Stability parameters for one-step mechanism of irreversible protein denaturation: a method based on nonlinear regression of calorimetric peaks with nonzero deltaCp

Thermal transitions of many proteins have been found to be calorimetrically irreversible and scan-rate dependent. Calorimetric determinations of stability parameters of proteins which unfold irreversibly according to a first-order kinetic scheme have been reported. These methods require the approximation that the increase in heat capacity upon denaturation deltaCp is zero. A method to obtain thermodynamic parameters and activation energy for the two-state irreversible process N --> D from nonlinear fitting to calorimetric traces is proposed here. It is based on a molar excess heat capacity function which considers irreversibility and a nonzero constant deltaCp. This function has four parameters: (1) temperature at which the calorimetric profile reaches its maximal value (Tm), (2) calorimetric enthalpy at Tm (deltaHm), (3) deltaCp, and (4) activation energy (E). The thermal irreversible denaturation of subtilisin BPN' from Bacillus amyloliquefaciens was studied by differential scanning calorimetry at pH 7.5 to test our model. Transitions were found to be strongly scanning-rate dependent with a mean deltaCp value of 5.7 kcal K(-1)mol(-1), in agreement with values estimated by accessible surface area and significantly higher than a previously reported value.     

The kinetics of periodate oxidation of carbohydrates 2. Polymeric substrates

A study of the kinetics of periodate oxidation on a series of dextran oligomers and polymers is carried out by isothermal microcalorimetry. In addition to these substrates, some dimeric carbohydrates and hyaluronan were studied. Rate constants were calculated from the calorimetric decay curves, which, properly corrected for calorimetric response, are proportional to the rate of periodate conversion. The dependence of the kinetic rates on the molecular weight of dextran samples and on the substrate concentration, is described in terms of the much higher rates of terminal reducing units. The presence of two sites with comparable reaction rates makes the analysis of the calorimetric curves difficult, even in the simple overall pseudo-first-order condition. The suitability of a phenomenological treatment of kinetic data is explored.     

Kinetic study on the irreversible thermal denaturation of yeast phosphoglycerate kinase

Differential scanning calorimetry transitions for the irreversible thermal denaturation of yeast phosphoglycerate kinase at pH 7.0 are strongly scanning-rate dependent, suggesting that the denaturation is, at least in part, under kinetic control. To test this possibility, we have carried out a kinetic study on the thermal inactivation of the enzyme. The inactivation kinetics are comparatively fast within the temperature range of the calorimetric transitions and can be described phenomenologically by the equation dC/dt = -alpha C2/(beta + C), where C is the concentration of active enzyme at a given time, t, and alpha and beta are rate coefficients that depend on temperature. This equation, together with the values of alpha and beta (within the temperature range 50-59 degrees C) have allowed us to calculate the fraction of irreversibly denatured protein versus temperature profiles corresponding to the calorimetric experiments. We have found that (a) irreversible denaturation takes place during the time the protein spends in the transition region and (b) there is an excellent correlation between the temperatures of the maximum of the calorimetric transitions (Tm) and the temperatures (Th) at which half of the protein is irreversibly denatured. These results show that the differential scanning calorimetry transitions for the denaturation of phosphoglycerate kinase are highly distorted by the rate-limited irreversible process. Finally, some comments are made as to the use of equilibrium thermodynamics in the analysis of irreversible protein denaturation.     

Calorimetric determination of inactivation parameters of micro-organisms

AIMS: This study aimed to apply differential scanning calorimetry (DSC) to evaluate the thermal inactivation kinetics of bacteria. METHODS AND RESULTS: The apparent enthalpy (DeltaH) of Escherichia coli cells was evaluated by a temperature scan in a DSC after thermal pretreatment in the calorimeter to various temperatures between 56 and 80 degrees C. Conventional semilogarithmic survival curve analysis was combined with a linearly increasing temperature protocol. Calorimetrically determined D and z values were compared to those obtained from plate count data collected under isothermal conditions to validate the new approach. CONCLUSIONS: The calculated D values using both apparent enthalpy and viability data for cells heat treated in the DSC were similar to the D values obtained from isothermal treatment. Temperatures for 1 through 10-log microbial population reductions, calculated from plate count and enthalpy data, were in agreement within 0.5-2.4 degrees C at a 4 degrees C min-1 heating rate. SIGNIFICANCE AND IMPACT OF THE STUDY: This novel calorimetric method provides an approach to obtain accurate and reproducible kinetic parameters for inactivation. The calorimetric method here described is time efficient and is conducted under conditions similar to food processing conditions.     

Differential scanning calorimetry of the irreversible thermal denaturation of thermolysin

A differential scanning calorimetry study of the thermal denaturation of Bacillus thermoproteolyticus rokko thermolysin was carried out. The calorimetric traces were found to be irreversible and highly scan-rate dependent. The shape of the thermograms, as well as their scan-rate dependence, can be explained by assuming that the thermal denaturation takes place according to the kinetic scheme N k----D, where k is a first-order kinetic constant that changes with temperature, as given by the Arrhenius equation, N the native state, and D the unfolded state or, more probably, a final state, irreversibly arrived at from the unfolded one. On the basis of this model, the value of the rate constant as a function of temperature and the activation energy have been calculated. It is shown that the proposed model may be considered as being one particular case of that proposed by Lumry and Eyring [Lumry, R., & Eyring, H. (1954) J. Phys. Chem. 58, 110] N in equilibrium D----I, where N is the native state, D the unfolded one, and I a final state, irreversibly arrived at from D. Lastly, some comments are made on the use of the scan-rate effect on the calorimetric traces as an equilibrium criterion in differential scanning calorimetry.     

Irreversible thermal denaturation of Torpedo californica acetylcholinesterase.

Thermal denaturation of Torpedo californica acetylcholinesterase, a disulfide-linked homodimer with 537 amino acids in each subunit, was studied by differential scanning calorimetry. It displays a single calorimetric peak that is completely irreversible, the shape and temperature maximum depending on the scan rate. Thus, thermal denaturation of acetylcholinesterase is an irreversible process, under kinetic control, which is described well by the two-state kinetic scheme N-->D, with activation energy 131 +/- 8 kcal/mol. Analysis of the kinetics of denaturation in the thermal transition temperature range, by monitoring loss of enzymic activity, yields activation energy of 121 +/- 20 kcal/mol, similar to the value obtained by differential scanning calorimetry. Thermally denatured acetylcholinesterase displays spectroscopic characteristics typical of a molten globule state, similar to those of partially unfolded enzyme obtained by modification with thiol-specific reagents. Evidence is presented that the partially unfolded states produced by the two different treatments are thermodynamically favored relative to the native state.     

Calorimetry of enzyme-catalyzed reactions

This mini-review shows the valuable contributions of Professor Julian Sturtevant to the current applications of calorimetry to the study of enzyme-catalyzed reactions. The more recent applications of calorimetric techniques such as isothermal titration calorimetry and flow calorimetry to the study of enzyme kinetics, as well as the advantages on using calorimetric techniques in the determination of kinetic parameters of enzymes, is also discussed here.     

Heat-induced denaturation and aggregation of ovalbumin at neutral pH described by irreversible first-order kinetics

The heat-induced denaturation kinetics of two different sources of ovalbumin at pH 7 was studied by chromatography and differential scanning calorimetry. The kinetics was found to be independent of protein concentration and salt concentration, but was strongly dependent on temperature. For highly pure ovalbumin, the decrease in nondenatured native protein showed first-order dependence. The activation energy obtained with different techniques varied between 430 and 490 kJ*mole(-1). First-order behavior was studied in detail using differential scanning calorimetry. The calorimetric traces were irreversible and highly scan rate-dependent. The shape of the thermograms as well as the scan rate dependence can be explained by assuming that the thermal denaturation takes place according to a simplified kinetic process where N is the native state, D is denatured (or another final state) and k a first-order kinetic constant that changes with temperature, according to the Arrhenius equation. A kinetic model for the temperature-induced denaturation and aggregation of ovalbumin is presented. Commercially obtained ovalbumin was found to contain an intermediate-stable fraction (IS) of about 20% that was unable to form aggregates. The denaturation of this fraction did not satisfy first-order kinetics.     

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.     

An Irreversible and Kinetically Controlled Process: Thermal Induced Denaturation of <Emphasis Type="SmallCaps">L</Emphasis>-2-Hydroxyisocaproate Dehydrogenase from <Emphasis Type="Italic">Lactobacillus confusus</Emphasis>

The thermal denaturation of Lactobacillus confusus l-2-Hydroxyisocaproate Dehydrogenase (l-HicDH) has been studied by Differential Scanning Calorimetry (DSC). The stability of this enzyme has been investigated at different pH conditions. The results of this study indicate that the thermal denaturation of this enzyme is irreversible and the T _m is dependent on the scan-rate, which suggests that the denaturation process of l-HicDH is kinetically determined. The heat capacity function of l-HicDH shows a single peak with the T _m values between 52.14°C and 55.89°C at pH 7.0 at different scan rates. These results indicate that the whole l-HicDH could unfold as a single cooperative unit, and intersubunit interactions of this homotetrameric enzyme must play a significant role in the stabilization of the whole enzyme. The rate constant of the unfolding is analyzed as a first order kinetic constant with the Arrhenius equation, and the activation energy has been calculated. The variation of the activation energy values obtained with different methods does not support the validity of the one-step irreversible model. The denaturation pathway was described by a three-state model, N → U → F, in which the dissociation of the tetramer takes place as an irreversible step before the irreversible unfolding of the monomers. The calorimetric enthalpy associated with the irreversible dissociation and the calorimetric enthalpy associated with the unfolding of the monomer were obtained from the best fitting procedure. Thermal unfolding of l-HicDH was also studied using Circular Dichroism (CD) spectroscopy. Both methods yielded comparable values.     

Characterization of the binding of isoniazid and analogues to Mycobacterium tuberculosis catalase-peroxidase

The first-line antituberculosis drug isonicotinic hydrazide (INH) is a prodrug whose bactericidal function requires activation by Mycobacterium tuberculosis catalase-peroxidase (KatG) to produce an acyl-NAD adduct. Peroxidation of INH is considered a required catalytic process for drug action. The binding of INH and a series of hydrazide analogues to resting KatG was examined using optical and calorimetric techniques to provide thermodynamic parameters, binding stoichiometries, and kinetic constants (on and off rates). This work revealed high-affinity binding of these substrates to a small fraction of ferric enzyme in a six-coordinate heme iron form, a species most likely containing a weakly bound water molecule, which accumulates during storage of the enzyme. The binding of hydrazides is associated with a large enthalpy loss (>100 kcal/mol); dissociation constants are in the range of 0.05-1.6 microM, and optical stopped-flow measurements demonstrated kon values in the range of 0.5-27 x 10(3) M-1 s-1 with very small koff rates. Binding parameters did not depend on pH in the range 5-8. High-affinity binding of INH is disrupted in two mutant enzymes bearing replacements of key distal side residues, KatG[W107F] and KatG[Y229F]. The rates of reduction of KatG Compound I by hydrazides parallel the on rates for association with the resting enzyme. In a KatG-mediated biomimetic activation assay, only isoniazid generated in good yield the acyl-NAD adduct which is considered a key molecule in INH action, providing a better understanding of the action mechanism of INH.     

Investigation of kinetics of immobilized liver esterase by flow calorimetry

Flow calorimetry (FC) was shown to be a powerful tool for investigation of the kinetics of phenyl acetate hydrolysis catalyzed by pig liver carboxyl esterase. The enzyme was immobilized in alginate gel particles that were placed in a calorimetric flow column and the heat effect of enzyme reaction was followed in single flow and total recirculation conditions. It was shown that the registered temperature change was proportional to molar amount of substrate transformed in the column. A mathematical model describing the enzyme reaction, mass transfer, and heat effects in the calorimetric system was developed and used for the kinetic data evaluation. By combining data from single flow and recirculation modes true kinetic parameters were evaluated by the proposed mathematical procedure based on the model solution and successive approximations.

The kinetic data for carboxyl esterase showed a slide substrate inhibition by phenyl acetate. The obtained kinetic parameters were as follows: Michaelis constant K_m=2 mmol dm⁻³ and substrate inhibition constant K_i=42 mmol dm⁻³. The method can be applied to kinetic study of immobilized enzymes directly in the flow calorimeter without any requirement of an independent analytical technique.     

The potential use of microcalorimetry in predictive tests of the action of antineoplastic drugs on mammalian cells

The effect of methotrexate (MTX) on cultured T-lymphoma cells in a growing suspension was measured by microcalorimetry. The effect of the drug could be observed within 2 h after its injection into the calorimetric vessel. A dose-response curve was constructed from the calorimetric results obtained with final concentrations of MTX in the range of 0.02-2.00 microM. In another series of experiments calorimetric values were determined after 8 h of MTX-cell interaction. These data were correlated with values for cell counts during an 18 h period following the removal of the drug. A clear correlation was found between the calorimetric and cytotoxicity data. Calorimetric results obtained within 8 h of MTX-cell interaction appear to be of value in predicting the antineoplastic effect of the drug.     

Kinetic study into the irreversible thermal denaturation of bacteriorhodopsin

We report on a differential scanning calorimetry study of native purple membranes under the following solvent conditions: 50 mM carbonate-bicarbonate, 100 mM NaCl, pH 9.5 and 190 mM phosphate, pH 7.5. The calorimetric transitions for bacteriorhodopsin denaturation are highly scanning-rate dependent, which indicates that the thermal denaturation is under kinetic control. This result is confirmed by a spectrophotometric study on the kinetics of the thermal denaturation of this protein. The calorimetric data at pH 9.5 conform to the two-state irreversible model. Comments are made regarding the information obtainable from differential scanning calorimetry studies on bacteriorhodopsin denaturation and the effect of irreversibility on the stability of membrane proteins. Correspondence to: J. M. Sanchez-Ruiz     

The feasibility of determining kinetic constants from isothermal titration calorimetry data

Isothermal titration calorimetry (ITC) has long been established as an excellent means to determine the thermodynamic parameters of biomolecular interactions. More recently, efforts have focused on exploiting the power/time trace (the “thermogram”) resulting from ITC experiments to glean kinetic association and dissociation rates for these interactions. The success of such analyses rests on the ability of algorithms to simulate with high accuracy the output of the calorimeter. Thus, several critical factors must be taken into account: the injection protocol, the kinetics of the interaction, accurate discovery of the instrumental response to heat signals, and the addition of unrelated signals. All of these aspects of extracting kinetic constants from thermograms have been considered and addressed in the current work. To validate the resultant methods, we performed several ITC experiments, titrating small-molecule inhibitors into solutions of bovine carbonic anhydrase II or titrating lysozyme into solutions of anti-lysozyme nanobodies. We found that our methods could arrive at kinetic constants that were close to the known values for these interactions taken from other methods. Finally, the effort to improve ITC kinetic characterizations uncovered a set of best practices for both the calorimetric experiment and the subsequent analyses (termed “kinetically optimized ITC” or “KO-ITC”) that is detailed in this work.     

Effect of Zn2+ on the thermal denaturation of carboxypeptidase B

A differential scanning calorimetry study on the thermal denaturation of porcine pancreas carboxypeptidase B (in 20 mM pyrophosphate buffer, pH 9.0) has been carried out. The calorimetric transitions have been found to be calorimetrically irreversible and to depend on the Zn2+ concentration in the buffer. The effect of the Zn2+ concentration on the temperatures corresponding to maximum heat capacity appears to conform the dictates of the van't Hoff equation. In spite of this, analysis of the scanning rate effect on the transitions, together with studies on the thermal inactivation kinetics, show that the heat absorption is entirely determined by the rate of formation of the final (irreversibly denatured) state of the protein; therefore, analysis of the calorimetric transitions according to equilibrium thermodynamics models is not permissible. The effect of Zn2+ on the calorimetric transitions can be explained on the basis of a simple kinetic model that does not assume chemical equilibrium to be established between the significantly populated states of the protein.     

Construction of a Promoter-cloning Vector in Pseudomonas aeruginosa

Computer simulations were employed to reconstruct the growth thermograms that are observable for microbial cultures in batch calorimeters having a culture vessel in the calorimetric unit. Differential equations were derived to characterize the heat evolution process on the basis of Monod’s growth equation with some modification. Theoretical growth thermograms were compared with actually observed calorimetric recordings and it was shown that the heat effect due to the microbial cells can be well reproduced for both non-growing and growing cultures of bakers’ yeast. It is concluded that the method used here gives a reasonable characterization of the thermograms observed for microbial cultures in a batch calorimeter, indicating the possibility of determining the appropriate kinetic parameters from calorimeter recordings by a parameter-fitting method.     

Transition state of the rate-limiting step of heat denaturation of Cry3A delta-endotoxin

Heat denaturation of Cry3A delta-endotoxin from Bacillus thuringiensis var. tenebrionis and its 55 kDa fragment was studied by differential scanning microcalorimetry at low pH. Analysis of the calorimetric data has shown that denaturation of Cry3A delta-endotoxin is a nonequilibrium process at heating rates from 0. 125 to 2 K/min. This means that the stability of delta-endotoxin (the apparent temperature of denaturation Tm) under these conditions is under kinetic control rather than under thermodynamic control. It has been shown that heat denaturation of this protein is a one-step kinetic process. The enthalpy of the process and its activation energy were measured as functions of temperature. The data obtained allow confirmation of the fact that the conformation of delta-endotoxin at the transition state only slightly differs from its native conformation with respect to compactness and extent of hydration. The comparison of the activation energy for intact delta-endotoxin and the 55 kDa fragment showed that the transition of the molecule to a transition state does not cause any changes in the conformation of three N-terminal alpha-helices. Complete removal of the N-terminal domain of delta-endotoxin and 40 amino acids from the C-terminus beta-sheet domain III causes an irreversible loss of the tertiary structure. Thus, during protein folding the nucleation core determining protein stability does not involve its three initial alpha-helices but may include the remaining alpha-helices of the N-terminal domain. The functional significance of peculiarities of structure arrangement of the delta-endotoxin molecule is discussed.     

Poly(ethylene glycol)-induced fusion and destabilization of human plasma high-density lipoproteins

High-density lipoproteins (HDL) are macromolecular complexes of specific proteins and lipids that mediate the removal of cholesterol from peripheral tissues. Chemical unfolding revealed that HDL fusion and rupture are the two main kinetic steps in HDL denaturation. Here we test the hypothesis that lipid fusogens such as poly(ethylene glycol) (PEG) may promote lipoprotein fusion and rupture and thereby destabilize HDL. We analyze thermal disruption of spherical HDL in 0-15% PEG-8000 by calorimetric, spectroscopic, electron microscopic, and light scattering techniques. We demonstrate that the two irreversible high-temperature endothermic HDL transitions involve particle enlargement and show a heating rate dependence characteristic of kinetically controlled reactions with high activation energy. The first calorimetric transition reflects HDL fusion and dissociation of lipid-poor apolipoprotein A-1 (apoA-1), and the second transition reflects HDL rupture and release of the apolar lipid core. Neither transition involves substantial protein unfolding; thus, the transition heat originates from lipid and/or protein dissociation and repacking. At room temperature, PEG-8000 induces HDL fusion that is distinct from the heat-, denaturant-, or enzyme-induced fusion since it leads to formation of larger particles and does not involve apoA-1 dissociation. Increasing the PEG concentration in solution from 0 to 15% leads to low-temperature shifts by approximately -18 degrees C in the two calorimetric HDL transitions without altering their nature. Thus, consistent with our hypothesis, PEG-8000 induces fusion and reduces the thermal stability of HDL. Our results suggest that PEG is useful for the analysis of the molecular events involved in metabolic HDL remodeling and fusion.     

A potential role for isothermal calorimetry in studies of the effects of thermodynamic non-ideality in enzyme-catalyzed reactions

Attention is drawn to the feasibility of using isothermal calorimetry for the characterization of enzyme reactions under conditions bearing greater relevance to the crowded biological environment, where kinetic parameters are likely to differ significantly from those obtained by classical enzyme kinetic studies in dilute solution. An outline of the application of isothermal calorimetry to the determination of enzyme kinetic parameters is followed by considerations of the nature and consequences of crowding effects in enzyme catalysis. Some of those effects of thermodynamic non-ideality are then illustrated by means of experimental results from calorimetric studies of the effect of molecular crowding on the kinetics of catalysis by rabbit muscle pyruvate kinase. This review concludes with a discussion of the potential of isothermal calorimetry for the experimental determination of kinetic parameters for enzymes either in biological environments or at least in media that should provide reasonable approximations of the crowded conditions encountered in vivo.