NMR characterizations of an amyloidogenic conformational ensemble of the PI3K SH3 domain

Amyloid formation is associated with structural changes of native polypeptides to monomeric intermediate states and their self-assembly into insoluble aggregates. Characterizations of the amyloidogenic intermediate state are, therefore, of great importance in understanding the early stage of amyloidogenesis. Here, we present NMR investigations of the structural and dynamic properties of the acid-unfolded amyloidogenic intermediate state of the phosphatidylinositol 3-kinase (PI3K) SH3 domain--a model peptide. The monomeric amyloidogenic state of the SH3 domain studied at pH 2.0 (35 degrees C) was shown to be substantially disordered with no secondary structural preferences. (15)N NMR relaxation experiments indicated that the unfolded polypeptide is highly flexible on a subnanosecond timescale when observed under the amyloidogenic condition (pH 2.0, 35 degrees C). However, more restricted motions were detected in residues located primarily in the beta-strands as well as in a loop in the native fold. In addition, nonnative long-range interactions were observed between the residues with the reduced flexibility by paramagnetic relaxation enhancement (PRE) experiments. These indicate that the acid-unfolded state of the SH3 domain adopts a partly folded conformation through nonnative long-range contacts between the dynamically restricted residues at the amyloid-forming condition.     

Nonnative helical motif in a chaperone-bound protein fragment

The effect of cotranslationally active chaperones on the conformation of incomplete protein chains is poorly understood. The secondary structure of a 77-residue chaperone-bound N-terminal protein fragment corresponding to the first five helices (A-E) of apomyoglobin (apoMb_1-77) is investigated here at the residue-specific level by multidimensional NMR. The substrate-binding domain of DnaK, DnaK-β, is employed as a chaperone model. By taking advantage of the improved spectral quality resulting from chaperone deuteration, we find that DnaK-β-bound apoMb_1-77 displays a region of nonnative helicity at residues away from the main chaperone binding site. The nonnative structural motif comprises portions of the native D and E helices and has similar characteristics to the reported nonnative DE helical region of acid-unfolded full-length apoMb. Upon incorporation of the missing C-terminal amino acids, a structural kink develops between residues 56 and 57, and two separate native D and E helices are generated. This work highlights, for the first time to our knowledge, the presence of a nonnative helical motif in a large chaperone-bound protein fragment under physiologically relevant solution conditions.     

Circular dichroic investigation of the native and non-native conformational states of the growth factor receptor-binding protein 2 N-terminal src homology domain 3: effect of binding to a proline-rich peptide from guanine nucleotide exchange factor

SH3 (src homology domain 3) domains are small protein modules that interact with proline-rich peptides. The structure of the N-terminal SH3 domain from growth factor receptor-binding protein 2 (Grb2), an adapter protein in the intracellular signaling pathway to Ras, was investigated by circular dichroic (CD) spectroscopy. The compact native beta-barrel conformation, previously elucidated by NMR spectroscopy, was largely predominant at pH = 4.8, in the absence of salt. From the structural changes induced by varying pH, ionic strength, temperature, or hydrophobicity of the environment, evidence for the existence of distinct nonnative conformations was obtained in the far- and near-UV domains. Along the free energy scale, these appear to distribute into two conformational ensembles, depending on the extent of structural and thermodynamic differences compared to the native conformation. The first ensemble consists of non-native conformations with a nativelike secondary structure, and the second is composed of partially unfolded conformations having short alpha-helical fragments or turnlike motifs in their nonnative secondary structure. Most of the observed nonnative conformations exist in mild or nondenaturing conditions. They probably have distinct compactness of their inner structure, depending on the strength of nonlocal interactions, but only the native all-beta conformation possesses a condensed protein exterior, appropriate for the binding to the VPPPVPPRRR decapeptide from Sos. Upon binding, the native conformation undergoes a local tertiary structure change in a hydrophobic pocket at the binding site. This is accompanied by the PP-II helix folding of the proline-rich peptide. Interestingly, in the near-UV domain, a significant change in the spectral contribution of an aromatic exciton was observed, thus allowing quantitative tracking of the binding process.     

Insights into Protein Aggregation by NMR Characterization of Insoluble SH3 Mutants Solubilized in Salt-Free Water

Protein aggregation in vivo has been extensively associated with a large spectrum of human diseases. On the other hand, mechanistic insights into protein aggregation in vitro were incomplete due to the inability in solubilizing insoluble proteins for high-resolution biophysical investigations. However, a new avenue may be opened up by our recent discovery that previously-thought insoluble proteins can in fact be solubilized in salt-free water. Here we use this approach to study the NMR structural and dynamic properties of an insoluble SH3 mutant with a naturally-occurring insertion of Val22 at the tip of the diverging turn. The obtained results reveal: 1) regardless of whether the residue is Val, Ala, Asp or Arg, the insertion will render the first hNck2 SH3 domain to be insoluble in buffers. Nevertheless, all four mutants could be solubilized in salt-free water and appear to be largely unfolded as evident from their CD and NMR HSQC spectra. 2) Comparison of the chemical shift deviations reveals that while in V22-SH3 the second helical region is similarly populated as in the wild-type SH3 at pH 2.0, the first helical region is largely unformed. 3) In V22-SH3, many non-native medium-range NOEs manifest to define non-native helical conformations. In the meanwhile a small group of native-like long-range NOEs still persists, indicating the existence of a rudimentary native-like tertiary topology. 4) Although overall, V22-SH3 has significantly increased backbone motions on the ps-ns time scale, some regions still own restricted backbone motions as revealed by analyzing ¹⁵N relaxation data. Our study not only leads to the establishment of the first high-resolution structural and dynamic picture for an insoluble protein, but also shed more light on the molecular events for the nonhierarchical folding mechanism. Furthermore, a general mechanism is also proposed for in vivo protein aggregation triggered by the genetic mutation and posttranslational modification.     

Hexafluoroisopropanol-induced helix–sheet transition of stem bromelain: Correlation to function

Stem bromelain is a proteolytic phytoprotein with a variety of therapeutic effects. Understanding its structural properties could provide insight into the mechanisms underlying its clinical utility. Stem bromelain was evaluated for its conformational and folding properties at the pH conditions it encounters when administered orally. It exists as a partially folded intermediate at pH 2.0. The conformational changes to this intermediate state were evaluated using fluorinated alcohols known to induce changes similar to those seen in vivo. Studies using circular dichroism, fluorescence emission spectroscopy, binding of the hydrophobic dye 1-anilino-8-naphthalene sulfonic acid and mass spectrometry indicate that treatment with 10–30% hexafluoroisopropanol induces the partially folded intermediate to adopt much of the native protein's secondary structure, but only a rudimentary tertiary structure, characteristic of the molten globule state. Addition of slightly higher concentrations of hexafluoroisopropanol caused transformation from an α-helix to a β-sheet and induced formation of a compact nonnative structure. This nonnative form was more inhibitory of cell survival than either the native or the partially folded intermediate forms, as measured by enhanced suppression of proliferative cues (e.g., extracellular-signal-regulated kinase) and initiation of apoptotic events. The nonnative form also showed better antitumorigenic properties, as evaluated using an induced two-stage mouse skin papilloma model. In contrast, the nonnative state showed only a fraction of the proteolytic activity of the native form. This study demonstrates that hexafluoroisopropanol can induce a conformational change in stem bromelain to a form with potentially useful therapeutic properties different from those of the native protein.     

Extended Structures in RNA Folding Intermediates Are Due to Nonnative Interactions Rather than Electrostatic Repulsion

RNA folding occurs via a series of transitions between metastable intermediate states for Mg²⁺ concentrations below those needed to fold the native structure. In general, these folding intermediates are considerably less compact than their respective native states. Our previous work demonstrates that the major equilibrium intermediate of the 154-residue specificity domain (S-domain) of the Bacillus subtilis RNase P RNA is more extended than its native structure. We now investigate two models with falsifiable predictions regarding the origins of the extended intermediate structures in the S-domains of the B. subtilis and the Escherichia coli RNase P RNA that belong to different classes of P RNA and have distinct native structures. The first model explores the contribution of electrostatic repulsion, while the second model probes specific interactions in the core of the folding intermediate. Using small-angle X-ray scattering and Langevin dynamics simulations, we show that electrostatics plays only a minor role, whereas specific interactions largely account for the extended nature of the intermediate. Structural contacts in the core, including a nonnative base pair, help to stabilize the intermediate conformation. We conclude that RNA folding intermediates adopt extended conformations due to short-range, nonnative interactions rather than generic electrostatic repulsion of helical domains. These principles apply to other ribozymes and riboswitches that undergo functionally relevant conformational changes.     

Propensity to Form Amyloid Fibrils Is Encoded as Excitations in the Free Energy Landscape of Monomeric Proteins

Protein aggregation, linked to many of diseases, is initiated when monomers access rogue conformations that are poised to form amyloid fibrils. We show, using simulations of src SH3 domain, that mechanical force enhances the population of the aggregation-prone (N^?) states, which are rarely populated under force free native conditions but are encoded in the spectrum of native fluctuations. The folding phase diagrams of SH3 as a function of denaturant concentration ([C]), mechanical force (f), and temperature exhibit an apparent two-state behavior, without revealing the presence of the elusive N^? states. Interestingly, the phase boundaries separating the folded and unfolded states at all [C] and f fall on a master curve, which can be quantitatively described using an analogy to superconductors in a magnetic field. The free energy profiles as a function of the molecular extension (R), which are accessible in pulling experiments, (R), reveal the presence of a native-like N^? with a disordered solvent-exposed amino-terminal β-strand. The structure of the N^? state is identical with that found in Fyn SH3 by NMR dispersion experiments. We show that the timescale for fibril formation can be estimated from the population of the N^? state, determined by the free energy gap separating the native structure and the N^? state, a finding that can be used to assess fibril forming tendencies of proteins. The structures of the N^? state are used to show that oligomer formation and likely route to fibrils occur by a domain-swap mechanism in SH3 domain.     

Molecular dynamics simulations of a highly charged peptide from an SH3 domain: possible sequence-function relationship

A seven-residue peptide that is highly conserved in SH3 domains despite being far from the active site has been shown by NMR to be stable in solution. This peptide, biologically important because it is a likely folding nucleus for SH3 domains, provides a challenging subject for molecular dynamics because it is highly charged. We present stable, 10-ns simulations of both the native-like diverging turn structure and a helical model. Free energies of these two conformations, estimated through MM-PBSA analysis using several force fields, suggest a comparable free energy (DeltaDeltaG < or =6 kcal/mol) for native and helix conformations. NOE intensities calculated from the native trajectory reproduce experimental data quite well, suggesting that the conformations sampled by the trajectory reasonably represent those observed in the NMR experiment. The molecular dynamics results, as well as sequence analysis of a diverse 690-member family of SH3 domain proteins, suggest that the presence of two elements is essential for formation of the diverging turn structure: a pair of residues with low helical propensity in the turn region and, as previously recognized, two hydrophobic residues to close the end of the diverging turn. Thus, these two sequence features may form the structural basis for the function of this peptide as a folding nucleus in this family of proteins.     

Characterization of amyloidogenic intermediate states through a combined use of CD and NMR spectroscopy

Characterization of amyloidogenic intermediate states is of central importance in understanding the molecular mechanism of amyloid formation. In this study, we utilized CD and NMR spectroscopy to investigate secondary structure of the monomeric amyloidogenic intermediate of a β-structured SH3 domain, which was induced by trifluoroethanol (TFE). The combined biophysical studies showed that the native state SH3 domain is gradually converted to the amyloidogenic intermediate state at TFE concentrations of 20-26% (v/v) and the aggregation-prone state contains substantial amount of the β-sheet conformation (∼ 30%) with disordered (54%) and some helical characters (16%). Under weaker amyloidogenic conditions of higher TFE concentrations (> 40%), the β-sheet structures were gradually changed to helical conformations and the relative content of the helical and β-sheet conformations was highly correlated with the aggregation propensity of the SH3 domain. This indicates that the β-sheet characters of the amyloidogenic states may be critical to the effective amyloid formation.     

Native and nonnative conformational preferences in the urea-unfolded state of barstar

The refolding of barstar from its urea-unfolded state has been studied extensively using various spectroscopic probes and real-time NMR, which provide global and residue-specific information, respectively, about the folding process. Here, a preliminary structural characterization by NMR of barstar in 8 M urea has been carried out at pH 6.5 and 25 degrees C. Complete backbone resonance assignments of the urea-unfolded protein were obtained using the recently developed three-dimensional NMR techniques of HNN and HN(C)N. The conformational propensities of the polypeptide backbone in the presence of 8 M urea have been estimated by examining deviations of secondary chemical shifts from random coil values. For some residues that belong to helices in native barstar, 13C(alpha) and 13CO secondary shifts show positive deviations in the urea-unfolded state, indicating that these residues have propensities toward helical conformations. These residues are, however, juxtaposed by residues that display negative deviations indicative of propensities toward extended conformations. Thus, segments that are helical in native barstar are unlikely to preferentially populate the helical conformation in the unfolded state. Similarly, residues belonging to beta-strands 1 and 2 of native barstar do not appear to show any conformational preferences in the unfolded state. On the other hand, residues belonging to the beta-strand 3 segment show weak nonnative helical conformational preferences in the unfolded state, indicating that this segment may possess a weak preference for populating a helical conformation in the unfolded state.     

Crystal Structure of P13K SH3 Domain at 2.0 Å Resolution

The P13K SH3 domain, residues 1 to 85 of the P1 – 3 kinase p85 subunit, has been characterized by X-ray diffraction. Crystals belonging to space groupP4₃2₁2 diffract to 2.0 Å resolution and the structure was phased by single isomorphous replacement and anomalous scattering (SIRAS). As expected, the domain is a compact β barrel with an over-all conformation very similar to the independently determined NMR structures. The X-ray structure illuminates a discrepancy between the two NMR structures on the conformation of the loop region unique to P13K SH3. Furthermore, the ligand binding pockets of P13K SH3 domain are occupied by amino acid residues from symmetry-related P13K SH3 molecules: the C-terminal residues I(82) SPP of one and R18 of another. The interaction modes clearly resemble those observed for the P13K SH3 domain complexed with the synthetic peptide RLP1, a class 1 ligand, although there are significant differences. The solid-state interactions suggest a model of protein – protein aggregation that could be mediated by SH3 domains.     

NMR analysis of partially folded states and persistent structure in the alpha subunit of tryptophan synthase: implications for the equilibrium folding mechanism of a 29-kDa TIM barrel protein

Structural insights into the equilibrium folding mechanism of the alpha subunit of tryptophan synthase (αTS) from Escherichia coli, a (βα)₈ TIM barrel protein, were obtained with a pair of complementary nuclear magnetic resonance (NMR) spectroscopic techniques. The secondary structures of rare high-energy partially folded states were probed by native-state hydrogen-exchange NMR analysis of main-chain amide hydrogens. 2D heteronuclear single quantum coherence NMR analysis of several ¹⁵N-labeled nonpolar amino acids was used to probe the side chains involved in stabilizing a highly denatured intermediate that is devoid of secondary structure. The dynamic broadening of a subset of isoleucine and leucine side chains and the absence of protection against exchange showed that the highest energy folded state on the free-energy landscape is stabilized by a hydrophobic cluster lacking stable secondary structure. The core of this cluster, centered near the N-terminus of αTS, serves as a nucleus for the stabilization of what appears to be nonnative secondary structure in a marginally stable intermediate. The progressive decrease in protection against exchange from this nucleus toward both termini and from the N-termini to the C-termini of several β-strands is best described by an ensemble of weakly coupled conformers. Comparison with previous data strongly suggests that this ensemble corresponds to a marginally stable off-pathway intermediate that arises in the first few milliseconds of folding and persists under equilibrium conditions. A second, more stable intermediate, which has an intact β-barrel and a frayed α-helical shell, coexists with this marginally stable species. The conversion of the more stable intermediate to the native state of αTS entails the formation of a stable helical shell and completes the acquisition of the tertiary structure.     

Armadillo-like helical domain containing-4 is dynamically expressed in both the first and second heart fields

Armadillo repeat and Armadillo-like helical domain containing proteins form a large family with diverse and fundamental functions in many eukaryotes. Herein we investigated the spatiotemporal expression pattern of Armadillo-like helical domain containing 4 (or Armh4) as an uncharacterized protein coding mouse gene, within the mouse embryo during the initial stages of heart morphogenesis. We found Armh4 is initially expressed in both first heart field as well as the second heart field progenitors and subsequently within predominantly their cardiomyocyte derivatives. Armh4 expression is initially cardiac-restricted in the developing embryo and is expressed in second heart field subpharyngeal mesoderm prior to cardiomyocyte differentiation, but Armh4 diminishes as the embryonic heart matures into the fetal heart. Armh4 is subsequently expressed in craniofacial structures and neural crest-derived dorsal root and trigeminal ganglia. Whereas lithium chloride-induced stimulation of Wnt/β-catenin signaling elevated Armh4 expression in both second heart field subpharyngeal mesodermal progenitors and outflow tract, right ventricle and atrial cardiomyocytes, neither a systemic loss of Islet-1 nor an absence of cardiac neural crest cells had any effect upon Armh4 expression. These results confirm that Wnt/β-catenin-responsive Armh4 is a useful specific biomarker of the FHF and SHF cardiomyocyte derivatives only.     

Cooperative assembly of a nativelike ubiquitin structure through peptide fragment complexation: energetics of peptide association and folding

Peptide fragments corresponding to the N- and C-terminal portions of bovine ubiquitin, U(1-35) and U(36-76), are shown by NMR to associate in solution to form a complex of modest stability (Kassn approximately 1.4 x 10(5) M(-1) at pH 7.0), with NMR features characteristic of a nativelike structure. The complex undergoes cold denaturation, with temperature-dependent estimates of stability from NMR indicating a DeltaC(p) degrees for fragment complexation in good agreement with that determined for native ubiquitin, suggesting that fragment association results in the burial of a similar hydrophobic surface area. The stability of the complex shows appreciable pH dependence, suggesting that ionic interactions on the surface of the protein contribute significantly. However, denaturation studies of native ubiquitin in the presence of guanidine hydrochloride (Gdn.HCl) show little pH dependence, suggesting that ionic interactions may be "screened" by the denaturant, as recently suggested. Examination of the conformation of the isolated peptide fragments has shown evidence for a low population of nativelike structure in the N-terminal beta-hairpin (residues 1-17) and weak nascent helical propensity in the helical fragment (residues 21-35). In contrast, the C-terminal peptide (36-76) shows evidence in aqueous solution, from some Halpha chemical shifts, for nonnative phi and psi angles; nonnative alpha-helical structure is readily induced in the presence of organic cosolvents, indicating that tertiary interactions in both native ubiquitin and the folded fragment complex strongly dictate its structural preference. The data suggest that the N-terminal fragment (1-35), where interaction between the helix and hairpin requires the minimum loss of conformational entropy, may provide the nucleation site for fragment complexation.     

The low-pH unfolded state of the C-terminal domain of the ribosomal protein L9 contains significant secondary structure in the absence of denaturant but is no more compact than the low-pH urea unfolded state

There is considerable interest in the properties of the unfolded states of proteins, particularly unfolded states which can be populated in the absence of high concentrations of denaturants. Interest in the unfolded state ensemble reflects the fact that it is the starting point for protein folding as well as the reference state for protein stability studies and can be the starting state for pathological aggregation. The unfolded state of the C-terminal domain (residues 58-149) of the ribosomal protein L9 (CTL9) can be populated in the absence of denaturant at low pH. CTL9 is a 92-residue globular alpha, beta protein. The low-pH unfolded state contains more secondary structure than the low-pH urea unfolded state, but it is not a molten globule. Backbone ( (1)H, (13)C, and (15)N) NMR assignments as well as side chain (13)C beta and (1)H beta assignments and (15)N R 2 values were obtained for the pH 2.0 unfolded form of CTL9 and for the urea unfolded state at pH 2.5. Analysis of the deviations of the chemical shifts from random coil values indicates that residues that comprise the two helices in the native state show a clear preference for adopting helical phi and psi angles in the pH 2.0 unfolded state. There is a less pronounced but nevertheless clear tendency for residues 107-124 to preferentially populate helical phi and psi values in the unfolded state. The urea unfolded state has no detectable tendency to populate any type of secondary structure even though it is as compact as the pH 2.0 unfolded state. Comparison of the two unfolded forms of CTL9 provides direct experimental evidence that states which differ significantly in their secondary structure can have identical hydrodynamic properties. This in turn demonstrates that global parameters such as R h or R g are very poor indicators of "random coil" behavior.     

Monomeric Banana Lectin at Acidic pH Overrules Conformational Stability of Its Native Dimeric Form

Banana lectin (BL) is a homodimeric protein categorized among jacalin-related family of lectins. The effect of acidic pH was examined on conformational stability of BL by using circular dichroism, intrinsic fluorescence, 1-anilino-8-napthalene sulfonate (ANS) binding, size exclusion chromatography (SEC) and dynamic light scattering (DLS). During acid denaturation of BL, the monomerization of native dimeric protein was found at pH 2.0. The elution profile from SEC showed two different peaks (59.65 ml & 87.98 ml) at pH 2.0 while single peak (61.45 ml) at pH 7.4. The hydrodynamic radii (R _h) of native BL was 2.9 nm while at pH 2.0 two species were found with R _h of 1.7 and 3.7 nm. Furthermore at, pH 2.0 the secondary structures of BL remained unaltered while tertiary structure was significantly disrupted with the exposure of hydrophobic clusters confirming the existence of molten globule like state. The unfolding of BL with different subunit status was further evaluated by urea and temperature mediated denaturation to check their stability. As inferred from high C_m and ΔG values, the monomeric form of BL offers more resistance towards chemical denaturation than the native dimeric form. Besides, dimeric BL exhibited a Tm of 77°C while no loss in secondary structures was observed in monomers even up to 95°C. To the best of our knowledge, this is the first report on monomeric subunit of lectins showing more stability against denaturants than its native dimeric state.     

Solution structure of N-terminal SH3 domain of Vav and the recognition site for Grb2 C-terminal SH3 domain

The three-dimensional structure of the N-terminal SH3 domain (residues 583–660) of murine Vav, which contains a tetra-proline sequence (Pro 607-Pro 610), was determined by NMR. The solution structure of the SH3 domain shows a typical SH3 fold, but it exists in two conformations due to cis-trans isomerization at the Gly614-Pro615 bond. The NMR structure of the P615G mutant, where Pro615 is replaced by glycine, reveals that the tetra-proline region is inserted into the RT-loop and binds to its own SH3 structure. The C-terminal SH3 domain of Grb2 specifically binds to the trans form of the N-terminal SH3 domain of Vav. The surface of Vav N-terminal SH3 which binds to Grb2 C-terminal SH3 was elucidated by chemical shift mapping experiments using NMR. The surface does not involve the tetra-proline region but involves the region comprising the n-src loop, the N-terminal and the C-terminal regions. This surface is located opposite to the tetra-proline containing region, consistent with that of our previous mutagenesis studies.     

Dissecting the Alternatively Folded State of the Antibody Fab Fragment

Intact antibodies and antigen binding fragments (Fab) have been previously shown to form an alternatively folded state (AFS) at low pH. This state consists primarily of secondary structure interactions, with reduced tertiary structure content. The AFS can be distinguished from the molten globule state by the formation of nonnative structure and, in particular, its high stability. In this study, the isolated domains of the MAK33 (murine monoclonal antibody of the subtype κ/IgG1) Fab fragment were investigated under conditions that have been reported to induce the AFS. Surprising differences in the ability of individual domains to form the AFS were observed, despite the similarities in their native structures. All Fab domains were able to adopt the AFS, but only for V_H (variable domain of the heavy chain) could a significant amount of tertiary structure be detected and different conditions were needed to induce the AFS. V_H, the least stable of the domains under physiological conditions, was the most stable in the AFS, yet all domains showed significant stability against thermal and chemical unfolding in their AFS. Formation of the AFS was found to generally proceed via the unfolded state, with similar rates for most of the domains. Taken together, our data reveal striking differences in the biophysical properties of the AFS of individual antibody domains that reflect the variation possible for domains of highly homologous native structures. Furthermore, they allow individual domain contributions to be dissected from specific oligomer effects in the AFS of the antibody Fab fragment.     

Transition states in protein folding kinetics: modeling phi-values of small beta-sheet proteins

Small single-domain proteins often exhibit only a single free-energy barrier, or transition state, between the denatured and the native state. The folding kinetics of these proteins is usually explored via mutational analysis. A central question is which structural information on the transition state can be derived from the mutational data. In this article, we model and structurally interpret mutational Φ-values for two small β-sheet proteins, the PIN and the FBP WW domains. The native structure of these WW domains comprises two β-hairpins that form a three-stranded β-sheet. In our model, we assume that the transition state consists of two conformations in which either one of the hairpins is formed. Such a transition state has been recently observed in molecular dynamics folding-unfolding simulations of a small designed three-stranded β-sheet protein. We obtain good agreement with the experimental data 1), by splitting up the mutation-induced free-energy changes into terms for the two hairpins and for the small hydrophobic core of the proteins; and 2), by fitting a single parameter, the relative degree to which hairpins 1 and 2 are formed in the transition state. The model helps us to understand how mutations affect the folding kinetics of WW domains, and captures also negative Φ-values that have been difficult to interpret.