Cold denaturation of alpha-lactalbumin

We have investigated the thermal unfolding of bovine alpha-lactalbumin by means of circular dichroism spectroscopy in the far- and near-ultraviolet regions, and shown that the native alpha-lactalbumin undergoes heat and cold denaturation. The guanidine hydrochloride-induced unfolding of alpha-lactalbumin was also investigated by circular dichroism spectroscopy at various temperatures from 261 to 318 K. It is shown that the population of the molten globule state is strongly dependent on temperature and that the molten globule state does not accumulate during the guanidine hydrochloride-induced unfolding transition at 261 K. Our results indicate that the molten globule state of alpha-lactalbumin undergoes cold denaturation as the native alpha-lactalbumin does, and that the heat capacity change of unfolding from the molten globule to the unfolded state is positive and significant. The present results further support the idea that the molten globule and the unfolded states do not belong to the same thermodynamic state, and that the native, molten globule and unfolded states are sufficient for interpreting the guanidine hydrochloride-induced unfolding behavior of alpha-lactalbumin.     

Energetic basis of structural stability in the molten globule state: alpha-lactalbumin

The denatured states of alpha-lactalbumin, which have features of a molten globule state, have been studied to elucidate the energetics of the molten globule state and its contribution to the stability of the native conformation. Analysis of calorimetric and CD data shows that the heat capacity increment of alpha-lactalbumin denaturation highly correlates with the degree of disorder of the residual structure of the state. As a result, the denaturational transition of alpha-lactalbumin from the native to a highly ordered compact denatured state, and from the native to the disordered unfolded state are described by different thermodynamic functions. The enthalpy and entropy of the denaturation of alpha-lactalbumin to compact denatured state are always greater than the enthalpy and entropy of its unfolding. This difference represents the unfolding of the molten globule state. Calorimetric measurements of the heat effect associated with the unfolding of the molten globule state reveal that it is negative in sign over the temperature range of molten globule stability. This observation demonstrates the energetic specificity of the molten globule state, which, in contrast to a protein with unique tertiary structure, is stabilized by the dominance of negative entropy and enthalpy of hydration over the positive conformational entropy and enthalpy of internal interactions. It is concluded that at physiological temperatures the entropy of dehydration is the dominant factor providing stability for the compact intermediate state on the folding pathway, while for the stability of the native state, the conformational enthalpy is the dominant factor.     

Calorimetric studies of the thermal denaturation of cytochrome c peroxidase

Two endotherms are observed by differential scanning calorimetry during the thermal denaturation of cytochrome c peroxidase at pH 7.0. The transition midpoint temperatures (tm) were 43.9 +/- 1.4 and 63.3 +/- 1.6 degrees C, independent of concentration. The two endotherms were observed at all pH values between 4 and 8, with the transition temperatures varying with pH. Precipitation was observed between pH 4 and 6, and only qualitative data are presented for this region. The thermal unfolding of cytochrome c peroxidase was sensitive to the presence and ligation state of the heme. Only a single endotherm was observed for the unfolding of the apoprotein, and this transition was similar to the high-temperature transition in the holoenzyme. Addition of KCN to the holoenzyme increases the midpoint of the high-temperature transition whereas the low-temperature transition was increased upon addition of KF. Binding of the natural substrate ferricytochrome c to the enzyme increases the low-temperature transition by 4.8 +/- 1.3 degrees C but has no effect on the high-temperature transition at pH 7. The presence of cytochrome c peroxidase decreases the stability of cytochrome c, and both proteins appear to unfold simultaneously. The results are discussed in terms of the two domains evident in the X-ray crystallographic structure of cytochrome c peroxidase.     

Linear free-energy model description of the conformational stability of uracil-DNA glycosylase inhibitor A thermodynamic characterization of interaction with denaturant and cold denaturation.

The equilibrium unfolding of uracil DNA glycosylase inhibitor (Ugi), a small acidic protein of molecular mass 9474 Da, has been studied by a combination of thermal-induced and guanidine hydrochloride (GdnCl)-induced denaturation. The analysis of the denaturation data provides a measure of the changes in conformational free energy, enthalpy, entropy and heat capacity DeltaCp that accompany the equilibrium unfolding of Ugi over a wide range of temperature and GdnCl concentration. The unfolding of Ugi is a simple two-state, reversible process. The protein undergoes both low-temperature and high-temperature unfolding even in the absence of GdnCl but more so in the presence of denaturant. The data are consistent with the linear free-energy model and with a temperature independent DeltaCp over the large temperature range of unfolding. The small DeltaCp (6.52 kJ.mol-1.K-1) for the unfolding of Ugi, is perhaps a reflection of a relatively small, buried hydrophobic core in the folded form of this small monomeric protein. Despite a relatively low value of DeltaG(H2O), 7.40 kJ.mol-1 at pH 8.3, Ugi displays considerable stability with the temperature of maximum stability being 301.6 K.     

A differential scanning calorimetric study of the influence of copper and dodecyl trimethyl ammonium bromide on the stability of bovine alpha-lactalbumin

Bovine alpha-lactalbumin (alpha-LA) has been studied by differential scanning calorimetry (DSC), fluorescence spectroscopy and viscometry with various concentrations of Cu2+ and DTAB to elucidate the effect of these ligands on its thermal properties. The DSC profile of dialyzed form of alpha-lactalbumin (m-alpha-LA) contrary to the undialyzed form (holo-form, h-alpha-LA) shows two temperature induced heat absorption peaks. The m-alpha-LA is not a new form of alpha-LA. It contains mixture of the apo (a-alpha-LA) and holo (h-alpha-LA) forms of alpha-LA at low and high temperatures, respectively. Therefore, these two states of alpha-LA (apo and holo) are equilibrating with together after dialyze experiment. The Cu2+ as a metal ion and DTAB as a non metal ion alter the two heat-absorption peaks, in such a manner that, the addition of Cu2+ to the m-alpha-LA increases partial molar heat capacity and enthalpy change values of the h-alpha-LA form at high temperature because the molecular population of the a-alpha-LA form changes into the h-like-alpha-LA. On the contrary, the interaction between the DTAB and the m-alpha-LA increases these thermodynamic values for the a-alpha-LA at low temperature. However, DTAB bound to m-alpha-LA prevents from Ca2+ binding to protein, because there are positive charges repulsion between them. The high temperature peak occurs at the same temperature as the unfolding of the h-alpha-LA, while the low temperature peak lies within the temperature range associated with the unfolding of the a-alpha-LA. The R(s) values of m-alpha-LA, h-alpha-LA and a-alpha-LA forms confirmed the folding and unfolding of the m-alpha-LA during the addition of Cu2+ and DTAB at different concentration, respectively.     

FTIR study on heat-induced and pressure-assisted cold-induced changes in structure of bovine alpha-lactalbumin: stabilizing role of calcium ion

The second derivative FTIR study of heat-induced and pressure-assisted cold-induced changes in the secondary structure of bovine alpha-lactalbumin was carried out for native holoprotein and calcium ion depleted apoprotein. The secondary structure and compactness of alpha-lactalbumin were examined in a temperature range from 20 to 80 degrees C during the heat treatment and 20 to -15 degrees C during the pressure-assisted cold treatment. This was the first FTIR study on the pressure-assisted cold denaturation of a protein. Because protein solutions had close to neutral pD and low ionic strength, the apoprotein remained in the molten globule state and the holoform maintained its native tertiary structure. In order to distinguish between unfolding-related and partially deuterated exchange-related spectral changes, we examined both the fully deuterated holoform and the partially deuterated holoform. The quantitative analysis of the spectral changes in the amide I/I' vibrational band revealed that the 3(10) helices were more prone to thermal unfolding than the alpha helices. We observed that the protein's compactness and secondary structure were both considerably stabilized against an increase and decrease in temperature by the presence of a calcium ion. Under the conditions of this study, only the apoprotein was susceptible to the cold denaturation. In contrast to this, an unexpected linear increase of the alpha-helical content was observed upon the cooling of the holoprotein under high pressure. The results were discussed in reference to the existing crystallographic data for crystals of human alpha-lactalbumin grown at two different temperatures.     

Stability of HAMLET--a kinetically trapped alpha-lactalbumin oleic acid complex

The stability toward thermal and urea denaturation was measured for HAMLET (human alpha-lactalbumin made lethal to tumor cells) and alpha-lactalbumin, using circular dichroism and fluorescence spectroscopy as well as differential scanning calorimetry. Under all conditions examined, HAMLET appears to have the same or lower stability than alpha-lactalbumin. The largest difference is seen for thermal denaturation of the calcium free (apo) forms, where the temperature at the transition midpoint is 15 degrees C lower for apo HAMLET than for apo alpha-lactalbumin. The difference becomes progressively smaller as the calcium concentration increases. Denaturation of HAMLET was found to be irreversible. Samples of HAMLET that have been renatured after denaturation have lost the specific biological activity toward tumor cells. Three lines of evidence indicate that HAMLET is a kinetic trap: (1) It has lower stability than alpha-lactalbumin, although it is a complex of alpha-lactalbumin and oleic acid; (2) its denaturation is irreversible and HAMLET is lost after denaturation; (3) formation of HAMLET requires a specific conversion protocol.     

Thermodynamics of alpha-lactalbumin-DL-alpha-dipalmitoylphosphatidylcholine interactions and effect of the antioxidant nicotinamide on these interactions

Differential scanning calorimetry has been used to understand the thermodynamics of the interactions of dl-alpha-dipalmitoylphosphatidylcholine (DPPC) with alpha-lactalbumin and the effect of the antioxidant nicotinamide on these interactions. Nicotinamide decreases the thermal transition temperature of both the lipid and the protein at high concentrations. The thermal unfolding transitions of the protein were two state and calorimetrically reversible. There was no significant change in the shape and thermodynamic parameters accompanying the lipid endotherms, suggesting that nicotinamide did not penetrate the lipid bilayer. The thermal unfoldings of alpha-lactalbumin in the presence of DPPC as cosolute also adhered to two-state reversible mechanism. The changes in the thermodynamic parameters accompanying the thermal transitions were small, indicating no significant interaction of alpha-lactalbumin with DPPC. The changes in the thermodynamic parameters indicate that the lipid bilayer organization, as well as the partitioning of the extrinsic protein alpha-lactalbumin into the bilayer, is not affected in the entire studied concentration range of the lipid. It is observed that the presence of increasing concentration of nicotinamide (as high as 1.0 mol dm(-3)) in the lipid-protein mixture does not affect its partitioning into the lipid bilayer, although nicotinamide preferentially interacts with alpha-lactalbumin. The change in the effect of nicotinamide on lipid transition temperature in the mixture and literature report suggests that nicotinamide may be forming a hydrogen-bonded complex with the protein through its amide functionality. The surface tension data of aqueous nicotinamide in combination with the thermal denaturation results of protein in presence of nicotinamide confirmed that surface tension effect does not have any significant contribution to the effect of nicotinamide on protein.     

Low-temperature unfolding of a mutant of phage T4 lysozyme. 2. Kinetic investigations

A disulfide-bridged variant of bacteriophage T4 lysozyme has been found to undergo a low- as well as high-temperature unfolding transition in guanidinium chloride [see Chen and Schellman (1989)]. The kinetics for this process have been followed for several temperatures, a range of guanidinium chloride concentrations, and a number of values of pH. Microscopic rate constants for protein unfolding and refolding were extracted from these data to explore the nature of the cold unfolding transition. The data were interpreted using transition-state theory. It was found that the Arrhenius energy is temperature dependent. The transition state is characterized by (1) a high energy and low entropy compared to the native state, (2) a heat capacity which is closer to the native state than to the unfolded state, and (3) a low exposure to solvent compared to the unfolded state, as judged by its interaction with guanidinium chloride. With increasing concentration of guanidinium chloride, the low-temperature unfolding rate increases strongly, and the refolding rate decreases very strongly.     

1,1,1,3,3,3-hexafluoroisopropanol induced thermal unfolding and molten globule state of bovine alpha-lactalbumin: calorimetric and spectroscopic studies

The thermal denaturation of alpha-lactalbumin was studied at pH 7.0 and 9.0 in aqueous 1,1,1,3,3,3-hexafluoroisopropanol (HFIP) by high-sensitivity differential scanning calorimetry. The conformation of the protein was analyzed by a combination of fluorescence and circular dichroism measurements. The most obvious effect of HFIP was lowering of the transition temperature with an increase in the concentration of the alcohol up to 0.30M, beyond which no calorimetric transition was observed. Up to 0.30M HFIP the calorimetric and van't Hoff enthalpy remained the same, indicating the validity of the two-state approximation for the thermal unfolding of alpha-lactalbumin. The quantitative thermodynamic parameters accompanying the thermal transitions have been evaluated. Spectroscopic observations confirm that alpha-lactalbumin is in the molten globule state in the presence of 0.50M HFIP at pH 7.0 and 0.75M HFIP at pH 9.0. The results also demonstrate that alpha-lactalbumin in the molten globule state undergoes a noncooperative thermal transition to the denatured state. It is observed that two of four tryptophans are exposed to the solvent in the HFIP induced molten globule state of alpha-lactalbumin compared to four in the 8.5M urea induced denatured state of the protein. It is also observed that the HFIP induced molten globule states at the two pH values are different from the acid induced molten globule state (A state) of alpha-lactalbumin.     

Temperature-induced phase transitions in proteins and lipids. Volume and heat capacity effects

The partial specific heat capacity and volume of globular proteins and dispersions of phosphatidylcholines in aqueous solutions have been determined over a broad temperature range using a precise scanning microcalorimeter and a vibrational densimeter. It is shown that the temperature-induced, gel-to-liquid crystalline phase transition in phosphatidylcholines proceeds without a noticeable change in heat capacity but with a significant increase in the specific volume, whereas heat denaturation in proteins takes place without a noticeable change in the volume but with a significant increase in heat capacity. This principal difference between temperature-induced conformational phase transitions in proteins and lipids demonstrates clearly that heat denaturation of proteins, in contrast to the gel-to-liquid crystalline phase transition in lipids, cannot be regarded as a process similar to melting. Consequently, the 'molten globule' does not appear to be a suitable model for a heat-denatured protein.     

Thermodynamics of the denaturation of lysozyme in alcohol--water mixtures.

The thermal denaturation of lysozyme was studied at pH 2 in aqueous mixtures of methanol, ethanol, and 1-propanol by high sensitivity differential scanning calorimetry (DSC). The most obvious effect of alcohols was the lowering of Td, the temperature of denaturation, increasingly with higher alcohol concentration and longer alkyl chain. Both the calorimetric and van't Hoff enthalpies of denaturation initially increased and then decreased with increasing alcohol concentration, the ratio of the two enthalpies being nearly unity, 1.007 +/- 0.011, indicating the validity of the two-state approximation for the unfolding of lysozyme in these solvent systems. The reversibility of the denaturation was demonstrated by the reversibility of the DSC curves and the complete recovery of enzymic activity on cooling. The changes in heat capacity on unfolding decreased with increasing alcohol concentration for each alcohol. Experimentally determined values of denaturation temperature and of entropy and heat capacity changes were used to derive the additional thermodynamic parameters delta G degrees and delta S degrees for denaturation as a function of temperature for each alcohol--water mixture. Comparison of the thermodynamic parameters with those reported [Pfeil, W., & Privalov, P.L. (1976) Biophys. Chem. 4, 23--50] in aqueous solution at various values of pH and guanidine hydrochloride concentration showed that these latter changes have no effect on the heat capacity changes, whereas the addition of alcohols causes a sharp decrease.     

Ligand-induced biphasic protein denaturation

The results of a thermodynamic calculation of the excess heat capacity that is based on experimental observations and that incorporates the effects of ligand binding on the two-state, thermal denaturation of a protein are presented. For a protein with a single-binding site on the native species and at subsaturating concentrations of ligand, bimodal or unimodal thermograms were computed merely by assuming a larger or smaller ligand association constant, respectively. The calculated thermograms for this simplified case show the salient features of those observed by differential scanning calorimetry for defatted human albumin monomer in the absence and presence of three ligands for which the protein has higher, intermediate, and lower affinity (Shrake, A., and Ross, P. D. (1988) J. Biol. Chem. 263, 15392-15399). The computation demonstrates that biphasic unfolding can result from a significant increase in the free energy of denaturation (and the transition temperature) during the course of unfolding due to a substantial increase in free ligand concentration caused by the release of bound ligand by denaturing protein. Such ligand-induced biphasic denaturation does not relate to macromolecular substructure but derives from a perturbation, during unfolding, of the ligand binding equilibrium, which is coupled to the equilibrium between the folded and unfolded protein species. Thus, this bimodality is not limited to thermally induced unfolding but is operative independent of the means used to effect denaturation and therefore must be considered when studying any macromolecular folding/unfolding reaction in the presence of ligand.     

Thermodynamic characterization of the human acidic fibroblast growth factor: evidence for cold denaturation.

The thermodynamic parameters characterizing the conformational stability of the human acidic fibroblast growth factor (hFGF-1) have been determined by isothermal urea denaturation and thermal denaturation at fixed concentrations of urea using fluorescence and far-UV CD circular dichroism (CD) spectroscopy. The equilibrium unfolding transitions at pH 7.0 are adequately described by a two-state (native <--> unfolded state) mechanism. The stability of the protein is pH-dependent, and the protein unfolds completely below pH 3.0 (at 25 degrees C). hFGF-1 is shown to undergo a two-state transition only in a narrow pH range (pH 7.0-8.0). Under acidic (pH <6.0) and basic (pH >8.0) conditions, hFGF-1 is found to unfold noncooperatively, involving the accumulation of intermediates. The average temperature of maximum stability is determined to be 295.2 K. The heat capacity change (DeltaC(p)()) for the unfolding of hFGF-1 is estimated to be 2.1 +/- 0.5 kcal.mol(-1).K(-1). Temperature denaturation experiments in the absence and presence of urea show that hFGF-1 has a tendency to undergo cold denaturation. Two-dimensional (1)H-(15)N HSQC spectra of hFGF-1 acquired at subzero temperatures clearly show that hFGF-1 unfolds under low-temperature conditions. The significance of the noncooperative unfolding under acidic conditions and the cold denaturation process observed in hFGF-1 are discussed in detail.     

Thermal unfolding pathway for the thermostable P22 tailspike endorhamnosidase

The conditions in which protein stability is biologically or industrially relevant frequently differ from those in which reversible denaturation is studied. The trimeric tailspike endorhamnosidase of phage P22 is a viral structural protein which exhibits high stability to heat, proteases, and detergents under a range of environmental conditions. Its intracellular folding pathway includes monomeric and trimeric folding intermediates and has been the subject of detailed genetic analysis. To understand the basis of tailspike thermostability, we have examined the kinetics of thermal and detergent unfolding. During thermal unfolding of the tailspike, a metastable unfolding intermediate accumulates which can be trapped in the cold or in the presence of SDS. This species is still trimeric, but has lost the ability to bind to virus capsids and, unlike the native trimer, is partially susceptible to protease digestion. Its N-terminal regions, containing about 110 residues, are unfolded whereas the central regions and the C-termini of the polypeptide chains are still in the folded state. Thus, the initiation step in thermal denaturation is the unfolding of the N-termini, but melting of the intermediate represents a second kinetic barrier in the denaturation process. This two-step unfolding is unusually slow at elevated temperature; for instance, in 2% SDS at 65 degrees C, the unfolding rate constant is 1.1 x 10(-3) s-1 for the transition from the native to the unfolding intermediate and 4.0 x 10(-5) s-1 for the transition from the intermediate to the unfolded chains. The sequential unfolding pathway explains the insensitivity of the apparent Tm to the presence of temperature-sensitive folding mutations [Sturtevant, J. M., Yu, M.-H., Haase-Pettingell, C., & King, J. (1989) J. Biol. Chem. 264, 10693-10698] which are located in the central region of the chain. The metastable unfolding intermediate has not been detected in the forward folding pathway occurring at lower temperatures. The early stage of the high-temperature thermal unfolding pathway is not the reverse of the late stage of the low-temperature folding pathway.     

Equilibrium and kinetics of the thermal unfolding of alpha-lactalbumin. The relation to its folding mechanism.

The thermal unfolding of alpha-lactalbumin has been studied by equilibrium measurements of aromatic difference spectra, and by kinetic measurements of the Joule heating temperature-jump. The unfolding at neutral pH is a reversible two-state transition. The equilibrium transition curves are analyzed by the nonlinear squares method, which gives correct values of thermodynamic parameters based on the data in a wide range of temperature. The results are discussed in relation to the previous studies on the unfolding by guanidine hydrochloride or by acid. The thermally unfolded state, a partially unfolded species, is shown to be thermodynamically similar to but not identical with the acid state. The folding pathway deduced from the kinetic results is essentially consistent with the folding model of alpha-lactalbumin proposed previously. Large decreases in entropy and in heat capacity during the reversed activation suggest the packing of the folded segments by hydrophobic interactions, while the forward activation shows a marked temperature dependence, probably caused by the disruption of specific long-range interactions.     

Calorimetric study of the heat and cold denaturation of beta-lactoglobulin.

Temperature-induced changes of the states of beta-lactoglobulin have been studied calorimetrically. In the presence of a high concentration of urea this protein shows not only heat but also cold denaturation. Its heat denaturation is approximated very closely by a two-state transition, while the cold denaturation deviates considerably from the two-state transition and this deviation increases as the temperature decreases. The heat effect of cold denaturation is opposite in sign to that of heat denaturation and is noticeably larger in magnitude. This difference in magnitude is caused by the temperature-dependent negative heat effect of additional binding of urea to the polypeptide chain of the protein upon its unfolding, which decreases the positive enthalpy of heat denaturation and increases the negative enthalpy of cold denaturation. The binding of urea considerably increases the partial heat capacity of the protein, especially in the denatured state. However, when corrected for the heat capacity effect of urea binding, the partial heat capacity of the denatured protein is close in magnitude to that expected for the unfolded polypeptide chain in aqueous solution without urea but only for temperatures below 10 degrees C. At higher temperatures, the heat capacity of the denatured protein is lower than that expected for the unfolded polypeptide chain. It appears that at temperatures above 10 degrees C not all the surface of the beta-lactoglobulin polypeptide chain is exposed to the solvent, even in the presence of 6 M urea; i.e., the denatured protein is not completely unfolded and unfolds only at temperatures lower than 10 degrees C.(ABSTRACT TRUNCATED AT 250 WORDS)     

Thermodynamics of unfolding for turkey ovomucoid third domain: thermal and chemical denaturation.

We have used thermal and chemical denaturation to characterize the thermodynamics of unfolding for turkey ovomucoid third domain (OMTKY3). Thermal denaturation was monitored spectroscopically at a number of wave-lengths and data were subjected to van't Hoff analysis; at pH 2.0, the midpoint of denaturation (Tm) occurs at 58.6 +/- 0.4 degrees C and the enthalpy of unfolding at this temperature (delta Hm) is 40.8 +/- 0.3 kcal/mol. When Tm was perturbed by varying pH and denaturant concentration, the resulting plots of delta Hm versus Tm yield a mean value of 590 +/- 120 cal/(mol.K) for the change in heat capacity upon unfolding (delta Cp). A global fit of the same data to an equation that includes the temperature dependence for the enthalpy of unfolding yielded a value of 640 +/- 110 cal/(mol.K). We also performed a variation of the linear extrapolation method described by Pace and Laurents, which is an independent method for determining delta Cp (Pace, C.N. & Laurents, D., 1989, Biochemistry 28, 2520-2525). First, OMTKY3 was thermally denatured in the presence of a variety of denaturant concentrations. Linear extrapolations were then made from isothermal slices through the transition region of the denaturation curves. When extrapolated free energies of unfolding (delta Gu) were plotted versus temperature, the resulting curve appeared linear; therefore, delta Cp could not be determined. However, the data for delta Gu versus denaturant concentration are linear over an extraordinarily wide range of concentrations. Moreover, extrapolated values of delta Gu in urea are identical to values measured directly.     

High concentrations of D-glyceraldehyde-3-phosphate dehydrogenase stabilize the enzyme against denaturation by low concentrations of GuHCl

It is known that denaturation of D-glyceraldehyde-3-phosphate dehydrogenase (GAPDH, EC 1.2.1.12) in low concentrations of GuHCl, around 0.5 M, at 25 degrees C, leads first to a burst phase drop of activity, followed by slow unfolding with further loss of enzyme activity and aggregation. However, GAPDH at higher concentrations does not increase the aggregation in the slow phase as would be expected but decreases both the inactivation and aggregation of the enzyme instead. It seems that GAPDH at high concentrations protects the enzyme against GuHCl-denaturation. This protection is not a general effect of GuHCl binding by increased protein concentration but specific for GAPDH, as either bovine serum albumin or alpha-lactalbumin does not show any protection at similar concentrations. It is proposed that dissociation of tetrameric GAPDH into dimers in the early phase of denaturation in dilute GuHCl is reversible and further unfolding of the dimer to an aggregation prone species is irreversible and rate-limiting for the unfolding process. High concentrations of the enzyme shift the equilibrium towards the tetramer thus decrease the aggregation of GAPDH in dilute GuHCl.