Physical reasons for secondary structure stability: alpha-helices in short peptides

It was recently found that some short peptides (including C- and S-peptide fragments of RNase A) can have considerable helicity in solution, ^1–12 which was considered to be surprising. Does the observed helicity require a new explanation, or is it consistent with previous understanding? In this work we show that this helicity is consistent with the physical theory of secondary structure^12–19 based on an extension of the conventional Zimm-Bragg model.²⁰ Without any special modifications, this theory explains reasonably well almost all the experimentally observed dependencies of helicity on pH, temperature, and amino acid replacements. We conclude that the observed “general level” of helicity of C- and S-peptides (5–30% at room temperature and 10–50% near 0°C) is “normal” for short peptides consisting mainly of helix-forming and helix-indifferent residues. The helicity is modified by a multitude of weak specific side chain interactions, many of which are taken into account by the present theory;^13–19 some discrepancies between the theory and experiment can be explained by weak side-chain-side chain interactions that were neglected. A reasonable coincidence of the theory with experiment suggests that it had been used to investigate the role of local interactions in the formation of α-helical “embryos” in unfolded protein chains.     

Folding and aggregation of TEM beta-lactamase: analogies with the formation of inclusion bodies in Escherichia coli.

The enzyme TEM beta-lactamase has been used as a model for understanding the pathway leading to formation of inclusion bodies in Escherichia coli. The equilibrium denaturation of TEM beta-lactamase revealed that an intermediate that has lost enzymatic activity, native protein fluorescence, and UV absorption, but retains 60% of the native circular dichroism signal, becomes populated at intermediate (1.0-1.4 M) concentrations of guanidium chloride (GdmCl). This species exhibits a large increase in bis-1-anilino-8-naphthalene sulfonic acid fluorescence, indicating the presence of exposed hydrophobic surfaces. When TEM beta-lactamase was unfolded in different initial concentrations of GdmCl and refolded to the same final conditions by dialysis a distinct minimum in the yield of active protein was observed for initial concentrations of GdmCl in the 1.0-1.5 M range. It was shown that the lower reactivation yield was solely due to the formation of noncovalently linked aggregates. We propose that the aggregation of TEM beta-lactamase involves the association of a compact state having partially exposed hydrophobic surfaces. This hypothesis is consistent with our recent findings that TEM beta-lactamase inclusion bodies contains extensive secondary structure (Przybycien TM, Dunn JP, Valax P, Georgiou G, 1994, Protein Eng 7:131-136). Finally, we have also shown that protein aggregation was enhanced at higher temperatures and in the presence of 5 mM dithiothreitol and was inhibited by the addition of sucrose. These conditions exert a similar effect on the formation of inclusion bodies in vivo.     

Role of phosphorylation in conformational adaptability of bovine myelin basic protein.

Controlled thrombic digestion of a preparation of components 2 + 3 isolated from the 18.5 kDa bovine myelin basic protein (MBP) yielded a polypeptide that was monophosphorylated on threonine 97 (component 3pT97). This is the first posttranslationally phosphorylated MBP isolated in pure form. We studied the effect of this single phosphate on the conformational adaptability of 18.5 kDa bovine MBP by comparing the circular dichroism (CD) spectrum of component 3pT97 with the spectra of highly purified nonphosphorylated components 1 and 2. The CD spectra of nonphosphorylated component 1 and component 2 [monodeamidated form(s) of component 1] were indistinguishable, while component 3pt97 exhibited a different spectrum. The singly phosphorylated MBP component exhibited 13% more ordered conformations than that adopted by nonphosphorylated MBP in dilute aqueous solutions. This was estimated from the CD spectra, and apparently involved about 17 additional amino acid residues in beta-structure(s).     

Dimerization of beta B2-crystallin: the role of the linker peptide and the N- and C-terminal extensions.

beta B2- and gamma B-crystallins of vertebrate eye lens are 2-domain proteins in which each domain consists of 2 Greek key motifs connected by a linker peptide. Although the folding topologies of beta B2- and gamma B-domains are very similar, gamma B-crystallin is always monomeric, whereas beta B2-crystallin associates to homodimers. It has been suggested that the linker or the protruding N- and C-terminal arms of beta B2-crystallin (not present in gamma B) are a necessary requirement for this association. In order to investigate the role of these segments for dimerization, we constructed two beta B2 mutants. In the first mutant, the linker peptide was replaced with the one from gamma B (beta B2 gamma L). In the second mutant, the N- and C-terminal arms of 15- and 12-residues length were deleted (beta B2 delta NC). The beta B2 gamma L mutant is monomeric, whereas the beta B2 delta NC mutant forms dimers and tetramers that cannot be interconverted without denaturation. The spectral properties of the beta B2 mutants, as well as their stabilities against denaturants, resemble those of wild-type beta B2-crystallin, thus indicating that the overall peptide fold of the subunits is not changed significantly. We conclude that the peptide linker in beta B2-crystallin is necessary for dimerization, whereas the N- and C-terminal arms appear to be involved in preventing the formation of higher homo-oligomers.     

Folding of beta/alpha-unit scrambled forms of S. cerevisiae triosephosphate isomerase: Evidence for autonomy of substructure formation and plasticity of hydrophobic and hydrogen bonding interactions in core of (beta/alpha)8-barrel

We show that residues at the interfaces of protein-protein complexes have higher side-chain energy than other surface residues. Eight different sets of protein complexes were analyzed. For each protein pair, the complex structure was used to identify the interface residues in the unbound monomer structures. Side-chain energy was calculated for each surface residue in the unbound monomer using our previously developed scoring function.1 The mean energy was calculated for the interface residues and the other surface residues. In 15 of the 16 monomers, the mean energy of the interface residues was higher than that of other surface residues. By decomposing the scoring function, we found that the energy term of the buried surface area of non-hydrogen-bonded hydrophilic atoms is the most important factor contributing to the high energy of the interface regions. In spite of lacking hydrophilic residues, the interface regions were found to be rich in buried non-hydrogen-bonded hydrophilic atoms. Although the calculation results could be affected by the inaccuracy of the scoring function, patch analysis of side-chain energy on the surface of an isolated protein may be helpful in identifying the possible protein-protein interface. A patch was defined as 20 residues surrounding the central residue on the protein surface, and patch energy was calculated as the mean value of the side-chain energy of all residues in the patch. In 12 of the studied monomers, the patch with the highest energy overlaps with the observed interface. The results are more remarkable when only three residues with the highest energy in a patch are averaged to derive the patch energy. All three highest-energy residues of the top energy patch belong to interfacial residues in four of the eight small protomers. We also found that the residue with the highest energy score on the surface of a small protomer is very possibly the key interaction residue.     

A detailed unfolding pathway of a (beta/alpha)8-barrel protein as studied by molecular dynamics simulations

The (beta/alpha)(8)-barrel is the most common protein fold. Similar structural properties for folding intermediates of (beta/alpha)(8)-barrel proteins involved in tryptophan biosynthesis have been reported in a number of experimental studies; these intermediates have the last two beta-strands and three alpha-helices partially unfolded, with other regions of the polypeptide chain native-like in conformation. To investigate the detailed folding/unfolding pathways of these (beta/alpha)(8)-barrel proteins, temperature-induced unfolding simulations of N-(5'-phosphoribosyl)anthranilate isomerase from Escherichia coli were carried out using a special-purpose parallel computer system. Unfolding simulations at five different temperatures showed a sequential unfolding pathway comprised of several events. Early events in unfolding involved disruption of the last two strands and three helices, producing an intermediate ensemble similar to those detected in experimental studies. Then, denaturation of the first two betaalpha units and separation of the sixth strand from the fifth took place independently. The remaining central betaalphabetaalphabeta module persisted the longest during all simulations, suggesting an important role for this module as the incipient folding scaffold. Our simulations also predicted the presence of a nucleation site, onto which several hydrophobic residues condensed forming the foundation for the central betaalphabetaalphabeta module.     

Measuring cooperativity in the formation of a three-stranded beta sheet (double hairpin)

Recently validated chemical shift measures of hairpin structuring have been applied to a series of turn mutants of the Schenck-Gellman three-strand beta-sheet model with the aim of measuring the entropic advantage associated with aligning an additional strand onto an existing hairpin versus aligning the same two strands in an initial hairpin formation. In a four-state analysis (unfolded, 2 single hairpins, and the double hairpin fold in equilibrium) a cooperativity index can be defined as the factor by which the equilibrium constant for hairpin formation is improved when one strand is prestructured. This cooperativity index is 2.7 +/- 0.7 for hairpin formation about a stable D-Pro-Gly turn locus and increases to 7.6 +/- 1.2 for an Asn-Gly turn locus. The latter corresponds to a cooperativity induced DeltaDeltaG increment of 4.9 kJ/mol for the folding of a hairpin. Although larger than previous experimental measures of folding cooperativity in three-stranded sheets, the magnitude of this effect (which is considerably less than the TDeltaDeltaS expectation for prestructuring three or more beta-strand residue sites) likely reflects the intrinsic preference of these designed sequences for extended conformations. If similar or larger effects apply to protein beta-sheet folding, it is not surprising that particularly favorable hairpin alignments serve as nucleation sites in protein folding pathways.     

Side-chain entropy effects on protein secondary structure formation

Loss of conformational entropy is one of the primary factors opposing protein folding. Both the backbone and side-chain of each residue in a protein will have their freedom of motion restricted in the final folded structure. The type of secondary structure of which a residue is part will have a significant impact on how much side-chain entropy is lost. Side-chain conformational entropies have previously been determined for folded proteins, simple models of unfolded proteins, alpha-helices, and a dipeptide model for beta-strands, but not for polyproline II (PII) helices. In this work, we present side-chain conformational estimates for the three regular secondary structure types: alpha-helices, beta-strands, and PII helices. Entropies are estimated from Monte Carlo computer simulations. Beta-strands are modeled as two structures, parallel and antiparallel beta-strands. Our data indicate that restraining a residue to the PII helix or antiparallel beta-strand conformations results in side-chain entropies equal to or higher than those obtained by restraining residues to the parallel beta-strand conformation. Side-chains in the alpha-helix conformation have the lowest side-chain entropies. The observation that extended structures retain the most side-chain entropy suggests that such structures would be entropically favored in unfolded proteins under folding conditions. Our data indicate that the PII helix conformation would be somewhat favored over beta-strand conformations, with antiparallel beta-strand favored over parallel. Notably, our data imply that, under some circumstances, residues may gain side-chain entropy upon folding. Implications of our findings for protein folding and unfolded states are discussed.     

Roles for the two N-terminal (β/α) modules in the folding of a (β/α)₈-barrel protein as studied by fragmentation analysis

The (β/α)₈‐barrel is one of the most abundant folds found in enzymes. To identify the independent folding units and the segment(s) that correspond to a minimum core structure within a (β/α)₈‐barrel protein, fragmentation experiments were performed with Escherichia coli phosphoribosylanthranilate isomerase, which has a single (β/α)₈‐barrel domain. Our previous studies indicated that the central four β/α segments comprise an independent folding unit; whereas, the role(s) of the first two β/α segments in folding had not been clarified prior to this report. Herein, we report the design and synthesis of a series of N‐terminally deleted fragments starting with (β/α)_1–5β₆ as the parent construct. Analytical gel filtration and urea‐induced equilibrium unfolding experiments indicated that deletions within the N‐terminal region, that is, within the first two β/α modules, resulted in reduced stability or aggregation of the remaining segments. The (β/α)_3–5β₆ segment appeared to fold into a stable structure and deletion of β₆ from (β/α)_3–5β₆ yielded (β/α)_3–5, which did not form native‐like secondary structures. However, urea‐induced unfolding of (β/α)_3–5, monitored by reduction of tryptophan fluorescence, indicated that the fragment contained a loosely packed hydrophobic core. Taken together, the results of our previous and present fragmentation experiments suggest the importance of the central (β/α)_3–4β₅ module in folding, which is a finding that is compatible with our simulated unfolding study performed previously. Proteins 2010. © 2010 Wiley‐Liss, Inc.     

The importance of surface loops for stabilizing an eightfold beta alpha barrel protein.

An important step in understanding how a protein folds is to determine those regions of the sequence that are critical to both its stability and its folding pathway. We chose phosphoribosyl anthranilate isomerase from Escherichia coli, which is a monomeric representative of the (beta alpha)8 barrel family of proteins, to construct a variant that carries an internal tandem duplication of the fifth beta alpha module. This (beta alpha)9 variant was enzymically active and therefore must have a wild-type (beta alpha)8 core. It had a choice a priori to fold to three different folding frames, which are distinguished by carrying the duplicated segment as an insert into one out of three different loops. Steady-state kinetic constants, the fluorescence properties of a crucial tryptophan residue, and limited proteolysis showed that the stable (beta alpha)9 variant carries the insertion between beta-strand 5 and alpha-helix 5. This preference can be explained by the important role of loops between alpha helices and beta strands in stabilizing the structure of the enzyme.     

Continuum electrostatics of the C-peptide: anatomy of the problem.

A computational study of the role of all ionizable groups of the C-peptide in its helix-coil transition is performed within the framework of continuum electrostatics. The method employed in our computations involves a numeric solution of the Poisson equation with the Boundary Element Method. Our calculations correctly predict the experimentally observed trends in the helix-coil equilibrium of the C-peptide, and suggest that the mechanisms involved are more complex than usually presumed in the literature. Our results suggest that electrostatic interactions in the unfolded conformation are often more important than in the helix, total electrostatic contribution to the helix-coil transition due to the side chains of the C-peptide destabilizes the helix, changes in the helix stability produced by the changes in the ionization state of the side chains are dominated by side chain effects, the effect of the helix dipole on the energetics of the helix-coil transition of the C-peptide is either minor or similar to other contributions in magnitude; while the formation of a salt bridge is electrostatically favorable, formation of the hydrogen bond between a charged and a polar side chains is not. Factors limiting the accuracy of the computations are discussed.     

Reversible unfolding and refolding behavior of a monomeric aldolase from Staphylococcus aureus.

Thermal and GdmCl-induced unfolding transitions of aldolase from Staphylococcus aureus are reversible under a variety of solvent conditions. Analysis of the transitions reveals that no partially folded intermediates can be detected under equilibrium conditions. The stability of the enzyme is very low with a delta G0 value of -9 +/- 2 kJ/mol at 20 degrees C. The kinetics of unfolding and refolding of aldolase are complex and comprise at least one fast and two slow reactions. This complexity arises from prolyl isomerization reactions in the unfolded chain, which are kinetically coupled to the actual folding reaction. Comparison with model calculations shows that at least two prolyl peptide bonds give rise to the observed slow folding reactions of aldolase and that all of the involved bonds are presumably in the trans conformation in the native state. The rate constant of the actual folding reaction is fast with a relaxation time of about 15 s at the midpoint of the folding transition at 15 degrees C. The data presented on the folding and stability of aldolase are comparable to the properties of much smaller proteins. This might be connected with the simple and highly repetitive tertiary structure pattern of the enzyme, which belongs to the group of alpha/beta barrel proteins.     

Understanding the roles of amino acid residues in tertiary structure formation of chignolin by using molecular dynamics simulation

Chignolin is a 10-residue peptide (GYDPETGTWG) that forms a stable beta-hairpin structure in water. However, its design template, GPM12 (GYDDATKTFG), does not have a specific structure. To clarify which amino acids give it the ability to form the beta-hairpin structure, we calculated the folding free-energy landscapes of chignolin, GPM12, and their chimeric peptides using multicanonical molecular dynamics (MD) simulation. Cluster analysis of the conformational ensembles revealed that the native structure of chignolin was the lowest in terms of free energy while shallow local minima were widely distributed in the free energy landscape of GPM12, in agreement with experimental observations. Among the chimeric peptides, GPM12(D4P/K7G) stably formed the same beta-hairpin structure as that of chignolin in the MD simulation. This was confirmed by nuclear magnetic resonance (NMR) spectroscopy. A comparison of the free-energy landscapes showed that the conformational distribution of the Asp3-Pro4 sequence was inherently biased in a way that is advantageous both to forming hydrogen bonds with another beta-strand and to initiating loop structure. In addition, Gly7 helps stabilize the loop structure by having a left-handed alpha-helical conformation. Such a conformation is necessary to complete the loop structure, although it is not preferred by other amino acids. Our results suggest that the consistency between the short-range interactions that determine the local geometries and the long-range interactions that determine the global structure is important for stable tertiary structure formation.     

Solution structure and dynamics of bovine beta-lactoglobulin A

Using heteronuclear NMR spectroscopy, we studied the solution structure and dynamics of bovine beta-lactoglobulin A at pH 2.0 and 45 degrees C, where the protein exists as a monomeric native state. The monomeric NMR structure, comprising an eight-stranded continuous antiparallel beta-barrel and one major alpha-helix, is similar to the X-ray dimeric structure obtained at pH 6.2, including betaI-strand that forms the dimer interface and loop EF that serves as a lid of the interior hydrophobic hole. [1H]-15N NOE revealed that betaF, betaG, and betaH strands buried under the major alpha-helix are rigid on a pico- to nanosecond time scale and also emphasized rapid fluctuations of loops and the N- and C-terminal regions.     

Energetics of the structure and chain tilting of antiparallel beta-barrels in proteins

The preferred structural pattern of antiparallel beta-barrels in proteins, described as the right-handed tilting of the peptide strands with respect to the axis of the barrel, is accounted for in terms of intra- and interchain interaction energies. It is related to the preference of beta-sheets for right-handed twisting. Conformational energy computations have been carried out on three eight-stranded antiparallel beta-barrels composed of six-residue strands, in which L-Val and Gly alternate, and having a right-handed, a left-handed, or no tilt. After energy minimization, the relative energies of these structures were 0.0, 8.6, and 46.1 kcal/mol, respectively; i.e., the right-tilted beta-barrel is favored energetically, in agreement with anti-parallel beta-barrels observed in proteins. Tilting of the barrel is favored, relative to the nontilted structure, by both intra- and interstrand interactions, because tilting allows better packing of the bulky side chains. On the other hand, the energy difference between the left- and right-tilted barrels arises essentially from intrachain interactions. This is a consequence of the preference of beta-sheets for a right-handed twist. Space limitations inside the barrel are satisfied if there is an alternation of bulky residues and residues with small or no side chain (preferably Gly) in neighboring positions on adjacent strands. Such a pattern is seen frequently in antiparallel beta-barrels of globular proteins. The computations indicate that a structure with Val...Gly pairs can be accommodated in a beta-barrel with no distortion.     

Free energy barrier estimation of unfolding the alpha-helical surfactant-associated polypeptide C

Molecular dynamics simulations were conducted to estimate the free energy barrier of unfolding surfactant-associated polypeptide C (SP-C) from an alpha-helical conformation. Experimental studies indicate that while the helical fold of SP-C is thermodynamically stable in phospholipid micelles, it is metastable in a mixed organic solvent of CHCl3/CH3OH/0.1 M HCl at 32:64:5 (v/v/v), in which it undergoes an irreversible transformation to an insoluble aggregate that contains beta-sheet. On the basis of experimental observations, the free energy barrier was estimated to be approximately 100 kJ/mole by applying Eyring's transition state theory to the experimental rate of unfolding [Protein Sci 1998;7:2533-2540]. These studies prompted us to carry out simulations to investigate the unwinding process of two helical turns encompassing residues 25-32 in water and in methanol. The results give an upper bound estimation for the free energy barrier of unfolding of SP-C of approximately 20 kJ/mole. The results suggest a need to reconsider the applicability of a single-mode activated process theory to protein unfolding.     

Cross-strand side-chain interactions versus turn conformation in beta-hairpins.

A series of designed peptides has been analyzed by 1H-NMR spectroscopy in order to investigate the influence of cross-strand side-chain interactions in beta-hairpin formation. The peptides differ in the N-terminal residues of a previously designed linear decapeptide that folds in aqueous solution into two interconverting beta-hairpin conformations, one with a type I turn (beta-hairpin 4:4) and the other with a type I + G1 beta-bulge turn (beta-hairpin 3:5). Analysis of the conformational behavior of the peptides studied here demonstrates three favorable and two unfavorable cross-strand side-chain interactions for beta-hairpin formation. These results are in agreement with statistical data on side-chain interactions in protein beta-sheets. All the peptides in this study form significant populations of the beta-hairpin 3:5, but only some of them also adopt the beta-hairpin 4:4. The formation of beta-hairpin 4:4 requires the presence of at least two favorable cross-strand interactions, whereas beta-hairpin 3:5 seems to be less susceptible to side-chain interactions. A protein database analysis of beta-hairpins 3:5 and beta-hairpins 4:4 indicates that the former occur more frequently than the latter. In both peptides and proteins, beta-hairpins 3:5 have a larger right-handed twist than beta-hairpins 4:4, so that a factor contributing to the higher stability of beta-hairpin 3:5 relative to beta-hairpin 4:4 is due to an appropriate backbone conformation of the type I + G1 beta-bulge turn toward the right-handed twist usually observed in protein beta-sheets. In contrast, as suggested previously, backbone geometry of the type I turn is not adequate for the right-handed twist. Because analysis of buried hydrophobic surface areas on protein beta-hairpins reveals that beta-hairpins 3:5 bury more hydrophobic surface area than beta-hairpins 4:4, we suggest that the right-handed twist observed in beta-hairpin 3:5 allows a better packing of side chains and that this may also contribute to its higher intrinsic stability.     

Removal of kinetic traps and enhanced protein folding by strategic substitution of amino acids in a model alpha-helical hairpin peptide

The presence of non-native kinetic traps in the free energy landscape of a protein may significantly lengthen the overall folding time so that the folding process becomes unreliable. We use a computational model alpha-helical hairpin peptide to calculate structural free energy landscapes and relate them to the kinetics of folding. We show how protein engineering through strategic changes in only a few amino acid residues along the primary sequence can greatly increase the speed and reliability of the folding process, as seen experimentally. These strategic substitutions also prevent the formation of long-lived misfolded configurations that can cause unwanted aggregations of peptides. These results support arguments that removal of kinetic traps, obligatory or nonobligatory, is crucial for fast folding.     

Charge centers and formation of the protein folding core

Electrostatic interactions are important for protein folding. At low resolution, the electrostatic field of the whole molecule can be described in terms of charge center(s). To study electrostatic effects, the centers of positive and negative charge were calculated for 20 small proteins of known structure, for which hydrogen exchange cores had been determined experimentally. Two observations seem to be important. First, in all 20 proteins studied 30-100% of the residues forming hydrogen exchange core(s) were clustered around the charge centers. Moreover, in each protein more than half of the core sequences are located near the centers of charge. Second, the general architecture of all-alpha proteins from the set seems to be stabilized by interactions of residues surrounding the charge centers. In most of the alpha-beta proteins, either or both of the centers are located near a pair of consecutive strands, and this is even more characteristic for alpha/Beta and all-beta structures. Consecutive strands are very probable sites of early folding events. These two points lead to the conclusion that charge centers, defined solely from the structure of the folded protein may indicate the location of a protein's hydrogen exchange/folding core. In addition, almost all the proteins contain well-conserved continuous hydrophobic sequences of three or more residues located in the vicinity of the charge centers. These hydrophobic sequences may be primary nucleation sites for protein folding. The results suggest the following scheme for the order of events in folding: local hydrophobic nucleation, electrostatic collapse of the core, global hydrophobic collapse, and slow annealing to the native state. This analysis emphasizes the importance of treating electrostatics during protein-folding simulations.