Assessing native and non-native conformational states of a protein by methylene carbene labeling: the case of Bacillus licheniformis beta-lactamase

Much knowledge of protein folding can be derived from the examination of the nature and size of solvent-exposed surfaces along conformational transitions. We exploit here a general photochemical modification with methylene carbene of the accessible surface area (ASA) of the polypeptide chain. Labeling of Bacillus licheniformis beta-lactamase (BL-betaL) with 1 mM 3H-diazirine yielded 8.3 x 10(-3) mol CH2/mol protein, in agreement with the prediction for an unspecific surface labeling phenomenon. The unfolded state U in 7 M urea was labeled 60% more than the native state N. This result lies well below the increment of ASA expected from theoretical estimates and points to the presence of residual organization in state U and/or of cavities or crevices favoring the partition of the reagent in state N. A partially folded state I was demonstrated from two sequential transitions occurring at 1.5-3.0 M and 3.5-6.5 M urea. This technique shows a close correlation with optical probes most sensitive to changes in tertiary structure, a statement supported by the fact that the largest change occurs along the N-I portion of the N-I-U transition and along the acid pH-induced N-A transition. In the latter case, state A is labeled 70% more than state N, an increment consistent with the loosening of tight interactions in the core of the protein. Fragmentation of labeled BL-betaL into peptides provides a sequential map of solvent accessibility. Thus, amino acid residues pertaining to the Omega-loop and to helices alpha5 and alpha6 line the major cavity of the protein, that is big enough to lodge the diazirine reagent. Methylene labeling, by introducing an original (and perhaps unique) experimental measurement of ASA, enlightens subtle aspects of complex transitions and makes possible a comparative structural characterization of the native as well as non-native states.     

Experimentally Approaching the Solvent-Accessible Surface Area of a Protein: Insights into the Acid Molten Globule of Bovine α-Lactalbumin

Each conformational state of a protein is inextricably related to a defined extent of solvent exposure that plays a key role in protein folding and protein interactions. However, accurate measurement of the solvent-accessible surface area (ASA) is difficult for any state other than the native (N) state. We address this fundamental physicochemical parameter through a new experimental approach based on the reaction of the photochemical reagent diazirine (DZN) with the polypeptide chain. By virtue of its size, DZN is a reasonable molecular mimic of aqueous solvent. Here, we structurally characterize nonnative states of the paradigmatic protein α-lactalbumin. Covalent tagging resulting from unspecific methylene (:CH₂) reaction allows one to obtain a global estimate of ASA and to map out solvent accessibility along the amino acid sequence. By its mild apolar nature, DZN also reveals a hydrophobic phase in the acid-stabilized state of α-lactalbumin, in which there is clustering of core residues accessible to the solvent. In a fashion reminiscent of the N state, this acid-stabilized state also exhibits local regions where increased :CH₂ labeling indicates its nonhomogenous nature, likely pointing to the existence of packing defects. By contrast, the virtual absence of a defined long-range organization brings about a featureless labeling pattern for the unfolded state. Overall, :CH₂ labeling emerges as a fruitful technique that is able to quantify the ASA of the polypeptide chain, thus probing conformational features such as the outer exposed surface and inner cavities, as well as revealing the existence of noncompact apolar phases in nonnative states.     

Structural characterisation of the human alpha-lactalbumin molten globule at high temperature

Molten globules are partially folded forms of proteins thought to be general intermediates in protein folding. The 15N-1H HSQC NMR spectrum of the human alpha-lactalbumin (alpha-LA) molten globule at pH 2 and 20 degrees C is characterised by broad lines which make direct study by NMR methods difficult; this broadening arises from conformational fluctuations throughout the protein on a millisecond to microsecond timescale. Here, we find that an increase in temperature to 50 degrees C leads to a dramatic sharpening of peaks in the 15N-1H HSQC spectrum of human alpha-LA at pH 2. Far-UV CD and ANS fluorescence experiments demonstrate that under these conditions human alpha-LA maintains a high degree of helical secondary structure and the exposed hydrophobic surfaces that are characteristic of a molten globule. Analysis of the H(alpha), H(N) and 15N chemical shifts of the human alpha-LA molten globule at 50 degrees C leads to the identification of regions of native-like helix in the alpha-domain and of non-native helical propensity in the beta-domain. The latter may be responsible for the observed overshoot in ellipticity at 222 nm in kinetic refolding experiments.     

Side chain accessibility and dynamics in the molten globule state of alpha-lactalbumin: a (19)F-NMR study

The molten globule state of alpha-lactalbumin (alpha-LA) has been considered a prototype of partially folded proteins. Despite the importance of molten globules in understanding the mechanisms of protein folding and its relevance to some biological phenomena, site-specific information on the structure and dynamics of a molten globule is limited, largely because of the high conformational flexibility and heterogeneity. Here, we use selective isotope labeling and (19)F NMR to investigate the solvent accessibility and side-chain dynamics of aromatic residues in the molten globule of alpha-LA. Comparison of these properties with those of the native and unfolded protein indicates that the alpha-LA molten globule is highly heterogeneous; each residue has its unique solvent accessibility and motional environment. Many aromatic residues normally buried in the interior of native alpha-LA remain significantly buried in the molten globule and the side-chain dynamics of these residues are highly restricted. Our results suggest that hydrophobic and van der Waals interactions mediated by the inaccessible surface area could be sufficient to account for all the stability of the alpha-LA molten globule, which is approximately 50% of the value for the native protein.     

Two steps in the transition between the native and acid states of bovine α-lactalbumin detected by circular polarization of luminescence: Evidence for a premolten globule state?

A few studies indirectly support the existence of an intermediate in the transition of Ca(2+)-saturated bovine alpha-lactalbumin (alpha-LA) from the native (N) to the acidic (A) state, known as the molten globule state. However, direct experimental evidence for the appearance of this intermediate has not been obtained. The signal of circular polarization of luminescence (CPL) is sensitive to fine conformational transitions because of its susceptibility to changes in the environmental asymmetry of fluorescent chromophores in their excited electronic states. In the present study, CPL measurements were applied using the intrinsic tryptophan fluorescence of alpha-LA as well as the fluorescence of 8-anilino-1-naphthalenesulfonic acid (ANS) bound to alpha-LA. CPL of tryptophan and ANS was measured in the pH range of 2.5-6 in order to find direct experimental evidence for the proposed intermediate. CPL (characterized by the emission anisotropy factor, g(em)) depends on the asymmetry of the protein molecular structure in the environment of the tryptophan and the ANS chromophores in the excited electronic state. The pH dependence of both the gab, absorption anisotropy factor determined by CD, and the ANS steady state fluorescence, showed a single transition at pH 3-3.7 as already reported elsewhere. This transition was interpreted as being a result of a change of the alpha-LA tertiary structure, which resulted in a loss of asymmetry of the environment of both the tryptophan residues and the ANS hydrophobic binding sites. The pH dependence of the tryptophan and ANS g(em) showed an additional conformational transition at pH 4-5, which coincided with the pKa of Ca2+ dissociation (pKa 5), as predicted by Permyakov et al. (1981, Biochem Biophys Res Commun 100:191-197). The titration curve showed that there is a pH range between 3.7 and 4.1 in which alpha-LA exists in an intermediate state between the N- and A-state. We suggest that the intermediate is the premolten globule state characterized by a reduced Ca2+ binding to the alpha-LA, native-like tertiary structure, and reduced asymmetric fluctuation of the tertiary structure on the nanosecond time scale. This intermediate resembles the "critical activated state" theoretically deduced by Kuwajima et al. (1989, J Mol Biol 206:547-561). The present study demonstrates the power of CPL measurements for the investigation of folding/unfolding transitions in proteins.     

Exploring protein interfaces with a general photochemical reagent

Protein folding, natural conformational changes, or interaction between partners involved in recognition phenomena brings about differences in the solvent-accessible surface area (SASA) of the polypeptide chain. This primary event can be monitored by the differential chemical reactivity of functional groups along the protein sequence. Diazirine (DZN), a photoreactive gas similar in size to water, generates methylene carbene (:CH(2)). The extreme chemical reactivity of this species allows the almost instantaneous and indiscriminate modification of its immediate molecular cage. (3)H-DZN was successfully used in our laboratory for studying protein structure and folding. Here we address for the first time the usefulness of this probe to examine the area of interaction in protein-protein complexes. For this purpose we chose the complex formed between hen egg white lysozyme (HEWL) and the monoclonal antibody IgG(1) D1.3. :CH(2) labeling of free HEWL or complexed with IgG(1) D1.3 yields 2.76 and 2.32 mmol CH(2) per mole protein at 1 mM DZN concentration, respectively. This reduction (15%) becomes consistent with the expected decrement in the SASA of HEWL occurring upon complexation derived from crystallographic data (11%), in agreement with the known unspecific surface labeling reaction of :CH(2). Further comparative analysis at the level of tryptic peptides led to the identification of the sites involved in the interaction. Remarkably, those peptides implicated in the contact area show the highest differential labeling: H(15)GLDNYR(21), G(117)TDVQAWIR(125), andG(22)YSLGNWVCAAK(33). Thus, protein footprinting with DZN emerges as a feasible methodology useful for mapping contact regions of protein domains involved in macromolecular assemblies.     

Limited proteolysis of bovine alpha-lactalbumin: isolation and characterization of protein domains

The partly folded states of alpha-lactalbumin (alpha-LA) exposed to acid solution at pH 2.0 (A-state) or at neutral pH upon EDTA-mediated removal of the single protein-bound calcium ion (apo form) have been probed by limited proteolysis experiments. These states are nowadays commonly considered to be molten globules and thus protein-folding intermediates. Pepsin was used for proteolysis at acid pH, while proteinase K and chymotrypsin at neutral pH. The expectations were that these proteolytic probes would detect sites and/or chain regions in the partly folded states of alpha-LA sufficiently dynamic, or even unfolded, capable of binding and adaptation to the specific stereochemistry of the protease's active site. A time-course analysis of the proteolytic events revealed that the fast, initial proteolytic cuts of the 123-residue chain of alpha-LA in its A-state or apo form by the three proteases occur at the same chain region 39-54, the actual site(s) of cleavage depending upon the protease employed. This region in native alpha-LA encompasses the beta-sheets of the protein. Subsequent cleavages occur mostly at chain regions 31-35 and 95-105. Four fragment species of alpha-LA have been isolated by reverse-phase high-performance liquid chromatography, and their conformational properties examined by circular dichroism and fluorescence emission spectroscopy. The single chain fragment 53-103, containing all the binding sites for calcium in native alpha-LA and cross-linked by two disulfide bridges, maintains in aqueous buffer and in the presence of calcium ions a folded structure characterized by the same content of alpha-helix of the corresponding chain segment in native alpha-LA. Evidence for some structure was also obtained for the two-chain species 1-40 and 104-123, as well as 1-31 and 105-123, both systems being covalently linked by two disulfide bonds. In contrast, the protein species given by fragment 1-34 connected to fragment 54-123 or 57-123 via four disulfide bridges adopts in solution a folded structure with the helical content expected for a native-like conformation. Of interest, the proteolytic fragment species herewith isolated correspond to the structural domains and subdomains of alpha-LA that can be identified by computational analysis of the three-dimensional structure of native alpha-LA (Siddiqui AS, Barton GI, 1995, Protein Sci 4:872-884). The fast, initial cleavages at the level of the beta-sheet region of native alpha-LA indicate that this region is highly mobile or even unfolded in the alpha-LA molten globule(s), while the rest of the protein chain maintains sufficient structure and rigidity to prevent extensive proteolysis. The subsequent cleavages at chain segment 95-105 indicate that also this region is somewhat mobile in the A-state or apo form of the protein. It is concluded that the overall domain topology of native alpha-LA is maintained in acid or at neutral pH upon calcium depletion. Moreover, the molecular properties of the partly folded states of alpha-LA deduced here from proteolysis experiments do correlate with those derived from previous NMR and other physicochemical measurements.     

Local and global cooperativity in the human alpha-lactalbumin molten globule

NMR spectroscopy has been used to follow the urea-induced unfolding of the low pH molten globule states of a single-disulfide variant of human alpha-lactalbumin ([28-111] alpha-LA) and of two mutants, each with a single proline substitution in a helix. [28-111] alpha-LA forms a molten globule very similar to that formed by the wild-type four-disulfide protein, and this variant has been used as a model for the alpha-lactalbumin (alpha-LA) molten globule in a number of studies. The urea-induced unfolding behavior of [28-111] alpha-LA is similar to that of the four-disulfide form of the protein, except that [28-111] alpha-LA is less stable and has greater cooperativity in the loss of different elements of structure. For one mutant, L11P, the helix containing the mutation is highly destabilized such that it is completely unfolded even in the absence of urea. By contrast, for the other mutant, Q117P, the helix containing the mutation retains its compact structure. Both mutations, however, show significant long-range destabilization of the overall fold showing that the molten globule state has a degree of global cooperativity. The results reveal that different permutations of three of the four major alpha-helices of the protein can form a stable, locally cooperative, compact structural core. Taken together, these findings demonstrate that the molten globule state of alpha-LA is an ensemble of conformations, with different subsets of structures linked by a range of long-range interactions.     

A model of dynamic side-chain--side-chain interactions in the alpha-lactalbumin molten globule

Proteins in the molten globule state contain high levels of secondary structure, as well as a rudimentary, nativelike tertiary topology. Thus, the structural similarity between the molten globule and native proteins may have a significant bearing in understanding the protein-folding problem. To explore the nature of side-chain--side-chain interactions in the alpha-lactalbumin (alpha-LA) molten globule, we determined the effective concentration for formation of the 28--111 disulfide bond in 14 double-mutant proteins, each containing two hydrophobic core residues replaced by alanine. We compared our results with those of single-alanine substitutions using the framework of double-mutant cycle analysis and found that, in the majority of cases, the effects of two alanine substitutions are additive. Based on these results, we propose a model of side-chain-side-chain interactions in the alpha-LA molten globule, which takes into consideration the dynamic nature of this partially folded species.     

Stepwise proteolytic removal of the beta subdomain in alpha-lactalbumin. The protein remains folded and can form the molten globule in acid solution.

Bovine alpha-lactalbumin (alpha-LA) is an alpha/beta protein which adopts partly folded states when dissolved at low pH (A-state), by removal of the protein-bound calcium at neutral pH and low salt concentration (apo-state), as well as in aqueous trifluoroethanol. Previous spectroscopic studies have indicated that the A-state of alpha-LA at pH 2.0, considered a prototype molten globule, has a native-like fold in which the helical core is mostly retained, while the beta subdomain is less structured. Here, we investigate the conformational features of three derivatives of alpha-LA characterized by a single peptide bond fission or a deletion of 12 or 19/22 amino-acid residues of the beta subdomain of the native protein (approximately from residue 34 to 57). These alpha-LA derivatives were obtained by limited proteolysis of the protein in its partly folded state(s). A nicked alpha-LA species consisting of fragments 1-,3-40 and 41-123 (nicked-LA) was prepared by thermolytic digestion of the 123-residue chain of alpha-LA in 50% (v/v) aqueous trifluoroethanol. Two truncated or gapped protein species given by fragments 1-40 and 53-123 (desbeta1-LA) or fragments 1-34 and 54-,57-123 (desbeta2-LA) were obtained by digestion of alpha-LA with pepsin in acid or with proteinase K at neutral pH in its apo-state, respectively. The two protein fragments of nicked or gapped alpha-LA are covalently linked by the four disulfide bridges of the native protein. CD measurements revealed that, in aqueous solution at neutral pH and in the presence of calcium, the three protein species maintain the helical secondary structure of intact alpha-LA, while the tertiary structure is strongly affected by the proteolytic cleavages of the chain. Temperature effects of CD signals in the far- and near-UV region reveal a much more labile tertiary structure in the alpha-LA derivatives, while the secondary structure is mostly retained even upon heating. In acid solution at pH 2.0, the three alpha-LA variants adopt a conformational state essentially identical to the molten globule displayed by intact alpha-LA, as demonstrated by CD measurements. Moreover, they bind strongly the fluorescent dye 8-anilinonaphthalene-1-sulfonate, which is considered a diagnostic feature of the molten globule of proteins. Therefore, the beta subdomain can be removed from the alpha-LA molecule without impairing the capability of the rest of the chain to adopt a molten globule state. The results of this protein dissection study provide direct experimental evidence that in the alpha-LA molten globule only the alpha domain is structured.     

Studies on cell-clearing activity in alpha-lactalbumin. Effects of calcium removal on activity and conformation.

Effects of calcium removal on the cell-clearing activity of alpha-lactalbumin (alpha-LA) and concomitant changes in conformational structure have been investigated as part of a continuing study of the activity found earlier [McKenzie, H.A. & White, F.H., Jr. (1987) Biochem. Int. 14, 347]. This activity is similar to that of lysozyme, whereby lysis of the bacterial cell wall is catalyzed. However, the specific activity of alpha-LA is on the order of 10(-6) that of lysozyme. Under conditions where activities of apo and native alpha-LA were approximately linear functions of the protein concentration, the maximal ratio of apo to native activity was 5.7:1, determined by comparison of second order velocity constants. The CD spectrum of apo alpha-LA is intermediate between that of the A state and the native protein. By NMR, the conformation of apo alpha-LA is similar to, but distinctly different from, that of the native protein. The apo form did not revert completely to the native state when Ca(II) was resupplied, consistent with a role for this cation in folding. It is suggested that the activity increase may result from a diminished constriction of the "cleft" region in alpha-LA.     

Discriminating changes in protein structure using tyrosine conjugation

Chemical modification of proteins has been crucial in engineering protein‐based therapies, targeted biopharmaceutics, molecular probes, and biomaterials. Here, we explore the use of a conjugation‐based approach to sense alternative conformational states in proteins. Tyrosine has both hydrophobic and hydrophilic qualities, thus allowing it to be positioned at protein surfaces, or binding interfaces, or to be buried within a protein. Tyrosine can be conjugated with 4‐phenyl‐3H‐1,2,4‐triazole‐3,5(4H)‐dione (PTAD). We hypothesized that individual protein conformations could be distinguished by labeling tyrosine residues in the protein with PTAD. We conjugated tyrosine residues in a well‐folded protein, bovine serum albumin (BSA), and quantified labeled tyrosine with liquid chromatography with tandem mass spectrometry. We applied this approach to alternative conformations of BSA produced in the presence of urea. The amount of PTAD labeling was found to relate to the depth of each tyrosine relative to the protein surface. This study demonstrates a new use of tyrosine conjugation using PTAD as an analytic tool able to distinguish the conformational states of a protein.     

Denatured states of yeast cytochrome c induced by heat and guanidinium chloride are structurally and thermodynamically different

A sequence alignment of mammalian cytochromes c with yeast iso-1-cytochrome c (y-cyt-c) shows that the yeast protein contains five extra N-terminal residues. We have been interested in understanding the question: What is the role of these five extra N-terminal residues in folding and stability of the protein? To answer this question we have prepared five deletants of y-cyt-c by sequentially removing these extra residues. During our studies on the wild type (WT) protein and its deletants, we observed that the amount of secondary structure in the guanidinium chloride (GdmCl)-induced denatured (D) state of each protein is different from that of the heat-induced denatured (H) state. This finding is confirmed by the observation of an additional cooperative transition curve of optical properties between H and D states on the addition of different concentrations of GdmCl to the already heat denatured WT y-cyt-c and its deletants at pH 6.0 and 68°C. For each protein, analysis of transition curves representing processes, native (N) state ? D state, N state ? H state, and H state ? D state, was done to obtain Gibbs free energy changes associated with all the three processes. This analysis showed that, for each protein, thermodynamic cycle accommodates Gibbs free energies associated with transitions between N and D states, N and H states, and H and D states, the characteristics required for a thermodynamic function. All these experimental observations have been supported by our molecular dynamics simulation studies.     

The folding pathway of an FF domain: characterization of an on-pathway intermediate state under folding conditions by (15)N, (13)C(alpha) and (13)C-methyl relaxation dispersion and (1)H/(2)H-exchange NMR spectroscopy

The FF domain from the human protein HYPA/FBP11 folds via a low-energy on-pathway intermediate (I). Elucidation of the structure of such folding intermediates and denatured states under conditions that favour folding are difficult tasks. Here, we investigated the millisecond time-scale equilibrium folding transition of the 71-residue four-helix bundle wild-type protein by (15)N, (13)C(alpha) and methyl(13)C Carr-Purcell-Meiboom-Gill (CPMG) NMR relaxation dispersion experiments and by (1)H/(2)H-exchange measurements. The relaxation data for the wild-type protein fitted a simple two-site exchange process between the folded state (F) and I. Destabilization of F in mutants A17G and Q19G allowed the detection of the unfolded state U by (15)N CPMG relaxation dispersion. The dispersion data for these mutants fitted a three-site exchange scheme, U<-->I<-->F, with I populated higher than U. The kinetics and thermodynamics of the folding reaction were obtained via temperature and urea-dependent relaxation dispersion experiments, along with structural information on I from backbone (15)N, (13)C(alpha) and side-chain methyl (13)C chemical shifts, with further information from protection factors for the backbone amide groups from (1)H/(2)H-exchange. Notably, helices H1-H3 are at least partially formed in I, while helix H4 is largely disordered. Chemical shift differences for the methyl (13)C nuclei suggest a paucity of stable, native-like hydrophobic interactions in I. These data are consistent with Phi-analysis of the rate-limiting transition state between I and F. The combination of relaxation dispersion and Phi data can elucidate whole experimental folding pathways.     

Functional homology between signal-coupling proteins. Cholera toxin inactivates the GTPase activity of transducin

Both the light-stimulated cGMP phosphodiesterase of retinal rod outer segments (ROS) and hormone-stimulated adenylate cyclase are regulated by guanine nucleotide-binding regulatory proteins (N). Transducin serves as the signal-carrying regulatory protein in ROS, and the N protein (also called G or G/F) performs this role in the adenylate cyclase system. The GTP form of these regulatory proteins activates the corresponding enzyme, whereas the GDP form does not. Both transducin and the N protein possess a GTPase activity that restores the regulatory protein to the unstimulated state. Cholera enterotoxin catalyzes the transfer of ADP-ribose from NAD+ to the N protein, which inhibits its GTPase activity and activates adenylate cyclase. We report here that the toxin also catalyzes ADP-ribosylation of the alpha-subunit of transducin in ROS membranes. This modification of the guanine nucleotide-binding subunit of transducin is markedly enhanced by the bleaching of rhodopsin and by the addition of guanosine-5'-(beta, gamma-imino)triphosphate. In contrast, GDP, GTP, and guanosine-5'-(3-O)thiotriphosphate inhibit the reaction, while GMP and ATP have no effect. Under optimal conditions, toxin catalyzes labeling of 0.7 mol of the alpha-subunit of transducin/mol of bound [3H]guanosine-5'-(beta, gamma-imido)triphosphate and causes 70% inhibition of the light-dependent GTPase activity of transducin in ROS. These results indicate close functional homology between transducin of ROS and the N protein of adenylate cyclase.     

Interleukin-1 beta folding between pH 5 and 7: experimental evidence for three-state folding behavior and robust transition state positions late in folding

The thermodynamic stability and folding kinetics of the all beta-sheet protein interleukin-1beta were measured between 0 and 4 M GdmCl concentrations and pH 5-7. Native interleukin-1beta undergoes a 3.5 kcal/mol decrease in thermodynamic stability, Delta, as pH is increased from 5 to 7. The native state parameter m(NU), measuring protein destabilization/[GdmCl], remains constant between pH 5 and 7, indicating that the solvent-exposed surface area difference between the native state and unfolded ensemble is unchanged across this pH range. Similarly, pH changes between 5 and 7 decrease only the thermodynamic stability, DeltaG(H)2(O), and not the m-values, of the kinetic intermediate and transition states. This finding is shown to be consistent with transition state configurations which continue to be the high-energy configurations of the transition state in the face of changing stability conditions. A three-state folding mechanism U right arrow over left arrow I right arrow over left arrow N is shown to be sufficient in characterizing IL-1beta folding under all conditions studied. The m-values of refolding transitions are much larger than the m-values of unfolding transitions, indicating that that the fast, T(2) (U right arrow over left arrow I), and slow, T(1) (I right arrow over left arrow N), transition states are highly similar to the intermediate I and native state N, respectively. Many of the folding properties of interleukin-1beta are shared among other members of the beta-trefoil protein family, although clear differences can exist.     

High pressure NMR reveals that apomyoglobin is an equilibrium mixture from the native to the unfolded

Pressure-induced reversible conformational changes of sperm whale apomyoglobin have been studied between 30 bar and 3000 bar on individual residue basis by utilizing 1H/15N hetero nuclear single-quantum coherence two-dimensional NMR spectroscopy at pH 6.0 and 35 degrees C. Apomyoglobin showed a series of pressure-dependent NMR spectra as a function of pressure, assignable to the native (N), intermediates (I), molten globule (MG) and unfolded (U) conformers. At 30 bar, the native fold (N) shows disorder only in the F helix. Between 500 bar and 1200 bar, a series of locally disordered conformers I are produced, in which local disorder occurs in the C helix, the CD loop, the G helix and part of the H helix. At 2000 bar, most cross-peaks exhibit severe line-broadening, suggesting the formation of a molten globule, but at 3000 bar all the cross-peaks reappear, showing that the molten globule turns into a well-hydrated, mobile unfolded conformation U. Since all the spectral changes were reversible with pressure, apomyoglobin is considered to exist as an equilibrium mixture of the N, I, MG and U conformers at all pressures. MG is situated at 2.4+/-(0.1) kcal/mol above N at 1 bar and the unfolding transition from the combined N-I state to MG is accompanied by a loss of partial molar volume by 75+/-(3) ml/mol. On the basis of these observations, we postulate a theorem that the partial molar volume of a protein decreases in parallel with the loss of its conformational order.     

Three-state protein folding: experimental determination of free-energy profile

When considering protein folding with a transient intermediate, a difficulty arises as to determination of the rates of separate transitions. Here we overcome this problem, using the kinetic studies of the unfolding/refolding reactions of the three-state protein apomyoglobin as a model. Amplitudes of the protein refolding kinetic burst phase corresponding to the transition from the unfolded (U) to intermediate (I) state, that occurs prior to the native state (N) formation, allow us to estimate relative populations of the rapidly converting states at various final urea concentrations. On the basis of these proportions, a complicated experimental chevron plot has been deconvolved into the urea-dependent rates of the I<-->N and U<-->N transitions to give the dependence of free energies of the main transition state and of all three (N, I, and U) stable states on urea concentration.