Structural dynamics, stability and folding of proteins

The present concepts of protein folding in vitro are reviewed. According to these concepts, amino acid sequence of protein, which has appeared a result of evolutionary selection, determines the native structure of protein, the pathway of protein folding, and the existence of free energy barrier between native and denatured states of protein. The latter means that protein macromolecule can exist in either native or denatured state. And all macromolecules in the native state are identical but for structural fluctuations due to Brownian motion of their atoms. Identity of all molecules in native state is of primary importance for their correct functioning. The dependence of protein stability, which is measured as the difference between free energy of protein in native and denatured states, on temperature and denaturant concentration is discussed. The modern approaches characterizing transition state and nucleation are regarded. The role of intermediate and misfolded states in amorphous aggregate and amyloid fibril formation is discussed.     

Thermodynamic characterization of cytochrome c at low pH. Observation of the molten globule state and of the cold denaturation process.

Several reports have pointed out the existence of intermediate states (both kinetic and equilibrium intermediate) between the native and the denatured states. The molten globule state, a compact intermediate state in which the secondary structure is formed but the tertiary structure fluctuates considerably, is currently being studied intensively because of its possible implication in the folding process of several proteins. We have examined the thermal stability of horse cytochrome c at low pH between 2.0 and 3.2 and different potassium chloride concentrations by absorbance of the Soret band, far and near-ultraviolet circular dichroism (u.v. c.d.) and tryptophan fluorescence using a multidimensional spectrophotometer. The concentration of potassium chloride ranged from 0 M to 0.5 M. The experimental thermal denaturation curves show that: (1) the helical content of cytochrome c remains stable at higher temperature when the concentration of salt is increased; whereas (2) the extent of ordering of the tertiary structure is weakly dependent on salt concentration; and (3) for cytochrome c, the stabilization of the molten globule state is induced by the binding of anions. Other salts such as NaCl, LiCl, potassium ferricyanide (K3Fe(CN)6) and Na2SO4 may also be used to stabilize the molten globule state. The thermodynamic analysis of the denaturation curves of c.d. at 222 nm and c.d. at 282 nm shows that, whereas a two-state (native and denatured) transition is observed at low-salt concentration, the far and near-u.v. c.d. melting curves of cytochrome c do not coincide with each other at high-salt concentration, and a minimum of three different thermodynamic states (IIb, intermediate or IIc, and denatured) is necessary to achieve a sufficient analysis. The intermediate state (called IIc) is attributed to the molten globule state because of its high secondary structure content and the absence of tertiary structure. Therefore, at low pH, cytochrome c is present in at least four states (native, IIb, IIc and denatured) depending on the salt concentration and temperature. The thermodynamic parameters, i.e. the Gibbs free energy differences (delta G), the enthalpy differences (delta H), the midpoint temperatures (Tm) of the transition (IIb in equilibrium intermediate (IIc in equilibrium denatured) are determined. We also give estimates of the heat capacity differences (delta Cp) from the temperature dependence of the enthalpy differences. The enthalpy change and the heat capacity difference of the IIc in equilibrium denatured transition are non-zero. The number of charges (protons or chloride anions) released upon transitions are determined by analysing the pH and chloride anion concentration dependence of the Gibbs free energy.(ABSTRACT TRUNCATED AT 400 WORDS)     

Comparing the folding and misfolding energy landscapes of phosphoglycerate kinase

Partitioning of polypeptides between protein folding and amyloid formation is of outstanding pathophysiological importance. Using yeast phosphoglycerate kinase as model, here we identify the features of the energy landscape that decide the fate of the protein: folding or amyloidogenesis. Structure formation was initiated from the acid-unfolded state, and monitored by fluorescence from 10 ms to 20 days. Solvent conditions were gradually shifted between folding and amyloidogenesis, and the properties of the energy landscape governing structure formation were reconstructed. A gradual transition of the energy landscape between folding and amyloid formation was observed. In the early steps of both folding and misfolding, the protein searches through a hierarchically structured energy landscape to form a molten globule in a few seconds. Depending on the conditions, this intermediate either folds to the native state in a few minutes, or forms amyloid fibers in several days. As conditions are changed from folding to misfolding, the barrier separating the molten globule and native states increases, although the barrier to the amyloid does not change. In the meantime, the native state also becomes more unstable and the amyloid more stable. We conclude that the lower region of the energy landscape determines the final protein structure.     

Mechanisms of the multiphasic kinetics in the folding and unfolding of globular proteins

The multiphasic kinetics of the protein folding and unfolding processes are examined for a “cluster model” with only two thermodynamically stable macroscopic states, native (N) and denatured (D), which are essentially distributions of microscopic states. The simplest kinetic schemes consistent with the model are: N-(fast) → I-(slow) → D for unfolding and N ← (fast)-D₂ ← (slow)-D₁ for refolding. The fast phase during the unfolding process can be visualized as the redistribution of the native population N to I within its free energy valley. Then, this population crosses over the free energy barrier to the denatured state D in the slow phase. Therefore, the macrostate I is a kinetic intermediate which is not stable at equilibrium. For the refolding process, the initial equilibrium distribution of the denatured state D appears to be separated into D₁ and D₂ in the final condition because of the change in position of the free energy barrier. The fast refolding species D₂ is due to the “leak” from the broadly distributed D state, while the rest is the slow refolding species D₁, which must overpass the free energy barrier to reach N. At an early stage of the folding process the amino acid chain is considered to be composed of several locally ordered regions, which we call clusters, connected by random coil chain parts. Thus, the denatured state contains different sizes and distributions of clusters depending on the external condition. A later stage of the folding process is the association of smaller clusters. The native state is expressed by a maximum-size cluster with possible fluctuation sites reflecting this association. A general discussion is given of the correlation between the kinetics and thermodynamics of proteins from the overall shape of the free energy function. The cluster model provides a conceptual link between the folding kinetics and the structural patterns of globular proteins derived from the X-ray crystallographic data.     

Equilibrium unfolding of mutant apomyoglobins carrying substitutions of conserved nonfunctional residues with alanine

Protein aggregation or misfolding in the cell is connected with many genetic diseases and can result from substitutions in proteins. Substitutions can influence the protein stability and folding rates in both intermediate and native states. The equilibrium urea-induced unfolding was studied for mutant apomyoglobins carrying substitutions of the conserved nonfunctional residues Val10, Trp14, Ile111, Leu115, Met131, and Leu135 with Ala. Conformational transitions were monitored by intrinsic Trp fluorescence and far-UV circular dichroism. Free energy changes upon transition from the native to the intermediate state and from the intermediate to the unfolded state were determined. All substitutions considerably decreased the stability of native apomyoglobin, whereas the effect on the stability of the intermediate state was essentially smaller.     

Electrostatic interactions in the denatured state and in the transition state for protein folding: effects of denatured state interactions on the analysis of transition state structure

The development of electrostatic interactions during the folding of the N-terminal domain of the ribosomal protein L9 (NTL9) is investigated by pH-dependent rate equilibrium free energy relationships. We show that Asp8, among six acidic residues, is involved in non-native, electrostatic interactions with K12 in the transition state for folding as well as in the denatured state. The perturbed native state pK(a) of D8 (pK(a) = 3.0) appears to be maintained through non-native interactions in both the transition state and the denatured state. Mutational effects on the stability of the transition state for protein (un)folding are often analyzed in respect to change in ground states. Thus, the interpretation of transition state analysis critically depends on an understanding of mutational effects on both the native and denatured state. Increasing evidence for structurally biased denatured states under physiological conditions raises concerns about possible denatured state effects on folding studies. We show that the structural interpretation of transition state analysis can be altered dramatically by denatured state effects.     

Protein folding pathways and kinetics: molecular dynamics simulations of beta-strand motifs

The folding pathways and the kinetic properties for three different types of off-lattice four-strand antiparallel beta-strand protein models interacting via a hybrid Go-type potential have been investigated using discontinuous molecular dynamics simulations. The kinetic study of protein folding was conducted by temperature quenching from a denatured or random coil state to a native state. The progress parameters used in the kinetic study include the squared radius of gyration R(2)(g), the fraction of native contacts within the protein as a whole Q, and between specific strands Q(ab). In the time series of folding, the denatured proteins undergo a conformational change toward the native state. The model proteins exhibit a variety of kinetic folding pathways that include a fast-track folding pathway without passing through an intermediate and multiple pathways with trapping into more than one intermediate. The kinetic folding behavior of the beta-strand proteins strongly depends on the native-state geometry of the model proteins and the size of the bias gap g, an artificial measure of a model protein's preference for its native state.     

Oligomeric States along the Folding Pathways of β2-Microglobulin: Kinetics,Thermodynamics, and Structure

The transition of proteins from their soluble functional state to amyloid fibrils and aggregates is associated with the onset of several human diseases. Protein aggregation often requires some structural reshaping and the subsequent formation of intermolecular contacts. Therefore, the study of the conformation of excited protein states and their ability to form oligomers is of primary importance for understanding the molecular basis of amyloid fibril formation. Here, we investigated the oligomerization processes that occur along the folding of the amyloidogenic human protein β2-microglobulin. The combination of real-time two-dimensional NMR data with real-time small-angle X-ray scattering measurements allowed us to derive thermodynamic and kinetic information on protein oligomerization of different conformational states populated along the folding pathways. In particular, we could demonstrate that a long-lived folding intermediate (I-state) has a higher propensity to oligomerize compared to the native state. Our data agree well with a simple five-state kinetic model that involves only monomeric and dimeric species. The dimers have an elongated shape with the dimerization interface located at the apical side of β2-microglobulin close to Pro32, the residue that has a trans conformation in the I-state and a cis conformation in the native (N) state. Our experimental data suggest that partial unfolding in the apical half of the protein close to Pro32 leads to an excited state conformation with enhanced propensity for oligomerization. This excited state becomes more populated in the transient I-state due to the destabilization of the native conformation by the trans-Pro32 configuration.     

Equine lysozyme: the molecular basis of folding, self-assembly and innate amyloid toxicity

Calcium-binding equine lysozyme (EL) combines the structural and folding properties of c-type lysozymes and alpha-lactalbumins, connecting these two most studied subfamilies. The structural insight into its native and partially folded states is particularly illuminating in revealing the general principles of protein folding, amyloid formation and its inhibition. Among lysozymes EL forms one of the most stable molten globules and shows the most uncooperative refolding kinetics. Its partially-folded states serve as precursors for calcium-dependent self-assembly into ring-shaped and linear amyloids. The innate amyloid cytotoxicity of the ubiquitous lysozyme highlights the universality of this phenomenon and necessitates stringent measures for its prevention.     

Non-linear effects of temperature and urea on the thermodynamics and kinetics of folding and unfolding of hisactophilin

Extensive measurements and analysis of thermodynamic stability and kinetics of urea-induced unfolding and folding of hisactophilin are reported for 5-50 degrees C, at pH 6.7. Under these conditions hisactophilin has moderate thermodynamic stability, and equilibrium and kinetic data are well fit by a two-state transition between the native and the denatured states. Equilibrium and kinetic m values decrease with increasing temperature, and decrease with increasing denaturant concentration. The betaF values at different temperatures and urea concentrations are quite constant, however, at about 0.7. This suggests that the transition state for hisactophilin unfolding is native-like and changes little with changing solution conditions, consistent with a narrow free energy profile for the transition state. The activation enthalpy and entropy of unfolding are unusually low for hisactophilin, as is also the case for the corresponding equilibrium parameters. Conventional Arrhenius and Eyring plots for both folding and unfolding are markedly non-linear, but these plots become linear for constant DeltaG/T contours. The Gibbs free energy changes for structural changes in hisactophilin have a non-linear denaturant dependence that is comparable to non-linearities observed for many other proteins. These non-linearities can be fit for many proteins using a variation of the Tanford model, incorporating empirical quadratic denaturant dependencies for Gibbs free energies of transfer of amino acid constituents from water to urea, and changes in fractional solvent accessible surface area of protein constituents based on the known protein structures. Noteworthy exceptions that are not well fit include amyloidogenic proteins and large proteins, which may form intermediates. The model is easily implemented and should be widely applicable to analysis of urea-induced structural transitions in proteins.     

Understanding the Mechanism of Prosegment-catalyzed Folding by Solution NMR Spectroscopy

Multidomain protein folding is often more complex than a two-state process, which leads to the spontaneous folding of the native state. Pepsin, a zymogen-derived enzyme, without its prosegment (PS), is irreversibly denatured and folds to a thermodynamically stable, non-native conformation, termed refolded pepsin, which is separated from native pepsin by a large activation barrier. While it is known that PS binds refolded pepsin and catalyzes its conversion to the native form, little structural details are known regarding this conversion. In this study, solution NMR was used to elucidate the PS-catalyzed folding mechanism by examining the key equilibrium states, e.g. native and refolded pepsin, both in the free and PS-bound states, and pepsinogen, the zymogen form of pepsin. Refolded pepsin was found to be partially structured and lacked the correct domain-domain structure and active-site cleft formed in the native state. Analysis of chemical shift data revealed that upon PS binding refolded pepsin folds into a state more similar to that of pepsinogen than to native pepsin. Comparison of pepsin folding by wild-type and mutant PSs, including a double mutant PS, indicated that hydrophobic interactions between residues of prosegment and refolded pepsin lower the folding activation barrier. A mechanism is proposed for the binding of PS to refolded pepsin and how the formation of the native structure is mediated.     

Stability and folding kinetics of a ubiquitin mutant with a strong propensity for nonnative beta-hairpin conformation in the unfolded state

A F45W mutant of yeast ubiquitin has been used as a model system to examine the effects of nonnative local interactions on protein folding and stability. Mutating the native TLTGK G-bulged type I turn in the N-terminal beta-hairpin to NPDG stabilizes a nonnative beta-strand alignment in the isolated peptide fragment. However, NMR structural analysis of the native and mutant proteins shows that the NPDG mutant is forced to adopt the native beta-strand alignment and an unfavorable type I NPDG turn. The mutant is significantly less stable (approximately 9 kJ mol(-1)) and folds 30 times slower than the native sequence, demonstrating that local interactions can modulate protein stability and that attainment of a nativelike beta-hairpin conformation in the transition state ensemble is frustrated by the turn mutations. Surprising, alcoholic cosolvents [5-10% (v/v) TFE] are shown to accelerate the folding rate of the NPDG mutant. We conclude, backed-up by NMR data on the peptide fragments, that even though nonnative states in the denatured ensemble are highly populated and their stability further enhanced in the presence of cosolvents, the simultaneous increase in the proportion of nativelike secondary structure (hairpin or helix), in rapid equilibrium with nonnative states, is sufficient to accelerate the folding process. It is evident that modulating local interactions and increasing nonnative secondary structure propensities can change protein stability and folding kinetics. However, nonlocal contacts formed in the global cooperative folding event appear to determine structural specificity.     

Kinetic analysis of molecular dynamics simulations reveals changes in the denatured state and switch of folding pathways upon single-point mutation of a beta-sheet miniprotein

The effects of a single-point mutation on folding thermodynamics and kinetics are usually interpreted by focusing on the native structure and the transition state. Here, the entire conformational spaces of a 20-residue three-stranded antiparallel beta-sheet peptide (double hairpin) and of its single-point mutant W10V are sampled close to the melting temperature by equilibrium folding-unfolding molecular dynamics simulations for a total of 40 micros. The folded state as well as the most populated free energy basins in the denatured state are isolated by grouping conformations according to fast relaxation at equilibrium. Such kinetic analysis provides more detailed and useful information than a simple projection of the free energy. The W10V mutant has the same native structure as the wild type peptide, and similar folding rate and stability. In the denatured state, the N-terminal hairpin is about 20% more structured in W10V than the wild type mainly because of van der Waals interactions. Notably, the W10V mutation influences also the van der Waals energy at the transition state ensemble causing a shift in the ratio of fluxes between two different transition state regions on parallel folding pathways corresponding to nucleation at either of the two beta-hairpins. Previous experimental studies have focused on the effects of denaturant-dependent or temperature-dependent changes in the structure of the denatured state. The atomistic simulations show that a single-point mutation in the central strand of a beta-sheet peptide results in remarkable changes in the topography of the denatured state ensemble. These changes modulate the relative accessibility of parallel folding pathways because of kinetic partitioning of the denatured state. Therefore, the observed dependence of the folding process on the starting ensemble raises questions on the biological significance of in vitro folding studies under strongly denaturing conditions.     

Uncovering Specific Electrostatic Interactions in the Denatured States of Proteins

The stability and folding of proteins are modulated by energetically significant interactions in the denatured state that is in equilibrium with the native state. These interactions remain largely invisible to current experimental techniques, however, due to the sparse population and conformational heterogeneity of the denatured-state ensemble under folding conditions. Molecular dynamics simulations using physics-based force fields can in principle offer atomistic details of the denatured state. However, practical applications are plagued with the lack of rigorous means to validate microscopic information and deficiencies in force fields and solvent models. This study presents a method based on coupled titration and molecular dynamics sampling of the denatured state starting from the extended sequence under native conditions. The resulting denatured-state pK_as allow for the prediction of experimental observables such as pH- and mutation-induced stability changes. I show the capability and use of the method by investigating the electrostatic interactions in the denatured states of wild-type and K12M mutant of NTL9 protein. This study shows that the major errors in electrostatics can be identified by validating the titration properties of the fragment peptides derived from the sequence of the intact protein. Consistent with experimental evidence, our simulations show a significantly depressed pK_a for Asp⁸ in the denatured state of wild-type, which is due to a nonnative interaction between Asp⁸ and Lys¹². Interestingly, the simulation also shows a nonnative interaction between Asp⁸ and Glu⁴⁸ in the denatured state of the mutant. I believe the presented method is general and can be applied to extract and validate microscopic electrostatics of the entire folding energy landscape.     

Folding and stability of sweet protein single-chain monellin. An insight to protein engineering

Engineered single-chain monellin (SCM) proteins were constructed by recombinant technology without disrupting the topology and sweet activity of native protein. Data from 8-anilinonaphthalene-1-sulfonic acid fluorescence, size-exclusion chromatography, and heteronuclear NMR strongly suggest the presence of a folding intermediate at 1.5 m GdnHCl for SCM protein. The structural feature of the folding intermediate from NMR data reveals that the secondary structures became mostly unstable, and protein experiences a dynamic equilibrium between native and unfolded state. All backbone amide protons exchange within 10 min, which imply that no stable hydrogen bonds exist in the secondary structural regions in the folding intermediate. From equilibrium unfolding and mutagenesis studies, the unfolding transition midpoints of mutant proteins gradually shifted toward lower denaturant concentration, indicating stability reductions of mutant proteins. Our results suggest that stability and folding pathways of SCM proteins could be regulated by a combined study of spectroscopy and mutagenesis, and these studies will provide useful information for understanding the folding kinetics of novel engineered proteins.     

Domains in folding of model proteins.

By means of Monte Carlo simulation, we investigated the equilibrium between folded and unfolded states of lattice model proteins. The amino acid sequences were designed to have pronounced energy minimum target conformations of different length and shape. For short fully compact (36-mer) proteins, the all-or-none transition from the unfolded state to the native state was observed. This was not always the case for longer proteins. Among 12 designed sequences with the native structure of a fully compact 48-mer, a simple all-or-none transition was observed in only three cases. For the other nine sequences, three states of behavior-the native, denatured, and intermediate states-were found. The contiguous part of the native structure (domain) was conserved in the intermediate state, whereas the remaining part was completely unfolded and structureless. These parts melted separately from each other.     

Effect of the structure of the denatured state of lysozyme on the aggregation reaction at the early stages of folding from the reduced form

We previously demonstrated that the hydrophobic clusters present in hen lysozyme under denaturing conditions were disrupted by the mutation of Trp62 to Gly (W62G). In order to examine the effects of the structure of the denatured state of W62G lysozyme on folding, we analyzed the early events in the folding of reduced W62G lysozyme in detail. From the exchange measurements of disulfide bonds using the variants containing a pair of cysteine residues (1SS), it was found that the formation of disulfide bond in the W62G1SS lysozyme was not accompanied by a prominent interaction between amino acid residues, indicating that the disruption of the hydrophobic core led to the random folding at the early stages in the process of folding of the reduced lysozyme. On the other hand, analyses of the oxidative-renaturation of reduced W62G lysozymes, as well as measurements of the extent of aggregation of the reduced and carboxy amido methylated W62G lysozyme, indicated that the formation of an aggregate is more prominent in the reduced W62G lysozyme than in the reduced wild-type lysozyme. Moreover, a lag phase was detected in the oxidative-renaturation of reduced W62G lysozyme, as based on observations of the recovery of activity. The simulation of the folding process indicated that intermediates were present at the early stages in the folding of the reduced W62G lysozyme. These results suggest that the presence of the intermediates was derived from the random folding at the early stages in the folding process of reduced W62G lysozyme due to the disruption of the structure of the denatured state. Folding thus appears to have been kinetically delayed by these processes, which then led to the significant aggregation of reduced lysozyme. Moreover, from the analysis of amyloid aggregation of the reduced lysozymes, it was suggested that the disruption of the residual structure in denatured state by W62G mutation deterred the formation of the amyloid fibrils of lysozyme.     

Effect of Substitutions in Surface Amino Acid on Energy Profile of Apomyoglobin

Studies on the process of spontaneous protein folding into a unique native state are an important issue of molecular biology. Apomyoglobin from the sperm whale is a convenient model for these studies in vitro. Here, we present the results of equilibrium and kinetic experiments carried out in a study on the folding and unfolding of eight mutant apomyoglobin forms of with hydrophobic amino acid substitutions on the protein surface. Calculated values of apparent constants of folding/unfolding rates, as well as the data on equilibrium conformational transitions in the urea concentration range of 0–6 M at 11°C are given. Based on the obtained information on the kinetic properties of the studied proteins, a Φ-value analysis of the transition state has been performed and values of urea concentrations corresponding to the midpoint of the transition from the native to intermediate state have been determined for the given forms of mutant apomyoglobin. It has been found that a significant increase in the stability of the native state can be achieved by a small number of amino acid substitutions on the protein surface. It has been shown that the substitution of only one amino acid residue exclusively affects the height of the energy barrier that separates different states of apomyoglobin.     

Aromatic residues engineered into the beta-turn nucleation site of ubiquitin lead to a complex folding landscape, non-native side-chain interactions, and kinetic traps

The fast folding of small proteins is likely to be the product of evolutionary pressures that balance the search for native-like contacts in the transition state with the minimum number of stable non-native interactions that could lead to partially folded states prone to aggregation and amyloid formation. We have investigated the effects of non-native interactions on the folding landscape of yeast ubiquitin by introducing aromatic substitutions into the beta-turn region of the N-terminal beta-hairpin, using both the native G-bulged type I turn sequence (TXTGK) as well as an engineered 2:2 XNGK type I' turn sequence. The N-terminal beta-hairpin is a recognized folding nucleation site in ubiquitin. The folding kinetics for wt-Ub (TLTGK) and the type I' turn mutant (TNGK) reveal only a weakly populated intermediate, however, substitution with X = Phe or Trp in either context results in a high propensity to form a stable compact intermediate where the initial U-->I collapse is visible as a distinct kinetic phase. The introduction of Trp into either of the two host turn sequences results in either complex multiphase kinetics with the possibility of parallel folding pathways, or formation of a highly compact I-state stabilized by non-native interactions that must unfold before refolding. Sequence substitutions with aromatic residues within a localized beta-turn capable of forming non-native hydrophobic contacts in both the native state and partially folded states has the undesirable consequence that folding is frustrated by the formation of stable compact intermediates that evolutionary pressures at the sequence level may have largely eliminated.     

An NMR view of the folding process of a CheY mutant at the residue level

The folding of CheY mutant F14N/V83T was studied at 75 residues by NMR. Fluorescence, NMR, and sedimentation equilibrium studies at different urea and protein concentrations reveal that the urea-induced unfolding of this CheY mutant includes an on-pathway molten globule-like intermediate that can associate off-pathway. The populations of native and denatured forms have been quantified from a series of 15N-1H HSQC spectra recorded under increasing concentrations of urea. A thermodynamic analysis of these data provides a detailed picture of the mutant's unfolding at the residue level: (1) the transition from the native state to the molten globule-like intermediate is highly cooperative, and (2) the unfolding of this state is sequential and yields another intermediate showing a collapsed N-terminal domain and an unfolded C-terminal tail. This state presents a striking similarity to the kinetic transition state of the CheY folding pathway.