Temperature and requency dependence of solvent proton relaxation rates in solutions of manganese(II) carbonic anhydrase.

Longitudinal and transverse proton relaxation rates of water in solutions of manganese(II) bovine carbonic anhydrase have been measured by pulsed nuclear magnetic resonance spectrometry as a function of temperature (2-35 degrees), frequently (5-100 MHz) and pH. The pH dependence of the longitudinal relaxation rate was fitted to a sigmoidal curve with a pK value at 7.8, while the esterase activity of the manganese(II) enzyme in the hydrolysis of p-nitrophenyl acetate revealed an inflection point at pK = 8.2. The hydration number of manganese(II) carbonic anhydrase could be derived using either the frequency dependence of T1p or the T1p/T2p ratio at only one (high) frequency. Both treatments are in agreement with a model in which one water molecule is bound to the metal at high pH. At low pH the relaxation data imply that no-H20 exists in the first coordination sphere of the manganese ion. The various parameters which are responsible for the proton relaxation mechanisms have been evaluated and are compared to other manganese(II) enzyme systems. The pH dependence of the binding constant of manganese to apocarbonic anhydrase is also reported.     

Relaxation of solvent protons by cobalt bovine carbonic anhydrase.

In a recent report, Bertini et al. (Biochem. Biophys. Res. Comm.78, 158–160 (1977)) argued that the low-pH form of Co²⁺-substituted bovine carbonic anhydrase contains a rapidly exchanging water molecule at the cobalt site. The basis for this was the observation of a pH-independent contribution to the solvent water proton relaxation rate; it was suggested that the result was unobserved by previous workers because of the presence of sulfate in the sample buffer. We have repeated the experiments of Bertini et al. and find that the results can be attributed to an ionic strength-induced shift of the pK of the group responsible for the relaxation enhancement. The amount of high-pH form of the enzyme present (determined spectrophotometrically) at every pH correlates with the relaxation rate, whereas the fraction of high-pH form present at a given pH depends on ionic strength. These results are in agreement with earlier data indicating that the low-pH form of the enzyme does not contribute to solvent water proton relaxation.     

Proton magnetic resonance studies of carbonic anhydrase. II. Group controlling catalytic activity.

The seven resonances observed in the histidine region of the proton magnetic resonance (pmr) spectrum of human carbonic anhydrase B and reported in the preceding paper are studied in the presence of sulfonamide, azide, cyanide, and chloride inhibitors and in metal-free, cadmium substituted, cobalt substituted, and carboxymethylated forms of the enzyme. Results indicate that the two resonances that move-downfield with increasing pH and the two that do not move with pH reflect residues located at the active site. The first two resonances are assigned to the same titratable histidine whose pK value of 8.24 corresponds to that of the group controlling catalytic activity. Addition of anions or sulfonamides, removal of zinc, or substitution of cadmium for zinc at the active site, procedures known to abolish enzymatic activity, prevent titration of this residue. Partial inhibition of carbonic anhydrase by chloride slectively increases the pK value of the group controlling catalytic activity and of the histidine with pK equals 8.24. Experiments with metal-free and cadmium carbonic anhydrases and comparisons with model systems suggest that this histidine is bound to the metal ion at high pH; at low pH this complex appears to dissociate as protons compete with the metal for the imidazole group. It is proposed that ionization of the group controlling catalytic activity represents loss of the pyrrole proton of this neutral ligand when it binds to Zn(II), forming an imidazolate anion and juxtaposing a strong base and a powerful Lewis acid at the active site. When bound to zinc as an anion, this histidine can act as a general base catalyst in the hydration of carbon dioxide and be replaced as a metal ligand by an oxygen of the substrate in the course of the reaction. The histidine-metal complex is thought to exist in a strained configuration in the active enzyme so that its imidazole-metal bond is readily broken on addition of substrates or inhibitors. This model is consistent with the available data on the enzyme and is discussed in relation to alternative proposals.     

Proton magnetic resonance studies of carbonic anhydrase. I. Identification of histidine resonances.

Nuclear magnetic resonance (nmr) spectra of human carbonic anhydrase B recorded in deuterium oxide reveal seven discrete single proton resonances between 7 and 9 ppm downfield from sodium 2,2-dimethyl-i-silapentane-5-sulfonate. Simplification of spectra by use of Fremy's salt, comparison of peak widths at intersections, and evaluation of the results of inhibition and modification experiments permit determination of the pH dependencies of these resonances. Five of these peaks change position with increasing pH; three move upfield by approximately 95 Hz and two move downfield by 10 and 23 Hz. The first three reflect residues with pK values of 7.23, 6.98, and 6 and can be assigned to the C-2 protons of histidines. The two remaining pH dependent resonances reflect groups with pK values of 8.2 and 8.24. Their line widths and T1 values are comparable to those of the first group, and they also appear to reflect C-H protons of histidines. Despite the structural and functional similarities of the B and C isozymes of human carbonic anhydrase, few of the low field resonances appear to be common to both. Six histidine C-2 protons are observed in the C enzyme and reflect groups with pK values of approximately 7.3, 6.5, 5.7, 6.6, 6.6, and 6.4. A seventh peak contains two protons and moves upfield with increasing pH without titrating. A final resonance to low field moves downfield with increasing pH and reflects a group with a pK between 6 and 7. Its behavior resembles that of peak 1 of the human B enzyme, and it also appears to be a histidine C-H proton. This peak may reflect a conserved residue in the two isozymes that plays an important role in enzymatic function, as discussed in the following paper.     

Carbon-13 nuclear magnetic resonance probe of active-site ionizations in human carbonic anhydrase B.

Human carbonic anhydrase B (HCAB), prepared by a new affinity chromatography procedure, was carboxymethylated exclusively at NT of its active-site histidine-200 using 90% [1-13C]bromoacetate. The 13C nuclear magnetic resonance signal of the covalently attached carboxylate was easily detected over the natural abundance background due to the other carbonyl and carboxyl carbons of this 29 000 molecular weight zinc metalloenzyme. Its chemical shift proved very sensitive to the presence of inhibitors in the active site and to variations in pH. Two perturbing groups with pKa values of 6.0 and 9.2 were assigned to the modified histidine-200 itself and the zinc-bound water ligand, respectively, making use of 13C NMR titration data on Nr- and Nr-carboxymethyl-L-histidine model compounds. The results rule out histidine-200 as the critical group whose ionization controls the catalytic activity. They also strongly suggest an interaction of the carboxylate of the carboxymethyl group with either the zinc or its water ligand around pH 8, possibly explaining the basis for the major differences between HCAB and CmHCAB.     

Evidence of exchangeable protons in the donor groups of the acidic form of cobalt bovine carbonic anhydrase B.

T₁ relaxation measurements on water protons of solutions containing cobalt(II) bovine carbonic anhydrase have been found to be affected by the paramagnetic center. T₁ shortening has been found to be substantially pH independent. These data are diagnostic of the presence of exchangeable protons in the donor groups of the enzyme, and consistent with a water molecule in the donor set at low pH values. Previous researchers failed to reveal exchangeable protons at low pH values because of the presence of Tris-sulfate buffer which interacts with the metal ion.     

Interaction of the unique competitive inhibitor imidazole with human carbonic anhydrase B.

Imidazole was previously found to be unique among the inhibitors of human carbonic anhydrase B (HCAB) in that it binds competitively with the CO2 substrate (Khalifah, R. G. (1971), J. Biol. Chem. 246, 2561). We report here an aromatic ultraviolet difference spectral study of its interaction with HCAB and compare it with a variety of other inhibitors. Imidazole is found to be unique in that: (1) it generates a different spectrum upon binding that is also much supressed in intensity; (2) its affinity for HCAB is maximal at high pH, being abolished upon its protonation and being independent of active-site ionizations. Imidazole differs from CO2 in that it binds competitively with the anionic inhibitor iodide. The unique properties of imidazole binding are consistent with the recently determined crystal structure of its complex with HCAB showing it to bind as a weak and distant fifth ligand of the essential zinc atom, rather than displacing the solvent molecule in the fourth ligand position (Kannan, K.K., Petef, M., Fridborg, K., Cid-Dresdner, H., and L?vgren, S. (1977), FEBS Lett 73, 115).     

The esterase activity of bovine carbonic anhydrase B above pH 9. Reversible and cooalent inhibition by acetozolamide.

The reversible complex between the metalloenzyme bovine carbonic anhydrase B and the sulfonamide inhibitor acetazolamide can be "frozen" irreversibly by the addition of a covalent bond between the methyl group of the inhibitor and the tau-nitrogen of histidine-64. In both cases the inhibited enzyme is inactive as an esterase toward p-nitrophenyl propionate at physiological pH but retains activity controlled by an ionization in the protein exhibiting a pK-a greater than 10. Similarly, both the covalently and reversibly inhibited enzymes in which the catalytically essential Zn(II) ion has been replaced with Co(II) display the same visible absorption spectrum which is invariant over the pH range from 5 to 12. The evidence therefore indicates that the position of the acetazolamide moiety in the active site is independent of both pH and the presence of the covalent bond to histidine-64. Moreover, when reversibly bound, this inhibitor has been shown to replace the water molecule (or hydroxide ion) known to occupy the fourth coordination position of the metal ion and frequently implicated in the catalytic mechanism of carbonic anhydrases. Thus, the activity exhibited by the inhibited enzymes and consequently the second rise observed in the pH rate profile of the native enzyme above pH 0 cannot reflect the ionization of such a water molecule in contrast to what has been postulated previously (Pocker, Y., and Storm, D. R. (1968) Biochemistry 7, 1202-1214). Displacement of the zinc-bound solvent molecule rather than the alkylation of histidine-64 is suggested, however, as the cause of the inactivation of the alkylated enzyme round neutrality. Taken together, the biphasic pH rate profile of native bovine carbonic anhydrase B as well as the activity retained by the alkylated enzyme above pH 9 are best described by a model in which two groups in the enzyme ionize independently, thereby raising the possibility that the high pH activity is controlled by an ionization outside the active site region of the enzyme. Above pH 9.5 the pK; for the reversible interaction between native carbonic anhydrase and acetazolamide falls off linearly with increasing pH. The slope of --1.56 suggests that, among other factors, more than one ionization is responsible for the descending limb of the pH-i-pH profile.     

Kinetic characterization of wild-type and proton transfer-impaired variants of beta-carbonic anhydrase from Arabidopsis thaliana

We have cloned and overexpressed a truncated, recombinant form of beta-carbonic anhydrase from Arabidopsis thaliana. The wild-type enzyme and two site-directed variants, H216N and Y212F, have been kinetically characterized both at steady state by stopped-flow spectrophotometry and at chemical equilibrium by (18)O isotope exchange methods. The wild-type enzyme has a maximal k(cat) for CO2 hydration of 320 ms(-1) and is rate limited by proton transfer involving two residues with apparent pK(a) values of 6.0 and 8.7. The mutant enzyme H216N has a maximal k(cat) at high pH that is 43% that of wild type, but is only 5% that of wild type at pH 7.0. (18)O exchange studies reveal that the effect of the mutations H216N or Y212F is primarily on proton transfer steps in the catalytic mechanism and not in the rate of CO2-HCO3- exchange. These results suggest that residues His-216 and Tyr-212 are both important for efficient proton transfer in A. thaliana carbonic anhydrase.     

Reaction of N,N-diethyldithiocarbamate and other bidentate ligands with Zn, Co and Cu bovine carbonic anhydrases. Inhibition of the enzyme activity and evidence for stable ternary enzyme-metal-ligand complexes

The reactions with N,N-diethyldithiocarbamate (DDC) of zinc, cobalt and copper carbonic anhydrase from bovine erythrocytes were investigated. The native zinc enzyme was inhibited by DDC, but no removal of zinc could be detected even at a very high [ligand]/[protein] ratio. At identical pH values a larger inhibitory effect was found for the cobalt enzyme. The metal was removed by DDC from the protein at pH less than 7.0. No cobalt removal occurred at pH 10, where a stable ternary complex with the enzyme-bound Co(II) was detected. Its optical and EPR spectra are indicative of five-coordinate Co(II). The reaction of the Cu(II) enzyme with stoichiometric chelating agent was marked by the appearance of an electronic transition at 390 nm (epsilon = 4300 M-1 X cm-1). Metal removal from the copper enzyme readily occurred as the ligand was in excess over the metal, with parallel appearance of a band at 440 nm, which was attributed to the free Cu(II)-DDC complex. Also, in the case of the copper enzyme an alkaline pH was found to stabilize the ternary adduct with the diagnostic 390 nm band. EPR spectra showed that the ternary adduct is a mixture of two species, both characterized by the presence in the EPR spectrum of a superhyperfine structure from two protein nitrogens and by a low g parallel value, indicative of coordination to sulfur ligands. It is suggested that the two species contain the metal as penta- and hexacoordinated, respectively. Measurements of the longitudinal relaxation time, T1, of the water protons suggested that water coordination is retained in the latter case. Hexacoordination with retention of water is also proposed for the Cu(II) derivatives with the bidentate oxalate and bicarbonate anions, unlike the corresponding Co(II) derivatives, which are pentacoordinated. Different coordination of Co(II) and Cu(II) adducts may be relevant to the difference of activity of the two substituted enzymes.     

Effects of two ionizing groups on the active site of human carbonic anhydrase B.

Investigation of some pH-dependent properties of human erythrocyte carbonic anhydrase B indicate that the active site is influenced by at least two charged groups. The properties studied include the pH dependence of inhibition of native, monocarboxamidomethyl, and monocarboxymethyl enzymes by iodide ion and the pH dependence of the visible spectra of the cobalt derivatives of these enzymes. One ionizing group has a pKa of about 7.3 in the native enzyme, 8.2 in the carboxyamidomethyl enzyme, and 9.0 in the carboxymethyl enzyme. It has a major influence on activity and anion inhibition, and on the visible spectra of the cobalt enzymes. A second group has a pKa of about 6.1 in native and modified enzymes. When zinc is at the active site, the secondary group in its acidic form decreases the Ki for I-. With the carboxyamidomethyl and carboxymethyl enzymes, the Ki decreases by about an order of magnitude. However, if cobalt is substituted for zinc in the modified enzymes, this group does not influence the Ki for I- and the binding of I- does not influence the pKa of the spectral transitions caused by ionization of this secondary group. In the case of nonalkylated Co2+-enzyme, another ionizing group with a pK of about 6.2 prevents the binging of I- at low pH. These results show that the active site is altered when cobalt is substituted for zinc in carbonic anhydrase B.     

Catalysis by cobalt(II)-substituted carbonic anhydrase II of the exchange of oxygen-18 between CO2 and H2O

We have measured the catalysis by Co(II)-substituted bovine carbonic anhydrase II from red cells of the exchange of 18O between CO2 and H2O using membrane-inlet mass spectrometry. We chose Co(II)-substituted carbonic anhydrase II because the apparent equilibrium dissociation constant of HCO3- and enzyme at pH 7.4, KHCO3-eff approximately equal to 55 mM, was within a practicable range of substrate concentrations for the 18O method. For the native, zinc-containing enzyme KHCO3-eff is close to 500 mM at this pH. The rate constant for the release from the active site of water bearing substrate oxygen kH2O was dependent on the fraction of enzyme that was free, not bound by substrate HCO3- or anions. The pH dependence of kH2O in the pH range 6.0-9.0 can be explained entirely by a rate-limiting, intramolecular proton transfer between cobalt-bound hydroxide and a nearby group, probably His-64. The rate constant for this proton transfer was found to be 7 X 10(5) S-1 for the Co(II)-substituted enzyme and 2 X 10(6) S-1 for the native enzyme. These results are applied to models derived from proton-relaxation enhancement of water exchanging from the inner coordination shell of the cobalt in carbonic anhydrase. The anions iodide, cyanate, and thiocyanate inhibited catalysis of 18O exchange by Co(II)-substituted carbonic anhydrase II in a manner competitive with total substrate (CO2 and HCO3-) at chemical equilibrium and pH 7.4. These results are discussed in terms of observed steady-state inhibition patterns and suggest that there is no significant contribution of a ternary complex between substrate, inhibitor, and enzyme.     

Chemical rescue of proton transfer in catalysis by carbonic anhydrases in the beta- and gamma-class

Catalysis of the dehydration of HCO(3)(-) by carbonic anhydrase requires proton transfer from solution to the zinc-bound hydroxide. Carbonic anhydrases in each of the alpha, beta, and gamma classes, examples of convergent evolution, appear to have a side chain extending into the active site cavity that acts as a proton shuttle to facilitate this proton transfer, with His 64 being the most prominent example in the alpha class. We have investigated chemical rescue of mutants in two of these classes in which a proton shuttle has been replaced with a residue that does not transfer protons: H216N carbonic anhydrase from Arabidopsis thaliana (beta class) and E84A carbonic anhydrase from the archeon Methanosarcina thermophila (gamma class). A series of structurally homologous imidazole and pyridine buffers were used as proton acceptors in the activation of CO(2) hydration at steady state and as proton donors of the exchange of (18)O between CO(2) and water at chemical equilibrium. Free energy plots of the rate constants for this intermolecular proton transfer as a function of the difference in pK(a) of donor and acceptor showed extensive curvature, indicating a small intrinsic kinetic barrier for the proton transfers. Application of Marcus rate theory allowed quantitative estimates of the intrinsic kinetic barrier which were near 0.3 kcal/mol with work functions in the range of 7-11 kcal/mol for mutants in the beta and gamma class, similar to results obtained for mutants of carbonic anhydrase in the alpha class. The low values of the intrinsic kinetic barrier for all three classes of carbonic anhydrase reflect proton transfer processes that are consistent with a model of very rapid proton transfer through a flexible matrix of hydrogen-bonded solvent structures sequestered within the active sites of the carbonic anhydrases.     

Paramagnetic 1H and 13C NMR studies on cobalt-substituted human carbonic anhydrase I carboxymethylated at active site histidine-200: molecular basis for the changes in catalytic properties induced by the modification

Using bromo[1-13C]acetate to modify N tau of His-200 of human carbonic anhydrase isozyme I leads to the introduction of a useful 13C NMR probe into the active site. To complement our previous diamagnetic NMR studies with this probe, we have now succeeded in directly observing the paramagnetically perturbed resonance of the carboxylate in the cobalt-substituted modified enzyme above pH 8. In the pH range 8-10, the resonance undergoes a pH-dependent slow-exchange process, with the more alkaline form having a much smaller pseudocontact shift and a narrower line width. Below pH 8, the resonance apparently undergoes a very large paramagnetic downfield shift that was estimated by extrapolation. An ionization of approximate pK of 6 appears to control this process. Paramagnetic spin-relaxation studies on the resonance under conditions where it was directly observed yielded distance measurements between the carboxylate carbon and the active site cobalt ion. In inhibitor complexes, this distance was in the range of 5-7 A. In the absence of inhibitors, the distance was approximately 3.0-3.2 A at pH 7.9, consistent with the coordination of the carboxylate to the metal. However, at pH 10, the distance was increased to 4.8 A. These distance determinations were aided by relaxation measurements of a paramagnetically shifted proton resonance at 60-65 ppm downfield assigned by others to a proton of a ligand histidine of metal and confirmed by us to be 5.2 +/- 0.1 A from the metal. Our findings provide a molecular basis for the observed changes in catalytic properties that accompany the carboxymethylation.     

Proton transfer from exogenous donors in catalysis by human carbonic anhydrase II

In the site-specific mutant of human carbonic anhydrase in which the proton shuttle His64 is replaced with alanine, H64A HCA II, catalysis can be activated in a saturable manner by the proton donor 4-methylimidazole (4-MI). From 1H NMR relaxivities, we found 4-MI bound as a second-shell ligand of the tetrahedrally coordinated cobalt in Co(II)-substituted H64A HCA II, with 4-MI located about 4.5 A from the metal. Binding constants of 4-MI to H64A HCA II were estimated from: (1) NMR relaxation of the protons of 4-MI by Co(II)-H64A HCA II, (2) the visible absorption spectrum of Co(II)-H64A HCA II in the presence of 4-MI, (3) the inhibition by 4-MI of the catalytic hydration of CO2, and (4) from the catalyzed exchange of 18O between CO2 and water. These experiments along with previously reported crystallographic and catalytic data help identify a range of distances at which proton transfer is efficient in carbonic anhydrase II.     

Bovine liver dihydropyrimidine amidohydrolase: pH dependencies of the steady-state kinetic and proton relaxation rate properties of the Mn(II)-containing enzyme

The essential Zn(II) in bovine liver dihydropyrimidine amidohydrolase (DHPase) was removed by incubation with 2,6-dipicolinic acid and replaced with Mn(II). Electron paramagnetic resonance studies of Mn(II) binding show that there are four binding sites per tetramer, and the dissociation constant at pH 7.5 is 13.5 microM. The substitution of Mn(II) for Zn(II) increases the specific activity of the enzyme approximately sixfold but has only a small effect (twofold increase) on the Km for 5-bromo-5,6-dihydrouracil (BrH2Ura). The pH dependence of the catalytic properties of Mn(II)-DHPase is the same as for the Zn(II) enzyme (Lee, M., Cowling, R., Sander, E., and Pettigrew, D. (1986) Arch. Biochem. Biophys. 248, 368-378). The pH dependence is well described in terms of the ionization of a single group with a pK of about 6 in the free enzyme. The ionization of this group is required for catalytic activity. The substitution of Mn(II) for Zn(II) does not affect the pH dependence of DHPase catalysis and therefore strongly suggests that the ionizable group is an amino acid residue at or near the active site, rather than a metal-bound water molecule. The pH dependence of the enhancement of the paramagnetic effect of the DHPase-Mn complex on the relaxation rate of the solvent water protons also is well described in terms of the ionization of a single group with a pK of about 6. Ionization of the group which is involved in catalysis also perturbs the environment of the bound Mn(II). The ionization of the active site group does not affect the number of exchangeable water molecules but does affect the symmetry of the environment of the bound Mn(II) and its electron relaxation.     

Role of hemoglobin in proton transfer to the active site of carbonic anhydrase.

The binding of bovine oxyhemoglobin to bovine carbonic anhydrase with a dissociation constant between 10(-5) and 10(-7) M has been determined by countercurrent distribution using aqueous, biphasic polymer systems. This result provides an explanation for the very efficient proton transfer between hemoglobin and carbonic anhydrase, a transfer which enhances the catalytic activity of carbonic anhydrase as measured by 18O exchange between bicarbonate and water at chemical equilibrium (Silverman, D. N., Tu, C. K., and Wynns, G. C. (1978) J. Biol. Chem, 253, 2563-2567). Two rate constants describing 18O exchange activity of carbonic anhydrase at pH 7.5 show saturation behavior when plotted against hemoglobin concentration consistent with a dissociation constant of 2.5 X 10(-6) M between bovine hemoglobin and carbonic anhydrase. Interpretation of these rate constants in terms of a two-step model for 18O exchange indicates that hemoglobin enhances the rate of exchange from carbonic anhydrase of water containing the oxygen abstracted from bicarbonate, but does not affect the catalytic interconversion of CO2 and HCO3- at chemical equilibrium.     

Neoprontosil binding to carbonic anhydrase. Reasonance Raman and other studies on the ionization behavior of the sulfonamide.

Alkalimetric, spectrophotometric, NMR, and resonance Raman titrations are reported for the sulfonamide Neoprontosil in aqueous solution. An assignment of the magnetic resonance peaks for each of the Neoprontosil protons has been made. Neoprontosil is shown to have two "coupled" iity of the microscopic pKs for these two groups precludes spectroscopic characterization of the separate -SO2NH2, -O- or -SO2NH-, -OH species. For this reason, no conclusion can be drawn on the ionization state of the drug when bound to carbonic anhydrase. The resonance Raman spectrum of Neoprontosil bound to human carbonic anhydrase B at pH 9.5 shows a shift in the intense -N=N- stretching mode from 1414 (free) to 1407 cm- (bound), suggesting that a slight conformational change about the -N=N- single bond linkages occurs upon binding.     

Exchange of labeled nuclei in the CO2--HCO3--solvent system catalyzed by carbonic anhydrase.

Silverman et al. (1979. J. Am. Chem. Soc. 101:6734-6740) have reported measurements of the loss of 18O to solvent from the isotopically labeled CO2--HCO3-system and of the mixing of 18O and 13C labels within the system, as catalyzed by human carbonic anhydrase C in the pH range 6-8. This work is an extension of earlier work (Silverman and Tu. 1976. J. Am. Chem. Soc. 98:978-984) on the very similar bovine enzyme. The more recent work is analyzed by its authors in terms of the "hydroxide" model for the apparent pH-dependence of enzymatic activity, a model in which the pH-dependence is associated with the presumed ionization of an H2O ligand of the active-site metal ion to OH-. From a comparison of their data with a solution of the coupled differential equations that describe the kinetics of isotope exchange in terms of the model, Silverman et al. derived a pH-dependent rate of exchange for the water molecule which is formed at the active site of the enzyme during dehydration. By contrast, using the same data and a model in which active enzyme has a water molecule on the metal ion at the active site, and similar differential equations, we derive a value for the rate of exchange of water that is pH-independent. This model has the attraction that it explains the magnetic relaxation rate of solvent water protons in the Co2+-substituted enzyme, whereas the hydroxide mechanism cannot explain these data without the introduction of unfounded ad hoc assumptions; further, the presence of an OH- ligand of the metal has never been demonstrated. We also include an analysis of analogous data for the bovine enzyme. One result of our analysis is that the pKa for activity of the enzyme samples used is near 6.0, implying that the bulk of the data were taken when the enzyme was essentially all active. It is straightforward to account for the pH-dependence of the data near and below the pKa by using an empirically-derived value for the pKa. However, we have recently developed a model for the low pH (inactive) enzyme that has been successful in interpreting a wide range of data, and we show that this new view can explain the few points at low pH quite adequately. Additionally, we consider the recent kinetic results for the human C enzyme, obtained at chemical equilibrium by studies of the linewidths of nuclear magnetic resonances of 13C in labeled substrate (Simonsson et al. 1979. Eur. J. Biochem. 93:409-417) and show that these experiments and those of Silverman et al. are all consistent with kinetic data from nonequilibrium stopped-flow experiments, viewed in terms of our model, in the limit of low substrate concentration. Results at higher concentrations indicate that the Michaelis constants and equilibrium constants differ somewhat.     

Thermodynamics of carbonic anhydrase catalysis. A comparison between human isoenzymes B and C

The CO2 hydration and HCO3- dehydration activities of human red cell carbonic anhydrase isozymes B and C (HCAB and HCAC) have been studied as a function of temperature from 0 degrees to 37 degrees C. The Arrhenius plots of ln kcat versus 1/T are linear for both isozymes in both hydration and dehydration reactions, indicating that the rate-determining steps remain unchanged over this temperature range. The 37 degrees C hydration kcat, at pH 7.5, is 13 X 10(5) s-1 for isozyme C and 0.71 X 10(5) s-1 for isozyme B. Km, for hydration, is 10 mM for C and 5 mM for B, and invariant with temperature. The uncatalyzed reactions are significantly affected by temperature, 30- to 40-fold rate enhancements being observed from 0 degrees to 37 degrees C. The enzyme-catalyzed processes are much less sensitive to temperature, the rate enhancements being 2- to 3-fold for HCAB and 5- to 6-fold for HCAC in this temperature range. These observations are consistent with a significant lowering of the free energy of activation by both isozymes. This effect is greater for C accounting for its higher catalytic power. The enthalpy of activation, at pH 7.5 and 8.2, in the rate-limiting step is considerably less for the B enzyme compared to C. This is, however, more than offset by a large negative entropy of activation in the case of HCAB. This observation indicates either a mechanistic difference in the rate-limiting events or a difference in the structural organizations of the active sites of the two isozymes, or both.