Linked thermal and solute perturbation analysis of cooperative domain interactions in proteins. Structural stability of diphtheria toxin

The temperature and guanidine hydrochloride (GuHCl) dependence of the structural stability of diphtheria toxin has been investigated by high-sensitivity differential scanning calorimetry. In 50 mM phosphate buffer at pH 8.0 and in the absence of GuHCl, the thermal unfolding of diphtheria toxin is characterized by a transition temperature (Tm) of 54.9 degrees C, a calorimetric enthalpy change (delta H) of 295 kcal/mol, and a van't Hoff to calorimetric enthalpy ratio of 0.57. Increasing the GuHCl concentration lowers the transition temperature and the calorimetric enthalpy change. At the same time, the van't Hoff to calorimetric enthalpy ratio increases until it reaches a value of 1 at 0.3 M GuHCl and remains constant thereafter. At low GuHCl concentrations (0-0.3 M), the thermal unfolding of diphtheria toxin is characterized by the presence of two transitions corresponding to the A and B domains of the protein. At higher GuHCl concentrations (0.3-1 M), the A domain is unfolded at all temperatures, and only one transition corresponding to the B domain is observed. Under these conditions, the most stable protein conformation at low temperatures is a partially folded state in which the A domain is unfolded and the B domain folded. A general model that explicitly considers the energetics of domain interactions has been developed in order to account for the stability and cooperative behavior of diphtheria toxin. It is shown that this cooperative domain interaction model correctly accounts for the temperature location as well as the shape and area of the calorimetric curves. Under physiological conditions, domain-domain interactions account for most of the structural stability of the A domain.(ABSTRACT TRUNCATED AT 250 WORDS)     

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.     

Temperature dependence of histidine ionization constants in myoglobin

The standard enthalpy of ionization of six titratable histidines in horse metaquomyoglobin was determined by repeating proton NMR titrations as a function of temperature and using the van't Hoff relationship. It was found that deltaH degrees varies between 16 and 37 kJ mol(-1) in the protein, compared with a value of 29 kJ mol(-1) in free histidine. The standard entropy change was evaluated by combining the enthalpy and free energy changes derived from the pKa values. Although the entropy change could not be precisely and accurately obtained by this method, it could be established that it spans a wide range, from -60 to 0 J K(-1) mol(-1), about the value of -23 J K(-1) mol(-1) for the free histidine. The entropy change was used within the framework of enthalpy-entropy compensation to partition the solvation component from the standard thermodynamic quantities for each of the titrating residues. It was shown that the partitioning of the values in the protein is not readily understood in terms of solvent accessibility or electrostatic interactions. The contribution of solvation effects to the temperature response appeared to be significant only in the case of His-119 and His-48. The standard quantities were also used to explore the energetics of proton binding in the native state at temperatures below the onset of thermal denaturation.     

Stoichiometry determination for carbon monoxide binding to Rhodospirillum molischianum cytochrome c'

The stoichiometry of CO ligation to the dimer heme protein Rhodospirillum molischianum cytochrome c' is determined. We have recently measured the enthalpy change of CO ligation to this molecule by the van't Hoff method and found the value of -10.7 +/- 1.2 kcal/mol CO (aqueous) (Doyle, M. L., Weber, P. C., and Gill, S. J. (1985) Biochemistry 24, 1987-1991). In the present paper the enthalpy change of CO ligation, measured directly by titration calorimetry, is found to be -9.5 +/- 0.2 kcal/mol heme. Since the van't Hoff method gives the heat value in units/mole of CO and the calorimetric method gives the heat value in units/mole of heme, the stoichiometry of the reaction is given by the ratio of the two values and found to be 0.9 +/- 0.1, or within experimental error, one CO molecule bound per heme.     

Isothermal acid-titration calorimetry for evaluating the pH dependence of protein stability

A new method, which can be called as isothermal acid-titration calorimetry (IATC), was proposed for evaluating the enthalpy of protein molecules as a function of pH using isothermal titration calorimetry (ITC). This measurement was used to analyze the acid-denaturation of bovine ribonuclease A. The enthalpy change by acid-denaturation of this protein was estimated as 310 kJ/mol at pH 2.8 and 40 degrees C. This value agreed well with the enthalpy change obtained by differential scanning calorimetry. The midpoint pH and proton binding-number difference observed by IATC agreed well with those of the acid transition of the three-dimensional structure monitored by circular dichroism spectrometry. The van't Hoff enthalpy of the transition was derived from the temperature dependence of the midpoint pH and the proton binding-number difference. It agreed well with the calorimetric enthalpy change directly observed by IATC, strongly indicating that there was no stable intermediate state during the acid transition of this protein.     

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.     

Effect of the central disulfide bond on the unfolding behavior of elongation factor Ts homodimer from Thermus thermophilus

Functionally active elongation factor Ts (EF-Ts) from Thermus thermophilus forms a homodimer. The dimerization interface of EF-Ts is composed of two antiparallel beta-sheets that can be connected by an intermolecular disulfide bond. The stability of EF-Ts from T. thermophilus in the presence and absence of the intermolecular disulfide bond was studied by differential scanning calorimetry and circular dichroism. The ratio of the van't Hoff and calorimetric enthalpies, delta H(vH)/delta H(cal), indicates that EF-Ts undergoes thermal unfolding as a dimer independently of the presence or absence of the disulfide bond. This can be concluded from (1) the presence of residual secondary structure above the thermal transition temperature, (2) the absence of concentration dependence, which would be expected for dissociation of the dimer prior to unfolding of the monomers, and (3) a relatively low heat capacity change (delta Cp) upon unfolding. The retained dimeric structure of the thermally denatured state allowed for the determination of the effect of the intermolecular disulfide bond on the conformational stability of EF-Ts, which is deltadelta G(S-S,SH HS) = 10.5 kJ/mol per monomer at 72.5 degrees C. The possible physiological implications of the dimeric EF-Ts structure and of the intersubunit disulfide bond for the extreme conformational stability of proteins in thermophiles are discussed.     

Stability of recombinant Lys25-ribonuclease T1

The conformational stability of recombinant Lys25-ribonuclease T1 has been determined by differential scanning microcalorimetry (DSC), UV-monitored thermal denaturation measurements, and isothermal Gdn.HCl unfolding studies. Although rather different extrapolation procedures are involved in calculating the Gibbs free energy of stabilization, there is fair agreement between the delta G degrees values derived from the three different experimental techniques at pH 5, theta = 25 degrees C: DSC, 46.6 +/- 2.1 kJ/mol; UV melting curves, 48.7 +/- 5 kJ/mol; Gdn.HCl transition curves, 40.8 +/- 1.5 kJ/mol. Thermal unfolding of the enzyme is a reversible process, and the ratio of the van't Hoff and calorimetric enthalpy, delta HvH/delta Hcal, is 0.97 +/- 0.06. This result strongly suggests that the unfolding equilibrium of Lys25-ribonuclease T1 is adequately described by a simple two-state model. Upon unfolding the heat capacity increases by delta Cp degrees = 5.1 +/- 0.5 kJ/(mol.K). Similar values have been found for the unfolding of other small proteins. Surprisingly, this denaturational heat capacity change practically vanishes in the presence of moderate NaCl concentrations. The molecular origin of this effect is not clear; it is not observed to the same extent in the unfolding of bovine pancreatic ribonuclease A, which was employed in control experiments. NaCl stabilizes Lys25-ribonuclease T1. The transition temperature varies with NaCl activity in a manner that suggests two limiting binding equilibria to be operative. Below approximately 0.2 M NaCl activity unfolding is associated with dissociation of about one ion, whereas above that concentration about four ions are released in the unfolding reaction.(ABSTRACT TRUNCATED AT 250 WORDS)     

A thermodynamic study on rA7U7

Ultraviolet absorbance spectroscopy and differential scanning calorimetry were employed to study the heat-induced helix-to-coil transition of the oligoribonucleotide rA7U7. The analysis of concentration-dependent ultraviolet 'melting' profiles was used to derive the van't Hoff transition enthalpy delta HUVvH (-458 kJ/mol cooperative unit). From the DSC data we calculated the calorimetric transition enthalpy delta Hcal (-412.6 kJ/mol duplex) as well as delta HcalvH (-447.9 kJ/mol cooperative unit). For the size of the cooperative unit we obtained lambda approximately 1. In contrast to this result, by means of statistical numerical deconvolution we show that intermediate states are significantly populated; at the maximum the fraction of these states reaches 25.4% of the total population. Therefore, this DSC-deconvolution technique offers a more appropriate way to register amounts of populated intermediate states which are not sufficient to obtain a value of lambda which is essentially lower than unity.     

Analysis of the two-state behavior of the thermal unfolding serum retinol binding protein containing a single retinol ligand.

Through the use of CD and DSC, the thermal unfolding of holo serum retinol binding protein containing a single, tightly bound retinol ligand was studied at pH 7.4. The DSC endotherm of the holoprotein ([retinol]/[protein] = 1) was asymmetric about the transition temperature of 78 degrees C. Using changes in ellipticity at 230 nm, the thermal unfolding curve was also asymmetric about the inflection point centered near 78 degrees C. van't Hoff enthalpies were determined by three means and compared to the calorimetric enthalpy (delta Hcal) of 200 kcal/mol. A van't Hoff enthalpy of 190 kcal/mol was determined from the dependence of transition temperature on the concentration of the ligand-bound protein. This value agreed well with the van't Hoff enthalpies found from fits of the DSC (delta HvH = 184 kcal/mol) and spectroscopic (delta HvH = 181 kcal/mol) curves to a two-state thermodynamic model that included ligand dissociation (NR in equilibrium with U+R, where NR is the native holoprotein, U is the unfolded apoprotein, and R is retinol). Poor agreement was obtained with a two-state model that ignored ligand dissociation (N in equilibrium with U). Furthermore, the NR in equilibrium with U+R model accounted for the asymmetry in both CD and DSC transitions and yielded a much improved fit of the data over the N in equilibrium with U model. From these considerations and simulations on other equilibrium models, it is suggested that the NR in equilibrium with U+R model is the simplest model that describes the thermal unfolding of this ligand-bound protein.(ABSTRACT TRUNCATED AT 250 WORDS)     

Calorimetric measurements of thermal denaturation of stefins A and B. Comparison to predicted thermodynamics of stefin-B unfolding.

Thermal denaturation of two homologous proteins, low-M(r) cysteine-proteinase inhibitors stefins A and B, has been investigated by microcalorimetry. Calorimetric enthalpies, as well as the temperatures at maximum heat capacity, were determined as a function of pH for each protein. Transitions were found reversible at all pH values examined (5.0, 6.5, 8.1) for the thermally more stable stefin A, in contrast to stefin B. Stefin B shows a sharp irreversible transition around 65 degrees C at pH 6.5 and 8.1, probably due to unfolding of a dimeric state followed by oligomerisation. At pH 5.0, both proteins exhibit a reversible transition with temperatures of half-denaturation at 50.2 degrees C and 90.8 degrees C for stefins B and A, respectively. The calorimetric enthalpies, which equal the van't Hoff enthalpies to within 10%, are 293 kJ/mol and 490 kJ/mol for stefins B and A, respectively. Using the predictive method of Ooi and Oobatake (1991) [Proc. Natl Acad. Sci. USA 88, 2859] the thermodynamic functions of unfolding were calculated for stefin B, whose three-dimensional structure has been determined. The calculated enthalpy, heat-capacity change on unfolding and the temperature of half denaturation compare well to the microcalorimetric data.     

Calorimetric,density and circular dichroism studies of the reversible structural transition in Pf1 filamentous bacterial virus

The macromolecular structural transition of Pf1 filamentous bacterial virus detected by X-ray diffraction analysis has been studied in virus solutions by density, circular dichroism, and microcalorimetric measurements. The reversible structural change occurring between 5 °C and 25 °C has a calorimetrically determined transition enthalpy ΔH_t,cal of 14·5 ± 1.5 kJ (mol protein)^?1. The transition curves resulting from the density, circular dichroism, and calorimetric measurements have been analysed in terms of a two-state process to extract the van't Hoff enthalpy. Comparison of the effective transition enthalpy and the calorimetric ΔH_t,cal values gives about 26 protein subunits as the size of the co-operative unit. Parallel heat capacity and density measurements on fd virus show no such transition, in agreement with X-ray diffraction studies.     

Thermal denaturation of porcine pepsin: a study by circular dichroism

Thermal denaturation of porcine pepsin in 10% ethanol was studied by circular dichroism (CD) spectroscopy. It was observed that the process is markedly irreversible. The denaturation unfolding process was strongly dependent on the heating rate, as is expected for an unfolding process kinetically controlled due to the presence of an irreversible reaction. Experimentally, we demonstrate the existence of an unfolded (U) state in equilibrium with the native (N) state. The U state is observed to exist at temperatures lower than 45 degrees C. The van't Hoff enthalpy, DeltaH(vH), was determined from direct estimation of the equilibrium constant at several temperatures (DeltaH(vH)=304.3 kJ/mol). To explain the observed behavior, we have considered a Lumry-Eyring model, which takes into account the presence of the U state in addition to N and denatured (D) states (i.e. N<-->U-->D).     

pH dependence thermal stability of a chymotrypsin inhibitor from Schizolobium parahyba seeds

The thermal stability of a Schizolobium parahyba chymotrypsin inhibitor (SPCI) as a function of pH has been investigated using fluorescence, circular dichroism, and differential scanning calorimetry (DSC). The thermodynamic parameters derived from all methods are remarkably similar and strongly suggest the high stability of SPCI under a wide range of pH. The transition temperature (T(m)) values ranging from 57 to 85.3 degrees C at acidic, neutral, and alkaline pH are in good agreement with proteins from mesophilic and thermophilic organisms and corroborate previous data regarding the thermal stability of SPCI. All methods gave transitions curves adequately fitted to a two-state model of the unfolding process as judged by the cooperative ratio between the van't Hoff and the calorimetric enthalpy energies close to unity in all of the pH conditions analyzed, except at pH 3.0. Thermodynamic analysis using all these methods reveals that SPCI is thermally a highly stable protein, over the wide range of pH from 3.0 to 8.8, exhibiting high stability in the pH region of 5.0-7.0. The corresponding maximum stabilities, DeltaG(25), were obtained at pH 7.0 with values of 15.4 kcal mol(-1) (combined fluorescence and circular dichroism data), and 15.1 kcal mol(-1) (DSC), considering a DeltaC(p) of 1.72 +/- 0.24 kcal mol(-1) K(-1). The low histidine content ( approximately 1.7%) and the high acidic residue content ( approximately 22.5%) suggests a flat pH dependence of thermal stability in the region 2.0-8.8 and that the decrease in thermal stability at low pH can be due to the differences in pK values of the acidic groups.     

A scanning calorimetric study of the thermal denaturation of the lysozyme of phage T4 and the Arg 96----His mutant form thereof

High-sensitivity scanning calorimetry has been employed to study the reversible thermal unfolding of the lysozyme of T4 bacteriophage and of its mutant form Arg 96----His in the pH range 1.80-2.84. The values for t1/2, the temperature of half-denaturation, in degrees Celsius and for the enthalpy of unfolding in kilocalories per mole are given by (standard deviations in parentheses) wild type t1/2 = 9.63 + 14.41 pH (+/- 0.58) delta Hcal = 5.97 + 2.33t (+/- 4.20) mutant form t1/2 = -19.84 + 21.31 pH (+/- 0.51) delta Hcal = -8.58 + 2.66t (+/- 4.48) At any temperature within the range -20 to 60 degrees C, the free energy of unfolding of the mutant form is more negative than that of the wild type by 3-5 kcal mol-1, indicating an apparent destabilization resulting from the arginine to histidine replacement. The ratio of the van't Hoff enthalpy to the calorimetric enthalpy deviates from unity, the value expected for a simple two-state process, by +/- 0.2 depending on the pH. It thus appears that the nature of the unfolding of T4 lysozyme varies with pH in unknown manner. This complication does not invalidate the values reported here for the temperature of half-completion of unfolding, the calorimetric enthalpy, the heat capacity change, or the free energy of unfolding.     

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.     

Positive heat capacity change upon specific binding of translation initiation factor eIF4E to mRNA 5' cap

Specific recognition of the mRNA 5' cap by eukaryotic initiation factor eIF4E is a rate-limiting step in the translation initiation. Fluorescence spectroscopy and high-sensitivity isothermal titration calorimetry were used to examine the thermodynamics of eIF4E binding to a cap-analogue, 7-methylGpppG. A van't Hoff plot revealed nonlinearity characterized by an unexpected, large positive molar heat capacity change (DeltaC(degree)(p) = +1.92 +/- 0.93 kJ.mol(-1).K(-1)), which was confirmed by direct ITC measurements (DeltaC(degree)(p) = +1.941 +/- 0.059 kJ.mol(-1).K(-1)). This unique result appears to come from an extensive additional hydration upon binding and charge-related interactions within the binding site. As a consequence of the positive DeltaC(degree)(p), the nature of the thermodynamic driving force changes with increasing temperature, from enthalpy-driven and entropy-opposed, through enthalpy- and entropy-driven in the range of biological temperatures, into entropy-driven and enthalpy-opposed. Comparison of the van't Hoff and calorimetric enthalpy values provided proof for the ligand protonation at N(1) upon binding, which is required for tight stabilization of the cap-eIF4E complex. Intramolecular self-stacking of the dinucleotide cap-analogue was analyzed to reveal the influence of this coupled process on the thermodynamic parameters of the eIF4E-mRNA 5' cap interaction. The temperature-dependent change in the conformation of 7-methylGpppG shifts significantly the intrinsic DeltaH(degree)(0) = -72.9 +/- 4.2 kJ.mol(-1) and DeltaS(degree)(0) = -116 +/- 58 J.mol(-1).K(-1) of binding to the less negative resultant values, by DeltaH(degree)(sst) = +9.76 +/- 1.15 kJ.mol(-1) and DeltaS(degree)(sst) = +24.8 +/- 2.1 J.mol(-1).K(-1) (at 293 K), while the corresponding DeltaC(degree)(p)(sst) = -0.0743 +/- 0.0083 kJ.mol(-1).K(-1) is negligible in comparison with the total DeltaC(degree)(p) .     

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

Isothermal calorimetric titration of 18-crown-6 ether with BaCl2 in pure aqueous solution over the temperature range 7-40 degrees C gives precise binding constants and enthalpy changes. Nonlinear least-squares fitting of the binding constants to the integrated van't Hoff equation, including a temperature-independent change in heat capacity, leads to van't Hoff enthalpies that differ significantly from the observed calorimetric enthalpies. This perplexing discrepancy appears at present to be very widely occurring.     

Enthalpic and entropic contributions to actin stability: calorimetry, circular dichroism, and fluorescence study and effects of calcium

The delta H associated with the thermal unfolding of G-actin has been determined by differential scanning calorimetry (DSC) to be 142 +/- 5 kcal/mol, with the Tm (melting temperature) at 57.2 +/- 0.5 degrees C, at pH 8.0 (heating rate 0.5 K/min). The transition is broad and cannot be treated as a single transition that mimics a two-state process, suggesting the existence of domains. Deconvolution is done to fit it into two quasi-independent two-state transitions. For F-actin, the transition is more cooperative, with a cooperative ratio (the ratio of van't Hoff enthalpy and calorimetric enthalpy) of 1.4, indicating intermonomer interaction. The delta H of the thermal unfolding of F-actin is 162 +/- 10 kcal/mol with a Tm at 67.0 +/- 0.5 degrees C. A state of G-actin similar to that of the heat-denatured form, designated D-actin, is obtained by removing tightly bound Ca2+ with EGTA. The DSC-detectable cooperative transition is completely lost when the free calcium concentration of the medium is 1 x 10(-11) M or lower, using a Ca2+/EGTA buffer system. However, circular dichroism (CD) shows that the helix content of actin, 32% in the G-form, is only partially reduced to 19% in this apo form. The CD spectrum and the helix content of the calcium-depleted actin are almost identical with those of the heat-denatured D form. This loss of 40% of the native helical content is irreversible in both cases. The remaining 60% of the native helical content cannot be further eliminated by heating to 95 degrees C.(ABSTRACT TRUNCATED AT 250 WORDS)     

Thermodynamics of unfolding of beta-trypsin at pH 2.8

The unfolding equilibrium of beta-trypsin induced by thermal and chemical denaturation was thermodynamically characterized. Thermal unfolding equilibria were monitored using UV absorption and both far- and near-UV CD spectroscopy, while fluorescence was used to monitor urea-induced transitions. Thermal and urea transition curves are reversible and cooperative and both sets of data can be reasonably fitted using a two-state model for the unfolding of this protein. Plots of the fraction denatured, calculated from thermal denaturation curves at different wavelengths, versus temperature are coincident. In addition, the ratio of the enthalpy of denaturation obtained by scanning calorimetry to the van't Hoff enthalpy is close to unity, which supports the two-state model. Considering the differences in experimental approaches, the value for the stability of beta-trypsin estimated from spectroscopic data (deltaGu = 6.0 +/- 0.2 kcal/mol) is in reasonable agreement with the value calculated from urea titration curves (deltaGUH2O = 5.5 +/- 0.3 kcal/mol) at pH 2.8 and 300 degrees K.