Effects of tryptophan microenvironment, soluble domain, and vesicle size on the thermodynamics of membrane protein folding: lessons from the transmembrane protein OmpA

Refolding curves of the integral membrane protein outer membrane protein A (OmpA) were measured to determine the conformational stabilities of this model system for membrane protein folding. Wild-type OmpA exhibits a free energy of unfolding (DeltaG degrees H2O) of 10.5 kcal/mol. Mutants, containing a single tryptophan residue at the native positions 7, 15, 57, 102, or 143, are less stable than wild-type OmpA, with DeltaG degrees H2O values of 6.7, 4.8, 2.4, 4.7, and 2.8 kcal/mol, respectively. The trend observed here is discussed in terms of noncovalent interactions, including aromatic interactions and hydrogen bonding. The effect of the soluble tail on the conformational stability of the transmembrane domain of OmpA was also investigated via truncated single-Trp mutants; DeltaG degrees H2O values for four of the five truncated mutants are greater by >2.7 kcal/mol relative to the full-length versions, suggesting that the absence of the soluble domain may destabilize the unfolded transmembrane domain. Finally, dynamic light scattering experiments were performed to measure the effects of urea and protein on vesicle size and stability. Urea concentrations greater than 1 M cause an increase in vesicle size, and these diameters are unaltered in the presence of protein. These dynamic light scattering results complement the fluorescence studies and illustrate the important effects of vesicle size on protein conformational stability.     

pH-dependent stability and folding kinetics of a protein with an unusual alpha-beta topology: the C-terminal domain of the ribosomal protein L9

The folding kinetics and thermodynamics of the isolated C-terminal domain of the ribosomal protein L9 (CTL9) have been studied as a function of pH. CTL9 is an alpha-beta protein that contains a single beta-sheet with an unusual mixed parallel, anti-parallel topology. The folding is fully reversible and two-state over the entire pH range. Stopped-flow fluorescence and CD experiments yield the same folding rate, and the chevron plots have the characteristic V-shape expected for two-state folding. The values of DeltaG*(H2O) and the m value calculated from the kinetic experiments are in excellent agreement with the equilibrium measurements. The extrapolated initial amplitudes of both the stopped-flow fluorescence and CD measurements show that there is no detectable burst phase intermediate. The domain contains three histidine residues, two of which are largely buried in the native state. They do not participate in salt-bridges or take part in a hydrogen bonded network. NMR measurements reveal that the buried histidine residues have significantly perturbed pK(a) values in the native state. The equilibrium stability and the folding rate are found to be strongly dependent upon their ionization state. There is a linear relationship between the log of the folding rate and DeltaG* (H2O) . The protein is much more stable and folds noticeably faster at pH values above the native state pK(a) values. DeltaG*(H2O) of unfolding increases from 2.90 kcal mol(-1) at pH 5.0 to 6.40 kcal mol(-1) at pH 8.0 while the folding rate increases from 0.60 to 18.7 s(-1). Tanford linkage analysis revealed that the interactions involving the two histidine residues are largely developed in the transition state. The results are compared to other studies of the pH-dependence of folding.     

Replacement of a conserved proline eliminates the absorbance-detected slow folding phase of iso-2-cytochrome c

As a test of the proline isomerization model, we have used oligonucleotide site-directed mutagenesis to construct a mutant form of iso-2-cytochrome c in which proline-76 is replaced by glycine [Wood, L. C., Muthukrishnan, K., White, T. B., Ramdas, L., & Nall, B. T. (1988) Biochemistry (preceding paper in this issue)]. For the oxidized form of Gly-76 iso-2, an estimate of stability by guanidine hydrochloride induced unfolding indicates that the mutation destabilizes the protein by 1.2 kcal/mol under standard conditions of neutral pH and 20 degrees C (delta G degrees u = 3.8 kcal/mol for normal Pro-76 iso-2 versus 2.6 kcal/mol for Gly-76 iso-2). The kinetics of folding/unfolding have been monitored by fluorescence changes throughout the transition region using stopped-flow mixing. The rates for fast and slow fluorescence-detected refolding are unchanged, while fast unfolding is increased in rate 3-fold in the mutant protein compared to normal iso-2. A new kinetic phase in the 1-s time range is observed in fluorescence-detected unfolding of the mutant protein. The presence of the new phase is correlated with the presence of species with an altered folded conformation in the initial conditions, suggesting assignment of the phase to unfolding of this species. The fluorescence-detected and absorbance-detected slow folding phases have been monitored as a function of final pH by manual mixing between pH 5.5 and 8 (0.3 M guanidine hydrochloride, 20 degrees C).(ABSTRACT TRUNCATED AT 250 WORDS)     

Conformational stability and mechanism of folding of ribonuclease T1

Urea and thermal unfolding curves for ribonuclease T1 (RNase T1) were determined by measuring several different physical properties. In all cases, steep, single-step unfolding curves were observed. When these results were analyzed by assuming a two-state folding mechanism, the plots of fraction unfolded protein versus denaturant were coincident. The dependence of the free energy of unfolding, delta G (in kcal/mol), on urea concentration is given by delta G = 5.6 - 1.21 (urea). The parameters characterizing the thermodynamics of unfolding are: midpoint of the thermal unfolding curve, Tm = 48.1 degrees C, enthalpy change at Tm, delta Hm = 97 kcal/mol, and heat capacity change, delta Cp = 1650 cal/mol deg. A single kinetic phase was observed for both the folding and unfolding of RNase T1 in the transition and post-transition regions. However, two slow kinetic phases were observed during folding in the pre-transition region. These two slow phases account for about 90% of the observed amplitude, indicating that a faster kinetic phase is also present. The slow phases probably result from cis-trans isomerization at the 2 proline residues that have a cis configuration in folded RNase T1. These results suggest that RNase T1 folds by a highly cooperative mechanism with no structural intermediates once the proline residues have assumed their correct isomeric configuration. At 25 degrees C, the folded conformation is more stable than the unfolded conformations by 5.6 kcal/mol at pH 7 and by 8.9 kcal/mol at pH 5, which is the pH of maximum stability. At pH 7, the thermodynamic data indicate that the maximum conformational stability of 8.3 kcal/mol will occur at -6 degrees C.     

Thermodynamic analysis of the structural stability of the shiga toxin B-subunit

The conformational stability of Shiga toxin B-subunit (STxB), a pentameric protein from Shigella dysenteriae has been characterized by high sensitivity differential scanning calorimetry and circular dichroism spectroscopy under different solvent conditions. It is shown that the thermal folding/unfolding of STxB is a reversible process involving a highly cooperative transition between folded pentamer and unfolded monomers. The conformational stability of STxB is pH dependent and because of its pentameric nature is also concentration dependent. STxB is maximally stable in the pH range from 5 to 9 (Delta G upon unfolding is close to 13 kcal per mol of monomer at 25 degrees C), and its stability decreases both at lower and at higher pH values. The pH dependence of the Gibbs energy of stabilization between pH 2.5 and 5 is consistent with the change in the ionizable state of an average of four groups per monomer upon unfolding. Structural thermodynamic calculations show that the stabilization of the STxB pentamer is primarily due to the interactions established between monomers rather than intramonomer interactions. The folding of an isolated monomer into the conformation existing in the pentamer is unfavorable and expected to be characterized by a free-energy change upon folding in the order of 2.5 kcal mol(-1) at 25 degrees C. On the average, intersubunit interaction induced upon oligomerization of folded monomers should contribute close to -13.4 kcal per mol of monomer to bring the overall Gibbs energy to the experimentally determined value at this temperature.     

Contribution of cation-pi interactions to protein stability

Calculations predict that cation- interactions make an important contribution to protein stability. While there have been some attempts to experimentally measure strengths of cation-pi interactions using peptide model systems, much less experimental data are available for globular proteins. We have attempted to determine the magnitude of cation-pi interactions of Lys with aromatic amino acids in four different proteins (LIVBP, MBP, RBP, and Trx). In each case, Lys was replaced with Gln and Met. In a separate series of experiments, the aromatic amino acid in each cation-pi pair was replaced by Leu. Stabilities of wild-type (WT) and mutant proteins were characterized by both thermal and chemical denaturation. Gln and aromatic --> Leu mutants were consistently less stable than corresponding Met mutants, reflecting the nonisosteric nature of these substitutions. The strength of the cation-pi interaction was assessed by the value of the change in the free energy of unfolding [DeltaDeltaG(degrees) = DeltaG(degrees)(Met) - DeltaG(degrees)(WT)]. This ranged from +1.1 to -1.9 kcal/mol (average value -0.4 kcal/mol) at 298 K and +0.7 to -2.6 kcal/mol (average value -1.1 kcal/mol) at the Tm of each WT. It therefore appears that the strength of cation-pi interactions increases with temperature. In addition, the experimentally measured values are appreciably smaller in magnitude than calculated values with an average difference /DeltaG(degrees)expt - DeltaG(degrees)calc/av of 2.9 kcal/mol. At room temperature, the data indicate that cation-pi interactions are at best weakly stabilizing and in some cases are clearly destabilizing. However, at elevated temperatures, close to typical Tm's, cation-pi interactions are generally stabilizing.     

Equilibrium and kinetic folding of an alpha-helical Greek key protein domain: caspase recruitment domain (CARD) of RICK

We have characterized the equilibrium and kinetic folding of a unique protein domain, caspase recruitment domain (CARD), of the RIP-like interacting CLARP kinase (RICK) (RICK-CARD), which adopts a alpha-helical Greek key fold. At equilibrium, the folding of RICK-CARD is well described by a two-state mechanism representing the native and unfolded ensembles. The protein is marginally stable, with a DeltaG(H)()2(O) of 3.0 +/- 0.15 kcal/mol and an m-value of 1.27 +/- 0.06 kcal mol(-1) M(-1) (30 mM Tris-HCl, pH 8, 1 mM DTT, 25 degrees C). While the m-value is constant, the protein stability decreases in the presence of moderate salt concentrations (below 200 mM) and then increases at higher salt concentrations. The results suggest that electrostatic interactions are stabilizing in the native protein, and the favorable Coulombic interactions are reduced at low ionic strength. Above 200 mM salt, the results are consistent with Hofmeister effects. The unfolding pathway of RICK-CARD is complex and contains at least three non-native conformations. The refolding pathway of RICK-CARD also is complex, and the data suggest that the unfolded protein folds via two intermediate conformations prior to reaching the native state. Overall, the data suggest the presence of kinetically trapped, or misfolded, species that are on-pathway both in refolding and in unfolding.     

Kinetically robust monomeric protein from a hyperthermophile

Equilibrium and kinetic studies were carried out under denaturation conditions to clarify the energetic features of the high stability of a monomeric protein, ribonuclease HII, from a hyperthermophile, Thermococcus kodakaraensis (Tk-RNase HII). Guanidine hydrochloride (GdnHCl)-induced unfolding and refolding were measured with circular dichroism at 220 nm, and heat-induced denaturation was studied with differential scanning calorimetry. Both GdnHCl- and heat-induced denaturation are very reversible. It was difficult to obtain the equilibrated unfolding curve of Tk-RNase HII below 40 degrees C, because of the remarkably slow unfolding. The two-state unfolding and refolding reactions attained equilibrium at 50 degrees C after 2 weeks. The Gibbs energy change of GdnHCl-induced unfolding (DeltaG(H(2)O)) at 50 degrees C was 43.6 kJ mol(-1). The denaturation temperature in the DSC measurement shifted as a function of the scan rate; the denaturation temperature at a scan rate of 90 degrees C h(-1) was higher than at a scan rate of 5 degrees C h(-1). The unfolding and refolding kinetics of Tk-RNase HII were approximated as a first-order reaction. The ln k(u) and ln k(r) values depended linearly on the denaturant concentration between 10 and 50 degrees C. The DeltaG(H(2)O) value obtained from the rate constant in water using the two-state model at 50 degrees C, 44.5 kJ mol(-1), was coincident with that from the equilibrium study, 43.6 kJ mol(-1), suggesting the two-state folding of Tk-RNase HII. The values for the rate constant in water of the unfolding for Tk-RNase HII were much smaller than those of E. coli RNase HI and Thermus thermophilus RNase HI, which has a denaturation temperature similar to that of Tk-RNase HII. In contrast, little difference was observed in the refolding rates among these proteins. These results indicate that the stabilization mechanism of monomeric protein from a hyperthermophile, Tk-RNase HII, with reversible two-state folding is characterized by remarkably slow unfolding.     

Temperature and driving force dependence of the folding rate of reduced horse heart cytochrome c

Utilizing the stability difference between the ferro and ferri forms of horse heart cytochrome c (cyt c), folding of reduced cyt c was triggered by laser-induced reduction of unfolded oxidized cyt c. Measurements were made of the kinetics of the main folding phase (1 ms-10 s) in which collapsed reduced cyt c transforms to the native conformation. The folding rates were studied extensively as a function of temperature (5-75 degrees C) and guanidine hydrochloride (GdnHCl) concentration (1.6-4.9 M). At constant [GdnHCl], the Arrhenius plot of the folding rate constant (k) is nonlinear. At temperatures above 40 degrees C, the decrease in protein stability counteracts the expected increase in folding rate. Introducing free energy (DeltaG), derived from protein stability data, into the Eyring and Arrhenius equations leads to: ln k = ln(k(b)T/h) + DeltaS()/R - DeltaH()/RT - theta(m)DeltaG/RT = ln A - E(a)/RT - theta(m)DeltaG/RT, where theta(m) is the ratio between the denaturant dependence of the folding rate and the stability. By using this equation at constant DeltaG [or constant equilibrium constant (K)], linear Arrhenius plots are obtained. For the main folding phase of reduced cyt c, a positive DeltaS() is obtained indicating that the transition state is less ordered than the reactant. A model is proposed in which reduced cyt c first collapses into a compact intermediate, which needs to expand to reach the transition state of the rate-limiting folding reaction.     

Kinetic barriers to the folding of horse cytochrome C in the reduced state

To determine the kinetic barrier in the folding of horse cytochrome c, a CO-liganded derivative of cytochrome c, called carbonmonoxycytochrome c, has been prepared by exploiting the thermodynamic reversibility of ferrocytochrome c unfolding induced by guanidinium hydrochloride (GdnHCl), pH 7. The CO binding properties of unfolded ferrocytochrome c, studied by 13C NMR and optical spectroscopy, are remarkably similar to those of native myoglobin and isolated chains of human hemoglobin. Equilibrium unfolding transitions of ferrocytochrome c in the presence and the absence of CO observed by both excitation energy transfer from the lone tryptophan to the ferrous heme and far-UV circular dichroism (CD) indicate no accumulation of structural intermediates to a detectable level. Values of thermodynamic parameters obtained by two-state analysis of fluorescence transitions are DeltaG(H2O) = 11.65(+/-1.13) kcal x mol(-1) and C(m) = 3.9(+/-0.1) M GdnHCl in the presence of CO, and DeltaG(H2O)=19.3(+/-0.5) kcal x mol(-1) and C(m) = 5.1(+/-0.1) M GdnHCl in the absence of CO, indicating destabilization of ferrocytochrome c by approximately 7.65 kcal x mol(-1) due to CO binding. The native states of ferrocytochrome c and carbonmonoxycytochrome c are nearly identical in terms of structure and conformation except for the Fe2+-M80 --> Fe2+-CO replacement. Folding and unfolding kinetics as a function of GdnHCl, studied by stopped-flow fluorescence, are significantly different for the two proteins. Both refold fast, but carbonmonoxycytochrome c refolds 2-fold faster (tau = 1092 micros at 10 degrees C) than ferrocytochrome c. Linear extrapolation of the folding rates to the ordinate of the chevron plot projects this value of tau to 407 micros. The unfolding rate of the former in water, estimated by extrapolation, is faster by more than 10 orders of magnitude. Significant differences are also observed in rate-denaturant gradients in the chevron. Formation and disruption of the Fe2+-M80 coordination contact clearly impose high-energy kinetic barriers to folding and unfolding of ferrocytochrome c. The unfolding barrier due to the Fe2+-M80 bond provides sufficient kinetic stability to the native state of ferrocytochrome c to perform its physiological function as an electron donor.     

Rapid folding with and without populated intermediates in the homologous four-helix proteins Im7 and Im9

The kinetics and thermodynamics of the folding of the homologous four-helix proteins Im7 and Im9 have been characterised at pH 7.0 and 10 degrees C. These proteins are 60 % identical in sequence and have the same three-dimensional structure, yet appear to fold by different kinetic mechanisms. The logarithm of the folding and unfolding rates of Im9 change linearly as a function of urea concentration and fit well to an equation describing a two-state mechanism (with a folding rate of 1500 s-1, an unfolding rate of 0. 01 s-1, and a highly compact transition state that has approximately 95 % of the native surface area buried). By contrast, there is clear evidence for the population of an intermediate during the refolding of Im7, as indicated by a change in the urea dependence of the folding rate and the presence of a significant burst phase amplitude in the refolding kinetics. Under stabilising conditions (0.25 M Na2SO4, pH 7.0 and 10 degrees C) the folding of Im9 remains two-state, whilst under similar conditions (0.4 M Na2SO4, pH 7.0 and 10 degrees C) the intermediate populated during Im7 refolding is significantly stabilised (KUI=125). Equilibrium denaturation experiments, under the conditions used in the kinetic measurements, show that Im7 is significantly less stable than Im9 (DeltaDeltaG 9.3 kJ/mol) and the DeltaG and m values determined accord with those obtained from the fit to the kinetic data. The results show, therefore, that the population of an intermediate in the refolding of the immunity protein structure is defined by the precise amino acid sequence rather than the global stability of the protein. We discuss the possibility that the intermediate of Im7 is populated due to differences in helix propensity in Im7 and Im9 and the relevance of these data to the folding of helical proteins in general.     

The reversible two-state unfolding of a monocot mannose-binding lectin from garlic bulbs reveals the dominant role of the dimeric interface in its stabilization

Allium sativum agglutinin (ASAI) is a heterodimeric mannose-specific bulb lectin possessing two polypeptide chains of molecular mass 11.5 and 12.5 kDa. The thermal unfolding of ASAI, characterized by differential scanning calorimetry and circular dichroism, shows it to be highly reversible and can be defined as a two-state process in which the folded dimer is converted directly to the unfolded monomers (A2 if 2U). Its conformational stability has been determined as a function of temperature, GdnCl concentration, and pH using a combination of thermal and isothermal GdnCl-induced unfolding monitored by DSC, far-UV CD, and fluorescence, respectively. Analyses of these data yielded the heat capacity change upon unfolding (DeltaC(p) and also the temperature dependence of the thermodynamic parameters, namely, DeltaG, DeltaH, and DeltaS. The fit of the stability curve to the modified Gibbs-Helmholtz equation provides an estimate of the thermodynamic parameters DeltaH(g), DeltaS(g), and DeltaC(p) as 174.1 kcal x mol(-1), 0.512 kcal x mol(-1) x K(-1), and 3.41 kcal x mol(-1) x K(-1), respectively, at T(g) = 339.4 K. Also, the free energy of unfolding, DeltaG(s), at its temperature of maximum stability (T(s) = 293 K) is 13.13 kcal x mol(-1). Unlike most oligomeric proteins studied so far, the lectin shows excellent agreement between the experimentally determined DeltaC(p) (3.2 +/- 0.28 kcal x mol(-1) x K(-1)) and those evaluated from a calculation of its accessible surface area. This in turn suggests that the protein attains a completely unfolded state irrespective of the method of denaturation. The absence of any folding intermediates suggests the quaternary interactions to be the major contributor to the conformational stability of the protein, which correlates well with its X-ray structure. The small DeltaC(p) for the unfolding of ASAI reflects a relatively small, buried hydrophobic core in the folded dimeric protein.     

Stability and cooperativity of individual tertiary contacts in RNA revealed through chemical denaturation

For proteins, understanding tertiary interactions involved in local versus global unfolding has become increasingly important for understanding the nature of the native state ensemble, the mechanisms of unfolding, and the stability of both the native and intermediate states in folding. In this work we have addressed related questions with respect to RNA structure by combining chemical denaturation and hydroxyl radical footprinting methods. We have determined unfolding isotherms for each of 26 discrete sites of protection located throughout the Tetrahymena thermophila group I ribozyme. The cooperativity of folding, m-value, and the free energy, DeltaG degrees N-U, associated with formation of each tertiary contact was determined by analysis of the isotherms. The DeltaG degrees N-U values measured in this study vary from 1.7 +/- 0.2 to 7. 6 +/- 1.2 kcal mol-1. Thus, the stability of these discrete tertiary contacts vary by almost 104. In addition, an intradomain contact and three interdomain contacts show high cooperativity (m-values of 1.1 +/- 0.2 to 1.7 +/- 0.3 kcal mol-1 M-1) indicating that these contacts exhibit global cooperatively in their folding behavior. This new approach to examining RNA stability provides an exciting comparison to our understanding of protein structure and folding mechanisms.     

Conformational strain in the hydrophobic core and its implications for protein folding and design

We have designed de novo 13 divergent spectrin SH3 core sequences to determine their folding properties. Kinetic analysis of the variants with stability similar to that of the wild type protein shows accelerated unfolding and refolding rates compatible with a preferential stabilization of the transition state. This is most likely caused by conformational strain in the native state, as deletion of a methyl group (Ile-->Val) leads to deceleration in unfolding and increased stability (up to 2 kcal x mol(-1)). Several of these Ile-->Val mutants have negative phi(-U) values, indicating that some noncanonical phi(-U) values might result from conformational strain. Thus, producing a stable protein does not necessarily mean that the design process has been entirely successful. Strained interactions could have been introduced, and a reduction in the buried volume could result in a large increase in stability and a reduction in unfolding rates.     

Thermal unfolding and conformational stability of the recombinant domain II of glutamate dehydrogenase from the hyperthermophile Thermotoga maritima

Domain II (residues 189-338, M(r) = 16 222) of glutamate dehydrogenase from the hyperthermophilic bacterium Thermotoga maritima was used as a model system to study reversible unfolding thermodynamics of this hyperthermostable enzyme. The protein was produced in large quantities in E.COLI: using a T7 expression system. It was shown that the recombinant domain is monomeric in solution and that it comprises secondary structural elements similar to those observed in the crystal structure of the hexameric enzyme.The recombinant domain is thermostable and undergoes reversible and cooperative thermal unfolding in the pH range 5.90-8.00 with melting temperatures between 75.1 and 68.0 degrees C. Thermal unfolding of the protein was studied using differential scanning calorimetry and circular dichroism spectroscopy. Both methods yielded comparable values. The analysis revealed an unfolding enthalpy at 70 degrees C of 70.2 +/- 4.0 kcal/mol and a DeltaC(p) value of 1.4 +/- 0.3 kcal/mol K. Chemical unfolding of the recombinant domain resulted in m values of 3.36 +/- 0.10 kcal/mol M for unfolding in guanidinium chloride and 1.46 +/- 0.04 kcal/mol M in urea. The thermodynamic parameters for thermal and chemical unfolding equilibria indicate that domain II from T.MARITIMA: glutamate dehydrogenase is a thermostable protein with a DeltaG(max) of 3.70 kcal/mol. However, the thermal and chemical stabilities of the domain are lower than those of the hexameric protein, indicating that interdomain interactions must play a significant role in the stabilization of T. MARITIMA: domain II glutamate dehydrogenase.     

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.     

Analysis of folding and unfolding reactions of cytochrome b5

The guanidine hydrochloride- (GuHCl-) induced unfolding and refolding of a recombinant domain of bovine microsomal cytochrome b(5) containing the first 104 amino acid residues has been characterized by both transient and equilibrium spectrophotometric methods. The soluble domain is reversibly unfolded and the equilibrium reaction may be monitored by changes in absorbance and fluorescence that accompany denaturation of the native protein. Both probes reveal a single cooperative transition with a midpoint at 3 M GuHCl and lead to a value for the protein stability (DeltaG(uw)) of 26.5 kJ mol(-1). This stability is much higher than that reported for the corresponding form of the apoprotein (approximately 7 kJ mol(-1)). Transient changes in fluorescence and absorbance during protein unfolding exhibit biphasic profiles. A fast phase occupying approximately 30% of the total amplitude is observed at high denaturant concentrations and becomes the dominant process within the transition region. The rates associated with each process show a linear dependency on GuHCl concentration, and at zero denaturant concentration the unfolding rates (k(uw)) are 4.5 x 10(-5) s(-1) and 5.2 x 10(-6) s(-1) at 25 degrees C. The pattern of unfolding is not correlated with covalent heterogeneity, since a wide range of variants and site-directed mutants exhibit identical profiles, nor is the unfolding correlated with cis-trans Pro isomerization in the native state. In comparison with the apo form of cytochrome b(5), the kinetics of refolding and unfolding are more complex and exhibit very different transition states. The data support a model for unfolding in which heme-protein interactions give rise to two discernible rates of unfolding. From an analysis of the activation parameters associated with each process it is established that two structurally similar transition states differing by less than 5 kJ mol(-1) exist in the unfolding reaction. Protein refolding exhibits monophasic kinetics but with distinct curvature apparent in plots of ln k(obs) versus denaturant concentration. The data are interpreted in terms of alternative routes for protein folding in which a "fast track" leads to the rapid ordering of structure around Trp26 for refolding while a slower route requires additional reorganization around the hydrophobic core.     

Multifrequency calorimetry of the folding/unfolding transition of cytochrome c.

The folding-unfolding transition of Fe(III) cytochrome c has been studied with the new technique of multifrequency calorimetry. Multifrequency calorimetry is aimed at measuring directly the dynamics of the energetic events that take place during a thermally induced transition by measuring the frequency dispersion of the heat capacity. This is done by modulating the folding/unfolding equilibrium using a variable frequency, small oscillatory temperature perturbation (approximately 0.05-0.1 degrees C) centered at the equilibrium temperature of the system. Fe(III) cytochrome c at pH 4 undergoes a fully reversible folding/unfolding transition centered at 67.7 degrees C and characterized by an enthalpy change of 81 kcal/mol and heat capacity difference between unfolded and folded states of 0.9 kcal/K*mol. By measuring the temperature dependence of the frequency dispersion of the heat capacity in the frequency range of 0.1-1 Hz it has been possible to examine the time regime of the enthalpic events associated with the transition. The multifrequency calorimetry results indicate that approximately 85% of the excess heat capacity associated with the folding/unfolding transition relaxes with a single relaxation time of 326 +/- 68 ms at the midpoint of the transition region. This is the first time that the time regime in which heat is absorbed and released during protein folding/unfolding has been measured.     

Thermodynamics and kinetics of folding of common-type acylphosphatase: comparison to the highly homologous muscle isoenzyme

The thermodynamics and kinetics of folding of common-type acylphosphatase have been studied under a variety of experimental conditions and compared with those of the homologous muscle acylphosphatase. Intrinsic fluorescence and circular dichroism have been used as spectroscopic probes to follow the folding and unfolding reactions. Both proteins appear to fold via a two-state mechanism. Under all the conditions studied, common-type acylphosphatase possesses a lower conformational stability than the muscle form. Nevertheless, common-type acylphosphatase folds more rapidly, suggesting that the conformational stability and the folding rate are not correlated in contrast to recent observations for a number of other proteins. The unfolding rate of common-type acylphosphatase is much higher than that of the muscle enzyme, indicating that the differences in conformational stability between the two proteins are primarily determined by differences in the rate of unfolding. The equilibrium m value is markedly different for the two proteins in the pH range of maximum conformational stability (5. 0-7.5); above pH 8.0, the m value for common-type acylphosphatase decreases abruptly and becomes similar to that of the muscle enzyme. Moreover, at pH 9.2, the dependencies of the folding and unfolding rate constants of common-type acylphosphatase on denaturant concentration (mf and mu values, respectively) are notably reduced with respect to pH 5.5. The pH-induced decrease of the m value can be attributed to the deprotonation of three histidine residues that are present only in the common-type isoenzyme. This would decrease the positive net charge of the protein, leading to a greater compactness of the denatured state. The folding and unfolding rates of common-type acylphosphatase are not, however, significantly different at pH 5.5 and 9.2, indicating that this change in compactness of the denatured and transition states does not have a notable influence on the rate of protein folding.