Abstract: Proline is unique among proteinogenic amino acids because a pyrrolidine ring links its amino group to its side chain. This heterocycle constrains the conformations of the main chain and thus templates particular secondary structures. Proline residues undergo posttranslational modification at the 4-position to yield 4-hydroxyproline, which is especially prevalent in collagen. Interest in characterizing the effects of this modification led to the use of 4-fluoroprolines to enhance inductive properties relative to the hydroxyl group of 4-hydroxyproline and to eliminate contributions from hydrogen bonding. The strong inductive effect of the fluoro group has three main consequences: enforcing a particular pucker upon the pyrrolidine ring, biasing the conformation of the preceding peptide bond, and accelerating cis–trans prolyl peptide bond isomerization. These subtle yet reliable modulations make 4-fluoroproline incorporation a complement to traditional genetic approaches for exploring structure–function relationships in peptides and proteins, as well as for endowing peptides and proteins with conformational stability.

Abstract: A fundamental question in protein folding is whether the coil to globule collapse transition occurs during the initial stages of folding (burst phase) or simultaneously with the protein folding transition. Single molecule fluorescence resonance energy transfer (FRET) and small-angle X-ray scattering (SAXS) experiments disagree on whether Protein L collapse transition occurs during the burst phase of folding. We study Protein L folding using a coarse-grained model and molecular dynamics simulations. The collapse transition in Protein L is found to be concomitant with the folding transition. In the burst phase of folding, we find that FRET experiments overestimate radius of gyration, Rg, of the protein due to the application of Gaussian polymer chain end-to-end distribution to extract Rg from the FRET efficiency. FRET experiments estimate ≈6 A decrease in Rg when the actual decrease is ≈3 A on guanidinium chloride denaturant dilution from 7.5 to 1 M, thereby suggesting pronounced compaction in the protein dimensions in the burst phase. The ≈3 A decrease is close to the statistical uncertainties of the Rg data measured from SAXS experiments, which suggest no compaction, leading to a disagreement with the FRET experiments. The transition-state ensemble (TSE) structures in Protein L folding are globular and extensive in agreement with the Ψ-analysis experiments. The results support the hypothesis that the TSE of single domain proteins depends on protein topology and is not stabilized by local interactions alone.

Abstract: Understanding protein folding mechanisms and their sequence dependence requires the determination of residue-specific apparent kinetic rate constants for the folding and unfolding reactions Conventional two-dimensional NMR, such as HSQC experiments, can provide residue-specific information for proteins However, folding is generally too fast for such experiments ZZ-exchange NMR spectroscopy allows determination of folding and unfolding rates on much faster time scales, yet even this regime is not fast enough for many protein folding reactions The application of high hydrostatic pressure slows folding by orders of magnitude due to positive activation volumes for the folding reaction We combined high pressure perturbation with ZZ-exchange spectroscopy on two autonomously folding protein domains derived from the ribosomal protein, L9 We obtained residue-specific apparent rates at 2500 bar for the N-terminal domain of L9 (NTL9), and rates at atmospheric pressure for a mutant of the C-terminal domain (CTL

Abstract: Intrinsically disordered proteins represent a large class of proteins that lack a well-defined three-dimensional structure in isolation but can undergo a disorder to order transition upon binding to their physiological ligands. Understanding the mechanism by which these proteins fold upon binding represents a challenge. Here we present a detailed mutational study of the kinetics of the binding reaction between the transactivation domain of the mixed-lineage leukemia protein, an intrinsically disordered protein, and the KIX domain, performed under different experimental conditions. The experimental data allow us to infer the mechanism of folding upon binding and to pinpoint the key interactions present in the transition state. Furthermore, we identify a peculiar malleability of the observed mechanism upon changes in reaction conditions. This finding, which is in opposition to the robustness typically observed in the folding of globular proteins, is discussed in the context of previous work on intrinsically...

Abstract: The folding nucleus (FN) is a cryptic element within protein primary structure that enables an efficient folding pathway and is the postulated heritable element in the evolution of protein architecture; however, almost nothing is known regarding how the FN structurally changes as complex protein architecture evolves from simpler peptide motifs. We report characterization of the FN of a designed purely symmetric β-trefoil protein by ϕ-value analysis. We compare the structure and folding properties of key foldable intermediates along the evolutionary trajectory of the β-trefoil. The results show structural acquisition of the FN during gene fusion events, incorporating novel turn structure created by gene fusion. Furthermore, the FN is adjusted by circular permutation in response to destabilizing functional mutation. FN plasticity by way of circular permutation is made possible by the intrinsic C3 cyclic symmetry of the β-trefoil architecture, identifying a possible selective advantage that helps explain the prevalence of cyclic structural symmetry in the proteome.

Abstract: The study of intermediates in the protein folding pathway provides a wealth of information about the energy landscape. The intermediates also frequently initiate pathogenic fibril formations. While observing the intermediates is difficult due to their transient nature, extreme conditions can partially unfold the proteins and provide a glimpse of the intermediate states. Here, we observe the high resolution structure of a hydrophobic core mutant of Ubiquitin at an extreme acidic pH by nuclear magnetic resonance (NMR) spectroscopy. In the structure, the native secondary and tertiary structure is conserved for a major part of the protein. However, a long loop between the beta strands β3 and β5 is partially unfolded. The altered structure is supported by fluorescence data and the difference in free energies between the native state and the intermediate is reflected in the denaturant induced melting curves. The unfolded region includes amino acids that are critical for interaction with cofactors as well as for assembly of poly-Ubiquitin chains. The structure at acidic pH resembles a late folding intermediate of Ubiquitin and indicates that upon stabilization of the protein's core, the long loop converges on the core in the final step of the folding process.

Abstract: α-Helical hairpin (two-helix bundle) is a structure motif composed of two interacting helices connected by a turn or a short loop. It is an important model for protein folding studies, filling the gap between isolated α-helix and larger all-α domains. Here, we present, for the first time, successful folding simulations of an α-helical hairpin. Our RSFF1 and RSFF2 force fields give very similar predicted structures of this αtα peptide, which is in good agreement with its NMR structure. Our simulations also give site-specific stability of α-helix formation in good agreement with amide hydrogen exchange experiments. Combining the folding free energy landscapes and analyses of structures sampled in five different ranges of the fraction of native contacts (Q), a folding mechanism of αtα is proposed. The most stable sites of Q9-E15 in helix-1 and E24-A30 in helix-2 close to the loop region act as the folding initiation sites. The formation of interhelix side-chain contacts also initiates near the loop region, b...

Abstract: Is the pathway of protein folding determined by the relative stability of folding intermediates, or by the relative height of the activation barriers leading to these intermediates? This is a fundamental question for resolving the Levinthal paradox, which stated that protein folding by a the 2-ms to 500-s time range are triphasic. Data support the sequential mechanism for SNase folding: U3 -> U2 U1 No, where U1, U2, and U3 are substates of the unfolded protein and No is the native state. Analysis of the relative population of the U1, U2, and U3 species in 2.0 M GdmCl gives AG values for the U3 -> U2 reaction of +0.1 kcal/mol and for the U2 U1 reaction of -0.49 kcal/mol. The AG value for the U1 No reaction is calculated to be -4.5 kcal/mol from DSC data. The activation energy, enthalpy, and entropy for each kinetic step are also determined. I'hese results allow us to make the following four conclusions. (i) Although the U1, U2, and U3 states are nearly isoenergetic, no random walk occurs among them during the folding. The pathway of folding is unique and sequential. In other words, the relative stability of the folding intermediates does not dictate the folding pathway. Instead, the folding is a descent toward the global free-energy mini- mum of the native state via the least activation path in the vast energy landscape. Barrier avoidance leads the way, and barrier height limits the rate. Thus, the Levinthal paradox is not applicable to the protein-folding problem. (ii) The main folding reaction (U1 -- No), in which the peptide chain acquires most of its free energy (via van der Waals' contacts, hydrogen bonding, and electrostatic interactions), is a highly concerted process. These energy-acquiring events take place in a single kinetic phase. (iii) U1 appears to be a compact unfolded species; the rate of conversion of U2 to U1 depends on the viscosity of solution. (iv) All four relaxation times reported here depend on GdmCl concentrations: it is likely that none involve the cis/trans isomerization of prolines. Finally, a mechanism is presented in which formation of sheet-like chain conformations and a hydrophobic condensation event precede the main-chain folding reaction.

Abstract: We study folding of Trp-cage miniprotein in the conditions when the native state of the protein is stable and unfolding events are improbable, which corresponds to physiological conditions. Using molecular dynamics simulations with an implicit solvent model, an ensemble of folding trajectories from unfolded (practically extended) states of the protein to the native state was generated. To get insight into the folding kinetics, the free energy surface and kinetic network projected on this surface were constructed. This, "conventional" analysis of the folding reaction was followed by a recently proposed hydrodynamic description of protein folding (Chekmarev et al. in Phys Rev Lett 100(1):018107, 2008), in which the process of the first-passage folding is viewed as a stationary flow of a folding "fluid" from the unfolded to native state. This approach is conceptually different from the previously used approaches and thus allows an alternative view of the folding dynamics and kinetics of Trp-cage, the conclusions about which are very diverse. In agreement with most previous studies, we observed two characteristic folding pathways: in one pathway (I), the collapse of the hydrophobic core precedes the formation of the [Formula: see text]-helix, and in the other pathway (II), these events occur in the reverse order. We found that although pathway II is complicated by a repeated partial protein unfolding, it contributes to the total folding flow as little as ≈10%, so that the folding kinetics remain essentially single-exponential.

Abstract: The ensemble of conformers of globular protein molecules immediately following transfer from unfolding to folding conditions is assumed to be collapsed though still disordered, as the first steps of the folding pathway are initiated. In order to test the hypothesis that long loop closure transitions are part of the initiation of the folding pathway, our groups are studying the initiation of the folding transition of a model protein by time-resolved excitation energy transfer (trFRET) detected fast kinetics experiments. Site-specific double labeling is used to study the timing of conformational transitions of individual loop forming chain segments at the microsecond time regime. Previously, it was shown that at least three long loops in the Escherichia coli adenylate kinase (AK) molecule close within the first 5 ms of folding of AK, while the main global folding transition occurs in a time regime of seconds. In order to enhance the time resolution of the kinetics experiments to the microsecond time regime and determine the rate of closure of the two N terminal loops (loop I residues 1-26 and loop II residues 29-72), we applied a continuous flow based double kinetics experiment. These measurements enabled us to obtain a microsecond series of transient time dependent distributions of distances between the ends of the labeled loops. Analysis of the trFRET experiments show that the N terminal loop (loop I) is closed within less than 60 μs after the initiation of refolding. Loop II is also mostly closed within that time step but shows an additional small reduction of the mean end-to-end distance in a second phase at a rate of 0.005 μs(-1). This second phase can either reflect tightening of a loosely closed loop in the ensemble of conformers or may reflect two subpopulations in the ensemble, which differ in the rate of closure of loop II, but not in the rate of closure of loop I. This study shows the very fast closure of long loops in the otherwise disordered backbone and fine details of the very early hidden pretransition state steps that are essential for the fast and efficient folding of the protein molecule.

Abstract: Nascent proteins fold co-translationally because the folding speed and folding pathways are limited by the rate of ribosome biosynthesis in the living cell. In addition, though full-length proteins can fold all their residues during the folding process, nascent proteins initially fold only with the N-terminal residues. However, the transient structure and the co-translational folding pathway are not well understood. Here we report the atomic structures of a series of N-terminal fragments of the WW domain with increasing amino acid length. Unexpectedly, the structures indicate that the intermediate-length fragments take helical conformations even though the full-length protein has no helical regions. The circular dichroism spectra and theoretical calculations also support the crystallographic results. This suggests that the short-range interactions are more decisive in the structure formation than the long-range interactions for short nascent proteins. In the course of the peptide extension, the helical structure change to the structure mediated by the long-range interactions at a particular polypeptide length. Our results will provide unique information for elucidating the nature of co-translational folding.

Abstract: Determining the energetics of the unfolded state of a protein is essential for understanding the folding mechanics of ordered proteins and the structure-function relation of intrinsically disordered proteins. Here, we adopt a coil-globule transition theory to develop a general scheme to extract interaction and free energy information from single-molecule fluorescence resonance energy transfer spectroscopy. By combining protein stability data, we have determined the free energy difference between the native state and the maximally collapsed denatured state in a number of systems, providing insight on the specific/nonspecific interactions in protein folding. Both the transfer and binding models of the denaturant effects are demonstrated to account for the revealed linear dependence of inter-residue interactions on the denaturant concentration, and are thus compatible under the coil-globule transition theory to further determine the dimension and free energy of the conformational ensemble of the unfolded state. The scaling behaviors and the effective θ-state are also discussed.

Abstract: Small proteins provide good model systems for studying the fundamental forces that control protein folding. Here, we investigate the folding dynamics of the 28-residue zinc-finger mutant FSD-1, which is designed to form a metal-independent folded ββα-motif, and which provides a testing ground for proteins containing a mixed α/β fold. Although the folding of FSD-1 has been actively studied, the folding mechanism remains largely unclear. In particular, it is unclear in what stage of folding the α-helix is formed. To address this issue we investigate the folding mechanism of FSD-1 using a combination of temperature-dependent UV circular dichroism (UV-CD), Fourier transform infrared (FTIR) spectroscopy, two-dimensional infrared (2D-IR) spectroscopy, and temperature-jump (T-jump) transient-IR spectroscopy. Our UV-CD and FTIR data show different thermal melting transitions, indicating multistate folding behavior. Temperature-dependent 2D-IR spectra indicate that the α-helix is the most stable structural element...

Abstract: The relationship between folding cooperativity and downhill, or barrier-free, folding of proteins under highly stabilizing conditions remains an unresolved topic, especially for proteins such as λ-repressor that fold on the microsecond timescale. Under aqueous conditions where downhill folding is most likely to occur, we measure the stability of multiple H bonds, using hydrogen exchange (HX) in a λYA variant that is suggested to be an incipient downhill folder having an extrapolated folding rate constant of 2 × 105 s−1 and a stability of 7.4 kcal·mol−1 at 298 K. At least one H bond on each of the three largest helices (α1, α3, and α4) breaks during a common unfolding event that reflects global denaturation. The use of HX enables us to both examine folding under highly stabilizing, native-like conditions and probe the pretransition state region for stable species without the need to initiate the folding reaction. The equivalence of the stability determined at zero and high denaturant indicates that any residual denatured state structure minimally affects the stability even under native conditions. Using our ψ analysis method along with mutational ϕ analysis, we find that the three aforementioned helices are all present in the folding transition state. Hence, the free energy surface has a sufficiently high barrier separating the denatured and native states that folding appears cooperative even under extremely stable and fast folding conditions.

Abstract: Protein folding thermodynamics can determine the contribution of protein fluctuation, which is difficult to detect but critical for protein function. We have analyzed the structural dynamic properties of the DNA-binding domain of a transcriptional activator, c-Myb R2R3. Earlier reports state that a substitution at the linker between R2 and R3 resulted in a significant loss of affinity toward the cognate DNA, mainly due to increased entropy in the DNA-unbound state. In this study, we analyzed the effects of the linker on folding stability and found that mutation of Pro140 to Gly or Ala resulted in decreased stability, due to an unfavorable enthalpy change that was only partially compensated by a favorable entropy change. Considering that the mutation would increase protein fluctuations in both the folded and unfolded states, we assume that the change in the folded state would be larger than in the unfolded state. This is perhaps due to the additional intramolecular interactions that only occur in the folded state. The increase in protein fluctuation in the folded state post-mutation was correlated with protein function, as reported previously.

Abstract: As they are not subjected to natural selection process, de novo designed proteins usually fold in a manner different from natural proteins. Recently, a de novo designed mini-protein DS119, with a βαβ motif and 36 amino acids, has folded unusually slowly in experiments, and transient dimers have been detected in the folding process. Here, by means of all-atom replica exchange molecular dynamics (REMD) simulations, several comparably stable intermediate states were observed on the folding free-energy landscape of DS119. Conventional molecular dynamics (CMD) simulations showed that when two unfolded DS119 proteins bound together, most binding sites of dimeric aggregates were located at the N-terminal segment, especially residues 5–10, which were supposed to form β-sheet with its own C-terminal segment. Furthermore, a large percentage of individual proteins in the dimeric aggregates adopted conformations similar to those in the intermediate states observed in REMD simulations. These results indicate that, during the folding process, DS119 can easily become trapped in intermediate states. Then, with diffusion, a transient dimer would be formed and stabilized with the binding interface located at N-terminals. This means that it could not quickly fold to the native structure. The complicated folding manner of DS119 implies the important influence of natural selection on protein-folding kinetics, and more improvement should be achieved in rational protein design.

Abstract: This chapter describes the mechanism of protein folding. The relationship between amino acid sequence and protein structure, demonstrated by spontaneous folding and reversible denaturation, establishes a logical connection between the one-dimensional world of genetic information in DNA and the three-dimensional world of biological structure. The study of the process of protein folding addresses the question of how a polypeptide sequence gets from the denatured to the native state. The chapter then discusses the basic principles of thermodynamics and kinetics, and their application to protein folding. It also examines chevron plots, looking at the effect of denaturants on rates of folding and unfolding. Moreover, the chapter considers the relationships among several general concepts that have emerged from investigations of protein folding. These include the molten globule and the folding funnel. Finally, the chapter studies the GroEL–GroES system, as well as protein engineering.

Abstract: A complex network approach to protein folding is proposed. The graph object is the network of shortcut edges present in a native-state protein (SCN0). Although SCN0s are found via an intuitive message passing algorithm (S. Milgram, Psychology Today, May 1967 pp. 61-67), they are meaningful enough that the logarithm form of their contact order (SCN0_lnCO) correlates significantly with protein kinetic rates, regardless of protein size. Further, the clustering coefficient of a SCN0 (CSCN0) can be used to combine protein segments iteratively within the Restricted Binary Collision model to form the whole native structure. This simple yet surprisingly effective strategy identified reasonable folding pathways for 12 small single-domain two-state folders, and three non-canonical proteins: ACBP (non-two-state), Top7 (non-cooperative) and DHFR (non-single-domain, > 100 residues). For two-state folders, CSCN0 is relatable to folding rates, transition-state placement and stability. The influence of CSCN0 on folding extends to non-native structures. Moreover, SCN analysis of non-native structures could suggest three fold success factors for the fast folding Villin headpiece peptide. These results support the view of protein folding as a bottom-up hierarchical process guided from above by native-state topology, and could facilitate future constructive demonstrations of this long held hypothesis for larger proteins.

Abstract: We measured the folding and unfolding ki- netics of mutants for a simple protein folding reaction to characterize the structure of the transition state. Fluores- cently labeled S-peptide analogues combine with S-protein to form ribonuclease S analogues: initially, S-peptide is disor- dered whereas S-protein is folded. The fluorescent probe provides a convenient spectroscopic probe for the reaction. The association rate constant, kon, and the dissociation rate constant, koff, were both determined for two sets of mutants. The dissociation rate constant is measured by adding an excess of unlabeled S-peptide analogue to a labeled complex (RNaseS*). This strategy allows k0on and koff to be measured under identical conditions so that microscopic reversibility applies and the transition state is the same for unfolding and refolding. The first set of mutants tests the role of the a-helix in the transition state. Solvent-exposed residues Ala-6 and Gln-ll in the a-helix of native RNaseS were replaced by the helix destabilizing residues glycine or proline. A plot of log kon vs. log Kd for this series of mutants is linear over a very wide range, with a slope of -0.3, indicating that almost all of the molecules fold via a transition state involving the helix. A second set of mutants tests the role of side chains in the transition state. Three side chains were investigated: Phe-8, His-12, and Met-13, which are known to be important for binding S-peptide to S-protein and which also contribute strongly to the stability of RNaseS*. Only the side chain of Phe-8 contributes significantly, however, to the stability of the transition state. The results provide a remarkably clear description of a folding transition state.

Abstract: Here we introduce an approach to mapping the folding transition state ensemble of proteins based on the pressure dependence of protein stability. Previously, we have shown that the activation volume for folding of wild type (WT) SNase is large and positive, and hence that the rate-limiting step in folding involves significant dehydration. In contrast, variants bearing buried ionizable residues at position 66 were shown recently to fold through a highly hydrated transition state ensemble (TSE). We present the effects on the pressure-jump folding kinetics of Lys substitutions in different internal positions throughout the structure. We calculate the <i>V</i><i>_i</i> value of the variants as the activation volume for folding relative to that of the wild type. We find that the structure of the SNase WT includes part of the β-barrel and part of the first α-helix. The unique advantage of <i>V</i><i>_i</i>-value analysis is that it conveys direct information about the state of hydration of the TSE, which has been recognized as a key factor in the protein folding transition.

Abstract: The folding of a pH-sensitive leucine zipper, that is, a GCN4 mutant containing eight glutamic acid residues, has been investigated. A pH-jump induced by a caged proton (<i>o</i>-nitrobenzaldehyde, oNBA) is employed to initiate the process, and time-resolved IR spectroscopy of the amide I band is used to probe it. The experiment has been carefully designed to minimize the buffer capacity of the sample solution so that a large pH jump can be achieved, leading to a transition from a completely unfolded to a completely folded state with a single laser shot. In order to eliminate the otherwise rate-limiting diffusion-controlled step of the association of two peptides, they have been covalently linked. The results for the folding kinetics of the cross-linked peptide are compared with those of an unlinked peptide, which reveals a detailed picture of the folding mechanism. That is, folding occurs in two steps, one on an ∼1–2 μs time scale leading to a partially folded α-helix even in the monomeric case and a second one leading to the final coiled-coil structure on distinctively different time scales of ∼30 μs for the cross-linked peptide and ∼200 μs for the unlinked peptide. By varying the initial pH, it is found that the folding mechanism is consistent with a thermodynamic two-state model, despite the fact that a transient intermediate is observed in the kinetic experiment.