part (residue 1-51) of protein ubiquitin. As the temperature decreases, the formation of secondary structures, tertiary structures and collapse of the protein are found to be decoupled gradually and the folding mechanism changes from the nucleation-condensation to the diffusion-collision. This feature indicates a unifying common folding mechanism for proteins. The intermediate phase is also studied and is found to represent a folding process via a long-lived intermediate state which is stabilized by strong interactions between the beta(1) and the beta(5) strand. These strong interactions are important for the function of protein ubiquitin as a molecular chaperone. Thus the intermediate phase is assumed as a byproduct of the requirement of protein function. In addition, the validity of the current Go-model is also investigated, and a lower limited temperature for protein ubiquitin T(limit) = 0.8 is proposed. At temperatures higher than this value, the kinetic traps due to glass dynamics cannot be significantly populated and the intermediate states can be reliably identified although there is slight chevron rollover in the folding rates. At temperature lower than T(limit), however, the traps due to glass dynamics become dominant and may be mistaken for real intermediate states. This limitation of valid temperature range prevents us to reveal the burst phase intermediate in the major folding phase since it might only be stabilized at temperatures lower than T(limit), according to experiments. Our works show that caution must be taken when studying low-temperature intermediate states by using the C(alpha) Go-models.