The pH-dependence of second-order rate constants of enzyme modification may provide free-reactant pKa values.

1. Reactions of enzymes with site-specific reagents may involve intermediate adsorptive complexes formed by parallel reactions in several protonic states. Accordingly, a profile of the apparent second-order rate constant for the modification reaction (Kobs., the observed rate constant under conditions where the reagent concentration is low enough for the reaction to be first-order in reagent) against pH can, in general, reflect free-reactant-state molecular pKa values only if a quasi-equilibrium condition exists around the reactive protonic state (EHR) of the adsorptive complex. 2. Usually the condition for quasi-equilibrium is expressed in terms of the rate constants around EHR: (formula: see text) i.e. k mod. less than k-2. This often cannot be assessed directly, particularly if it is not possible to determine kmod. 3. It is shown that kmod. must be much less than k-2, however, if kobs. (the pH-independent value of kobs.) less than k+2. 4. Since probable values of k+2 greater than 10(6)M-1.S-1 and since values of kobs. for many modification reactions less than 10(6)M-1.S-1, the equilibrium assumption should be valid, and kinetic study of such reactions should provide reactant-state pKa values. 5. This may not apply to catalyses, because for them the value of kcat./Km may exceed 5 X 10(5)M-1.S-1. 6. The conditions under which the formation of an intermediate complex by parallel pathways may come to quasi-equilibrium are discussed in the Appendix.     

Effects of conformational selectivity and of overlapping kinetically influential ionizations on the characteristics of pH-dependent enzyme kinetics. Implications of free-enzyme pKa variability in reactions of papain for its catalytic mechanism.

The effects of selection by a small molecule, when binding to a protein, of a particular conformation from an equilibrium stereopopulation on the characteristics of the pH-dependence of reaction with a reactivity probe or substrate were determined by analysis of an appropriate kinetic model. For reaction in one protonic state containing an equilibrium mixture of two conformational isomers, the pH-second-order rate constant (k) profile is of conventional sigmoidal form. The apparent pKa value is a composite of the pKa values of the two conformational states. The value of pKapp. for a given enzyme under given experimental conditions will always be the same (provided that the site-specificity assumed in the model is maintained) irrespective of whether only one conformation reacts or both react, with the same or with different rate constants. The experimentally determined pH-independent rate constant (kapp.) is an average of the reactivities of the two conformational states weighted in favour of the predominant form. The presence of an additional but unreactive conformational state also affects the value of kapp. The possibility that overlapping acid dissociations that affect the reactivity of the enzyme might provide pH-k profiles often indistinguishable in practice from simple sigmoidal dissociation curves and subject to variability in apparent pKa values was evaluated by a simulation study. If two reactive protonic states of the enzyme respond differently to changes in the structure of the substrate or site-specific reactivity probe, differences in apparent pKa values of up to approx. 1 unit can be exhibited without deviation from sigmoidal behaviour being reliably observed. Differences in apparent pKa values observed in some site-specific reactions of papain and their possible consequences for its catalytic mechanism are discussed.     

The pH dependence of the reductive carboxylation of pyruvate by malic enzyme

The maximum velocity of the malic enzyme (L-malate: NADP+ oxidoreductase (oxaloacetate-decarboxylating), EC 1.1.1.40) reductive carboxylation of pyruvate and V/KCO2 are pH-independent from pH 5.5 to pH 8.5. V/K for pyruvate exhibits pK values values of 6.50 +/- 0.25 and 7.25 +/- 0.25. These data suggest that the binding of pyruvate locks the protonation state of enzyme. In addition, the pK values are within experimental error identical for the pH dependence of V/Kmalate and V/Kpyruvate. Thus, the catalytic groups appear to have reverse protonation states in the two reaction directions. The ratio of (V/Kmalate)/(V/Kpyruvate) is 100, suggesting that the protonation state of enzyme is optimum in the malate oxidative decarboxylation direction. Thus, the group with a pK of about 6 is unprotonated and the group with a pK of 7.5 is protonated for malate decarboxylation, and the opposite is true for pyruvate reductive carboxylation.     

Studies on the aminopeptidase activity of rat cathepsin H.

Three synthetic substrates H-Arg-NH-Mec, Bz-Arg-NH-Mec and H-Cit-NH-Mec (Bz, Benzoyl; NH-Mec, 4-methylcoumaryl-7-amide; Cit, citrulline) were used to characterize specificity requirements for the P1-S1 interaction of cathepsin H from rat liver. From rapid equilibrium kinetic studies it was shown that Km, kcat and the specificity constants kcat/Km are quite similar for substrates with a free alpha-amino group. In contrast, a 25-fold decrease of kcat/Km was observed for the N-terminal-blocked substrate Bz-Arg-NH-Mec. The activation energies for H-Arg-NH-Mec and Bz-Arg-NH-Mec were determined to be 37 kJ/mol and 55 kJ/mol, respectively, and the incremental binding energy delta delta Gb of the charged alpha-amino group was estimated to -8.1 kJ/mol at pH 6.8. The shown preference of cathepsin H for the unblocked substrates H-Arg-NH-Mec and H-Cit-NH-Mec was further investigated by inspection of the pH dependence of kcat/Km. The curves of the two substrates with a charged alpha-amino group showed identical bell-shaped profiles which both exhibit pKa1 and pKa2 values of 5.5 and 7.4, respectively, at 30 degrees C. The residue with a pKa1 of 5.5 in the acid limb of the activity profile of H-Arg-NH-Mec was identified by its ionization enthalpy delta Hion = 21 kJ/mol as a beta-carboxylate or gamma-carboxylate of the enzyme, whereas the residue with a pKa2 of 7.4 was assigned to the free alpha-amino group of the substrate with a delta Hion of 59 kJ/mol. Bz-Arg-NH-Mec showed a different pH-activity profile with a pKa1 of 5.4 and a pKa2 of 6.6 at 30 degrees C. Cathepsin H exhibits no preference for a basic P1 side chain as has been shown by the similar kinetics of H-Arg-NH-Mec and the uncharged, isosteric substrate H-Cit-NH-Mec. In summary, specific interactions of an anionic cathepsin H active site residue with the charged alpha-amino group of substrates caused transition state stabilization which proves the enzyme to act preferentially as an aminopeptidase.     

The catalytic mechanism of carbonic anhydrase. Hydrogen-isotope effects on the kinetic parameters of the human C isoenzyme.

1. The steady-state kinetics of the interconversion of CO2 and HCO3 catalyzed by human carbonic anhydrase C was studied using 1H2O and 2H2O as solvents. The pH-independent parts of the parameters k(cat) and Km are 3-4 times larger in 1H2O than in 2H2O for both directions of the reaction, while the ratios k(cat)/Km show much smaller isotope effects. With either CO2 or HCO3 as substrate the major pH dependence is observed in k(cat), while Km appears independent of pH. The pKa value characterizing the pH-rate profiles is approximately 0.5 unit larger in 2H2O than in 1H2O. 2. The hydrolysis of p-nitrophenyl acetate catalyzed by human carbonic anhudrase C is approximately 35% faster in 2H2O than in 1H2O. In both solvents the pKa values of the pH-rate profiles are similar to those observed for the CO2-HCO3 interconversion. 3. It is tentatively proposed that the rate-limiting step at saturating concentrations of CO2 or HCO3 is an intramolecular proton transfer between two ionizing groups in the active site. It cannot be decided whether the transformation between enzyme-bound CO2 and HCO3 involves a proton trnasfer or not.     

The anomalous pKa of Tyr-9 in glutathione S-transferase A1-1 catalyzes product release

The pKa of the catalytic Tyr-9 in glutathione S-transferase (GST) A1-1 is lowered from 10.3 to approximately 8.1 in the apoenzyme and approximately 9.0 with a GSH conjugate bound at the active site. However, a clear functional role for the unusual Tyr-9 pKa has not been elucidated. GSTA1-1 also includes a dynamic C terminus that undergoes a ligand-dependent disorder-to-order transition. Previous studies suggest a functional link between Tyr-9 ionization and C-terminal dynamics. Here we directly probe the role of Tyr-9 ionization in ligand binding and C-terminal conformation. An engineered mutant of rGSTA1-1, W21F/F222W, which contains a single Trp at the C terminus, was used as a fluorescent reporter of pH-dependent C-terminal dynamics. This mutant exhibited a pH-dependent change in Trp-222 emission properties consistent with changes in C-terminal solvation or conformation. The apparent pKa values for the conformational transition were 7.9 +/- 0.1 and 9.3 +/- 0.1 for the apoenzyme and ligand-bound enzyme, respectively, in excellent agreement with the pKa for Tyr-9 in these states. The Y9F/W21F/F222W mutant, however, exhibited no such pH-dependent changes. Time-resolved fluorescence anisotropy studies revealed a ligand-dependent, Tyr-9-dependent, change in the order parameter of Trp-222. However, no pH dependence was observed. In equilibrium and pre-steady-state ligand binding studies, product conjugate had a decreased equilibrium binding affinity (KD), concomitant with increased binding and dissociation rates, at higher pH values. Furthermore, the recovered pKa values for the pH-dependent microscopic rate constants ranged from 7.7 to 8.4, also in agreement with the pKa of Tyr-9. In contrast, the Y9F/W21F/F222W mutant had no pH-dependent transition in KD or rate constants for ligand binding or dissociation. The combined results indicate that the macroscopic populations of "open" and "closed" states of the C terminus are not determined solely by the ionization state of Tyr-9. However, the rates of transition between these states are faster for the ionized Tyr-9. The ionized Tyr-9 states provide a parallel pathway for product dissociation, which is kinetically and thermodynamically favored. In silico kinetic models further support the functional role for the parallel dissociation pathway provided by ionized Tyr-9.     

Effects of mutations of the active site arginine residues in 4-oxalocrotonate tautomerase on the pKa values of active site residues and on the pH dependence of catalysis.

The unusually low pK(a) value of the general base catalyst Pro-1 (pK(a) = 6.4) in 4-oxalocrotonate tautomerase (4-OT) has been ascribed to both a low dielectric constant at the active site and the proximity of the cationic residues Arg-11 and Arg-39 [Stivers, J. T., Abeygunawardana, C., Mildvan, A. S., Hajipour, G., and Whitman, C. P. (1996) Biochemistry 35, 814-823]. In addition, the pH-rate profiles in that study showed an unidentified protonated group essential for catalysis with a pK(a) of 9.0. To address these issues, the pK(a) values of the active site Pro-1 and lower limit pK(a) values of arginine residues were determined by direct (15)N NMR pH titrations. The pK(a) values of Pro-1 and of the essential acid group were determined independently from pH-rate profiles of the kinetic parameters of 4-OT in arginine mutants of 4-OT and compared with those of wild type. The chemical shifts of all of the Arg Nepsilon resonances in wild-type 4-OT and in the R11A and R39Q mutants were found to be independent of pH over the range 4.9-9.7, indicating that no arginine is responsible for the kinetically determined pK(a) of 9.0 for an acidic group in free 4-OT. With the R11A mutant, where k(cat)/K(m) was reduced by a factor of 10(2.9), the pK(a) of Pro-1 was not significantly altered from that of the wild-type enzyme (pK(a) = 6.4 +/- 0.2) as revealed by both direct (15)N NMR titration (pK(a) = 6.3 +/- 0.1) and the pH dependence of k(cat)/K(m) (pK(a) = 6.4 +/- 0.2). The pH-rate profiles of both k(cat)/K(m) and k(cat) for the reaction of the R11A mutant with the dicarboxylate substrate, 2-hydroxymuconate, showed humps, i.e., sharply defined maxima followed by nonzero plateaus. The humps disappeared in the reaction with the monocarboxylate substrate, 2-hydroxy-2,4-pentadienoate, indicating that, unlike the wild-type enzyme which reacts only with the dianionic form of the dicarboxylic substrate, the R11A mutant reacts with both the 6-COOH and 6-COO(-) forms, with the 6-COOH form being 12-fold more active. This reversal in the preferred ionization state of the 6-carboxyl group of the substrate that occurs upon mutation of Arg-11 to Ala provides strong evidence that Arg-11 interacts with the 6-carboxylate of the substrate. In the R39Q mutant, where k(cat)/K(m) was reduced by a factor of 10(3), the kinetically determined pK(a) value for Pro-1 was 4.6 +/- 0.2, while the ionization of Pro-1 showed negative cooperativity with an apparent pK(a) of 7.1 +/- 0.1 determined by 1D (15)N NMR. From the Hill coefficient of 0.54, it can be shown that the apparent pK(a) value of 7.1 could result most simply from the averaging of two limiting pK(a) values of 4.6 and 8.2. Mutation of Arg-39, by altering the structure of the beta-hairpin which covers the active site, could result in an increase in the solvent exposure of Pro-1, raising its upper limit pK(a) value to 8.2. In the R39A mutant, the kinetically determined pK(a) of Pro-1 was also low, 5.0 +/- 0.2, indicating that in both the R39Q and R39A mutants, only the sites with low pK(a) values were kinetically operative. With the fully active R61A mutant, the kinetically determined pK(a) of Pro-1 (pK(a) = 6.5 +/- 0.2) agreed with that of wild-type 4-OT. It is concluded that the unusually low pK(a) of Pro-1 shows little contribution from electrostatic effects of the nearby cationic Arg-11, Arg-39, and Arg-61 residues but results primarily from a site of low local dielectric constant.     

pH dependence of the kinetic parameters for 3-oxo-delta 5-steroid isomerase. Substrate catalysis and inhibition by (3S)-spiro[5 alpha-androstane-3,2'-oxiran]-17-one

The pH-rate profiles for kcatobsd and (kcat/KM)obsd at 25.0 degrees C have been measured for 3-oxo-delta 5-steroid isomerase by using 5-androstene-3,17-dione (2), 5-pregnene-3,20-dione (3), and 5(10)-estrene-3,17-dione (4) as substrates. Results from the nonsticky substrate 4 suggest values for the pK of a catalytically important group on the free enzyme (pKE) of 4.57 and the pK of the same group in the enzyme-substrate complex of 4.74. For the sticky substrates 2 and 3, pKES is ca. 4.75 and 5.5, respectively. Analysis of the (kcat/KM)obsd vs. pH profile for 2 reveals that the intermediate E X S complex decomposes to products at a rate similar to its reversion to E + S. The pH-rate profile for inhibition of the isomerase by (3S)-spiro-[5 alpha-androstane-3,2'-oxiran]-17-one (7 beta) shows values for pKE of 4.75 and pKEI of 4.90. The similarity of the pH-rate profiles for isomerization of 4 and inhibition by 7 beta suggests that both reactions may be governed by the ionization state of the same carboxyl group of the enzyme.     

Electrostatic pKa computations in proteins: role of internal cavities

The solvent accessible surface area (SASA) algorithm is conventionally used to characterize protein surfaces in electrostatic energy computations of proteins. Unfortunately, it often fails to find narrow cavities inside a protein. As a consequence pK(a) computations based on this algorithm perform badly. In this study a new cavity-algorithm is introduced, which solves this problem and provides improved pK(a) values. The procedure is applied to 20 pK(a) values of titratable groups introduced as point mutations in SNase variants, where crystal structures are available. The computations of these pK(a)s are particular challenging, since they are placed in a rather hydrophobic environment. For nine mutants, where the titratable residue is in contact with a large cavity, the RMSD(pKa) between computed and measured pK(a) values is 2.04, which is a considerable improvement as compared to the original results obtained with Karlsberg(+) (http://agknapp.chemie.fu-berlin.de/karlsberg/) that yielded an RMSD(pKa) of 8.8. However, for 11 titratable residues the agreement with experiments remains poor (RMSD(pKa) = 6.01). Considering 15 pK(a)s of SNase, which are in a more conventional less hydrophobic protein environment, the RMSD(pKa) is 2.1 using the SASA-algorithm and 1.7 using the new cavity-algorithm. The agreement is reasonable but less good than what one would expect from the general performance of Karlsberg(+) indicating that SNase belongs to the more difficult proteins with respect to pK(a) computations. We discuss the possible reasons for the remaining discrepancies between computed and measured pK(a)s.     

Insight into the polar reactivity of the onium chalcogen analogues of S-adenosyl-L-methionine

S-Adenosyl-L-methionine (AdoMet) is one of Nature's most diverse metabolites, used not only in a large number of biological reactions but amenable to several different modes of reactivity. The types of transformations in which it is involved include decarboxylation, electrophilic addition to any of the three carbons bonded to the central sulfur atom, proton removal at carbons adjacent to the sulfonium, and reductive cleavage to generate 5'-deoxyadenosyl 5'-radical intermediates. At physiological pH and temperature, AdoMet is subject to three spontaneous degradation pathways, the first of which is racemization of the chiral sulfonium group, which takes place in a pH-independent manner. The two remaining pathways are pH-dependent and include (1) intramolecular attack of the alpha-carboxylate group onto the gamma-carbon, affording L-homoserine lactone (HSL) and 5'-methylthioadenosine (MTA), and (2) deprotonation at C-5', initiating a cascade that results in formation of adenine and S-ribosylmethionine. Herein, we describe pH-dependent stability studies of AdoMet and its selenium and tellurium analogues, Se-adenosyl-L-selenomethionine and Te-adenosyl-L-telluromethionine (SeAdoMet and TeAdoMet, respectively), at 37 degrees C and constant ionic strength, which we use as a probe of their relative intrinsic reactivities. We find that with AdoMet intramolecular nucleophilic attack to afford HSL and MTA exhibits a pH-rate profile having two titratable groups with apparent pK(a) values of 1.2 +/- 0.4 and 8.2 +/- 0.05 and displaying first-order rate constants of <0.7 x 10(-6) s(-1) at pH values less than 0.5, approximately 3 x 10(-6) s(-1) at pH values between 2 and 7, and approximately 15 x 10(-6) s(-1) at pH values greater than 9. Degradation via deprotonation at C-5' follows a pH-rate profile having one titratable group with an apparent pK(a) value of approximately 11.5. The selenium analogue decays significantly faster via intramolecular nucleophilic attack, also exhibiting a pH-rate profile with two titratable groups with pK(a) values of approximately 0.86 and 8.0 +/- 0.1 with first-order rate constants of <7 x 10(-6) s(-1) at pH values less than 0.9, approximately 32 x 10(-6) s(-1) at pH values between 2 and 7, and approximately 170 x 10(-6) s(-1) at pH values greater than 9. Degradation via deprotonation at C-5' proceeds with one titratable group displaying an apparent pK(a) value of approximately 14.1. Unexpectedly, TeAdoMet did not decay at an observable rate via either of these two pathways. Last, enzymatically synthesized AdoMet was found to racemize at rates that were consistent with earlier studies (Hoffman, J. L. (1986) Biochemistry 25, 4444-4449); however, SeAdoMet and TeAdoMet did not racemize at detectable rates. In the accompanying paper, we use the information obtained in these model studies to probe the mechanism of cyclopropane fatty acid synthase via use of the onium chalcogens of AdoMet as methyl donors.     

PH-dependence of the steady-state rate of a two-step enzymic reaction.

1. The pH-dependence is considered of a reaction between E and S that proceeds through an intermediate ES under "Briggs-Haldane' conditions, i.e. there is a steady state in ES and [S]o greater than [E]T, where [S]o is the initial concentration of S and [E]T is the total concentration of all forms of E. Reactants and intermediates are assumed to interconvert in three protonic states (E equilibrium ES; EH equilibrium EHS; EH2 equilibrium EH2S), but only EHS provides products by an irreversible reaction whose rate constant is kcat. Protonations are assumed to be so fast that they are all at equilibrium. 2. The rate equation for this model is shown to be v = d[P]/dt = (kcat.[E]T[S]o/A)/[(KmBC/DA) + [S]o], where Km is the usual assembly of rate constants around EHS and A-D are functions of the form (1 + [H]/K1 + K2/[H]), in which K1 and K2 are: in A, the molecular ionization constants of ES; in B, the analogous constants of E; in C and D, apparent ionization constants composed of molecular ionization constants (of E or ES) and assemblies of rate constants. 3. As in earlier treatments of this type of reaction which involve either the assumption that the reactants and intermediate are in equilibrium or the assumption of Peller & Alberty [(1959) J. Am. Chem. Soc. 81, 5907-5914] that only EH and EHS interconvert directly, the pH-dependence of kcat. is determined only by A. 4. The pH-dependence of Km is determined in general by B-C/A-D, but when reactants and intermediate are in equilibrium, C identical to D and this expression simplifies to B/A. 5. The pH-dependence of kcat./Km, i.e. of the rate when [S]o less than Km, is not necessarily a simple bell-shaped curve characterized only by the ionization constants of B, but is a complex curve characterized by D/B-C. 6. Various situations are discussed in which the pH-dependence of kcat./Km is determined by assemblies simpler than D/B-C. The special situation in which a kcat./Km-pH profile provides the molecular pKa values of the intermediate ES complex is delineated.     

Calorimetric determination of linkage effects involving an acyl-enzyme intermediate

Enthalpy changes of alpha-chymotrypsin acylation by 3-(2-furyl)acryloylimidazole (FAI) were calorimetrically determined as a function of pH. By observing the functional dependence of acylation enthalpies on buffer ionization heats, a complex pH profile was obtained describing proton release accompanying formation of acyl-enzyme. A pKa of 4.0 for FAI ionization and apparent pKa values of 6.8, 7.55 and 8.8 on the enzyme were used to account for the proton release data. A model which accounts for the proton release behavior was used to fit the acylation enthalpy data and values for the apparent dissociation enthalpies of the groups involved were obtained along with a pH-independent intrinsic enthalpy of acylation. This model suggests a group with an apparent pK = 6.8 and delta Hion = 8.7 kcal/mol which is perturbed to a pK of 7.55 and delta Hion = 7.6 kcal/mol on attachment of the acyl moiety to the enzyme. The apparent ionization enthalpy change for the active-inactive transition (pK3 = 8.8; delta H = 3.0 kcal/mol) corresponds with that calculated from the data of Fersht (J. Mol. Biol. 64 (1972) 497). The pH-independent intrinsic enthalpy of acylation (delta H = -7.9 kcal/mol) is corrected for group ionizations linked to the acylation process. Consequently, it more closely reflects molecular processes of interest such as substrate binding, covalent bond rearrangement, and product release.     

Empirical relationships between protein structure and carboxyl pKa values in proteins

Relationships between protein structure and ionization of carboxyl groups were investigated in 24 proteins of known structure and for which 115 aspartate and 97 glutamate pK(a) values are known. Mean pK(a) values for aspartates and glutamates are < or = 3.4 (+/-1.0) and 4.1 (+/-0.8), respectively. For aspartates, mean pK(a) values are 3.9 (+/-1.0) and 3.1 (+/-0.9) in acidic (pI < 5) and basic (pI > 8) proteins, respectively, while mean pK(a) values for glutamates are approximately 4.2 for acidic and basic proteins. Burial of carboxyl groups leads to dispersion in pK(a) values: pK(a) values for solvent-exposed groups show narrow distributions while values for buried groups range from < 2 to 6.7. Calculated electrostatic potentials at the carboxyl groups show modest correlations with experimental pK(a) values and these correlations are not improved by including simple surface-area-based terms to account for the effects of desolvation. Mean aspartate pK(a) values decrease with increasing numbers of hydrogen bonds but this is not observed at glutamates. Only 10 pK(a) values are > 5.5 and most are found in active sites or ligand-binding sites. These carboxyl groups are buried and usually accept no more than one hydrogen bond. Aspartates and glutamates at the N-termini of helices have mean pK(a) values of 2.8 (+/-0.5) and 3.4 (+/-0.6), respectively, about 0.6 units less than the overall mean values.     

Evidence for a two-state transition in papain that may have no close analogue in ficin. Differences in the disposition of cationic sites and hydrophobic binding areas in the active centres of papain and ficin.

The kinetics of the reactions of the active-centre thiol groups of papain (EC 3.4.22.2) and ficin (EC 3.4.22.3) with the two-protonic-state reactivity probes 2,2'-dipyridyl disulphide, n-propyl 2-pyridyl disulphide and 4-(N-aminoethyl 2'-pyridyl disulphide)- 7-nitrobenzo-2-oxa-1,3-diazole (compound I) were studied over a wide range of pH. Differences between the reactivities of ficin and papain towards the cationic forms of the alkyl 2-pyridyl disulphide probes suggest that ficin contains a cationic site without exact analogue in papain, and the striking difference in the shapes of the pH-rate profiles for the reactions of the two enzymes with compound (1) suggests differences in the mobilities or dispositions of the active-centre histidine imidazole groups with respect to relevant hydrophobic binding areas. The evidence from reactivity-probe studies that the papain catalytic mechanism involves substantial repositioning of the active-centre imidazole group during the catalytic act does not apply also to ficin. If ficin contains an aspartic acid residue analogous to aspartic acid-158 in papain, the pKa of its carboxy group is probably significantly lower than the pKa of the analogous group in papain.     

Catalytic properties of human Lys77-plasmin. A comparative steady-state and pre-steady-state study

Values of kinetic parameters for the hydrolysis of esters and p-nitroanilides of L-lysine and L-arginine catalyzed by the Lys77 form of human plasmin (EC 3.4.21.7) have been determined between pH 5.5 and 8 (I = 0.1 M) at 21 +/- 0.5 degrees C. Over the whole pH range explored, Lys77-plasmin catalysis conforms to simple Michaelis-Menten kinetics, and steady-state and pre-steady-state data may be consistently fitted to the minimum three-step mechanism: E + S in equilibrium (k+1/k-1)E X S----(k+2)E X P + P1----(k+3)E + P2 In spite of the higher specificity of lysyl derivatives for Lys77-plasmin rather than the arginyl ones, kinetic parameters also depend on the nature of the N-alpha substituent and/or of the alcoholic or p-nitroanilidic moiety of the substrate. Among the esters and anilides considered, ZLysONp shows the most favourable kinetic parameters and may be the substrate of choice of Lys77-plasmin, in that it allows the determination of the enzyme concentration as low as 2 X 10(-9) M (about 1 X 10(-3) CU/ml), at the optimum pH value (approx. 8). Between pH 5.5 and 8, the pH profiles of kcat and kcat/Km for the Lys77-plasmin-catalyzed hydrolysis of ZLysONp and ZArgONp reflect the ionization of a single group (probably His-602 involved in the active site) with pKa values ranging between 6.4 and 6.6; at variance, values of Km are pH-independent.     

The role of a conserved histidine residue in a pyruvate-specific Class II aldolase

Histidine 45 in HpaI was replaced with alanine (H45A) and glutamine (H45Q). In the aldol cleavage reaction, kcat values were lowered by 78- and 2059-fold while Km values were increased by 100- and 42-fold in H45A and H45Q, respectively, compared to the wild-type enzyme. Both mutants displayed higher dissociation constants towards the metal cofactor, pyruvate and the transition state analogue, oxalate. Pyruvate proton exchange rates are consequently reduced in H45A and H45Q. pKa for a catalytic base (6.5) is lost in the mutant enzymes and catalysis is dependent on hydroxide ions. The results show that histidine 45 is important for metal cofactor binding and for facilitating C4-OH proton abstraction of the substrate in the reaction mechanism.     

A probe of the active site acidity of carboxypeptidase A

The substrate analogue 2-(1-carboxy-2-phenylethyl)-4-phenylazophenol is a potent competitive inhibitor of carboxypeptidase A. Upon ligation to the active site, the azophenol moiety undergoes a shift of pKa from a value of 8.76 to a value of 4.9; this provides an index of the Lewis acidity of the active site zinc ion. Examination of the pH dependence of Ki for the inhibitor shows maximum effectiveness in neutral solution (limiting Ki = 7.6 X 10(-7) M), with an increase in Ki in acid (pK1 = 6.16) and in alkaline solution (pK2 = 9.71, pK3 = 8.76). It is concluded that a proton-accepting enzymic functional group with the lower pKa (6.2) controls inhibitor binding, that ionization of this group is also manifested in the hydrolysis of peptide substrates (kcat/Km), and that the identity of this group is the water molecule that binds to the active site metal ion in the uncomplexed enzyme (H2OZn2+L3). Reverse protonation state inhibition is demonstrated, and conventional concepts regarding the mechanism of peptide hydrolysis by the enzyme are brought into question.     

Beta-glucosidase: substrate, solvent, and viscosity variation as probes of the rate-limiting steps

The second-order rate constants (kcat/Km) for the beta-glucosidase-catalyzed hydrolysis of aryl beta-D-glucopyranosides show a bell-shaped dependence of pH. The pKas that characterize this dependence are 4.4 (delta Hion approximately equal to 0) and 6.7 (delta Hion approximately equal to 0). In D2O these pKas are increased by 0.5 (+/- 0.1) unit, but there is no solvent isotope effect on the pH-independent second-order rate constant. Nath and Rydon [Nath, R. L., & Rydon, H. N. (1954) Biochem. J. 57, 1-10] examined the kinetics of the beta-glucosidase-catalyzed hydrolysis of a series of substituted phenyl glucosides. We have extended this study to include glucosides with phenol leaving groups of pKa less than 7. Br?nsted plots for this extended series were nonlinear for both kcat/Km and kcat. Br?nsted coefficients for those compounds with leaving groups of pKa greater than 7 (for kcat/Km) or pKa greater than 8.5 (for kcat) were nearly equal to -1.0, indicating substantial negative charge buildup on the leaving group in the transition state. The nonlinearity indicates an intermediate in the reaction. This was confirmed by partitioning experiments in the presence of methanol as a competing glucose acceptor. A constant product ratio, [methyl glucoside]/[glucose], was found with aryl glucoside substrates varying over 16,000-fold in reactivity (V/K), indicative of a common intermediate. Viscosity variation (in sucrose-containing buffers) was used to probe the extent to which the beta-glucosidase reactions are diffusion-controlled.(ABSTRACT TRUNCATED AT 250 WORDS)