Polymer principles of protein calorimetric two-state cooperativity

The experimental calorimetric two-state criterion requires the van't Hoff enthalpy DeltaH(vH) around the folding/unfolding transition midpoint to be equal or very close to the calorimetric enthalpy DeltaH(cal) of the entire transition. We use an analytical model with experimental parameters from chymotrypsin inhibitor 2 to elucidate the relationship among several different van't Hoff enthalpies used in calorimetric analyses. Under reasonable assumptions, the implications of these DeltaH(vH)'s being approximately equal to DeltaH(cal) are equivalent: Enthalpic variations among denatured conformations in real proteins are much narrower than some previous lattice-model estimates, suggesting that the energy landscape theory "folding to glass transition temperature ratio" T(f) /T(g) may exceed 6.0 for real calorimetrically two-state proteins. Several popular three-dimensional lattice protein models, with different numbers of residue types in their alphabets, are found to fall short of the high experimental standard for being calorimetrically two-state. Some models postulate a multiple-conformation native state with substantial pre-denaturational energetic fluctuations well below the unfolding transition temperature, or predict a significant post-denaturational continuous conformational expansion of the denatured ensemble at temperatures well above the transition point, or both. These scenarios either disagree with experiments on protein size and dynamics, or are inconsistent with conventional interpretation of calorimetric data. However, when empirical linear baseline subtractions are employed, the resulting DeltaH(vH)/DeltaH(cal)'s for some models can be increased to values closer to unity, and baseline subtractions are found to correspond roughly to an operational definition of native-state conformational diversity. These results necessitate a re-assessment of theoretical models and experimental interpretations.     

The peculiar nature of the guanidine hydrochloride-induced two-state denaturation of staphylococcal nuclease: a calorimetric study.

This work determines the ratio of DeltaH(vH) /DeltaH(cal) for staphylococcal nuclease (SN) denaturation in guanidine hydrochloride (GdnHCl) to test whether GdnHCl-induced denaturation is two-state. Heats of mixing of SN as a function of [GdnHCl] were determined at pH 7.0 and 25 degrees C. The resulting plot of DeltaH(mix) vs [GdnHCl] exhibits a sigmoid shaped curve with linear pre- and post-denaturational base lines. Extending the pre- and post-denaturational lines to zero [GdnHCl] gives a calorimetric DeltaH (DeltaH(cal)) of 24.1 +/- 1.0 kcal/mol, for SN denaturation in the limit of zero GdnHCl concentration. Guanidine hydrochloride-induced denaturation Gibbs energy changes in the limit of zero denaturant concentration (DeltaG degrees (N)(-)(D)) at pH 7. 0 were determined for SN from fluorescence measurements at fixed temperatures over the range from 15 to 35 degrees C. Analysis of the resulting temperature-dependent DeltaG degrees (N)(-)(D) data defines a van't Hoff denaturation enthalpy change (DeltaH(vH)) of 26. 4 +/- 2.8 kcal/mol. The model-dependent van't Hoff DeltaH(vH) divided by the model-independent DeltaH(cal) gives a ratio of 1.1 +/- 0.1 for DeltaH(vH)/DeltaH(cal), a result that rules out the presence of thermodynamically important intermediate states in the GdnHCl-induced denaturation of SN. The likelihood that GdnHCl-induced SN denaturation involves a special type of two-state denaturation, known as a variable two-state process, is discussed in terms of the thermodynamic implications of the process.     

Equilibrium unfolding mechanism of chicken muscle triose phosphate isomerase

Triose phosphate isomerase (TIM) was prepared and purified from chicken breast muscle. The equilibrium unfolding of TIM by urea was investigated by following the changes of intrinsic fluorescence and circular dichroism spectroscopy, and the equilibrium thermal unfolding by differential scanning calorimetry (DSC). Results show that the unfolding of TIM in urea is highly cooperative and no folding intermediate was detected in the experimental conditions used. The thermodynamic parameters of TIM during its urea induced unfolding were calculated as DeltaG degrees =3.54 kcal.mol(-1), and m(G) = 0.67 kcal.mol(-1)M(-1), which just reflect the unfolding of dissociated folded monomer to fully unfolded monomer transition, while the dissociation energy of folded dimer to folded monomer is probe silence. DSC results indicate that TIM unfolding follows an irreversible two-state step with a slow aggregation process. The cooperative unfolding ratio, DeltaH(cal)/DeltaH(vH), was measured close to 2, indicating that the two subunits of chicken muscle TIM unfold independently. The van't Hoff enthalpy, DeltaH(vH), was estimated as about 200 kcal.mol(-1). These results support the unfolding mechanism with a folded monomer formation before its tertiary structure and secondary structure unfolding.     

Thermal unfolding mechanism of lipocalin-type prostaglandin D synthase

Lipocalin-type prostaglandin (PG) D synthase (L-PGDS) is a dual-functioning protein in the lipocalin family, acting as a PGD(2)-synthesizing enzyme and as an extracellular transporter for small lipophilic molecules. We earlier reported that denaturant-induced unfolding of L-PGDS follows a four-state pathway, including an activity-enhanced state and an inactive intermediate state. In this study, we investigated the thermal unfolding mechanism of L-PGDS by using differential scanning calorimetry (DSC) and CD spectroscopy. DSC measurements revealed that the thermal unfolding of L-PGDS was a completely reversible process at pH 4.0. The DSC curves showed no concentration dependency, demonstrating that the thermal unfolding of L-PGDS involved neither intermolecular interaction nor aggregation. On the basis of a simple two-state unfolding mechanism, the ratio of van't Hoff enthalpy (DeltaH(vH)) to calorimetric enthalpy (DeltaH(cal)) was below 1, indicating the presence of an intermediate state (I) between the native state (N) and unfolded state (U). Then, statistical thermodynamic analyses of a three-state unfolding process were performed. The heat capacity curves fit well with a three-state process; and the estimated transition temperature (T(m)) and enthalpy change (DeltaH(cal)) of the N<-->I and I<-->U transitions were 48.2 degrees C and 190 kJ.mol(-1), and 60.3 degrees C and 144 kJ.mol(-1), respectively. Correspondingly, the thermal unfolding monitored by CD spectroscopy at 200, 235 and 290 nm revealed that L-PGDS unfolded through the intermediate state, where its main chain retained the characteristic beta-sheet structure without side-chain interactions.     

Synthesis and folding of native collagen III model peptides.

Solid-phase synthesis of triple-helical peptides, including native collagen III sequences, was started with a trimeric branch, based upon the lysine dipeptide [Fields, C. G., Mickelson, D. J., Drake, S. L., McCarthy, J. B., and Fields, G. B. (1993) J. Biol. Chem. 268, 14153-14160]. Branch synthesis was modified, using TentaGel R as resin, p-hydroxybenzyl alcohol (HMP) as linker, Dde as N(epsilon)-protective group, and HATU/HOAT as coupling reagent. Three homotrimeric sequences, each containing the Gly 606-Gly 618 portion of human type III collagen, were added to the amino functions of the branch. The final incorporation of GlyProHyp triplets, stabilizing the collagen III triple helix, was performed by using protected GlyProHyp tripeptides, each containing tert-butylated hydroxyproline [P(tBu)] instead of hydroxyproline (P). Among the protected tripeptides FmocP(tBu)PG, FmocPP(tBu)G, and FmocGPP(tBu), prepared manually on a chlorotrityl resin, incorporation of FmocPP(tBu)Gly was best suited for synthesis of large and stable peptides, such as PPG(8), containing 8 (PPG)(3) trimers (115 residues, 10 610 Da). The structures of five peptides, differing from each other by the type and number of the triplets incorporated, were verified by MALDI-TOF-MS. Their conformations and thermodynamic data were studied by circular dichroism and differential scanning calorimetry. Except for PPG(8), containing 8 (PPG)(3) trimers with hydroxyproline in the X position and adopting a polyproline II structure, all peptides were triple-helical in 0.1 M acetic acid and their thermal stabilities ranged from t(1/2) = 39. 4 to t(1/2) = 62.5 degrees C, depending on the identity and number of the triplets used. Similar values of the van't Hoff enthalpy, DeltaH(vH), derived from melting curves, and the calorimetric enthalpy, DeltaH(cal), obtained from heat capacity curves, indicate a cooperative ratio of CR = DeltaH(vH)/DeltaH(cal) = 1, establishing a two-state process for unfolding of THP(III) peptides. The independence of the transition temperatures t(1/2) on peptide concentration as well as equilibrium centrifugation data indicate monomolecular dimer(f) to dimer(u) (F(2) <--> U(2)) transitions and, in addition, bimolecular dimer(f) to monomer(u) transitions (F(2) <--> 2U). The dominance of the concentration-independent monomolecular reaction over the concentration-dependent bimolecular reaction makes thermal unfolding of THP(III) peptides appear to be monomolecular. If one designates the molecularity described by the term pseudomonomolecular, unfolding of the dimeric peptides PPG(6-8) follows a two-state, pseudomonomolecular reaction.     

The calorimetric criterion for a two-state process revisited.

The "calorimetric criterion" is one of the important experimental approaches for determining whether protein folding is an "all-or-none" two-state transition (i.e., whether intermediates are present at equilibrium). The calorimetric criterion states that the equivalence of the "measured" calorimetric enthalpy change and the effective two-state van't Hoff enthalpy change demonstrates that there is a two-state transition. This paper addresses the essential question of whether the calorimetric criterion is a necessary and sufficient condition for a two-state process and shows that it is necessary but not sufficient by means of specific examples. Analysis of simple models indicates that the heat capacity curve, regardless of whether it originates from a two-state process or not, can always be decomposed in such a way that the calorimetric criterion is satisfied. Exact results for a three-state model and a homopolymer tetramer demonstrate that the deviation from the calorimetric criterion is not simply related to the population of intermediate states. Analysis of a three-helix bundle protein model, which has a two-state folding from a random coil to ordered (molten) globule, shows that the calorimetric criterion may not be satisfied if the standard linear interpolation of baselines (weighted or unweighted) is employed. A specific example also suggests that the more recently introduced deconvolution method is not necessarily better than the simple calorimetric criterion for distinguishing a two-state transition from a three-state transition. Although the calorimetric criterion is not a sufficient condition for a two-state process, it is likely to continue to be of practical utility, particularly when its results are shown to be consistent with those from other experimental methods.     

Significant discrepancies between van't Hoff and calorimetric enthalpies. III

The study of a wide variety of reversible reactions in solution indicates that the enthalpy, DeltaH(vH), which controls the temperature variation of the equilibrium constant for a reaction, can seldom, if ever, be taken to be independent of the temperature. It is also found in most cases that the values for DeltaH(vH), properly evaluated as varying with the temperature, differ significantly from the values for the enthalpy, DeltaH(cal), determined by direct calorimetry under the same experimental conditions. In a continuing search for reactions which show agreement between DeltaH(vH) and DeltaH(cal), we have studied by isothermal titration calorimetry the reactions of heptylamine with heptanoic acid in dodecane solution and of alpha-cyclodextrin with sodium heptanoate in aqueous solution.     

Criteria for downhill protein folding: calorimetry, chevron plot, kinetic relaxation, and single-molecule radius of gyration in chain models with subdued degrees of cooperativity

Recent investigations of possible downhill folding of small proteins such as BBL have focused on the thermodynamics of non-two-state, "barrierless" folding/denaturation transitions. Downhill folding is noncooperative and thermodynamically "one-state," a phenomenon underpinned by a unimodal conformational distribution over chain properties such as enthalpy, hydrophobic exposure, and conformational dimension. In contrast, corresponding distributions for cooperative two-state folding are bimodal with well-separated population peaks. Using simplified atomic modeling of a three-helix bundle-in a scheme that accounts for hydrophobic interactions and hydrogen bonding-and coarse-grained C(alpha) models of four real proteins with various degrees of cooperativity, we evaluate the effectiveness of several observables at defining the underlying distribution. Bimodal distributions generally lead to sharper transitions, with a higher heat capacity peak at the transition midpoint, compared with unimodal distributions. However, the observation of a sigmoidal transition is not a reliable criterion for two-state behavior, and the heat capacity baselines, used to determine the van't Hoff and calorimetric enthalpies of the transition, can introduce ambiguity. Interestingly we find that, if the distribution of the single-molecule radius of gyration were available, it would permit discrimination between unimodal and bimodal underlying distributions. We investigate kinetic implications of thermodynamic noncooperativity using Langevin dynamics. Despite substantial chevron rollovers, the relaxation of the models considered is essentially single-exponential over an extended range of native stabilities. Consistent with experiments, significant deviations from single-exponential behavior occur only under strongly folding conditions.     

The stability, structural organization, and denaturation of pectate lyase C, a parallel beta-helix protein

Pectate lyase C (pelC) was the first protein in which the parallel beta-helix structure was recognized. The unique features of parallel beta-helix-containing proteins-a relatively simple topology and unusual interactions among side chains-make pelC an interesting protein to study with respect to protein folding. In this paper, we report studies of the unfolding equilibrium of pelC. PelC is unfolded reversibly by gdn-HCl at pH 7 and 5, as monitored by far- and near-UV CD and fluorescence. The coincidence of these spectroscopically detected transitions is consistent with a two-state transition at pH 7, but the three probes are not coincident at pH 5. No evidence was found for a loosely folded intermediate in the transition region at pH 5. At pH 7, the for unfolding is 12.2 kcal/mol, with the midpoint of the transition at 0.99 M gdn-HCl and m = 12.3 kcal/(mol.M). Thus, pelC is unusually stable and has an m value that is much larger than for typical globular proteins. Thermal denaturation of pelC has been studied by differential scanning calorimetry (DSC) and by CD. Although thermal denaturation is not reversible, valid thermodynamic data can be obtained for the unfolding transition. DeltaH(van't Hoff)/DeltaH(cal) is less than 1 for pHs between 5 and 8, with a maximum value of 0.91 at pH 7 decreasing to 0.85 at pH 8 and to 0.68 at pH 5. At all pHs studied, the excess heat capacity can be deconvoluted into two components corresponding to two-state transitions that are nearly coincident at pH 7, but deviate more at higher and lower pH. Thus, pelC appears to consist of two domains that interact strongly and unfold in a cooperative fashion at pH 7, but the cooperativity decreases at higher and lower pH. The crystal structure of pelC shows no obvious domain structure, however.     

Thermal unfolding of eosinophil cationic protein/ribonuclease 3: a nonreversible process

Eosinophil cationic protein (ECP)/ribonuclease 3 is a member of the RNase A superfamily involved in inflammatory processes mediated by eosinophils. ECP is bactericidal, helminthotoxic, and cytotoxic to tracheal epithelium cells and to several mammalian cell lines although its RNase activity is low. We studied the thermal stability of ECP by fourth-derivative UV absorbance spectra, circular dichroism, differential scanning calorimetry, and Fourier transform infrared spectroscopy. The T (1/2) values obtained with the different techniques were in very good agreement (T (1/2) approximately 72 degrees C), and the stability was maintained in the pH range between 5 and 7. The ECP calorimetric melting curve showed, in addition to the main transition, a pretransitional conformational change with a T (1/2) of 44 degrees C. Both calorimetric transitions disappeared after successive re-heatings, and the ratio DeltaH versus DeltaH (vH) of 2.2 indicated a significant deviation from the two-state model. It was observed that the thermal unfolding was irreversible. The unfolding process gives rise to changes in the environment of aromatic amino acids that are partially maintained in the refolded protein with the loss of secondary structure and the formation of oligomers. From the thermodynamic analysis of ECP variants, the contribution of specific amino acids, such as Trp10 and the region 115-122, to thermal stability was also determined. The high thermal stability of ECP may contribute to its resistance to degradation when the protein is secreted to the extracellular medium during the immune response.     

Acid-induced changes in thermal stability and fusion activity of influenza hemagglutinin

The conformational and thermal stability of full-length hemagglutinin (HA) of influenza virus (strain X31) has been investigated using a combination of differential scanning calorimetry (DSC), analytical ultracentrifugation, fluorescence, and circular dichroism (CD) spectroscopy as a function of pH. HA sediments as a rosette comprised of 5-6 trimers (31-35 S) over the pH range of 7.4-5.4. The DSC profile of HA in the native state at pH 7.4 is characterized by a single cooperative endotherm with a transition temperature (Tm) of 66 degrees C and unfolding enthalpy (DeltaH(cal)) of 800 kcal x (mol of trimer)(-1). Upon acidification to pH 5.4, there is a significant decrease in the transition temperature (from 66 to 45 degrees C), unfolding enthalpy [from 800 to 260 kcal x (mol of trimer)(-1)], and DeltaH(cal)/DeltaH(vH) ratio (from 3.0 to approximately 1.3). Whereas the far- and near-UV ellipticities are maintained over this pH range, there is an acid-induced increase in surface hydrophobicity and decrease in intrinsic tryptophanyl fluorescence. The major contribution to the DSC endotherm arises from unfolding HA1 domains. The relationship between acid-induced changes in thermal stability and the fusion activity of HA has been examined by evaluating the kinetics and extent of fusion of influenza virus with erythrocytes over the temperature and pH range of the DSC measurements. Surprisingly, X31 influenza virus retains its fusion activity at acidic pH and temperatures significantly below the unfolding transition of HA. This finding is consistent with the notion that the fusion activity of influenza virus may involve structural changes of only a small fraction of HA molecules.     

Physical-chemical characterization and stability study of alpha-trypsin at pH 3.0 by differential scanning calorimetry

alpha-Trypsin is a serine-protease with a polypeptide chain of 223 amino acid residues and six disulfide bridges. It is a globular protein with predominance of antiparallel ss-sheet secondary structure and it has two domains with similar structures. In the present work, a stability study of alpha-trypsin in the acid pH range was performed and some physical-chemical denaturation parameters were measured by using differential scanning calorimetry (DSC). The alpha-trypsin has a shelf-life (t(95%)) of about 10 months at pH 3.0 and 4 degrees C and its hydrolysis into the psi-trypsin isoform is negligible during 6 months. The observed ratio DeltaH(cal)/DeltaH(vH) is close to unity, which suggests the occurrence of a two-state transition. At pH 3.0, alpha-trypsin unfolded with T(m) = 325.9 K and DeltaH = 99.10 kcal mol(-1), and the change in heat capacity between the native and unfolded forms of the protein was estimated to be 1.96+/-0.18 kcal mol(-1)K(-1). The stability of alpha-trypsin calculated at 298 K was DeltaG(U)=6.10 kcal mol(-1) at pH 3.0. These values are in the range expected for a small globular protein. These results show that the thermodynamic parameters of unfolding of beta-trypsin do not change substantially after its conversion to alpha-trypsin.     

Solvation effects and driving forces for protein thermodynamic and kinetic cooperativity: how adequate is native-centric topological modeling?

What energetic and solvation effects underlie the remarkable two-state thermodynamics and folding/unfolding kinetics of small single-domain proteins? To address this question, we investigate the folding and unfolding of a hierarchy of continuum Langevin dynamics models of chymotrypsin inhibitor 2. We find that residue-based additive Gō-like contact energies, although native-centric, are by themselves insufficient for protein-like calorimetric two-state cooperativity. Further native biases by local conformational preferences are necessary for protein-like thermodynamics. Kinetically, however, even models with both contact and local native-centric energies do not produce simple two-state chevron plots. Thus a model protein's thermodynamic cooperativity is not sufficient for simple two-state kinetics. The models tested appear to have increasing internal friction with increasing native stability, leading to chevron rollovers that typify kinetics that are commonly referred to as non-two-state. The free energy profiles of these models are found to be sensitive to the choice of native contacts and the presumed spatial ranges of the contact interactions. Motivated by explicit-water considerations, we explore recent treatments of solvent granularity that incorporate desolvation free energy barriers into effective implicit-solvent intraprotein interactions. This additional feature reduces both folding and unfolding rates vis-à-vis that of the corresponding models without desolvation barriers, but the kinetics remain non-two-state. Taken together, our observations suggest that interaction mechanisms more intricate than simple Gō-like constructs and pairwise additive solvation-like contributions are needed to rationalize some of the most basic generic protein properties. Therefore, as experimental constraints on protein chain models, requiring a consistent account of protein-like thermodynamic and kinetic cooperativity can be more stringent and productive for some applications than simply requiring a model heteropolymer to fold to a target structure.     

Energetic basis of molecular recognition in a DNA aptamer

The thermal stability and ligand binding properties of the L-argininamide-binding DNA aptamer (5'-GATCGAAACGTAGCGCCTTCGATC-3') were studied by spectroscopic and calorimetric methods. Differential calorimetric studies showed that the uncomplexed aptamer melted in a two-state reaction with a melting temperature T(m)=50.2+/-0.2 degrees C and a folding enthalpy DeltaH(0)(fold)=-49.0+/-2.1 kcal mol(-1). These values agree with values of T(m)=49.6 degrees C and DeltaH(0)(fold)=-51.2 kcal mol(-1) predicted for a simple hairpin structure. Melting of the uncomplexed aptamer was dependent upon salt concentration, but independent of strand concentration. The T(m) of aptamer melting was found to increase as L-argininamide concentrations increased. Analysis of circular dichroism titration data using a single-site binding model resulted in the determination of a binding free energy DeltaG(0)(bind)=-5.1 kcal mol(-1). Isothermal titration calorimetry studies revealed an exothermic binding reaction with DeltaH(0)(bind)=-8.7 kcal mol(-1). Combination of enthalpy and free energy produce an unfavorable entropy of -TDeltaS(0)=+3.6 kcal mol(-1). A molar heat capacity change of -116 cal mol(-1) K(-1) was determined from calorimetric measurements at four temperatures over the range of 15-40 degrees C. Molecular dynamics simulations were used to explore the structures of the unligated and ligated aptamer structures. From the calculated changes in solvent accessible surface areas of these structures a molar heat capacity change of -125 cal mol(-1) K(-1) was calculated, a value in excellent agreement with the experimental value. The thermodynamic signature, along with the coupled CD spectral changes, suggest that the binding of L-argininamide to its DNA aptamer is an induced-fit process in which the binding of the ligand is thermodynamically coupled to a conformational ordering of the nucleic acid.     

Thermal unfolding of soybean peroxidase. Appropriate high denaturant concentrations induce cooperativity allowing the correct measurement of thermodynamic parameters

We have earlier reported that both guanidine hydrochloride (GdnHCl)-induced and heat-induced unfolding of seed coat soybean peroxidase (SBP), monitored by far UV CD, show single step transition. However, although GdnHCl-induced unfolding follows a two-state pathway, the heat-induced denaturation proceeds through intermediates as indicated by the very low cooperativity of transition. In the former case, analysis of the data based on the two-state model gives true thermodynamic parameters, whereas underestimated values are obtained in the latter case. Available complex equations also cannot be applied for the analysis of the thermal unfolding of SBP due to the absence of separate transitions for the intermediates. In the present study, we report a method to obtain true thermodynamic parameters from thermal transition curves of SBP using the two-state model. When SBP is subjected to thermal unfolding at high GdnHCl concentrations (5.8-6.9 M), cooperative behavior is observed, which allowed the analysis by the two-state model to determine their thermodynamic parameters. We then obtained the thermodynamic parameters in the absence of GdnHCl by extrapolating the graph of linear dependence of DeltaH(m) on T(m) to the T(m) corresponding to 0 m GdnHCl. Another key point for checking the validity of our method was the fact that the unfolded state of SBP generated by either heat or GdnHCl is the same by which we could cross-check our results with that obtained from GdnHCl unfolding. Having obtained the true thermodynamic parameters, we report a detailed thermodynamic study of SBP. Further we address the effect of heme in the thermal unfolding mechanism of SBP.     

Thermodynamic, spectroscopic, and equilibrium binding studies of DNA sequence context effects in six 22-base pair deoxyoligonucleotides.

Effects of different end sequences on stability, circular dichroism spectra (CD), and enzyme binding properties were investigated for six 22-base pair, non-self-complementary duplex DNA oligomers. The center sequences of these deoxyoligonucleotides have 8-14 base pairs in common and are flanked on both sides by sequences differing in context and A-T content. Temperature-induced melting transitions monitored by differential scanning calorimetry (DSC) and ultraviolet absorbance were measured for the six duplexes in buffered 115 mM Na(+) solutions. Values of the melting transition enthalpy, DeltaH(cal), and entropy, DeltaS(cal), were obtained directly from DSC experiments. Melting transition parameters, DeltaH(vH) and DeltaS(vH), were also estimated from van't Hoff analysis of optical melting curves collected as a function of DNA concentration, assuming a two-state melting transition. Melting free energies (20 degrees C) of the six DNAs evaluated from DSC experiments ranged from -18.7 to -32.7 kcal/mol. van't Hoff estimates of the free energies ranged from -18.5 to -48.0 kcal/mol. With either method, the trends in free energy as a function of sequence were identical. Equilibrium binding by BamHI restriction endonuclease to the 22-base pair DNAs was also investigated. The central eight base pairs of all six molecules, 5'-A-GGATCC-A-3', contained a BamHI recognition sequence bounded by A-T base pairs. Magnesium free binding assays were performed by titering BamHI against a constant concentration of each of the deoxyoligonucleotide substrates and analyzing reaction products by gel retardation. Binding isotherms of the total amount of bound DNA versus protein concentration were constructed which provided semiquantitative estimates of the equilibrium dissociation constants for dissociation of BamHI from the six DNA oligomers. Dissociation constants ranged from 0.5 x 10(-)(9) to 12.0 x 10(-)(9) M with corresponding binding free energies of -12.5 to -10.6 (+/-0. 1) kcal/mol. An inverse relationship is found when binding and stability are compared.     

Temperature adaptation of proteins: engineering mesophilic-like activity and stability in a cold-adapted alpha-amylase

Two multiple mutants of a psychrophilic alpha-amylase were produced, bearing five mutations (each introducing additional weak interactions found in pig pancreatic alpha-amylase) with or without an extra disulfide bond specific to warm-blooded animals. Both multiple mutants display large modifications of stability and activity arising from synergic effects in comparison with single mutations. Newly introduced weak interactions and the disulfide bond confer mesophilic-like stability parameters, as shown by increases in the melting point t(m), in the calorimetric enthalpy DeltaH(cal) and in protection against heat inactivation, as well as by decreases in cooperativity and reversibility of unfolding. In addition, both kinetic and thermodynamic activation parameters of the catalyzed reaction are shifted close to the values of the porcine enzyme. This study confirms the central role of weak interactions in regulating the balance between stability and activity of an enzyme in order to adapt to the environmental temperature.     

Protein folding cooperativity: basic insights from minimalist models

Basic concepts about two-state, cooperative protein folding and its relation to first-order phase transitions are reviewed. Minimalist models capable of reproducing the required free energy barrier between folded and unfolded macroscopic states are described. A significantly more restrictive "calorimetric" criterion is also discussed, which is based on direct comparison between model and experimental heat capacities with additional assumptions about conformational enthalpy variation in the unfolded state.     

Thermal denaturation of spinach plastocyanin: effect of copper site oxidation state and molecular oxygen

The thermal denaturation of the cupredoxin plastocyanin (PC) from spinach has been studied with the aim of improving the understanding of factors involved in the conformational stability of antiparallel beta-sheet proteins. Studies using differential scanning calorimetry have been complemented with nuclear magnetic resonance spectroscopy, absorbance spectroscopy, dynamic light scattering, and mass spectrometry in elucidation of the effect of the copper-site oxidation state on the irreversible thermal denaturation process. Our results indicate that copper-catalyzed oxidation of the metal-ligating cysteine is the sole factor resulting in thermal irreversibility. However, this can be prevented in reduced protein by the removal of molecular oxygen. Application of a two-state equilibrium transition model to the folding process thus allowed the extraction of thermodynamic parameters for the reduced protein (Delta(trs)H = 494 kJ mol(-1), DeltaH(vH) = 343 kJ mol(-1), and T(m) = 71 degrees C). However, anaerobically denatured oxidized protein and all aerobically denatured species undergo covalent modification as a result of the copper-catalyzed oxidation of the metal-ligating cysteine residue resulting in the formation of both oxidized monomers and disulfide-linked dimers. On the basis of these results, a general mechanism for the irreversible thermal denaturation of cupredoxins is proposed. The results presented here also indicate that PC, as opposed to the previously characterized homologous protein azurin, unfolds via at least one significantly populated intermediate state (DeltaH(vH)/Delta(trs)H = 0.7) despite the almost identical native state topologies of these proteins. These findings will aid the characterization of the stability of PC and other cupredoxins and possibly of all cysteine-ligating metal-binding proteins.