New Insights into the Mechanistic Details of the Carbonic Anhydrase Cycle as Derived from the Model System [(NH3)3Zn(OH)]+/CO2: How does the H2O/HCO3− Replacement Step Occur?

The full reaction path for the conversion of carbon dioxide to hydrogencarbonate has been computed at the B3LYP/6‐311+G** level, employing a [(NH3)3Zn(OH)]+ model catalyst to mimic the active center of the enzyme. We paid special attention to the question of how the catalytic cycle might be closed by retrieval of the catalyst. The nucleophilic attack of the catalyst on CO2 has a barrier of 5.7 kcal mol−1 with inclusion of thermodynamic corrections and solvent effects and is probably the rate‐determining step. This barrier corresponds well with prior experiments. The intermediate result is a Lindskog‐type structure that prefers to stabilize itself via a rotation‐like transition state to give a Lipscomb‐type product, which is a monodentate hydrogencarbonate complex. By addition of a water molecule, a pentacoordinated adduct with pseudo‐trigonal‐bipyramidal geometry is formed. The water molecule occupies an equatorial position, whereas the hydrogencarbonate ion is axial. In this complex, proton transfer from the Zn‐bound water molecule to the hydrogencarbonate ion is extremely facile (barrier 0.8 kcal mol−1), and yields the trans,trans‐conformer of carbonic acid rather than hydrogencarbonate as the leaving group. The carbonic acid molecule is bound by a short O⋅⋅⋅H−O hydrogen bond to the catalyst [(NH3)3Zn(OH)]+, in which the OH group is already replaced by that of an entering water molecule. After deprotonation of the carbonic acid through a proton relay to histidine 64, modeled here by ammonia, hydrogencarbonate might undergo an ion pair return to the catalyst prior to its final dissociation from the complex into the surrounding medium.

[1]  Parr,et al.  Development of the Colle-Salvetti correlation-energy formula into a functional of the electron density. , 1988, Physical review. B, Condensed matter.

[2]  D. Silverman,et al.  Observation of the visible absorption spectrum of cobalt(II)-carbonic anhydrase III during catalytic hydration of carbon dioxide. , 1986, Journal of the American Chemical Society.

[3]  L. Lebioda,et al.  Crystal Structure of Holoenzyme Refined at 1.9 Angstroms Resolution: Trigonal-Bipyramidal Geometry of the Cation Binding Site , 1989 .

[4]  D. Silverman,et al.  The catalytic mechanism of carbonic anhydrase: implications of a rate-limiting protolysis of water , 1988 .

[5]  T. Koike,et al.  Macrocyclic Polyamines as a Probe for Equilibrium Study of the Acid Functions of Zinc(II) Ion in Hydrolysis Enzymes , 1991 .

[6]  William N. Lipscomb,et al.  Theoretical study of the uncatalyzed hydration of carbon dioxide in the gas phase , 1986 .

[7]  K. Wiberg,et al.  Solvent Effects. 5. Influence of Cavity Shape, Truncation of Electrostatics, and Electron Correlation on ab Initio Reaction Field Calculations , 1996 .

[8]  M. Bräuer,et al.  The TpZn–OH/CS2 reaction: theoretical and preparative visualization of an essential bioinorganic reaction path , 2000 .

[9]  Klaus R. Liedl,et al.  Zur überraschenden kinetischen Stabilität von Kohlensäure (H2CO3) , 2000 .

[10]  W. Lipscomb,et al.  Theoretical study of carbonic anhydrase‐catalyzed hydration of co2: A brief review , 1989 .

[11]  Miquel Solà,et al.  Ab initio study of the hydration of carbon dioxide by carbonic anhydrase. A comparison between the Lipscomb and Lindskog mechanisms , 1992 .

[12]  J. Coleman Mechanism of action of carbonic anhydrase. Subtrate, sulfonamide, and anion binding. , 1967, The Journal of biological chemistry.

[13]  T A Jones,et al.  Refined structure of human carbonic anhydrase II at 2.0 Å resolution , 1988, Proteins.

[14]  K. P. Lawley,et al.  Ab initio methods in quantum chemistry , 1987 .

[15]  J. Bertrán,et al.  Anion binding and pentacoordination in zinc(II) complexes , 1991 .

[16]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[17]  M. R. Udupa,et al.  Crystal and molecular structure of bis(N-benzoylglycinato)triaquozinc(II) dihydrate , 1982 .

[18]  Y. Pocker,et al.  Observation of a novel effect on the anionic inhibition of carbonic anhydrase: implications for enzymic catalysis , 1981 .

[19]  W. Lipscomb,et al.  Structure and catalysis of enzymes. , 1983, Annual review of biochemistry.

[20]  Kenneth M. Merz,et al.  Mode of action of carbonic anhydrase , 1989 .

[21]  A. Pullman,et al.  Model studies on the active site of carbonic anhydrase: Ligand properties and CO2 binding , 1979 .

[22]  W. Lipscomb,et al.  Hydration of carbon dioxide by carbonic anhydrase: internal proton transfer of Zn2+-bound HCO3-. , 1987, Biochemistry.

[23]  I. Bertini,et al.  Cobalt(II) as a probe of the structure and function of carbonic anhydrase , 1983 .

[24]  T. Koike,et al.  Kinetics and mechanism of the hydration of carbon dioxide and dehydration of bicarbonate catalyzed by a zinc (II) complex of 1,5,9-triazacyclododecane as a model for carbonic anhydrase , 1993 .

[25]  D. R. Garmer,et al.  Active site ionicity and the mechanism of carbonic anhydrase , 1991 .

[26]  Tasuku Ito,et al.  Facile carbon dioxide uptake by zinc(II)-tetraazacycloalkane complexes. 2. X-ray structural studies of (.mu.-monomethyl carbonato)(1,4,8,11-tetraazacyclotetradecane)zinc(II) perchlorate, bis(.mu.-monomethyl carbonato)tris[(1,4,8,12-tetraazacyclopentadecane)zinc(II)] perchlorate, and (monomethyl carb , 1985 .

[27]  Kenneth M. Merz,et al.  Mechanism of the human carbonic anhydrase II-catalyzed hydration of carbon dioxide , 1992 .

[28]  Frank Weinhold,et al.  Natural bond orbital analysis of near‐Hartree–Fock water dimer , 1983 .

[29]  K. McNeill,et al.  Tris(pyrazolyl)hydroboratozinc hydroxide complexes as functional models for carbonic anhydrase: on the nature of the bicarbonate intermediate , 1993 .

[30]  A. Becke Density-functional thermochemistry. III. The role of exact exchange , 1993 .

[31]  Chizuru Muguruma Ab initio MO study on the catalytic mechanism in the active site of carbonic anhydrase , 1999 .

[32]  T. Koike,et al.  A zinc(II) complex of 1,5,9-triazacyclododecane ([12]aneN3) as a model for carbonic anhydrase , 1990 .

[33]  P. Woolley Models for metal ion function in carbonic anhydrase , 1975, Nature.

[34]  Marzio Rosi,et al.  pKa of zinc-bound water and nucleophilicity of hydroxo-containing species. Ab initio calculations on models for zinc enzymes , 1990 .

[35]  Kenneth M. Merz,et al.  Solvent Dynamics and Mechanism of Proton Transfer in Human Carbonic Anhydrase II , 1999 .

[36]  Robert P. Davis The Kinetics of the Reaction of Human Erythrocyte Carbonic Anhydrase. II. The Effect of Sulfanilamide, Sodium Sulfide and Various Chelating Agents , 1959 .

[37]  E. Magid,et al.  The rates of the spontaneous hydration of CO2 and the reciprocal reaction in neutral aqueous solutions between 0° and 38° , 1968 .

[38]  K. Merz,et al.  The Important Role of Active Site Water in the Catalytic Mechanism of Human Carbonic Anhydrase II – A Semiempirical MO Approach to the Hydration of CO2† , 1998 .

[39]  A. Liljas,et al.  Crystallographic analysis of Thr‐200 → His human carbonic anhydrase II and its complex with the substrate, HCO  3− , 1993, Proteins.

[40]  R. Eldik,et al.  A Functional-Model for Carbonic-Anhydrase - Thermodynamic and Kinetic-Study of a Tetraazacyclododecane Complex of Zinc(II) , 1995 .

[41]  A. Wakahara,et al.  The Crystal and Molecular Structure of Zinc Complex of 2-Chlorobenzoic Acid. II. The Crystal and Molecular Structure of μ3-Hydroxo-tri-μ-(2-chlorobenzoato)dizinc(II) Dihydrate , 1976 .