Alpha-helix to random-coil transitions of two-chain coiled coils: the use of physical models in treating thermal denaturation equilibria of isolated subsequences of alpha alpha-tropomyosin

Two extant models of thermal folding/unfolding equilibria in two-chain, alpha-helical coiled coils are tested by comparison with experimental results on excised, isolated subsequences of rabbit alpha alpha-tropomyosin (Tm). These substances are designated iTmj where i and j are, respectively, the residue numbers (in the 284-residue parent chain) of the N- and C-terminal residues of the subsequence. One model postulates that a coiled coil consists of segments, each denaturing in an all-or-none manner, like small globular proteins. Thus this model yields a small number of populated molecular species. In an extant calorimetry study of 11Tm127 and of 190Tm284, each required only two all-or-none-segments, and their enthalpies and transition temperatures were assigned. These assignments are shown here to yield the concentration of all molecular species, and therefore the helix content, as a function of temperature. Such calculations for 190Tm284 are in tolerable agreement with CD experiments, but those for 11Tm127 are in gross disagreement. Thus, either the model itself or the calorimetric assignment is faculty. In the second model, all conformational states are counted and weighted, as in the Zimm-Bragg theory for single-chain polypeptides. This theory has been extended (by Skolnick) to two-chain coiled coils and is here used to fit CD data for 11Tm127, 142Tm281, and 190Tm284. The fit is tolerable for 11Tm127, good for 142Tm281, and quantitative for 190Tm284. Thus this comparison does not falsify this second model. The helix-helix interaction free energy, obtainable from the fit, shows nonadditivity when isolated subsequences are compared with the parent. This suggests that removal of a region from a long coiled coil allows energetically substantial adjustments in side-chain packing in the helix-helix interface. Thus, the helix-helix interaction in long coiled coils is characteristic of a global free energy minimum and not just of the regional constellation of side chains.     

Further characterization of the kinetic folding intermediate of αα-tropomyosin and of its 142–281 subsequence

The backbone CD spectrum from 250 to 212 nm for the kinetic folding intermediate of αα-tropomyosin (αα-Tm) and nonpolymerizable αα-Tm was obtained. The spectrum shows that the intermediate is indeed α-helical with about 70% of the equilibrium α-helix content. Subsequence ₁₄₂Tm₂₈₁ of the α-tropomyosin chain has five tyrosine residues (at positions 162, 214, 221, 261, 267). Stopped flow CD at the negative peak in the tyrosine spectral region (280 nm) shows that any tyrosine residues that contribute to the spectrum in the region have already reached their final state in the fast phase of folding ( < 0.04 s). © 1993 John Wiley & Sons, Inc.     

A scanning calorimetric study of unfolding equilibria in homodimeric chicken gizzard tropomyosins.

Using both circular dichroism (CD) and differential scanning calorimetry (DSC), several laboratories find that the thermal unfolding transitions of alpha alpha and beta beta homodimeric coiled coils of rabbit tropomyosin are multistate and display an overall unfolding enthalpy of near 300 kcal (mol dimer)(-1). In contrast, an extant CD study of beta beta and gamma gamma species of chicken gizzard tropomyosin concludes that their unfolding transitions are simple two-state transitions, with much smaller overall enthalpies (98 kcal mol(-1) for beta beta and 162 kcal mol(-1) for gamma gamma). However, these smaller enthalpies have been questioned, because they imply a concentration dependence of the melting temperatures that is far larger than observed by CD. We report here DSC studies of the unfolding of both beta beta and gamma gamma chicken gizzard homodimers. The results show that these transitions are very similar to those in rabbit tropomyosins in that 1) the overall unfolding enthalpy is near 300 kcal mol(-1); 2) the overall delta C(rho) values are significantly positive; 3) the various transitions are multistate, requiring at least two and as many as four domains to fit the DSC data. DSC studies are also reported on these homodimeric species of chicken gizzard tropomyosin with a single interchain disulfide cross-link. These results are also generally similar to those for the correspondingly cross-linked rabbit tropomyosins.     

Conformational intermediates in the folding of a coiled-coil model peptide of the N-terminus of tropomyosin and alpha alpha-tropomyosin.

Circular dichroism was used to study the folding of alpha alpha-tropomyosin and AcTM43, a 43-residue peptide designed to serve as a model for the N-terminal domain of tropomyosin. The sequence of the peptide is AcMDAIKKKMQMLKLDVENLLDRLEQLEADLKALEDRYKQLEGGC. The peptide appeared to form a coiled coil at low temperatures (< 25 degrees C) in buffers with physiological ionic strength and pH. The folding and unfolding of the peptide, however, were noncooperative. When CD spectra were examined as a function of temperature, the apparent degree of folding differed when the ellipticity was followed at 222, 208, and 280 nm. Deconvolution of the spectra suggested that at least three component curves contributed to the CD in the far UV. One component curve was similar to the CD spectrum of the coiled-coil alpha-helix of native alpha alpha-tropomyosin. The second curve resembled the spectrum of single-stranded short alpha-helical segments found in globular proteins. The third was similar to that of polypeptides in the random coil conformation. These results suggested that as the peptide folded, the alpha-helical content increased before most of the coiled coil was formed. When the CD spectrum of striated muscle alpha alpha-tropomyosin was examined as a function of temperature, the unfolding was also not totally cooperative. As the temperature was raised from 0 to 25 degrees C, there was a decrease in the coiled coil and an increase in the conventional alpha-helix type spectrum without formation of random coil. The major transition, occurring at 40 degrees C, was a cooperative transition characterized by the loss of all of the remaining coiled coil and a concomitant increase in random coil.     

Structural stability of short subsequences of the tropomyosin chain

The native tropomyosin molecule is a parallel, registered, α-helical coiled coil made from two 284-residiic chains. Long excised subsequences (≥ 95 residues) form the same structure with comparable thermal stability. Here, we investigate local stability using shorter subsequences (20-50 residues) that are chemically synthesized or excised from various regions along the protein chain. Thermal unfolding studies of such shorter peptides by CD in the same solvent medium used in extant studies of the parent protein indicate very low helix content, almost no coiled-coil formation, and high thermal lability of such secondary structure as does form. This behavior is in stark contrast to extant data on leucine-zipper peptides and short “designed” synthetic peptides, many of which have high α-helix content and form highly stable coiled coils. The existence of short coiled coils calls into question the older idea that short subsequences of a protein have little structure. The present study supports the older view, at least in its application to tropomyosin. The intrinsic local α-helical propensity and helix–helix interaction in this prototypical α-helical protein is sufficiently weak as to require not only dimerization, but macro-molecular amplification in order to attain its native conformation in common benign media near neutral pH. © 1995 John Wiley & Sons, Inc.     

Alpha-helix to random coil transitions: determination of peptide concentration from the CD at the isodichroic point.

A method is presented for determining the concentrations of peptides and proteins having isodichroic points near 203 nm. The existence of an isodichroic point for a given substance indicates a local two-state (alpha-helix, random coil) population. The mean residue ellipticity at the isodichroic point, [theta lambda i], is, of course, independent of helix content. For a wide variety of synthetic and natural peptides, including both single helices and coiled coils, it is shown that [theta lambda i] is also essentially independent of substance and of whether the transition is induced by temperature, ionic strength, pH, chain length changes, amino acid substitution, or solvent perturbation. Averaging [theta lambda i] values culled from various laboratories gives -151 +/- 16 (SD, 7 sources) deg.cm2.mmol-1. In our laboratory, nonpolymerizable rabbit alpha-tropomyosin and two alpha-tropomyosin subsequences yield -135 +/- 10 (SD, 190 values) deg.cm2.mmol-1. Thus, given [theta lambda i] for a peptide of known concentration, it is possible to estimate the concentration of any other peptide provided that it has an isodichroic point at which the ellipticity is accurately measurable. It is then possible to calculate [theta lambda] at any other wavelength for which theta is known. It is advisable to determine [theta lambda i] for the best known peptide in one's own laboratory, since it depends on absolute instrument and cell calibrations and an absolute concentration determination.     

Hierarchical Cascades of Instability Govern the Mechanics of Coiled Coils: Helix Unfolding Precedes Coil Unzipping

Coiled coils are a fundamental emergent motif in proteins found in structural biomaterials, consisting of α-helical secondary structures wrapped in a supercoil. A fundamental question regarding the thermal and mechanical stability of coiled coils in extreme environments is the sequence of events leading to the disassembly of individual oligomers from the universal coiled-coil motifs. To shed light on this phenomenon, here we report atomistic simulations of a trimeric coiled coil in an explicit water solvent and investigate the mechanisms underlying helix unfolding and coil unzipping in the assembly. We employ advanced sampling techniques involving steered molecular dynamics and metadynamics simulations to obtain the free-energy landscapes of single-strand unfolding and unzipping in a three-stranded assembly. Our comparative analysis of the free-energy landscapes of instability pathways shows that coil unzipping is a sequential process involving multiple intermediates. At each intermediate state, one heptad repeat of the coiled coil first unfolds and then unzips due to the loss of contacts with the hydrophobic core. This observation suggests that helix unfolding facilitates the initiation of coiled-coil disassembly, which is confirmed by our 2D metadynamics simulations showing that unzipping of one strand requires less energy in the unfolded state compared with the folded state. Our results explain recent experimental findings and lay the groundwork for studying the hierarchical molecular mechanisms that underpin the thermomechanical stability/instability of coiled coils and similar protein assemblies.     

Fifty years of coiled-coils and alpha-helical bundles: a close relationship between sequence and structure

alpha-Helical coiled coils are remarkable for the diversity of related conformations that they adopt in both fibrous and globular proteins, and for the range of functions that they exhibit. The coiled coils are based on a heptad (7-residue), hendecad (11-residue) or a related quasi-repeat of apolar residues in the sequences of the alpha-helical regions involved. Most of these, however, display one or more sequence discontinuities known as stutters or stammers. The resulting coiled coils vary in length, in the number of chains participating, in the relative polarity of the contributing alpha-helical regions (parallel or antiparallel), and in the pitch length and handedness of the supercoil (left- or right-handed). Functionally, the concept that a coiled coil can act only as a static rod is no longer valid, and the range of roles that these structures have now been shown to exhibit has expanded rapidly in recent years. An important development has been the recognition that the delightful simplicity that exists between sequence and structure, and between structure and function, allows coiled coils with specialized features to be designed de novo.     

Hierarchical Cascades of Instability Govern the Mechanics of Coiled Coils: Helix Unfolding Precedes Coil Unzipping

Coiled coils are a fundamental emergent motif in proteins found in structural biomaterials, consisting of α-helical secondary structures wrapped in a supercoil. A fundamental question regarding the thermal and mechanical stability of coiled coils in extreme environments is the sequence of events leading to the disassembly of individual oligomers from the universal coiled-coil motifs. To shed light on this phenomenon, here we report atomistic simulations of a trimeric coiled coil in an explicit water solvent and investigate the mechanisms underlying helix unfolding and coil unzipping in the assembly. We employ advanced sampling techniques involving steered molecular dynamics and metadynamics simulations to obtain the free-energy landscapes of single-strand unfolding and unzipping in a three-stranded assembly. Our comparative analysis of the free-energy landscapes of instability pathways shows that coil unzipping is a sequential process involving multiple intermediates. At each intermediate state, one heptad repeat of the coiled coil first unfolds and then unzips due to the loss of contacts with the hydrophobic core. This observation suggests that helix unfolding facilitates the initiation of coiled-coil disassembly, which is confirmed by our 2D metadynamics simulations showing that unzipping of one strand requires less energy in the unfolded state compared with the folded state. Our results explain recent experimental findings and lay the groundwork for studying the hierarchical molecular mechanisms that underpin the thermomechanical stability/instability of coiled coils and similar protein assemblies.     

Investigating the tolerance of coiled-coil peptides to nonheptad sequence inserts

Coiled-coil motifs foster a wide variety of protein-protein interactions. Canonical coiled coils are based on 7-residue repeats, which guide the folding and assembly of amphipathic alpha-helices. In many cases such repeats remain unbroken for tens to hundreds of residues. However, the sequences of an increasing number of putative and characterised coiled coils digress from this pattern. We probed the consequences of nonheptad inserts using a designed leucine-zipper system. The parent peptide, SKIP0, which had four contiguous heptads, was confirmed as a parallel homodimer by circular dichroism spectroscopy and analytical ultracentrifugation. Seven daughter peptides were constructed in which 1 to 7 alanine residues were inserted between the central heptads of SKIP0. Like SKIP0, SKIP7 formed a stable helical dimer, but the other peptides were highly destabilised, with the order of dimer stability SKIP4 > SKIP5 > SKIP6 > SKIP3 > SKIP2 > SKIP1. These results are consistent with an extended theory of coiled-coil assembly in which coiled-coil-compatible motifs are based on 3- and 4-residue spacings and most notably heptad (7-residue) and hendecad (11-residue) repeats. Thus, they help explain why in natural sequences, inserts after canonical heptad repeats most commonly comprise 4 residues. Possible biological roles for nonheptad inserts are discussed.     

Temperature dependence of the folding and unfolding kinetics of the GCN4 leucine zipper via 13C(alpha)-NMR

Studies by one-dimensional NMR are reported on the interconversion of folded and unfolded forms of the GCN4 leucine zipper in neutral saline buffer. The peptide bears 99% 13C(alpha) labels at three sites: V9, L12, and G31. Time-domain 13C(alpha)-NMR spectra are interpreted by global Bayesian lineshape analysis to extract the rate constants for both unfolding and folding as functions of temperature in the range 47-71 degrees C. The data are well fit by the assumption that the same rate constants apply at each labeled site, confirming that only two conformational states need be considered. Results show that 1) both processes require a free energy of activation; 2) unfolding is kinetically enthalpy-opposed and entropy-driven, while folding is the opposite; and 3) the transition state dimer ensemble averages approximately 40% helical. The activation parameters for unfolding, derived from NMR data at the elevated temperatures where both conformations are populated, lead to estimates of the rate constant at low temperatures (5-15 degrees C) that agree with extant values determined by stopped-flow CD via dilution from denaturing media. However, the corresponding estimated values for the folding rate constant are larger by two to three orders of magnitude than those obtained by stopped flow. We propose that this apparent disagreement is caused by the necessity, in the stopped-flow experiment, for initiation of new helices as the highly denaturant-unfolded molecule adjusts to the newly created benign solvent conditions. This must reduce the success rate of collisions in producing the folded molecule. In the NMR determinations, however, the unfolded chains always have a small, but essential, helix content that makes such initiation unnecessary. Support for this hypothesis is adduced from recent extant experiments on the helix-coil transition in single-chain helical peptides and from demonstration that the folding rate constants for coiled coils, as obtained by stopped flow, are influenced by the nature of the denaturant used.     

Designed coiled-coil proteins: synthesis and spectroscopy of two 78-residue alpha-helical dimers.

Receptor-adhesive modular proteins are nongenetic proteins designed to contain ligand, spacer, coil, and linker modules and to interact strongly with integrins or other types of cell-surface receptors. We have designed, chemically synthesized, and characterized a 39-residue peptide chain having a 6-residue ligand module (Gly-Arg-Gly-Asp-Ser-Pro-) for adherence to Arg-Gly-Asp-binding integrin receptors, a 3-residue spacer module (-Gly-Tyr-Gly-) for flexibility, and a 30-residue coil module [-(Arg-Ile-Glu-Ala-Ile-Glu-Ala) 4-Arg-Cys-NH2] containing four 7-residue repeats for dimerization. This chain was designed to form a 78-residue noncovalent dimer (P39) by folding the coils of two chains into an alpha-helical coiled coil through hydrophobic interaction of eight pairs of Ile residues. Air oxidation of P39 gave P78, a 78-residue covalent dimer having a disulfide bridge linking its C termini. Raman spectroscopy indicated that both synthetic proteins have high alpha-helical content. Ultraviolet circular dichroic spectroscopy indicated that both dimers contain stable alpha-helical coiled coils. Its C-terminal disulfide bridge renders P78 significantly more stable than P39 to thermal denaturation or denaturation by urea. The coiled coil of P39 was 30% unfolded near 55 degrees C and half-unfolded in 8 M urea, while that of P78 was 30% unfolded only near 85 degrees C. These studies have demonstrated the feasibility of using these ligand, spacer, and coil modules to construct the designed coiled-coil proteins P39 and P78, a stage in the nanometric engineering of receptor-adhesive modular proteins.     

Application of the augmented theory of alpha-helix-to-random-coil transitions of two-chain, coiled coils to extant data on synthetic, tropomyosin-analog peptides

The statistical mechanical theory for the helix-to-random-coil transition in two-chain coiled coils is applied to extant data for two synthetic coiled-coil polypeptides. These peptides have the primary structure K(LEALEGK)_n, in which n = 4, 5. This repeating heptet sequence mimics the pattern of hydrophobic, acidic, and basic residues characteristic of the 284-residue tropomyosin molecule, the prototypical coiled-coil protein. Theoretical calculations for single chains show that such model peptides cannot be directly compared to proteins like tropomyosin because of differences in chain length (29 and 36 residues vs 284) and in intrachain interactions, the latter caused by the differences in amino acid composition and seqeunce between protein and model. Application of the theory to extant data on the two synthetic peptides provides a semiquantitative fit and results in an assessment of the interhelix interaction in the model peptides. The value obtained, ～ 2000 cal · (mol of turn pairs)^–1, is four to five times larger than has been obtained for tropomyosin. This probably is a result of greater regularity in the structure of the synthetics and of the exclusive presence of leucine in the hydrophobic interface. The theory employed here insists that this powerful interhelix interaction in the synthetic is the principal reason that such short chains can be so highly helical at moderate and low temperatures. Theory predicts, indeed, that a tropomyosin-length chain with a sequence homologous to these synthetics would be completely thermally stable in the entire temperature range accessible in aqueous solutions. Theory also predicts a much more pronounced effect of concentration on the 29- and 36-residue synthetic polymers than is predicted or observed in the case of tropomyosin, and it also predicts a pronounced stabilizing effect of pH-reduction on the thermal curves. On the last two points, sufficient data are not yet available with which to test the theory.     

The coiled-coil trigger site of the rod domain of cortexillin I unveils a distinct network of interhelical and intrahelical salt bridges

BACKGROUND: The parallel two-stranded alpha-helical coiled coil is the most frequently encountered subunit-oligomerization motif in proteins. The simplicity and regularity of this motif have made it an attractive system to explore some of the fundamental principles of protein folding and stability and to test the principles of de novo design. RESULTS: The X-ray crystal structure of the 18-heptad-repeat alpha-helical coiled-coil domain of the actin-bundling protein cortexillin I from Dictyostelium discoideum is a tightly packed parallel two-stranded alpha-helical coiled coil. It harbors a distinct 14-residue sequence motif that is essential for coiled-coil formation, and is a prerequisite for the assembly of cortexillin I. The atomic structure reveals novel types of ionic coiled-coil interactions. In particular, the structure shows that a characteristic interhelical and intrahelical salt-bridge pattern, in combination with the hydrophobic interactions occurring at the dimer interface, is the key structural feature of its coiled-coil trigger site. CONCLUSIONS: The knowledge gained from the structure could be used in the de novo design of alpha-helical coiled coils for applications such as two-stage drug targeting and delivery systems, and in the design of coiled coils as templates for combinatorial helical libraries in drug discovery and as synthetic carrier molecules.     

Probing designability via a generalized model of helical bundle geometry

Because the space of folded protein structures is highly degenerate, with recurring secondary and tertiary motifs, methods for representing protein structure in terms of collective physically relevant coordinates are of great interest. By collapsing structural diversity to a handful of parameters, such methods can be used to delineate the space of designable structures (i.e., conformations that can be stabilized with a large number of sequences)—a crucial task for de novo protein design. We first demonstrate this on natural α-helical coiled coils using the Crick parameterization. We show that over 95% of known coiled-coil structures are within  1-Å C_α root mean square deviation of a Crick-ideal backbone. Derived parameters show that natural geometric space of coiled coils is highly restricted and can be represented by “allowed” conformations amidst a potential continuum of conformers. Allowed structures have (1) restricted axial offsets between helices, which differ starkly between parallel and anti-parallel structures; (2) preferred superhelical radii, which depend linearly on the oligomerization state; (3) pronounced radius-dependent a- and d-position amino acid propensities; and (4) discrete angles of rotation of helices about their axes, which are surprisingly independent of oligomerization state or orientation. In all, we estimate the space of designable coiled-coil structures to be reduced at least 160-fold relative to the space of geometrically feasible structures. To extend the benefits of structural parameterization to other systems, we developed a general mathematical framework for parameterizing arbitrary helical structures, which reduces to the Crick parameterization as a special case. The method is successfully validated on a set of non-coiled-coil helical bundles, frequent in channels and transporter proteins, which show significant helix bending but not supercoiling. Programs for coiled-coil parameter fitting and structure generation are provided via a web interface at http://www.gevorggrigoryan.com/cccp/, and code for generalized helical parameterization is available upon request.     

A CD strategy for the study of polypeptide folding/unfolding. A synthetic foot-and-mouth disease virus immunogenic peptide.

The circular dichroism spectrum of the 20-residue immunogenic peptide from the foot-and-mouth disease virus (VP1; 141-160 of serotype A, subtype 12) was solvent- and temperature-dependent. Careful solvent titration revealed two isodichroic points and plateaux consistent with stepwise unfolding of specific stable conformations. Variable temperature studies in cryogenic solvents and urea perturbation were consistent with the existence of three conformational moieties, the left-handed extended helix, the alpha-helix, and the 3(10) helix. The number of residues in each helix was confirmed by CD spectral simulations. The strategy described here can be used to determine the components of a conformational equilibrium and their statistical weights, to study peptide folding and unfolding and to determine the bioactive conformation(s) of linear peptides. The conclusions were supported by 2D-NMR studies. A new mechanism for the stabilization of left-handed extended helices and destabilization of alpha-helices by urea is proposed. The structure of the peptide as resolved by CD spectroscopy is of particular significance since the conformation of this antigenic sequence in situ has so far not been solved by X-ray crystallography.     

Thermal unfolding equilibria in homodimeric chicken gizzard tropomyosin coiled coils

CD studies are presented on thermal unfolding of coiled-coil homodimers of two genetic variant chains of chicken gizzard tropomyosin (CG-Tm). The experiments include the effects of cross-linking both isoforms and the dependence on protein concentration of unfolding in both reduced isoforms, variables not examined in extant work. The general shapes of the unfolding curves for singly cross-linked species depend on whether the crosslink is at C190 (its site on one isoform) or at C36 (its site on the other). These curves are compared with extant ones for various cross-linked species of rabbit tropomyosin. The comparison supports the view that the unfolding behavior of cross-linked species results from a complex interaction of strain at the cross-link, local variations in structural stability, and loop entropy. The observed concentration dependence of the transition temperature for the uncross-linked (reduced) species of CG-Tm is very small (2.9°C) for one variant homodimer and unobservably small (< 2°C) for the other in the 100-fold concentration range (～ 0.01–1.0 mg/mL) accessible here. These experimental values of ΔT_m are much smaller than are predicted from extant values of the van't Hoff transition enthalpies, calling the latter into question. © 1994 John Wiley & Sons, Inc.