D/H amide kinetic isotope effects reveal when hydrogen bonds form during protein folding

We have exploited a procedure to identify when hydrogen bonds (H-bonds) form under two-state folding conditions using equilibrium and kinetic deuterium/hydrogen amide isotope effects. Deuteration decreases the stability of equine cytochrome c and the dimeric and crosslinked versions of the GCN4-p1 coiled coil by approximately 0. 5 kcal mol-1. For all three systems, the decrease in equilibrium stability is reflected by a decrease in refolding rates and a near equivalent increase in unfolding rates. This apportionment indicates that approximately 50% of the native H-bonds are formed in the transition state of these helical proteins. In contrast, an alpha/beta protein, mammalian ubiquitin, exhibits a small isotope effect only on unfolding rates, suggesting its folding pathway may be different. These four proteins recapitulate the general trend that approximately 50% of the surface buried in the native state is buried in the transition state, leading to the hypothesis that H-bond formation in the transition state is cooperative, with alpha-helical proteins forming a number of H-bonds proportional to the amount of surface buried in the transition state.     

Fundamental processes of protein folding: measuring the energetic balance between helix formation and hydrophobic interactions

Theories of protein folding often consider contributions from three fundamental elements: loops, hydrophobic interactions, and secondary structures. The pathway of protein folding, the rate of folding, and the final folded structure should be predictable if the energetic contributions to folding of these fundamental factors were properly understood. alphatalpha is a helix-turn-helix peptide that was developed by de novo design to provide a model system for the study of these important elements of protein folding. Hydrogen exchange experiments were performed on selectively 15N-labeled alphatalpha and used to calculate the stability of hydrogen bonds within the peptide. The resulting pattern of hydrogen bond stability was analyzed using a version of Lifson-Roig model that was extended to include a statistical parameter for tertiary interactions. This parameter, x, represents the additional statistical weight conferred upon a helical state by a tertiary contact. The hydrogen exchange data is most closely fit by the XHC model with an x parameter of 9.25. Thus the statistical weight of a hydrophobic tertiary contact is approximately 5.8x the statistical weight for helix formation by alanine. The value for the x parameter derived from this study should provide a basis for the understanding of the relationship between hydrophobic cluster formation and secondary structure formation during the early stages of protein folding.     

Kinetic isotope effects reveal the presence of significant secondary structure in the transition state for the folding of the N-terminal domain of L9

Our present understanding of the nature of the transition state for protein folding depends predominantly on studies where individual side-chain contributions are mapped out by mutational analysis (phi value analysis). This approach, although extremely powerful, does not in general provide direct information about the formation of backbone hydrogen bonds. Here, we report the results of amide H/D isotope effect studies that probe the development of hydrogen bonded interactions in the transition state for the folding of a small alpha-beta protein, the N-terminal domain of L9. Replacement of amide protons by deuterons in a solvent of constant isotopic composition destabilized the domain, decreasing both its T(m) and Delta G(0) of unfolding. The folding rate also decreased. The parameter Phi(H/D), defined as the ratio of the effect of isotopic substitution upon the activation free energy to the equilibrium free energy was determined to be 0.6 in a D(2)O background and 0.75 in a H(2)O background, indicating that significant intraprotein hydrogen bond interactions are developed in the transition state for the folding of NTL9. The value is in remarkably good agreement with more traditional measures of the position of the transition state, which report on the relative burial of surface area. The results provide a picture of a compact folding transition state containing significant secondary structure. Indirect analysis argues that the bulk of the kinetic isotope effect arises from the beta-sheet-rich region of the protein, and suggests that the development of intraprotein hydrogen bonds in this region plays a critical role in the folding of NTL9.     

The Role of Backbone Hydrogen Bonds in the Transition State for Protein Folding of a PDZ Domain

Backbone hydrogen bonds are important for the structure and stability of proteins. However, since conventional site-directed mutagenesis cannot be applied to perturb the backbone, the contribution of these hydrogen bonds in protein folding and stability has been assessed only for a very limited set of small proteins. We have here investigated effects of five amide-to-ester mutations in the backbone of a PDZ domain, a 90-residue globular protein domain, to probe the influence of hydrogen bonds in a β-sheet for folding and stability. The amide-to-ester mutation removes NH-mediated hydrogen bonds and destabilizes hydrogen bonds formed by the carbonyl oxygen. The overall stability of the PDZ domain generally decreased for all amide-to-ester mutants due to an increase in the unfolding rate constant. For this particular region of the PDZ domain, it is therefore clear that native hydrogen bonds are formed after crossing of the rate-limiting barrier for folding. Moreover, three of the five amide-to-ester mutants displayed an increase in the folding rate constant suggesting that the hydrogen bonds are involved in non-native interactions in the transition state for folding.     

Breaking non-native hydrophobic clusters is the rate-limiting step in the folding of an alanine-based peptide

The formation mechanism of an alanine-based peptide has been studied by all-atom molecular dynamics simulations with a recently developed all-atom point-charge force field and the Generalize Born continuum solvent model at an effective salt concentration of 0.2M. Thirty-two simulations were conducted. Each simulation was performed for 100 ns. A surprisingly complex folding process was observed. The development of the helical content can be divided into three phases with time constants of 0.06-0.08, 1.4-2.3, and 12-13 ns, respectively. Helices initiate extreme rapidly in the first phase similar to that estimated from explicit solvent simulations. Hydrophobic collapse also takes place in this phase. A folding intermediate state develops in the second phase and is unfolded to allow the peptide to reach the transition state in the third phase. The folding intermediate states are characterized by the two-turn short helices and the transition states are helix-turn-helix motifs-both of which are stabilized by hydrophobic clusters. The equilibrium helical content, calculated by both the main-chain Phi-Psi torsion angles and the main-chain hydrogen bonds, is 64-66%, which is in remarkable agreement with experiments. After corrected for the solvent viscosity effect, an extrapolated folding time of 16-20 ns is obtained that is in qualitative agreement with experiments. Contrary to the prevailing opinion, neither initiation nor growth of the helix is the rate-limiting step. Instead, the rate-limiting step for this peptide is breaking the non-native hydrophobic clusters in order to reach the transition state. The implication to the folding mechanisms of proteins is also discussed.     

Beta-sheet folding mechanisms from perturbation energetics

Amide backbone and sidechain mutagenesis data can be used in combination with kinetic and thermodynamic measurements to understand the energetic contributions of backbone hydrogen bonding and the hydrophobic effect to the acquisition of beta-sheet structure. For example, it has been revealed that loop 1 of the WW domain forms in the transition state, consistent with the emerging theme that reverse turn formation is rate limiting in beta-sheet folding. A distinct subset of WW domain residues principally influences thermodynamic stability by forming hydrogen bonds and hydrophobic interactions that stabilize the native state. Energetic data and sequence mining reveal that only a small subset of the molecular information contained in sequences or observed in high-resolution structures is required to generate folded functional beta-sheets, consistent with evolutionary robustness.     

A Simple Lattice Model That Captures Protein Folding,Aggregation and Amyloid Formation

The ability of many proteins to convert from their functional soluble state to amyloid fibrils can be attributed to inter-molecular beta strand formation. Such amyloid formation is associated with neurodegenerative disorders like Alzheimer''s and Parkinson''s. Molecular modelling can play a key role in providing insight into the factors that make proteins prone to fibril formation. However, fully atomistic models are computationally too expensive to capture the length and time scales associated with fibril formation. As the ability to form fibrils is the rule rather than the exception, much insight can be gained from the study of coarse-grained models that capture the key generic features associated with amyloid formation. Here we present a simple lattice model that can capture both protein folding and beta strand formation. Unlike standard lattice models, this model explicitly incorporates the formation of hydrogen bonds and the directionality of side chains. The simplicity of our model makes it computationally feasible to investigate the interplay between folding, amorphous aggregation and fibril formation, and maintains the capability of classic lattice models to simulate protein folding with high specificity. In our model, the folded proteins contain structures that resemble naturally occurring beta-sheets, with alternating polar and hydrophobic amino acids. Moreover, fibrils with intermolecular cross-beta strand conformations can be formed spontaneously out of multiple short hydrophobic peptide sequences. Both the formation of hydrogen bonds in folded structures and in fibrils is strongly dependent on the amino acid sequence, indicating that hydrogen-bonding interactions alone are not strong enough to initiate the formation of beta sheets. This result agrees with experimental observations that beta sheet and amyloid formation is strongly sequence dependent, with hydrophobic sequences being more prone to form such structures. Our model should open the way to a systematic study of the interplay between the factors that lead to amyloid formation.     

Essential dynamics of reversible peptide folding: memory-free conformational dynamics governed by internal hydrogen bonds

A principal component analysis has been applied on equilibrium simulations of a beta-heptapeptide that shows reversible folding in a methanol solution. The analysis shows that the configurational space contains only three dense sub-states. These states of relatively low free energy correspond to the "native" left-handed helix, a partly helical intermediate, and a hairpin-like structure. The collection of unfolded conformations form a relatively diffuse cloud with little substructure. Internal hydrogen-bonding energies were found to correlate well with the degree of folding. The native helical structure folds from the N terminus; the transition from the major folding intermediate to the native helical structure involves the formation of the two most C-terminal backbone hydrogen bonds. A four-state Markov model was found to describe transition frequencies between the conformational states within error limits, indicating that memory-effects are negligible beyond the nanosecond time-scale. The dominant native state fluctuations were found to be very similar to unfolding motions, suggesting that unfolding pathways can be inferred from fluctuations in the native state. The low-dimensional essential subspace, describing 69% of the collective atomic fluctuations, was found to converge at time-scales of the order of one nanosecond at all temperatures investigated, whereas folding/unfolding takes place at significantly longer time-scales, even above the melting temperature.     

Structural transformation of apocytochrome c induced by alternating copolymers of maleic acid and alkene

Apocytochrome c interacts with two copolymers: poly(isobutylene-alt-maleic acid) (PIMA) and poly(1-tetradecene-alt-maleic acid) (PTMA). The interaction leads to apocytochrome c, a conformational change from random coil to alpha-helical structure. The alpha-helix content is influenced by the copolymer concentration, the length of alkyl chain of the copolymers, and pH of the medium. The electrostatic attraction between the copolymer and protein is an indispensable factor for the folding of the protein at acid pH. The hydrophobic interaction is an important factor over the entire pH range, especially when both the copolymer and protein carry negative charges at alkaline pH. The electrostatic and hydrophobic attractions between the copolymer and protein exclude water molecules, promoting the formation of hydrogen bonds within the helical structure. On the other hand, the hydrogen bonds formed between the ionized carboxyl of the copolymer and the amide of the protein partly restrain the formation of hydrogen bonds within the helical structure when the copolymer concentration is higher at pH 6.5 and 10.5.     

A successful change of circumstance: a transition state for membrane protein folding

Knowledge of the transition state is key to understanding a reaction mechanism. This vital information has been lacking for integral membrane protein folding, but now recent advances have given insight into the structure of their folding transition state. This progress has arisen through the successful translation of a classical protein engineering method, ? value analysis, from water-soluble proteins to the hydrophobic, membrane-embedded protein class. This review covers the transition state for the folding of α helical membrane proteins. Helix formation in the transition state correlates with sequence position and the order of transmembrane insertion into the cell membrane, showing that in vitro measurements, in entirely different conditions to natural membranes, may reflect the cellular situation.     

Differential stabilization of two hydrophobic cores in the transition state of the villin 14T folding reaction

We report the distribution of hydrophobic core contacts during the folding reaction transition state for villin 14T, a small 126-residue protein domain. The solution structure of villin 14T contains a central beta-sheet with two flanking hydrophobic cores; transition states for this protein topology have not been previously studied. Villin 14T has no disulfide bonds or cis-proline residues in its native state; it folds reversibly, and in an apparently two-state manner under some conditions. To map the hydrophobic core contacts in the transition state, 27 point mutations were generated at positions spread throughout the two hydrophobic cores. After each point mutation, comparison of the change in folding kinetics with the equilibrium destabilization indicates whether the site of mutation is stabilized in the transition state. The results show that the folding nucleus, or the sub-region with the strongest transition state contacts, is located in one of the two hydrophobic cores (the predominantly aliphatic core). The other hydrophobic core, which is mostly aromatic, makes much weaker contacts in the transition state. This work is the first transition state mapping for a protein with multiple major hydrophobic cores in a single folding unit; the hydrophobic cores cannot be separated into individual folding subdomains. The stabilization of only one hydrophobic core in the transition state illustrates that hydrophobic core formation is not intrinsically capable of nucleating folding, but must also involve the right specific interactions or topological factors in order to be kinetically important.     

Stable submolecular folding units in a non-compact form of cytochrome c.

Studies of structure, dynamics, and stability of cytochrome c (cyt c) at low pH in a non-compact pre-molten globule state indicate that the protein contains submolecular folding units that are independently stable. In high salt, acid cyt c (pD 2.2; where D is deuterium) is nearly as compact as the native form. Nuclear magnetic resonance (n.m.r.) line broadening typical of the molten globule form is seen, indicating loosened packing and increased mobility not only for side-chains but also for the main chain. As NaCl concentration is decreased below 0.05 M, cyt c expands due to the deshielding of electrostatic repulsions, attaining a linear extent perhaps double that of the native protein (viscosity, fluorescence). In the extended form, tertiary structural hydrogen bonds are largely broken (hydrogen exchange rate), some normally buried parts of the protein are exposed to water (fluorescence), and many of the native side-chain contacts must be lost. Nevertheless, almost all of the helical content is retained (circular dichroism). The helices involve the same amino acid residues that are helical in the native state (hydrogen exchange labeling monitored by 2-dimensional n.m.r.). The equilibrium constant for helix formation at 20 degrees C (0.02 M-NaCl, pD 2.2) is about 10 (hydrogen exchange rate), even though the individual helical segments when isolated have little or no structure. Additional experiments were done to check assumptions and calibrate parameters that underlie the hydrogen exchange analysis of protein folding. These results indicate that the native-like helical segments in the expanded non-globular form of cyt c exist as part of somewhat larger submolecular folding units that possess significant equilibrium stability. Results from equilibrium and kinetic studies of protein folding support the generality of this conclusion. This view is contrary to the two-state paradigm for equilibrium folding and inconsistent with the idea that side-chain packing constraints determine folding motifs. The result suggests an extension of the thermodynamic hypothesis for protein structure to kinetic folding processes, so that the amino acid code for equilibrium and kinetic folding may be the same, and also seems pertinent to the biological evolution of contemporary protein structures.     

Protein folding kinetics beyond the phi value: using multiple amino acid substitutions to investigate the structure of the SH3 domain folding transition state

The SH3 domain folding transition state structure contains two well-ordered turn regions, known as the diverging turn and the distal loop. In the Src SH3 domain transition state, these regions are stabilized by a hydrogen bond between Glu30 in the diverging turn and Ser47 in the distal loop. We have examined the effects on folding kinetics of amino acid substitutions at the homologous positions (Glu24 and Ser41) in the Fyn SH3 domain. In contrast to most other folding kinetics studies which have focused primarily on non-disruptive substitutions with Ala or Gly, here we have examined the effects of substitutions with diverse amino acid residues. Using this approach, we demonstrate that the transition state structure is generally tolerant to amino acid substitutions. We also uncover a unique role for Ser at position 41 in facilitating folding of the distal loop, which can only be replicated by Asp at the same position. Both these residues appear to accelerate folding through the formation of short-range side-chain to backbone hydrogen bonds. The folding of the diverging turn region is shown to be driven primarily by local interactions. The diverging turn and distal loop regions are found to interact in the transition state structure, but only in the context of particular mutant backgrounds. This work demonstrates that studying the effects of a variety of amino acid substitutions on protein folding kinetics can provide unique insights into folding mechanisms which cannot be obtained by standard Phi value analysis.     

Side chain burial and hydrophobic core packing in protein folding transition states

A critical step in the folding pathway of globular proteins is the formation of a tightly packed hydrophobic core. Several mutational studies have addressed the question of whether tight packing interactions are present during the rate-limiting step of folding. In some of these investigations, substituted side chains have been assumed to form native-like interactions in the transition state when the folding rates of mutant proteins correlate with their native-state stabilities. Alternatively, it has been argued that side chains participate in nonspecific hydrophobic collapse when the folding rates of mutant proteins correlate with side-chain hydrophobicity. In a reanalysis of published data, we have found that folding rates often correlate similarly well, or poorly, with both native-state stability and side-chain hydrophobicity, and it is therefore not possible to select an appropriate transition state model based on these one-parameter correlations. We show that this ambiguity can be resolved using a two-parameter model in which side chain burial and the formation of all other native-like interactions can occur asynchronously. Notably, the model agrees well with experimental data, even for positions where the one-parameter correlations are poor. We find that many side chains experience a previously unrecognized type of transition state environment in which specific, native-like interactions are formed, but hydrophobic burial dominates. Implications of these results to the design and analysis of protein folding studies are discussed.     

Effects of Turn Stability and Side-Chain Hydrophobicity on the Folding of β-Structures

Key elements of β-structure folding include hydrophobic core collapse, turn formation, and assembly of backbone hydrogen bonds. In the present folding simulations of several β-hairpins and β-sheets (peptide 1, protein G B1 domain peptide, TRPZIP2, TRPZIP4, 20mer, and 20mer^DP6D), the folding free-energy landscape as a function of several reaction coordinates corresponding to the three key elements indicates apparent dependence on turn stability and side-chain hydrophobicity, which demonstrates different folding mechanisms of similar β-structures of varied sequences. Turn stability is found to be the key factor in determining the formation order of the three structural elements in the folding of β-structures. Moreover, turn stability and side-chain hydrophobicity both affect the stability of backbone hydrogen bonds. The three-stranded β-sheets fold through a three-state transition in which the formation of one hairpin always takes precedence over the other. The different stabilities of two anti-parallel hairpins in each three-stranded β-sheet are shown to correlate well with the different levels of their hydrophobic interactions.     

Nonadditivity in conformational entropy upon molecular rigidification reveals a universal mechanism affecting folding cooperativity

Previously, we employed a Maxwell counting distance constraint model (McDCM) to describe α-helix formation in polypeptides. Unlike classical helix-coil transition theories, the folding mechanism derives from nonadditivity in conformational entropy caused by rigidification of molecular structure as intramolecular cross-linking interactions form along the backbone. For example, when a hydrogen bond forms within a flexible region, both energy and conformational entropy decrease. However, no conformational entropy is lost when the region is already rigid because atomic motions are not constrained further. Unlike classical zipper models, the same mechanism also describes a coil-to-β-hairpin transition. Special topological features of the helix and hairpin structures allow the McDCM to be solved exactly. Taking full advantage of the fact that Maxwell constraint counting is a mean field approximation applied to the distribution of cross-linking interactions, we present an exact transfer matrix method that does not require any special topological feature. Upon application of the model to proteins, cooperativity within the folding transition is yet again appropriately described. Notwithstanding other contributing factors such as the hydrophobic effect, this simple model identifies a universal mechanism for cooperativity within polypeptide and protein-folding transitions, and it elucidates scaling laws describing hydrogen-bond patterns observed in secondary structure. In particular, the native state should have roughly twice as many constraints as there are degrees of freedom in the coil state to ensure high fidelity in two-state folding cooperativity, which is empirically observed.     

Ultrafast folding and molecular dynamics of a linear hydrophobic β-hairpin

The first computational study of the folding and dynamics of a hydrophobic β-hairpin containing a central heterochiral diproline segment is reported. Linear hydrophobic sequences containing centrally positioned diproline motifs, heterochiral (DL/LD) and homochiral (LL/DD)), are investigated for their ability to form β-hairpins. Heterochiral diproline motifs (LD/DL) reveal the formation of stable β-hairpins with the backbone adopting β-turn conformation and the formation of backbone hydrogen bonds with antiparallel cross-strand registry, whereas the homochiral diproline (LL/DD) containing sequences tend to adopt PP_II helix conformation. The competition between the β-turn formation and the backbone H-bond ladder of the antiparallel β-strands in heterochiral diproline containing sequences is employed to validate the hypothesis that β-turn formation precedes inter-strand registry in the folding of a β-hairpin (“zipper” mechanism). The observation of noncanonical hydrogen bonds leads to a folded β-hairpin-like conformation and points to the existence of relatively stable transition state intermediates, between the unfolded (extended) and folded (β-hairpin) states. The MD simulations are in excellent agreement with the experimental studies on the model system and constitute the very first computational investigation of the folding and dynamics of a completely hydrophobic synthetic β-hairpin containing heterogeneous residues of mixed chirality.     

Modulation of contact order effects in the two-state folding of stefins A and B

It is well established that contact order and folding rates are correlated for small proteins. The folding rates of stefins A and B differ by nearly two orders of magnitude despite sharing an identical native fold and hence contact order. We break down the determinants of this behavior and demonstrate that the modulation of contact order effects can be accounted for by the combined contributions of a framework-like mechanism, characterized by intrinsic helix stabilities, together with nonnative helical backbone conformation and nonnative hydrophobic interactions within the folding transition state. These contributions result in the formation of nonnative interactions in the transition state as evidenced by the opposing effects on folding rate and stability of these proteins.     

Stepwise formation of alpha-helices during cytochrome c folding

Two models have been proposed to describe the folding pathways of proteins. The framework model assumes the initial formation of the secondary structures whereas the hydrophobic collapse model supposes their formation after the collapse of backbone structures. To differentiate between these models for real proteins, we have developed a novel CD spectrometer that enables us to observe the submillisecond time frame of protein folding and have characterized the timing of secondary structure formation in the folding process of cytochrome c (cyt c). We found that approximately 20% of the native helical content was organized in the first phase of folding, which is completed within milliseconds. Furthermore, we suggest the presence of a second intermediate, which has alpha-helical content resembling that of the molten globule state. Our results indicate that many of the alpha-helices are organized after collapse in the folding mechanism of cyt c.