The heat-unfolded state of ribonuclease A is an equilibrium mixture of fast and slow refolding species.

A pH-dependent equilibrium between different species of heat-unfolded ribonuclease A has been studied by measuring the dependence on initial pH of the ratio of fast to slow refolding material; refolding is induced by stopped-flow pH jumps in which the final pH is held constant. These different unfolded forms are shown to be responsible for the fast- and slow-refolding reactions of ribonuclease A studied previously. Their interconversion is slow compared with the stopped-flow mixing time (3 ms). The results fit a simple kinetic mechanism for refolding $\text{U}{}_1\text{slow}\text{U}{}_2\text{fast}$, in which U₁ and U₂ are slow- and fast-refolding species. The fast-refolding form is not “melted out” by raising the temperature above the transition zone for thermal unfolding.     

Nuclear magnetic resonance evidence for a structural intermediate at an early stage in the refolding of ribonuclease A

The kinetics of refolding of heat-unfolded ribonuclease A have been studied by Fourier transform proton nuclear magnetic resonance at 10 °C, pH 2. A single refolding reaction is observed: it corresponds to the slow-refolding reaction seen in stopped-flow studies of refolding at higher temperatures. There are two results of interest for the mechanism of protein folding. (1) A new resonance (X) is observed that shows the presence of a structural intermediate in refolding. (2) The α-helix close to the N-terminal end of ribonuclease A apparently forms rapidly when the unfolded protein is brought to refolding conditions.The folding intermediate has been studied by monitoring the C-2 protons of the four histidine residues. The intermediate contains one residue (X) in a partly folded environment and the other three residues in unfolded environments. The composite resonance (U) of these three protons at 10 °C agrees with the average chemical shift of the histidine residues in heat-unfolded ribonuclease A at high temperatures. During refolding at 10 °C, the resonance intensities of U and X disappear at the same rate that the spectrum of native ribonuclease A is regained.Partial deuteration experiments show that X is either histidine 12 or 119. Comparative studies of the amino-terminal fragment 1–20 of ribonuclease A indicate that X is histidine 12. The appearance of structure in this peptide can be followed by temperature-dependent changes in the chemical shift of histidine 12. At 10 °C the chemical shifts of histidine 12 and X agree closely. These results are consistent with the circular dichroism study of peptide 1–13 by Brown &; Klec (1971), who concluded that helix formation occurs at low temperatures.     

Interaction of carboxypeptidases A and B with nitrotyrosyl and aminotyrosyl derivatives of the carboxypeptidase inhibitor from potatoes

The single tyrosine residue of the carboxypeptidase inhibitor from potatoes, which is in contact with carboxypeptidase A in the enzyme-inhibitor complex as determined by X-ray diffraction. was converted to 3-nitrotyrosine by treatment with tetranitromethane in buffers containing 75% ethanol. The nitroinhibitor bound both bovine carboxypeptidase A and porcine carboxypeptidase B with apparent K_i values indistinguishable from those of the unmodified inhibitor. Spectral titration indicated that the nitrotyrosyl residue of the inhibitor ionized with pK_a of 7.25 either in the presence or absence of carboxypeptidase A; however, this pK_a was shifted to (ca 7.7 in the presence of carboxypeptidase B. Reduction of the 3-nitrotyrosine residue to 3-aminotyrosine slightly increased the strength of binding to both carboxypeptidases. These data suggest that the tyrosine residue of the inhibitor, is in a polar environment in the enzyme-inhibitor complex and that it is not involved in hydrogen bonding.     

Proline isomerism in the protein folding of ribonuclease A

The guanidinium chloride-unfolded state of ribonuclease A was found to be an equilibrium mixture of slow- and fast-refolding forms of the protein chain, as has been suggested. Both forms appear to have the same spectroscopic observables as judged by the relative changes in fluorescence emission and polarization. The equilibrium between them is thermally dependent, with deltaHapp equal to -1.4 kcal/mol. The activation energy Ea is equal to 18 kcal/mol. These findings are consistent with the proposal that cis-trans isomerism of peptide bonds that are NH2-terminal to proline residues is responsible for the slow phase of RNase A refolding. However, the actual dependence of the magnitude of the slow reaction on initial, prefolding temperature cannot be explained by a model in which the proline configurations of the fast refolding form must be identical to those of the native protein, as has been suggested. Instead, the data reveal that, although the native structure of RNase A contains two cis prolines, cis isomers need not be present in the fast-refolding form in order for folding to occur.     

Kinetics of reaction of (nitrotyrosyl)cytochrome c with ligands.

The reaction of [nitrotyrosyl]cytochrome c with ligands was studied by stopped-flow techniques. At pH 7.0 the reaction with imidazole shows two distinct phases, one fast phase being concentration-dependent and a slow phase being concentration-independent. The results are consistent with the existence of two forms of [nitrotyrosyl]cytochrome c in solutions [Schejter et al. (1970) Biochemistry 9, 5118-5122]; form I, the smaller fraction, seems to be responsible for the slow first-order process.     

Intermediates in the refolding of ribonuclease at subzero temperatures. 2. Monitoring by inhibitor binding and catalytic activity

The kinetics of refolding of ribonuclease A were monitored by the return of catalytic activity and inhibitor binding at -15 degrees C in 35% methanol cryosolvent at pH* 3.0 and 6.0. Catalytic activity was measured with cytidine 2',3'-cyclic monophosphate as substrate; inhibitor binding was determined with the competitive inhibitor cytidine 2'-monophosphate. Biphasic kinetics were observed at pH* 3.0 for both return of catalytic activity and inhibitor binding. At pH* 6.0 the rate of return of catalytic activity was monophasic, whereas that of inhibitor binding was biphasic. For both inhibitor binding and catalytic activity one of the observed rates was pH-dependent. Full return of catalytic activity was obtained at the completion of the refolding process. The observations are interpreted in terms of two parallel pathways of refolding for slow-refolding ribonuclease, with several native-like, partially folded intermediate states on the minor slow-refolding pathway. Of particular note is the presence of at least one such species that has inhibitor-binding capacity but not catalytic activity. This may be rationalized in terms of the known native structure. In addition, an intermediate is postulated which has the incorrect Pro-93 conformation and only partial catalytic activity (42% of the native). The slowest observed transient is attributed to the isomerization of this proline residue and return of full catalytic activity.     

Kinetics and mechanism of the refolding of denatured ribonuclease A

On the basis of two experimental observations, it is established that the refolding mechanism of ribonuclease A (RNase A) is independent of the nature of the denaturant used [urea or guanidine hydrochloride (Gdn.HCl)]. First, by use of a double-jump technique, it is demonstrated that a similar nativelike intermediate exists on the major slow-folding pathway of both urea- and Gdn.HCl-denatured RNase A. Second, from the temperature dependence of the slow-refolding kinetics, it is shown that the activation parameters (both enthalpy and entropy) of the rate-limiting steps, as monitored by tyrosine absorbance and fluorescence, are identical for the refolding of urea- and Gdn.HCl- denatured RNase A. A refolding scheme involving one intermediate on each of the two slow-folding pathways is proposed by adopting the notion that RNase A refolds through a sequential mechanism. However, these two intermediates are formed from their respective unfolded forms (USII and USI) through two different processes of distinct physical origin. The intermediate IN, which is formed from the major slow-folding species USII through a conformational folding step, already possesses many properties of the native protein. In contrast, the intermediate (designated as I') on the minor slow-folding pathway is formed from USI by the isomerization of a proline residue (possibly Pro93) and is still conformationally unfolded. It is shown that such a refolding scheme can account for the known kinetic features of both major and minor slow-refolding pathways of RNase A.(ABSTRACT TRUNCATED AT 250 WORDS)     

Early steps in the refolding reaction of reduced ribonuclease A.

The early part of the reaction of refolding of reduced ribonuclease A has been studied using the reappearance of enzymatic activity as an index of refolding. It is found that a low level of activity, about 0.04% of that of native enzyme, can be measured early after refolding has been initiated. This low level of activity is apparently not due to a contaminant or to incompletely reduced RNAase A molecules, but rather seems to be a property of the bulk of the reduced protein. Furthermore, this early activity is sensitive to the reaction with N-ethyl-maleimide, showing that it is due to completely or partially reduced molecules. The amount of protein responsible for this early activity represents a small fraction of the total reduced RNAase A, and possesses binding properties similar to those of the native enzyme towards a substrate, 2′, 3′ CMP and an inhibitor, 2′ CMP. These results are interpreted as evidence for the existence of an equilibrium between native and unfolded conformations in reduced RNAase A, and are discussed with respect to the protein folding mechanism.     

Reactions of the amino groups of RNAse A: III. The existence of pH-dependent values of pK

The rates of the trinitrophenylation of the amino groups of ribonuclease A (RNAse) with the specific reagent trinitrobenzene sulfonic acid have been studied at 27°C, between pH 7.0 and 9.9. From the variation of the velocity constants with pH it has been shown that the reaction is biphasic in the sense that for each amino group two pKs have been found: one (pK = 7.3–7.52) in the range of pH between 7.0 and 8.3 and the other (pK = 9.28–9.69) in the pH range 8.5–9.9. It is pointed out that when the experimental conditions approached one another, there was agreement between the pK values obtained from titrimetric and kinetic studies. Evidence is presented from the literature concerning the validity of the pK value near 7.5 for the ε-amino groups in RNAse. The studies were repeated with performic acid oxidized RNAse and the 10 ε-amino groups were found to be monophasic with pK values between 8.01 and 8.10. The α-amino group of the N-terminal lysine was biphasic with a pK of 7.26 (pH range 7–8) and 8.13 (pH range 8.2–9.5).     

Folding mechanism of porcine ribonuclease

The kinetics of unfolding and refolding of porcine ribonuclease were investigated. The unfolded state of this protein was found to consist of a fast-refolding species (UF) and two slow-refolding species (UIS and UIIS). After the rapid collapse of the structure during the N (native)----UF unfolding reaction, UIS and UIIS are produced from UF by two independent slow isomerizations of the unfolded polypeptide chain, leading ultimately to a mixture of about 10% UF, 20% UIIS and 70% UIS molecules at equilibrium. This is at variance with all other ribonucleases investigated to date, which show a distribution of 20% UF, 60 to 70% UIIS and only 10 to 20% UIS. The two isomerizations of the unfolded porcine protein differ strongly in rate. The first process with tau = 250 seconds (10 degrees C) leads to an increase in the fluorescence of Tyr92 and was identified as cis in equilibrium trans isomerization of Pro93. At equilibrium, most unfolded molecules contain an incorrect trans Pro93. The second isomerization is much slower (tau = 1300 s at 10 degrees C) and leads to a predominance of the incorrect isomer as well. Like isomerization of Pro93, it is governed by an activation enthalpy of 22 kcal/mol (92 kJ/mol) and it was tentatively assigned to the Pro114-Pro115 sequence of porcine ribonuclease. Because of the wide separation in rate between the two reactions, molecules with an incorrect isomer only at Pro93 accumulate transiently after unfolding. These are the UIIS molecules. Most of them are finally converted to UIS by the 1300 second process. All molecules that have undergone this isomerization refold very slowly, i.e. the UIS molecules. The major fraction contains two incorrect isomers. A 1300 second isomerization after unfolding and a predominant very slow refolding reaction were observed only for the porcine protein. We suggest that these changes in the folding mechanism may be correlated with the presence of the Pro114-Pro115 sequence, which occurs only in porcine ribonuclease. The refolding pathway of porcine UIIS involves the rapid formation of a native-like intermediate with an incorrect trans Pro93 as was found previously for the bovine ribonuclease, where the UIIS species predominates in the unfolded state.     

Intermediates in the refolding of ribonuclease at subzero temperatures. 3. Multiple folding pathways

The kinetics of refolding of ribonuclease A have been measured at -15 degrees C by monitoring the intrinsic fluorescence and absorbance signals from the six tyrosine residues. For each probe multiphasic kinetics were observed. The burial of tyrosine residues, as determined by the change in absorbance at 286 nm, revealed four phases, whereas the kinetics of refolding monitored by fluorescence revealed only two phases. The rates of the transients detected by fluorescence were independent of pH. One of the faster transients detected by delta A286 involved a decrease in absorbance, which is consistent with solvent exposure, rather than burial, and suggests the possibility of an abortive partially folded intermediate in the earlier stages of folding. Double-jump unfolding assays were used to follow the buildup and decay of an intermediate in the refolding reaction at -15 degrees C. At both pH* 3.0 and pH* 6.0 the maximum concentration of the intermediate was 25-30% of the total protein. The existence of a second pathway of slow folding was inferred from the difference in rate of formation of native enzyme and breakdown of the observed intermediate, and by computer simulations. In addition, the unfolding assay demonstrated that 20% of the unfolded protein was converted to native at a much faster rate, consistent with observations in aqueous solution that 80% of unfolded ribonuclease A consists of slow-folding species. Kinetics and amplitude data from these and other refolding experiments with different probes were used to develop possible models for the pathway of refolding. The simplest system consistent with the results for the slow-refolding species involves two parallel pathways with multiple intermediates on each of them. Several independent lines of evidence indicate that about 30% of the unfolded state refolds by the minor pathway, in which the slowest observed phase is attributed to the isomerization of Pro-93. The major pathway involves 50% of the unfolded state; the reason why it refolds slowly is not apparent. A native-like intermediate is formed considerably more rapidly in the major slow-refolding pathway, compared to the minor pathway.     

Proton nuclear magnetic resonance studies of histidine residues in rat and other rodent pancreatic ribonucleases. Effects of pH and inhibitors

Proton nuclear magnetic resonance spectra of the histidine residues in bovine and rat ribonuclease have been compared. The changes in chemical shift on titration and on binding of cytidine-3′-monophosphate and cytidine-2′-monophosphate have been followed. In the presence of the cytidine derivatives the spectra of both enzymes resemble each other more than those of the free enzymes. With these inhibitors, two histidines in rat ribonuclease exhibit the same pK values and shifts as the active site residues histidine 12 and 119 in the bovine enzyme. Their pK values in the inhibitor-free rat enzyme are about 0.4 higher than in the beef enzyme, which can be explained by the substitution at the entrance of the active site cleft of arginine 39 in the beef enzyme by serine in the rat enzyme. Rat ribonuclease contains one histidine with a rather high pK value of 7.6. The cytidine derivatives affect its chemical shift in exactly the same way as the shift of histidine 48 in bovine ribonuclease. The high pK value of this residue in rat ribonuclease can be explained by assuming a strong hydrogen bridge with glutamic acid 16. The other two histidines in rat ribonuclease have rather low pK values of 6.1 and 6.3. The histidine with a pK value of 6.3 has been assigned to position 105 and that with a pK value of 6.1 to position 73.The closer resemblance of the active sites of bovine and rat ribonuclease in the presence of inhibitors than in the inhibitor-free enzymes makes the concept of induced fit interesting from an evolutionary point of view.The characteristic downfield shift of the protonated form of histidine 119 in the complexes of bovine and rat ribonuclease with cytidine-3′-monophosphate is not observed with uridine-3′-monophosphate, suggesting non-identical binding of these pyrimidine nucleotides.Some preliminary results on the nuclear magnetic resonance properties of the histidine residues in coypu and chinchilla pancreatic ribonuclease have been obtained.     

Mechanism of action of α-galactosidase

The effect ofpH on K_m and V_max values of coconut α-galactosidase indicates the involvement of two ionizing groups with pK_a values of 3.5 and 6.5 in catalysis. Chemical modification has indicated the presence of two carboxyl groups, a tryptophan and a tyrosine, at or near the active site of α-galactosidase. Based on these facts a new mechanism of action for α-galactosidase is proposed in which the ionizing group with a pK_a of 3.5 is a carboxyl group involved in stabilizing a carbonium ion intermediate and the ionizing group with a pK_a of 6.5 is a carboxyl group perturbed due to the presence of a hydrophobic residues in its vicinity which donates a H⁺ ion in catalysis.     

Separation of the nativelike intermediate from unfolded forms during refolding of ribonuclease A

In an effort to determine structural properties of the nativelike intermediate (i.e., IN) which forms during the refolding of RNase A, refolding samples were subjected to rapid HPLC gel filtration which allowed us to separate IN from unfolded forms of RNase. The comparison of these samples, enriched in IN and depleted of unfolded forms, with unseparated control samples at the same stage of refolding allowed certain conclusions to be drawn concerning the properties of IN. First, the results show that the transition from IN to native RNase occurs with only small changes in fluorescence. This means that the major fluorescence changes seen during normal refolding experiments must be associated with changes in proline isomerization of unfolded species and/or with the refolding step itself but not with the IN----N step. Second, the fluorescence assay for isomerization of proline-93 shows that IN exists with proline-93 in a state of isomerization identical with or very similar to native RNase; i.e., proline-93 is cis in IN and not trans as suggested by others. All results are semiquantitatively consistent with our earlier refolding model and not nearly so consistent with alternative models which assume that most or all of the slow-refolding forms of RNase have proline-93 in the incorrect trans state.     

Reactions of the amino groups of RNAse A: IV. The effects of protein concentration

A study has been made of the effect of ribonuclease (RNAse) concentration on the properties of the amino groups. The biphasic dependence of pK on pH which has been established (Goldfarb and Martin, Bioorg. Chem.5, 137 (1976)). for 5 μM solution of RNAse also have been shown to occur for 50 μM solutions. In the lower pH range (7.5–8.5) the values of pK obtained with 50 μM solutions were similar to those obtained with 5 μM solutions (pK = 7.5) but the intrinsic constants were smaller. In the higher pH range (8.5–10) the pKs in the more concentrated solutions were larger than those found at the smaller concentration and the intrinsic constants were generally smaller. A quantitative study of the concentration vs k_i relation at pH 7.5 indicated a sigmoid relationship for all of the subsets with a constant maximum value equal to, and less than that at 5 μM RNAse and a constant minimum value above that at 20 μM. Parallel studies with oxidized RNAse gave parallel, although not identical, results from which it is proposed that the concentration effect does not arise totally from the three-dimensional structure of native RNAse.     

Recombination of S-peptide with S-protein during folding of ribonuclease S. I. Folding pathways of the slow-folding and fast-folding classes of unfolded S-protein.

The refolding kinetics of ribonuclease S have been measured by tyrosine absorbance, by tyrosine fluorescence emission, and by rapid binding of the specific inhibitor 2′CMP ² to folded RNAase S. The S-protein is first unfolded at pH 1.7 and then either mixed with S-peptide as refolding is initiated by a stopped-flow pH jump to pH 6.8, or the same results are obtained if S-protein and S-peptide are present together before refolding is initiated. The refolding kinetics of RNAase S have been measured as a function of temperature (10 to 40 °C) and of protein concentration (10 to 120 μm). The results are compared to the folding kinetics of S-protein alone and to earlier studies of RNAase A. A thermal folding transition of S-protein has been found below 30 °C at pH 1.7; its effects on the refolding kinetics are described in the following paper (Labhardt &; Baldwin, 1979).In this paper we characterize the refolding kinetics of unfolded S-protein, as it is found above 30 °C at pH 1.7, together with the kinetics of combination between S-peptide and S-protein during folding at pH 6.8. Two classes of unfolded S-protein molecules are found, fast-folding and slow-folding molecules, in a 20: 80 ratio. This is the same result as that found earlier for RNAase A; it is expected if the slow-folding molecules are produced by the slow cis-trans isomerization of proline residues after unfolding, since S-protein contains all four proline residues of RNAase A.The refolding kinetics of the fast-folding molecules show clearly that combination between S-peptide and S-protein occurs before folding of S-protein is complete. If combination occurred only after complete folding, then the kinetics of formation of RNAase S should be rather slow (5 s and 100 s at 30 °C) and nearly independent of protein concentration, as shown by separate measurements of the folding kinetics of S-protein, and of the combination between S-peptide and folded S-protein. The observed folding kinetics are faster than predicted by this model and also the folding rate increases strongly with protein concentration (apparent 1.6 order kinetics). The fact that RNAase S is formed more rapidly than S-protein alone is sufficient by itself to show that combination with S-peptide precedes complete folding of S-protein. Computer simulation of a simple, parallel-pathway scheme is able to reproduce the folding kinetics of the fast-folding molecules. All three probes give the same folding kinetics.These results exclude the model for protein folding in which the rate-limiting step is an initial diffusion of the polypeptide chain into a restricted range of three-dimensional configurations (“nueleation”) followed by rapid folding (“propagation”). If this model were valid, one would expect comparable rates of folding for RNAase A and for S-protein and one would also expect to find no populated folding intermediates, so that combination between S-peptide and S-protein should occur after folding is complete. Instead, RNAase A folds 60 times more rapidly than S-protein and also combination with S-peptide occurs before folding of S-protein is complete. The results demonstrate that the folding rate of S-protein increases after the formation, or stabilization, of an intermediate which results from combination with S-peptide. They support a sequential model for protein folding in which the rates of successive steps in folding depend on the stabilities of preceding intermediates.The refolding kinetics of the slow-folding molecules are complex. Two results demonstrate the presence of folding intermediates: (1) the three probes show different kinetic progress curves, and (2) the folding kinetics are concentration-dependent, in contrast to the results expected if complete folding of S-protein precedes combination with S-peptide. A faster phase of the slow-refolding reaction is detected both by tyrosine absorbance and fluorescence emission but not by 2′CMP binding, indicating that native RNAase S is not formed in this phase. Comparison of the kinetic progress curves measured by different probes is made with the use of the kinetic ratio test, which is defined here.     

Test of the extended two-state model for the kinetic intermediates observed in the folding transition of ribonuclease A

A test has been made of the proposal that: (a) the extended two-state model describes the kinetic intermediates seen in the folding transition of RNAase A, i.e. that the only species present in folding experiments are the native protein and multiple forms of the completely unfolded protein; and (b) that the interconversion between the two known unfolded forms of RNAase A (the U₁

U₂ reaction) is described solely by the cis-trans isomerization of the proline residues. The test is to measure the rate of the U₁

U₂ reaction in a wide range of refolding conditions and to compare these data with the kinetic properties of proline isomerization.The main results are as follows. (1) The activation enthalpy of the U₁

U₂ reaction in refolding conditions (pH 6, 20 ° to 40 °C) is less than 5 kcal/mol. This is much too small to be explained as proline isomerization. (2) Both the rate and the activation enthalpy change sharply at guanidine hydrochloride concentrations below 2 m. There appear to be two pathways for the U₁

U₂ reaction in refolding conditions, and the slower pathway is favored by adding guanidine hydrochloride. (3) The rate and activation enthalpy for proline isomerization in l-alanyl-l-proline are unaffected by 2 m-guanidine hydrochloride.The results show that the proline isomerization hypothesis and the extended two-state model cannot both be correct for RNAase A. They suggest that partial folding occurs rapidly in refolding conditions and that the extended two-state model is invalid. They leave open the question of whether or not proline isomerization is the rate-limiting step in the U₁

U₂ reaction.Another possible source of slow configurational reactions in the unfolded state is mentioned. The three major, overlapping, disulfide-bonded loops of RNAase A can exist in two isomeric configurations. Interconversion of these isomers requires pulling one loop, or one end of the polypeptide chain, through a second loop and this is likely to be a slow process.In some conditions, heat-unfolded but not guanidine-unfolded RNAase A shows a second slow-refolding process. It may result from aggregates of the heatunfolded protein which are formed and broken up slowly. Conditions are given for eliminating this reaction.     

An early intermediate in the folding of ribonuclease A is protected against cleavage by pepsin

Folding of bovine pancreatic ribonuclease A (RNase A) is a sequential process which involves the formation of well-populated structural intermediates under suitable conditions. Two intermediates have been detected on the major slow-refolding pathway of RNase A: a late intermediate (IN) which already resembles the native protein in a number of properties and a rapidly formed early intermediate (I1) which shows extensive hydrogen-bonded secondary structure. Here competition experiments between refolding and proteolytic cleavage of the peptide chain are described which yield information about the decrease in accessibility of particular proteolytic cleavage sites during the folding process. Results obtained with pepsin as a proteolytic probe of folding indicate that the primary cleavage site for pepsin, Phe-120-Asp-121, becomes inaccessible early in the course of refolding, if folding is carried out under conditions which effectively stabilize the native state. Under marginally stable conditions, folding is very slow, and protection against peptic cleavage is not detectable prior to the final formation of native protein. The comparison with amide proton exchange experiments suggests that the protection against peptic cleavage occurs during the formation and/or stabilization of hydrogen-bonded secondary structure in the early intermediate (I1). We conclude that the carboxy-terminal region of the RNase peptide chain, which is known to be important for the stability of the folded protein, may also be relevant for early steps of refolding.     

Kinetics of reactivation during refolding of guanidine-denatured pancreatic ribonuclease A

The method aforementioned (Liu, W. and Tsou, C.L. (1987) Biochim. Biophys. Acta 916, 455-464) for the study of the kinetics of irreversible modification of enzyme activity has been applied to the reactivation of guanidine-denatured ribonuclease A, by following the hydrolysis of cyclic CMP during refolding upon diluting a guanidine-denatured enzyme with a substrate-containing buffer. Appropriate equations have been derived to deal with the kinetics of the substrate reaction during the course of activation, while the product formed, 3'CMP, is a competitive inhibitor. When the overall process consists of multiple first-order reactions, the individual rate constants could be obtained by suitable semilogarithmic plots. Moreover, in certain cases, it can be distinguished from the shapes of the plots, whether the overall process consists of parallel or consecutive first-order reactions. The kinetics for the reactivation reaction has been compared to that for the refolding of the substrate binding site, as indicated by complex formation with the competitive inhibitor, 2'CMP, and for the refolding of the molecule as a whole. At pH 6.0 and 25 degrees C, only monophasic first-order reactions could be detected by manual mixing for both the reactivation and the refolding processes. At lower temperatures (0-10 degrees C), both processes consist of two first-order reactions. In all cases, the same rate constants have been obtained for the refolding and reactivation reactions.     

Reactions of the amino groups in ribonuclease A: I. Kinetic studies

A kinetic analysis has been made of the reaction of the amino groups of ribonuclease A with trinitrobenzene-sulfonic acid. The number of reactive groups and the number of subsets were markedly dependent on the nature and concentrations of the buffer and the pH. Apparent values of pK_a, calculated from the variation of the velocity constants with pH, could, in general, be obtained only for pH values above 7.4. Below this pH the velocity constants were greater than the values calculated from the intrinsic constants. The values of pK_a were in the range of 7.9 – 9.0, which are somewhat smaller than those derived from titration data.The change of behavior of the amino groups with pH is confirmed by a study of the effects of ionic strength on the reactions.The velocity constants generally appear to decrease with increasing concentration of protein.It is shown that there is a close correlation between the pH region in which large changes occur of the reactivities of the amino groups of RNase and the kinetics of the enzyme reaction.