Abstract: Identifying and understanding the differences between protein folding in bulk solution and in the cell is a crucial challenge facing biology. Using Langevin dynamics, we have simulated intact ribosomes containing five different nascent chains arrested at different stages of their synthesis such that each nascent chain can fold and unfold at or near the exit tunnel vestibule. We find that the native state is destabilized close to the ribosome surface due to an increase in unfolded state entropy and a decrease in native state entropy; the former arises because the unfolded ensemble tends to behave as an expanded random coil near the ribosome and a semicompact globule in bulk solution. In addition, the unfolded ensemble of the nascent chain adopts a highly anisotropic shape near the ribosome surface and the cooperativity of the folding-unfolding transition is decreased due to the appearance of partially folded structures that are not populated in bulk solution. The results show, in light of these effects, that with increasing nascent chain length folding rates increase in a linear manner and unfolding rates decrease, with larger and topologically more complex folds being the most highly perturbed by the ribosome. Analysis of folding trajectories, initiated by temperature quench, reveals the transition state ensemble is driven toward compaction and greater native-like structure by interactions with the ribosome surface and exit vestibule. Furthermore, the diversity of folding pathways decreases and the probability increases of initiating folding via the N-terminus on the ribosome. We show that all of these findings are equally applicable to the situation in which protein folding occurs during continuous (non-arrested) translation provided that the time scales of folding and unfolding are much faster than the time scale of monomer addition to the growing nascent chain, which results in a quasi-equilibrium process. These substantial ribosome-induced perturbations to almost all aspects of protein folding indicate that folding scenarios that are distinct from those of bulk solution can occur on the ribosome.

Abstract: Protein folding kinetics are often measured by monitoring the change of a single spectroscopic signal, such as the fluorescence of an intrinsic fluorophore or the absorbance at a single frequency within an electronic or vibrational band of the protein backbone. While such an experimental strategy is easy to implement, the use of a single spectroscopic signal can leave important folding events undetected and overlooked. Herein, we demonstrate, using the mini-protein Trp-cage as an example, that the structural resolution of protein folding kinetics can be significantly improved when a multi-probe and multi-frequency approach is used, thus allowing a more complete understanding of the folding mechanism.

Abstract: We have performed the first unbiased folding simulations of the GB1 hairpin in explicit solvent, using hundreds of microsecond-long molecular dynamics simulations (total time: 0.7 ms). Our simulations are initiated from two sets of structures. Starting from an equilibrium unfolded state, we obtain single-exponential folding kinetics with rate coefficients in good agreement (T = 350 K) or within an order of magnitude (T = 300 K) of the experimental values. However, simulations initiated from unfolded configurations lacking secondary structure result in biexponential kinetics with an additional fast nanosecond kinetic mode. This mode can strongly bias the folding rate estimated from the mean first passage time, when the trials are much shorter than the folding time. We find that the mechanism of the hairpin folding is insensitive to the details of the initial unfolded ensemble and is initiated by correct formation of the turn of the hairpin, followed by the formation of the native hydrogen bonds and hydrophobic contacts, consistent with experimental ϕ-value analysis. Subsequent native interactions can be formed either from the turn or from the hairpin termini, helping to explain an apparent discrepancy in experimental results. From our simulations, we also obtain the transition path durations, a critical parameter for single molecule experiments aiming to resolve events along folding pathways. The lengths of transition paths span a wide range, from 50 ps to 140 ns, at 300 K.

Abstract: Slow protein folding processes during which kinetic folding intermediates occur for an extended time can lead to aggregation and dysfunction in living cells. Therefore, protein folding helpers have evolved, which prevent proteins from aggregation and/or speed up folding processes. In this study, we present the structural characterization of a long-living transient folding intermediate of RNase T1 (S54G/P55N) by time-resolved NMR spectroscopy. NMR resonances of this kinetic folding intermediate could be assigned mainly by a real-time 3D BEST-HNCA. These assignments were the basis to investigate the interaction sites between the protein folding helper enzyme SlyD(1-165) (SlyD*) from Escherichia coli (E. coli) and this kinetic intermediate at a residue resolution. Thus, we investigated the Michaelis–Menten complex of this enzyme reaction, because the NMR data acquisition was performed during the actual catalysis. The interaction surface of the transient folding intermediate is restricted to a region around t...

Abstract: Assuming that the main variables in the life processes at the molecular level are the conformation of biological macromolecules and their frontier electrons a formalism of quantum theory on conformation-electron system is proposed. Based on the quantum theory of conformation-electron system, the protein folding is regarded as a quantum transition between torsion states on polypeptide chain, and the folding rate is calculated by nonadiabatic operator method. The rate calculation is generalized to the case of frequency variation in folding. An analytical form of protein folding rate formula is obtained, which can be served as a useful tool for further studying protein folding. The application of the rate theory to explain the protein folding experiments is briefly summarized. It includes the inertial moment dependence of folding rate, the unified description of two-state and multistate protein folding, the relationship of folding and unfolding rates versus denaturant concentration, the distinction between exergonic and endergonic foldings, the ultrafast and the downhill folding viewed from quantum folding theory, and, finally, the temperature dependence of folding rate and the interpretation of its non-Arrhenius behaviors. All these studies support the view that the protein folding is essentially a quantum transition between conformational states.

Abstract: The existence of conformational switching in proteins, induced by single amino acid mutations, presents an important challenge to our understanding of the physics of protein folding. Sequence-local methods, commonly used to detect structural homology, are incapable of accounting for this phenomenon. We examine a set of proteins, derived from the G(A) and G(B) domains of Streptococcus protein G, which are known to show a dramatic conformational change as a result of single-residue replacement. It is shown that these sequences, which are almost identical locally, can have very different global patterns of physical properties. These differences are consistent with the observed complete change in conformation. These results suggest that sequence-local methods for identifying structural homology can be misleading. They point to the importance of global sequence analysis in understanding sequence-structure relationships.

Abstract: Global and co-translational protein folding may both occur in vivo, and understanding the relationship between these folding mechanisms is pivotal to our understanding of protein-structure formation. Within this study, over 1.5 million hydrophobic-polar sequences were classified based on their ability to attain a unique, but not necessarily minimal energy conformation through co-translational folding. The sequence and structure properties of the sets were then compared to elucidate signatures of co-translational folding. The strongest signature of co-translational folding is a reduced number of possible favorable contacts in the amino terminus. There is no evidence of fewer contacts, more local contacts, or less-compact structures. Co-translational folding produces a more compact amino- than carboxy-terminal region and an amino-terminal-biased set of core residues. In real proteins these signatures are also observed and found most strongly in proteins of the alpha/beta structural class of proteins (SCOP) where 71 % have an amino-terminal set of core residues. The prominence of co-translational features in experimentally determined protein structures suggests that the importance of co-translational folding is currently underestimated.

Abstract: Protein folding is a dynamic process with continuous transitions among different conformations. In this work, the dynamics in the protein folding network of villin headpiece subdomain (HP35) has been investigated based on multiple reversible folding trajectories of HP35 and its ultrafast folding mutant where sub-angstrom folding was achieved. The four folding states were clearly separated on the network, validating the classification of the states. Examination of the eight conformers with different formation of the individual helices revealed high plasticity of the three helices in all the four states. A consistent feature between the wild type and mutant protein is the dominant conformer 111 (all three helices formed) in the folded state and conformers 111 and 011 (helices II and III formed) in the major intermediate state, indicating the critical role of helices II and III in the folding mechanism. When compared to the wild type, the folding landscape of the ultrafast folding mutant exhibited a deeper folding funnel towards the folded state. The very beginning of the folding (0–10 ns) was very similar for both protein variants but it soon diverged and displayed different folding pathways. Although going through the major intermediate state is the dominant pathway for both, it was also observed that some folding went through the minor intermediate state for the mutant. The intriguing difference resulting from the mutation at two residues in helix III has been carefully analyzed and discussed in details.

Abstract: conditions is fundamental to describing their functions at molecular level. Sig-nificant advances in theory, experiment and simulation have been achieved (1), making it possible to solve the three mostly focused aspects of protein folding problems (2):(i) The thermodynamic question of how a native structure results from inter-atomic forces acting on an amino acid sequence - the folding code; (ii) The kinetic problem of how a native structure can fold so fast - the folding rate;(iii) The computational problem of how to predict the native structure of a protein from its amino acid sequence – the protein structure prediction. The views on protein folding have evolved from simple force-driven folding (3),

Abstract: Protein folding is regarded as a quantum transition between the torsion states of a polypeptide chain. According to the quantum theory of conformational dynamics, we propose the dynamical contact order (DCO) defined as a characteristic of the contact described by the moment of inertia and the torsion potential energy of the polypeptide chain between contact residues. Consequently, the protein folding rate can be quantitatively studied from the point of view of dynamics. By comparing theoretical calculations and experimental data on the folding rate of 80 proteins, we successfully validate the view that protein folding is a quantum conformational transition. We conclude that (i) a correlation between the protein folding rate and the contact inertial moment exists; (ii) multi-state protein folding can be regarded as a quantum conformational transition similar to that of two-state proteins but with an intermediate delay. We have estimated the order of magnitude of the time delay; (iii) folding can be classified into two types, exergonic and endergonic. Most of the two-state proteins with higher folding rate are exergonic and most of the multi-state proteins with low folding rate are endergonic. The folding speed limit is determined by exergonic folding.

Abstract: Proteins are uniquely capable of identifying targets with unparalleled selectivity, but, in addition to the precision of the binding phenomenon, nature has the ability to find its targets exceptionally quickly. Transcription factors for instance can bind to a specific sequence of nucleic acids from a soup of similar, but not identical DNA strands, on a timescale of seconds. This is only possible with the enhanced kinetics provided for by a natively disordered structure, where protein folding and binding are cooperative processes. The secondary structures of many proteins are disordered under physiological conditions. Subsequently, the disordered structures fold into ordered structures only when they bind to their specific targets. Induced folding of the protein has two key biological advantages. First, flexible unstructured domains can result in an intrinsic plasticity that allows them to accommodate targets of various size and shape. And, second, the dynamics of this folding process can result in enhanced binding kinetics. Several groups have hypothesized the acceleration of binding kinetics is due to induced folding where a “fly-casting” effect has been shown to break the diffusion-limited rate of binding. This review describes experimental results in rationally designed peptide systems where the folding is coupled to amphiphilicity and biomolecular activity.

Abstract: Folding experiments have suggested that some proteins have kinetic intermediates with a non-native structure. A simple G o model does not explain such non-native intermediates. Therefore, the folding energy landscape of proteins with non-native intermediates should have characteristic properties. To identify such properties, we investigated the folding of bovine β-lactoglobulin (βLG). This protein has an intermediate with a non-native α-helical structure, although its native form is predominantly composed of β-structure. In this study, we prepared mutants whose α-helical and β-sheet propensities are modified and observed their folding using a stopped-flow circular dichroism apparatus. One interesting finding was that E44L, whose β-sheet propensity was increased, showed a folding intermediate with an amount of β-structure similar to that of the wild type, though its folding took longer. Thus, the intermediate seems to be a trapped intermediate. The high α-helical propensity of the wild-type sequence likely causes the folding pathway to circumvent such time-consuming intermediates. We propose that the role of the non-native intermediate is to control the pathway at the beginning of the folding reaction.

Abstract: Current questions in protein folding mechanisms include how fast can a protein fold and are there energy barriers for the folding and unfolding of ultrafast folding proteins? The small 3-helical engrailed homeodomain protein folds in 1.7 μs to form a well-characterized intermediate, which rearranges in 17 μs to native structure. We found that the homologous pituitary-specific transcription factor homeodomain (Pit1) folded in a similar manner, but in two better separated kinetic phases of 2.3 and 46 μs. The greater separation and better fluorescence changes facilitated a detailed kinetic analysis for the ultrafast phase for formation of the intermediate. Its folding rate constant changed little with denaturant concentration or mutation but unfolding was very sensitive to denaturant and energy changes on mutation. The folding rate constant of 3 × 105 s-1 in water decreased with increasing viscosity, and was extrapolated to 4.4 × 105 s-1 at zero viscosity. Thus, the formation of the intermediate was partly rate limited by chain diffusion and partly by an energy barrier to give a very diffuse transition state, which was followed by the formation of structure. Conversely, the unfolding reaction required the near complete disruption of the tertiary structure of the intermediate in a highly cooperative manner, being exquisitely sensitive to individual mutations. The folding is approaching, but has not reached, the downhill-folding scenario of energy landscape theory. Under folding conditions, there is a small energy barrier between the denatured and transition states but a larger barrier between native and transition states.

Abstract: The thermal stability and folding kinetics of a series of 15-residue β-hairpins with a common Type I [3:5] NPDG turn were studied using Fourier transform infrared spectroscopy (FTIR) and laser-induced temperature jump (T-jump) with infrared detection, respectively. Mutations at positions 3, 5, or 13 in the peptide sequence SEXYXNPDGTWTXTE, where X represents the position of mutation, were performed to study the roles of hydrophobic interactions in determining the thermodynamic and kinetic properties of β-hairpin folding. The thermal stability studies show a broad thermal folding/unfolding transition for all the peptides. T-jump studies indicate that these β-hairpin peptides fold in less than 2 μs. In addition, both folding and unfolding rate constants decrease with increasing strength of hydrophobic interactions. Kinetically, the hydrophobic interactions have more significant influence on the unfolding rate than the folding rate. Φ-value analysis indicates that the hydrophobic interactions between the sid...

Abstract: (2011). Thermodynamic Framework of the Interaction between Protein and Solvent Drives Protein Folding. Journal of Biomolecular Structure and Dynamics: Vol. 28, No. 4, pp. 645-646.

Abstract: (2011). Stoichiometry versus Hydrophobicity in Protein Folding. Journal of Biomolecular Structure and Dynamics: Vol. 28, No. 4, pp. 589-591.

Abstract: $\ensuremath{\Phi}$-value analysis has proved to be a powerful technique in protein folding studies. It has been used to study the transition state structures, to infer microscopic folding pathways, and to identify key residues in the protein folding process. However, its effectiveness in protein binding reaction has not been tested, especially when a fly-casting mechanism is involved. In this article we attempt to answer this question through a coarse-grained study of the binding reaction of Arc repressor dimer. Our simulations show that its binding process proceeds through a fly-casting mechanism, consistent with previous results. We then estimate the importance of the residues for the fly-casting binding by computationally mutating each of them into glycine and calculating their respective effects on the capture radius. It is found that (1) the residues with high $\ensuremath{\Phi}$ values may not be responsible for the large capture radius in the fly-casting binding; (2) mutation of residues with low $\ensuremath{\Phi}$ values may destabilize the denatured states and then increase the capture radius, presumably further increasing the binding rate. Based on our simulations, we conclude that $\ensuremath{\Phi}$ values do not reflect well the importance of residues in the fly-casting binding reaction and need to be combined with other techniques to provide a complete picture.

Abstract: Determining how a string of amino acid residues folds into the ­biologically active protein conformation remains as one of the most important and challenging tasks in biology. Protein folding is usually a fast reaction in which transient intermediates in the folding pathway are short lived, highly dynamic, and very difficult to be trapped, isolated, and characterized. The technique of oxidative folding applied to study disulfide proteins overcomes some of these problems. During protein oxidative folding, the coupling between conformational folding and disulfide formation together with the possibility to selectively quench the progress of the oxidative reaction permits the isolation and further structural characterization of transient folding intermediates in atomic detail. With its unique chemistry and relatively slow kinetics of disulfide formation, the technique of oxidative folding has facilitated the detailed characterization of the folding pathways of an important number of disulfide-rich proteins. The results reveal a high degree of diversity of folding mechanisms, which are mainly manifested by the extent of heterogeneity and native-like structures of their intermediate ensembles. Overall, as we will discuss in this chapter, the study of disulfide-containing polypeptides has contributed significantly to our current knowledge on the molecular basis of protein folding.