Distinguishing between sequential and nonsequentially folded proteins: implications for folding and misfolding.

We describe here an algorithm for distinguishing sequential from nonsequentially folding proteins. Several experiments have recently suggested that most of the proteins that are synthesized in the eukaryotic cell may fold sequentially. This proposed folding mechanism in vivo is particularly advantageous to the organism. In the absence of chaperones, the probability that a sequentially folding protein will misfold is reduced significantly. The problem we address here is devising a procedure that would differentiate between the two types of folding patterns. Footprints of sequential folding may be found in structures where consecutive fragments of the chain interact with each other. In such cases, the folding complexity may be viewed as being lower. On the other hand, higher folding complexity suggests that at least a portion of the polypeptide backbone folds back upon itself to form three-dimensional (3D) interactions with noncontiguous portion(s) of the chain. Hence, we look at the mechanism of folding of the molecule via analysis of its complexity, that is, through the 3D interactions formed by contiguous segments on the polypeptide chain. To computationally splice the structure into consecutively interacting fragments, we either cut it into compact hydrophobic folding units or into a set of hypothetical, transient, highly populated, contiguous fragments ("building blocks" of the structure). In sequential folding, successive building blocks interact with each other from the amino to the carboxy terminus of the polypeptide chain. Consequently, the results of the parsing differentiate between sequentially vs. nonsequentially folded chains. The automated assessment of the folding complexity provides insight into both the likelihood of misfolding and the kinetic folding rate of the given protein. In terms of the funnel free energy landscape theory, a protein that truly follows the mechanism of sequential folding, in principle, encounters smoother free energy barriers. A simple sequentially folded protein should, therefore, be less error prone and fold faster than a protein with a complex folding pattern.     

Role of the ribosome in protein folding

In all organisms, the ribosome synthesizes and folds full length polypeptide chains into active three-dimensional conformations. The nascent protein goes through two major interactions, first with the ribosome which synthesizes the polypeptide chain and holds it for a considerable length of time, and then with the chaperones. Some of the chaperones are found in solution as well as associated to the ribosome. A number of in vitro and in vivo experiments revealed that the nascent protein folds through specific interactions of some amino acids with the nucleotides in the peptidyl transferase center (PTC) in the large ribosomal subunit. The mechanism of this folding differs from self-folding. In this article, we highlight the folding of nascent proteins on the ribosome and the influence of chaperones etc. on protein folding.     

Recursive domains in proteins.

The domain is a fundamental unit of protein structure. Numerous studies have analyzed folding patterns in protein domains of known structure to gain insight into the underlying protein folding process. Are such patterns a haphazard assortment or are they similar to sentences in a language, which can be generated by an underlying grammar? Specifically, can a small number of intuitively sensible rules generate a large class of folds, including feasible new folds? In this paper, we explore the extent to which four simple rules can generate the known all‐β folds, using tools from graph theory. As a control, an exhaustive set of β‐sandwiches was tested and found to be largely incompatible with such a grammar. The existence of a protein grammar has potential implications for both the mechanism of folding and the evolution of domains.     

Biophysical characterisation of the small ankyrin repeat protein myotrophin

The 118 residue protein myotrophin is composed of four ankyrin repeats that stack linearly to form an elongated, predominantly α-helical structure. The protein folds via a two-state mechanism at equilibrium. The free energy change of unfolding in water (ΔG_U-N^H₂O) is 5.8 kcal.mol⁻¹. The chevron plot reveals that the folding reaction has a broad energy barrier and that it conforms to a two-state mechanism. The rate of folding in water (k_f^H₂O) of 95 s⁻¹ is several orders of magnitude slower than the value predicted by topological calculations. Proline mutants were used to show that the minor kinetic phases observed for myotrophin arise from heterogeneity of the ground states due to cis-trans isomerisation of prolyl as well as non-prolyl peptide bonds. Myotrophin is the first example of a naturally occurring ankyrin repeat protein that conforms to an apparent two-state mechanism at equilibrium and under kinetic conditions, making it highly suitable for high resolution protein folding studies.     

Exploring the folding pathway of green fluorescent protein through disulfide engineering

We have introduced two disulfide crosslinks into the loop regions on opposite ends of the beta barrel in superfolder green fluorescent protein (GFP) in order to better understand the nature of its folding pathway. When the disulfide on the side opposite the N/C‐termini is formed, folding is 2× faster, unfolding is 2000× slower, and the protein is stabilized by 16 kJ/mol. But when the disulfide bond on the side of the termini is formed we see little change in the kinetics and stability. The stabilization upon combining the two crosslinks is approximately additive. When the kinetic effects are broken down into multiple phases, we observe Hammond behavior in the upward shift of the kinetic m‐value of unfolding. We use these results in conjunction with structural analysis to assign folding intermediates to two parallel folding pathways. The data are consistent with a view that the two fastest transition states of folding are "barrel closing" steps. The slower of the two phases passes through an intermediate with the barrel opening occurring between strands 7 and 8, while the faster phase opens between 9 and 4. We conclude that disulfide crosslink‐induced perturbations in kinetics are useful for mapping the protein folding pathway.     

Folding thermodynamics and kinetics of the leucine-rich repeat domain of the virulence factor Internalin B

Although the folding of alpha-helical repeat proteins has been well characterized, much less is known about the folding of repeat proteins containing beta-sheets. Here we investigate the folding thermodynamics and kinetics of the leucine-rich repeat (LRR) domain of Internalin B (InlB), an extracellular virulence factor from the bacterium Lysteria monocytogenes. This domain contains seven tandem leucine-rich repeats, of which each contribute a single beta-strand that forms a continuous beta-sheet with neighboring repeats, and an N-terminal alpha-helical capping motif. Despite its modular structure, InlB folds in an equilibrium two-state manner, as reflected by the identical thermodynamic parameters obtained by monitoring its sigmoidal urea-induced unfolding transition by different spectroscopic probes. Although equilibrium two-state folding is common in alpha-helical repeat proteins, to date, InlB is the only beta-sheet-containing repeat protein for which this behavior is observed. Surprisingly, unlike other repeat proteins exhibiting equilibrium two-state folding, InlB also folds by a simple two-state kinetic mechanism lacking intermediates, aside from the effects of prolyl isomerization on the denatured state. However, like other repeat proteins, InlB also folds significantly more slowly than expected from contact order. When plotted against urea, the rate constants for the fast refolding and single unfolding phases constitute a linear chevron that, when fitted with a kinetic two-state model, yields thermodynamic parameters matching those observed for equilibrium folding. Based on these kinetic parameters, the transition state is estimated to comprise 40% of the total surface area buried upon folding, indicating that a large fraction of the native contacts are formed in the rate-limiting step to folding.     

Folding of Top7 in unbiased all‐atom Monte Carlo simulations

For computational studies of protein folding, proteins with both helical and β‐sheet secondary structure elements are very challenging, as they expose subtle biases of the physical models. Here, we present reproducible folding of a 92 residue α/β protein (residues 3–94 of Top7, PDB ID: 1QYS) in computer simulations starting from random initial conformations using a transferable physical model which has been previously shown to describe the folding and thermodynamic properties of about 20 other smaller proteins of different folds. Top7 is a de novo designed protein with two α‐helices and a five stranded β‐sheet. Experimentally, it is known to be unusually stable for its size, and its folding transition distinctly deviates from the two‐state behavior commonly seen in natural single domain proteins. In our all‐atom implicit solvent parallel tempering Monte Carlo simulations, Top7 shows a rapid transition to a group of states with high native‐like secondary structure, and a much slower subsequent transition to the native state with a root mean square deviation of about 3.5 Å from the experimentally determined structure. Consistent with experiments, we find Top7 to be thermally extremely stable, although the simulations also find a large number of very stable non‐native states with high native‐like secondary structure. Proteins 2013; 81:1446–1456. © 2013 Wiley Periodicals, Inc.     

Reduced alphabet for protein folding prediction

What are the key building blocks that would have been needed to construct complex protein folds? This is an important issue for understanding protein folding mechanism and guiding de novo protein design. Twenty naturally occurring amino acids and eight secondary structures consist of a 28‐letter alphabet to determine folding kinetics and mechanism. Here we predict folding kinetic rates of proteins from many reduced alphabets. We find that a reduced alphabet of 10 letters achieves good correlation with folding rates, close to the one achieved by full 28‐letter alphabet. Many other reduced alphabets are not significantly correlated to folding rates. The finding suggests that not all amino acids and secondary structures are equally important for protein folding. The foldable sequence of a protein could be designed using at least 10 folding units, which can either promote or inhibit protein folding. Reducing alphabet cardinality without losing key folding kinetic information opens the door to potentially faster machine learning and data mining applications in protein structure prediction, sequence alignment and protein design. Proteins 2015; 83:631–639. © 2015 Wiley Periodicals, Inc.     

A hydrophobic cluster forms early in the folding of dihydrofolate reductase

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

Folding Nuclei in Proteins

When a protein folds or unfolds, it passes through many half-folded microstates. Only a few of them can accumulate and be seen experimentally, and this happens only when the folding (or unfolding) occurs far from the point of thermodynamic equilibrium between the native and denatured states. The universal features of folding, though, are observed in the vicinity of the equilibrium point. Here the two-state transition proceeds without any accumulation of metastable intermediates, and only the transition state (folding nucleus) is outlined by its key influence on the folding/unfolding kinetics. This review covers recent experimental and theoretical studies of folding nuclei.     

Topological accessibility shows a distinct asymmetry in the folds of betaalpha proteins

A novel measure, called "topological accessibility" quantifies how easy it is to reconstruct a protein structure using only local contacts when starting at any point on the chain. Plotting this measure for all points in the chain gives a picture of how accessible the fold is. Simple folds are accessible from all positions, others are accessible only from limited positions while the most complex folds are not accessible from any position. The distribution of topological accessibility along the chain was found to be completely symmetric for the all-alpha and all-beta protein classes. However, for the betaalpha class, a distinct asymmetry was found (with probability 10(-30) of being due to chance). Examination of the proteins contributing to this signal indicated many that have an ancient origin. This suggests that the folds of these proteins may have become fixed under the influence of amino-terminal folding before the advent of chaperone assisted folding.     

The folding process of acylphosphatase from Escherichia coli is remarkably accelerated by the presence of a disulfide bond

The acylphosphatase from Escherichia coli (EcoAcP) is the first AcP so far studied with a disulfide bond. A mutational variant of the enzyme lacking the disulfide bond has been produced by substituting the two cysteine residues with alanine (EcoAcP mutational variant C5A/C49A, mutEcoAcP). The native states of the two protein variants are similar, as shown by far-UV and near-UV circular dichroism and dynamic light-scattering measurements. From unfolding experiments at equilibrium using intrinsic fluorescence and far-UV circular dichroism as probes, EcoAcP shows an increased conformational stability as compared with mutEcoAcP. The wild-type protein folds according to a two-state model with a very fast rate constant (k_F^H2O = 72,600 s^− 1), while mutEcoAcP folds ca 1500-fold slower, via the accumulation of a partially folded species. The correlation between the hydrophobicity of the polypeptide chain and the folding rate, found previously in the AcP-like structural family, is maintained only when considering the mutant but not the wild-type protein, which folds much faster than expected from this correlation. Similarly, the correlation between the relative contact order and the folding rate holds only for mutEcoAcP. The correlation also holds for EcoAcP, provided the relative contact order value is recalculated by considering the disulfide bridge as an alternate path for the backbone to determine the shortest sequence separation between contacting residues. These results indicate that the presence of a disulfide bond in a protein is an important determinant of the folding rate and allows its contribution to be determined in quantitative terms.     

Substitutions of prolines examine their role in kinetic trap formation of the caspase recruitment domain (CARD) of RICK

Caspase recruitment domains (CARDs) are small helical protein domains that adopt the Greek key fold. For the two CARDs studied to date, RICK-CARD and caspase-1-CARD (CP1-CARD), the proteins unfold by an apparent two-state process at equilibrium. However, the folding kinetics are complex for both proteins and may contain kinetically trapped species on the folding pathway. In the case of RICK-CARD, the time constants of the slow refolding phases are consistent with proline isomerism. RICK-CARD contains three prolines, P47 in turn 3, and P85 and P87. The latter two prolines constitute a nonconserved PxP motif in helix 6. To examine the role of the prolines in the complex folding kinetics of RICK-CARD, we generated seven proline-to-alanine mutants, including three single mutants, three double mutants, and one triple mutant. We examined the spectroscopic properties, equilibrium folding, binding to CP1-CARD, and folding kinetics. The results show that P85 is critical for maintaining the function of the protein and that all mutations decrease the stability. Results from single mixing and sequential mixing stopped-flow studies strongly suggest the presence of parallel folding pathways consisting of at least two unfolded populations. The mutations affect the distribution of the two unfolded species, thereby affecting the population that folds through each channel. The two conformations also are present in the triple mutant, demonstrating that interconversion between them is not due to prolyl isomerism. Overall, the data show that the complex folding pathway, especially formation of kinetically trapped species, is not due to prolyl isomerism.     

Presence of the cofactor speeds up folding of Desulfovibrio desulfuricans flavodoxin

Flavodoxin is an alpha/beta protein with a noncovalently bound flavin-mononucleotide (FMN) cofactor. The apo-protein adopts a structure identical to that of the holo-form, although there is more dynamics in the FMN-binding loops. The equilibrium unfolding processes of Azotobacter vinelandii apo-flavodoxin, and Desulfovibrio desulfuricans ATCC strain 27774 apo- and holo-flavodoxins involve rather stable intermediates. In contrast, we here show that both holo- and apo-forms of flavodoxin from D. desulfuricans ATCC strain 29577 (75% sequence similarity with the strain 27774 protein) unfold in two-state equilibrium processes. Moreover, the FMN cofactor remains bound to the unfolded holo-protein. The folding and unfolding kinetics for holo-flavodoxin exhibit two-state behavior, albeit an additional slower phase is present at very low denaturant concentrations. The extrapolated folding time in water for holo-flavodoxin, approximately 280 microsec, is in excellent agreement with that predicted from the protein's native-state topology. Unlike the holo-protein behavior, the folding and unfolding reactions for apo-flavodoxin are best described by two kinetic phases, with rates differing approximately 15-fold, suggesting the presence of a kinetic intermediate. Both folding phases for apo-flavodoxin are orders of magnitude slower (40- and 530-fold, respectively) than that for the holo-protein. We conclude that polypeptide-cofactor interactions in the unfolded state of D. desulfuricans strain 29577 flavodoxin alter the kinetic-folding path towards two-state and speed up the folding reaction.     

Surprisingly high correlation between early and late stages in non-two-state protein folding

We collected quantitative kinetic data on early and late stages of folding in non-two-state proteins from the literature, and studied the relationship between the kinetics of the two stages. There was a surprisingly high correlation between the rate constants of these stages. The correlation coefficient of the logarithmic rate constants was as high as 0.97, which could not be caused by chance. We also studied relationships of the logarithmic rate constants of the two stages with native three-dimensional structures represented by the residue-residue contact map. There were again surprisingly high correlations between the logarithmic rate constants and the number of non-local contact clusters obtained from the contact maps. Because the number of non-local contact clusters represents overall arrangement of substructures in a native protein, the results strongly suggested the importance of the arrangement of the substructures for the kinetics of both early and late stages of protein folding.     

Structural features of protein folding nuclei

A crucial event of protein folding is the formation of a folding nucleus. We demonstrate the presence of a considerable coincidence between the location of folding nuclei and the location of so-called "root structural motifs", which have unique overall folds and handedness. In the case of proteins with a single root structural motif, the involvement in the formation of a folding nucleus is in average significantly higher for amino acids residues that are in root structural motifs, compared to residues in other parts of the protein. The tests carried out revealed that the observed difference is statistically reliable. Thus, a structural feature that corresponds to the protein folding nucleus is now found.     

What is the minimum number of letters required to fold a protein?

Experimental studies have shown that the full sequence complexity of naturally occurring proteins is not required to generate rapidly folding and functional proteins, i.e. proteins can be designed with fewer than 20 letters. This raises the question of what is the minimum number of amino acid types required to encode complex protein folds? Here, we investigate this issue from three aspects. First, we study the minimum sequence complexity that can reserve the necessary structural information for detection of distantly related homologues. Second, we compare the ability of designing foldable model sequences over a wide range of reduced amino acid alphabets, which find the minimum number of letters that have the similar design ability as 20. Finally, we survey the lower bound of alphabet size of globular proteins in a non-redundant protein database. These different approaches give a remarkably consistent view, that the minimum number of letters required to fold a protein is around ten.