Extending the folding nucleus of ubiquitin with an independently folding beta-hairpin finger: hurdles to rapid folding arising from the stabilisation of local interactions

The N-terminal beta-hairpin sequence of ubiquitin has been implicated as a folding nucleation site. To extend and stabilise the ubiquitin folding nucleus, we have inserted an autonomously folding 14-residue peptide sequence beta4 which in isolation forms a highly populated beta-hairpin (>70%) stabilised by local interactions. NMR structural analysis of the ubiquitin mutant (Ubeta4) shows that the hairpin finger is fully structured and stabilises ubiquitin by approximately 8kJmol(-1). Protein engineering and kinetic (phi(F)-value) analysis of a series of Ubeta4 mutants shows that the hairpin extension of Ubeta4 is also significantly populated in the transition state (phi(F)-values >0.7) and has the effect of templating the formation of native contacts in the folding nucleus of ubiquitin. However, at low denaturant concentrations the chevron plot of Ubeta4 shows a small deviation from linearity (roll-over effect), indicative of the population of a compact collapsed state, which appears to arise from over-stabilisation of local interactions. Destabilising mutations within the native hairpin sequence and within the engineered hairpin extension, but not elsewhere, eliminate this non-linearity and restore apparent two-state behaviour. The pitfall to stabilising local interactions is to present hurdles to the rapid and efficient folding of small proteins down a smooth folding funnel by trapping partially folded or misfolded states that must unfold or rearrange before refolding.     

Importance of secondary structural specificity determinants in protein folding: insertion of a native beta-sheet sequence into an alpha-helical coiled-coil

To examine how a short secondary structural element derived from a native protein folds when in a different protein environment, we inserted an 11-residue beta-sheet segment (cassette) from human immunoglobulin fold, Fab new, into an alpha-helical coiled-coil host protein (cassette holder). This de novo design protein model, the structural cassette mutagenesis (SCM) model, allows us to study protein folding principles involving both short- and long-range interactions that affect secondary structure stability and conformation. In this study, we address whether the insertion of this beta-sheet cassette into the alpha-helical coiled-coil protein would result in conformational change nucleated by the long-range tertiary stabilization of the coiled-coil, therefore overriding the local propensity of the cassette to form beta-sheet, observed in its native immunoglobulin fold. The results showed that not only did the nucleating helices of the coiled-coil on either end of the cassette fail to nucleate the beta-sheet cassette to fold with an alpha-helical conformation, but also the entire chimeric protein became a random coil. We identified two determinants in this cassette that prevented coiled-coil formation: (1) a tandem dipeptide NN motif at the N-terminal of the beta-sheet cassette, and (2) the hydrophilic Ser residue, which would be buried in the hydrophobic core if the coiled-coil structure were to fold. By amino acid substitution of these helix disruptive residues, that is, either the replacement of the NN motif with high helical propensity Ala residues or the substitution of Ser with Leu to enhance hydrophobicity, we were able to convert the random coil chimeric protein into a fully folded alpha-helical coiled-coil. We hypothesized that this NN motif is a "secondary structural specificity determinant" which is very selective for one type of secondary structure and may prevent neighboring residues from adopting an alternate protein fold. These sequences with secondary structural specificity determinants have very strong local propensity to fold into a specific secondary structure and may affect overall protein folding by acting as a folding initiation site.     

Structural and dynamic characterization of an unfolded state of poplar apo-plastocyanin formed under nondenaturing conditions

Plastocyanin is a predominantly beta-sheet protein containing a type I copper center. The conformational ensemble of a denatured state of apo-plastocyanin formed in solution under conditions of low salt and neutral pH has been investigated by multidimensional heteronuclear NMR spectroscopy. Chemical shift assignments were obtained by using three-dimensional triple-resonance NMR experiments to trace through-bond heteronuclear connectivities along the backbone and side chains. The (3)J(HN,Halpha) coupling constants, (15)N-edited proton-proton nuclear Overhauser effects (NOEs), and (15)N relaxation parameters were also measured for the purpose of structural and dynamic characterization. Most of the residues corresponding to beta-strands in the folded protein exhibit small upfield shifts of the (13)C(alpha) and (13)CO resonances relative to random coil values, suggesting a slight preference for backbone dihedral angles in the beta region of (phi,psi) space. This is further supported by the presence of strong sequential d(alphaN)(i, i + 1) NOEs throughout the sequence. The few d(NN)(i, i + 1) proton NOEs that are observed are mostly in regions that form loops in the native plastocyanin structure. No medium or long-range NOEs were observed. A short sequence, between residues 59 and 63, was found to populate a nonnative helical conformation in the unfolded state, as indicated by the shift of the (13)C(alpha), (13)CO, and (1)H(alpha) resonances relative to random coil values and by the decreased values of the (3)J(HN,Halpha) coupling constants. The (15)N relaxation parameters indicate restriction of motions on a nanosecond timescale in this region. Intriguingly, this helical conformation is present in a sequence that is close to but not in the same location as the single short helix in the native folded protein. The results are consistent with earlier NMR studies of peptide fragments of plastocyanin and confirm that the regions of the sequence that form beta-strands in the native protein spontaneously populate the beta-region of (phi,psi) space under folding conditions, even in the absence of stabilizing tertiary interactions. We conclude that the state of apo-plastocyanin present under nondenaturing conditions is a noncompact unfolded state with some evidence of nativelike and nonnative local structuring that may be initiation sites for folding of the protein.     

Energetic coupling between native-state prolyl isomerization and conformational protein folding

In folded proteins, prolyl peptide bonds are usually thought to be either trans or cis because only one of the isomers can be accommodated in the native folded protein. For the N-terminal domain of the gene-3 protein of the filamentous phage fd (N2 domain), Pro161 resides at the tip of a beta hairpin and was found to be cis in the crystal structure of this protein. Here we show that Pro161 exists in both the cis and the trans conformations in the folded form of the N2 domain. We investigated how conformational folding and prolyl isomerization are coupled in the unfolding and refolding of N2 domain. A combination of single-mixing and double-mixing unfolding and refolding experiments showed that, in unfolded N2 domain, 7% of the molecules contain a cis-Pro161 and 93% of the molecules contain a trans-Pro161. During refolding, the fraction of molecules with a cis-Pro161 increases to 85%. This implies that 10.3 kJ mol(-1) of the folding free energy was used to drive this 75-fold change in the Pro161 cis/trans equilibrium constant during folding. The stabilities of the forms with the cis and the trans isomers of Pro161 and their folding kinetics could be determined separately because their conformational folding is much faster than the prolyl isomerization reactions in the native and the unfolded proteins. The energetic coupling between conformational folding and Pro161 isomerization is already fully established in the transition state of folding, and the two isomeric forms are thus truly native forms. The folding kinetics are well described by a four-species box model, in which the N2 molecules with either isomer of Pro161 can fold to the native state and in which cis/trans isomerization occurs in both the unfolded and the folded proteins.     

Unfolded state of polyalanine is a segmented polyproline II helix

Definition of the unfolded state of proteins is essential for understanding their stability and folding on biological timescales. Here, we find that under near physiological conditions the configurational ensemble of the unfolded state of the simplest protein structure, polyalanine alpha-helix, cannot be described by the commonly used Flory random coil model, in which configurational probabilities are derived from conformational preferences of individual residues. We utilize novel effectively ergodic sampling algorithms in the presence of explicit aqueous solvation, and observe water-mediated formation of polyproline II helical (P(II)) structure in the natively unfolded state of polyalanine, and its facilitation of alpha-helix formation in longer peptides. The segmented P(II) helical coil preorganizes the unfolded state ensemble for folding pathway entry by reducing the conformational space available to the diffusive search. Thus, as much as half of the folding search in polyalanine is accomplished by preorganization of the unfolded state.     

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.     

A systematic study of the vibrational free energies of polypeptides in folded and random states

Molecular vibrations, especially low frequency motions, may be used as an indication of the rigidity or the flatness of the protein folding energy landscape. We have studied the vibrational properties of native folded as well as random coil structures of more than 60 polypeptides. The picture we obtain allows us to perceive how and why the energy landscape progressively rigidifies while still allowing potential flexibility. Compared with random coil structures, both alpha-helices and beta-hairpins are vibrationally more flexible. The vibrational properties of loop structures are similar to those of the corresponding random coil structures. Inclusion of an alpha-helix tends to rigidify peptides and so-called building blocks of the structure, whereas the addition of a beta-structure has less effect. When small building blocks coalesce to form larger domains, the protein rigidifies. However, some folded native conformations are still found to be vibrationally more flexible than random coil structures, for example, beta(2)-microglobulin and the SH3 domain. Vibrational free energy contributes significantly to the thermodynamics of protein folding and affects the distribution of the conformational substates. We found a weak correlation between the vibrational folding energy and the protein size, consistent with both previous experimental estimates and theoretical partition of the heat capacity change in protein folding.     

Some recommendations for the practitioner to improve the precision of experimentally determined protein folding rates and phi values

The mechanism by which proteins fold from an initially random conformation into a functional, native structure remains a major unsolved question in molecular biology. Of particular interest to the protein folding community is the structure that the protein adopts in the folding transition state (the highest free energy state on the pathway from unfolded to folded), as that state forms the barrier that defines the folding pathway. Unfortunately, however, unlike those of the initial, unfolded state and the final, folded state of the protein, the structure in the transition state cannot be directly assessed via experiment. Instead, experimentalists infer the structure of the transition state, often by estimating changes in its free energy by measuring the effects of amino acid substitutions on folding and unfolding rates (Phi-value analysis). In this article we show how to obtain more efficient estimates of these important quantities via improved experimental designs, and how to avoid common pitfalls in the analysis of kinetic data during the extraction of these parameters.     

An experimental investigation of conformational fluctuations in proteins G and L

The B1 domains of streptococcal proteins G and L are structurally similar, but they have different sequences and they fold differently. We have measured their NMR spectra at variable temperature using a range of concentrations of denaturant. Many residues have curved amide proton temperature dependence, indicating that they significantly populate alternative, locally unfolded conformations. The results, therefore, provide a view of the locations of low-lying, locally unfolded conformations. They indicate approximately 4-6 local minima for each protein, all within ca. 2.5 kcal/mol of the native state, implying a locally rough energy landscape. Comparison with folding data for these proteins shows that folding involves most molecules traversing a similar path, once a transition state containing a beta hairpin has been formed, thereby defining a well-populated pathway down the folding funnel. The hairpin that directs the folding pathway differs for the two proteins and remains the most stable part of the folded protein.     

Factors involved in the stability of isolated beta-sheets: Turn sequence, beta-sheet twisting, and hydrophobic surface burial

We have recently reported on the design of a 20-residue peptide able to form a significant population of a three-stranded up-and-down antiparallel beta-sheet in aqueous solution. To improve our beta-sheet model in terms of the folded population, we have modified the sequences of the two 2-residue turns by introducing the segment DPro-Gly, a sequence shown to lead to more rigid type II' beta-turns. The analysis of several NMR parameters, NOE data, as well as Deltadelta(CalphaH), DeltadeltaC(beta), and Deltadelta(Cbeta) values, demonstrates that the new peptide forms a beta-sheet structure in aqueous solution more stable than the original one, whereas the substitution of the DPro residues by LPro leads to a random coil peptide. This agrees with previous results on beta-hairpin-forming peptides showing the essential role of the turn sequence for beta-hairpin folding. The well-defined beta-sheet motif calculated for the new designed peptide (pair-wise RMSD for backbone atoms is 0.5 +/- 0.1 A) displays a high degree of twist. This twist likely contributes to stability, as a more hydrophobic surface is buried in the twisted beta-sheet than in a flatter one. The twist observed in the up-and-down antiparallel beta-sheet motifs of most proteins is less pronounced than in our designed peptide, except for the WW domains. The additional hydrophobic surface burial provided by beta-sheet twisting relative to a "flat" beta-sheet is probably more important for structure stability in peptides and small proteins like the WW domains than in larger proteins for which there exists a significant contribution to stability arising from their extensive hydrophobic cores.     

NMR and CD spectroscopy show that imino acid restriction of the unfolded state leads to efficient folding

Protein folding is determined by molecular features in the unfolded state, as well as the native folded structure. In the unfolded state, imino acids both restrict conformational space and present cis-trans isomerization barriers to folding. Because of its high proline and hydroxyproline content, the collagen triple-helix offers an opportunity to characterize the impact of imino acids on the unfolded state and folding kinetics. Here, NMR and CD spectroscopy are used to characterize the role of imino acids in a triple-helical peptide, T1-892, which contains an 18-residue sequence from type I collagen and a C-terminal (Gly-Pro-Hyp)(4) domain. The replacement of Pro or Hyp by an Ala in the (Gly-Pro-Hyp)(4) region significantly decreases the folding rate at low but not high concentrations, consistent with less efficient nucleation. To understand the molecular basis of the decreased folding rate, changes in the unfolded as well as the folded states of the peptides were characterized. While the trimer states of the peptides are all similar, NMR dynamics studies show monomers with all trans (Gly-Pro-Hyp)(4) are less flexible than monomers containing Pro --> Ala or Hyp --> Ala substitutions. Nucleation requires all trans bonds in the (Gly-Pro-Hyp)(4) domain and the constrained monomer state of the all trans nucleation domain in T1-892 increases its competency to initiate triple-helix formation and illustrates the impact of the unfolded state on folding kinetics.     

De novo design of a monomeric three-stranded antiparallel beta-sheet

Here we describe the NMR conformational study of a 20-residue linear peptide designed to fold into a monomeric three-stranded antiparallel beta-sheet in aqueous solution. Experimental and statistical data on amino acid beta-turn and beta-sheet propensities, cross-strand side-chain interactions, solubility criteria, and our previous experience with beta-hairpins were considered for a rational selection of the peptide sequence. Sedimentation equilibrium measurements and NMR dilution experiments provide evidence that the peptide is monomeric. Analysis of 1H and 13C-NMR parameters of the peptide, in particular NOEs and chemical shifts, and comparison with data obtained for two 12-residue peptides encompassing the N- and C-segments of the designed sequence indicates that the 20-residue peptide folds into the expected conformation. Assuming a two-state model, the exchange kinetics between the beta-sheet and the unfolded peptide molecules is in a suitable range to estimate the folding rate on the basis of the NMR linewidths of several resonances. The time constant for the coil-beta-sheet transition is of the order of several microseconds in the designed peptide. Future designs based on this peptide system are expected to contribute greatly to our knowledge of the many factors involved in beta-sheet formation and stability.     

Folding and structural characterization of highly disulfide-bonded beetle antifreeze protein produced in bacteria

The hyperactive antifreeze protein from the beetle, Tenebrio molitor, is an 8.5-kDa, threonine-rich protein containing 16 Cys residues, all of which are involved in disulfide bonds. When produced by Escherichia coli, the protein accumulated in the supernatant in an inactive, unfolded state. Its correct folding required days or weeks of oxidation at 22 or 4 degrees C, respectively, and its purification included the removal of imperfectly folded forms by reversed-phase HPLC. NMR spectroscopy was used to assess the degree of folding of each preparation. One-dimensional (1)H and two-dimensional (1)H total correlation spectroscopy spectra were particularly helpful in establishing the characteristics of the fully folded antifreeze in comparison to less well-folded forms. The recombinant antifreeze had no free -SH groups and was rapidly and completely inactivated by 10 mM DTT. It had a thermal hysteresis activity of 2.5 degrees C at a concentration of 1 mg/ml, whereas fish antifreeze proteins typically show a thermal hysteresis of approximately 1.0 degrees C at 10-20 mg/ml. The circular dichroism spectra of the beetle antifreeze had a superficial resemblance to those of alpha-helical proteins, but deconvolution of the spectra indicated the absence of alpha-helix and the presence of beta-structure and coil. NMR analysis and secondary structure predictions agree with the CD data and are consistent with a beta-helix model proposed for the antifreeze on the basis of its 12-amino-acid repeating structure and presumptive disulfide bond arrangement.     

Hydrophobic core variant ubiquitin forms a molten globule conformation at acidic pH

The conformational properties of hydrophobic core variant ubiquitin (Val26 to Ala mutation) in an acidic solution were studied. The intrinsic tryptophan fluorescence emission spectrum, far-UV and near-UV circular dichroic spectra, the fluorescence emission spectrum of 8-anilinonaphthalene-1-sulfonic acid in the presence of V26A ubiquitin, and urea-induced unfolding measurements indicate this variant ubiquitin to be in the partially folded molten globule conformation in solution at pH 2. The folding kinetics from molten globule to the native state was nearly identical to those from the unfolded state to the native state. This observation suggests that the equilibrium molten globule state of hydrophobic core variant ubiquitin is an on-pathway folding intermediate.     

PII structure in the model peptides for unfolded proteins: studies on ubiquitin fragments and several alanine-rich peptides containing QQQ, SSS, FFF, and VVV

A great deal of attention has been paid lately to the structures in unfolded proteins due to the recent discovery of many biologically functional but natively unfolded proteins and the far-reaching implications of order in unfolded states for protein folding. Recently, studies on oligo-Ala, oligo-Lys, oligo-Asp, and oligo-Glu, as well as oligo-Pro, have indicated that the left-handed polyproline II (PII) is the major local structure in these short peptides. Here, we show by NMR and CD studies that ubiquitin fragments, model unfolded peptides composed of nonrepeating amino acids, and four alanine-rich peptides containing QQQ, SSS, FFF, and VVV sequences are all present in aqueous solution predominantly in the extended PII or beta conformation. The results from this and related studies indicate that PII might be a major backbone conformation in unfolded proteins. The presence of defined local backbone structure in unfolded proteins is inconsistent with predictions from random coil models.     

Characterization of the hydrodynamic properties of the folding transition state of an SH3 domain by magnetization transfer NMR spectroscopy

Protein folding kinetic data have been obtained for the marginally stable N-terminal Src homology 3 domain of the Drosophila protein drk (drkN SH3) in an investigation of the hydrodynamic properties of its folding transition state. Due to the presence of NMR resonances of both folded and unfolded states at equilibrium, kinetic data can be derived from NMR magnetization transfer techniques under equilibrium conditions. Kinetic analysis as a function of urea (less than approximately 1 M) and glycerol enables determination of alpha values, measures of the energetic sensitivity of the transition state to the perturbation relative to the end states of the protein folding reaction (the folded and unfolded states). Both end states have previously been studied experimentally by NMR spectroscopic and other biophysical methods in great detail and under nondenaturing conditions. Combining these results with the kinetic folding data obtained here, we can characterize the folding transition state without requiring empirical models for the unfolded state structure. We are thus able to give a reliable measure of the solvent-accessible surface area of the transition state of the drkN SH3 domain (4730 +/- 360 A(2)) based on urea titration data. Glycerol titration data give similar results and additionally demonstrate that folding of this SH3 domain is dependent on solvent viscosity, which is indicative of at least partial hydration of the transition state. Because SH3 domains appear to fold by a common folding mechanism, the data presented here provide valuable insight into the transition states of the drkN and other SH3 domains.     

Refolding simulations of an isolated fragment of barnase into a native-like β hairpin: Evidence for compactness and hydrogen bonding as concurrent stabilizing factors

Experimental evidence and theoretical models both suggest that protein folding is initiated within specific fragments intermittently adopting conformations close to that found in the protein native structure. These folding initiation sites encompassing short portions of the protein are ideally suited for study in isolation by computational methods aimed at peering into the very early events of folding. We have used Molecular Dynamics (MD) technique to investigate the behavior of an isolated protein fragment formed by residues 85 to 102 of barnase that folds into a β hairpin in the protein native structure. Three independent MD simulations of 1.3 to 1.8 ns starting from unfolded conformations of the peptide portrayed with an all-atom model in water were carried out at gradually decreasing temperature. A detailed analysis of the conformational preferences adopted by this peptide in the course of the simulations is presented. Two of the unfolded peptide conformations fold into a hairpin characterized by native and a larger bulk of nonnative interactions. Both refolding simulations substantiate the close relationship between interstrand compactness and hydrogen bonding network involving backbone atoms. Persistent compactness witnessed by side-chain interactions always occurs concomitantly with the formation of backbone hydrogen bonds. No highly populated conformations generated in a third simulation starting from the remotest unfolded conformer relative to the native structure are observed. However, nonnative long-range and medium-range contacts with the aromatic moiety of Trp94 are spotted, which are in fair agreement with a former nuclear magnetic resonance study of a denaturing solution of an isolated barnase fragment encompassing the β hairpin. All this lends reason to believe that the 85–102 barnase fragment is a strong initiation site for folding. Proteins 29:212–227, 1997. © 1997 Wiley-Liss, Inc.     

Conformational analysis of peptides corresponding to all the secondary structure elements of protein L B1 domain: secondary structure propensities are not conserved in proteins with the same fold.

The solution conformation of three peptides corresponding to the two beta-hairpins and the alpha-helix of the protein L B1 domain have been analyzed by circular dichroism (CD) and nuclear magnetic resonance spectroscopy (NMR). In aqueous solution, the three peptides show low populations of native and non-native locally folded structures, but no well-defined hairpin or helix structures are formed. In 30% aqueous trifluoroethanol (TFE), the peptide corresponding to the alpha-helix adopts a high populated helical conformation three residues longer than in the protein. The hairpin peptides aggregate in TFE, and no significant conformational change occurs in the NMR observable fraction of molecules. These results indicate that the helical peptide has a significant intrinsic tendency to adopt its native structure and that the hairpin sequences seem to be selected as non-helical. This suggests that these sequences favor the structure finally attained in the protein, but the contribution of the local interactions alone is not enough to drive the formation of a detectable population of native secondary structures. This pattern of secondary structure tendencies is different to those observed in two structurally related proteins: ubiquitin and the protein G B1 domain. The only common feature is a certain propensity of the helical segments to form the native structure. These results indicate that for a protein to fold, there is no need for large native-like secondary structure propensities, although a minimum tendency to avoid non-native structures and to favor native ones could be required.     

Conformational features of a peptide model Ac-DTVKLMYKGQPMTFR-NH2, corresponding to an early folding beta hairpin region of staphylococcal nuclease.

Recent H-D exchange 1H NMR studies of the refolding of Staphylococcal nuclease (P117G) variant suggest that, a region of the protein corresponding to a beta hairpin in the native structure folded early in the refolding process. In order to investigate whether the formation of beta hairpin is an early folding event, we investigated the conformational features of the beta hairpin peptide model Ac-DTVKLMYKGQPMTFR-NH2 from Staphylococcal nuclease with 1H NMR techniques. It appears that the peptide aggregates even at a low concentration. However, based on the observation of weak dnn(i, i + 1) NOEs between K8-G9, G9-Q10, an upfield shift of Gly9 NH and a low temperature coefficient (-d delta/dT) for Gly9 NH, we suggest that the sequence YKGQP as part of the beta hairpin peptide model samples conformational forms with reduced conformational entropy and turn potential. The presence of aggregation could be restricting the population of folded conformational forms and formation of beta hairpin at detectable concentrations. We suggest that, formation of beta hairpin could be an early event in the folding of Staphylococcal nuclease and this observation correlates with H-D exchange 1H NMR results and also with the prediction of a protein folding model proposed in literature.     

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.