Carbon dioxide hydration activity of carbonic anhydrase: kinetics of alkylated anhydrases B and C from humans (metalloenzymes-isoenzymes-active sites-mechanism)

Novel sulfonamide-phosphonate conjugates as carbonic anhydrase isozymes inhibitors

The three-components one-pot Kabachnik-Fields reaction of sulfapyridine, diethyl phosphite, and aldehyde under thermal catalysis reaction condition in the presence of bismuth (III) triflate as a catalyst afford the corresponding sulfonamide-phosphonates (3a-3p) in good to excellent yields (78%-91%). The structures of the new synthesized compounds were elucidated and confirmed by variable spectroscopic studies. Single crystal X-ray studies for 3a, 3d, and 3i verified the proposed structure. The newly developed sulfonamide-phosphonates were evaluated for their inhibitory properties against four isoforms of human carbonic anhydrase (hCA I, II, IX, and XII). The results demonstrated that they exhibited greater potency in inhibiting hCA XII compared to hCA I, II, and IX, with Ki ranging from 5.1 to 51.1 nM. Compounds 3l and 3p displayed the highest potency, exhibiting selectivity ratios of I/XII >298.7 and 8.5, and II/XII ratios of 678.1 and 142.1, respectively. Molecular docking studies were conducted to explore their binding patterns within the binding pocket of CA XII. The results revealed that the sulfonamide NH group coordinated with the Zn2+ ion, and hydrogen bond interactions were observed with residue Thr200. Additionally, hydrophobic interactions were identified between the benzenesulfonamide phenyl ring and Leu198. Compounds 3p and 3l exhibited an additional hydrogen bonding interaction with other amino acid residues. These supplementary interactions may contribute to the enhanced potency and selectivity of these compounds toward the CA XII isoform.

Arylidine extensions of 3-methyl-5-oxo-4,5-dihydro-1H-pyrazol-benzenesulfonamide derivatives: Synthesis, computational simulations and biological evaluation as tumor-associated carbonic anhydrase inhibitors

Several pyrazole-benzene sulfonamides were reported as human carbonic anhydrase inhibitors. In this research work, a design of Arylidine-extented 5-oxo-pyrazole benzenesulfonamides (4a-i), (8a-d) and (10a-e) were reported based on tail-approach design. Beside the reported synthetic procedures and confirmation by different analytical procedures, a DFT study was employed to confirm the Z- conformer of the synthesized compounds. In vitro biological assay against four different human carbonic anhydrases took place and based on the results, SAR study was illustrated and selectivity indexes were discussed. Compounds 4g and 8a exhibited the best inhibitory activity among the target compounds with values (hCAIX: K_I = 71.2 nM, hCAXII: K_I = 22.5 nM), (hCAIX: K_I = 34.3 nM, hCAXII: K_I = 74.3 nM); respectively. Both of them were subjected to cellular assay against two different cancer cell lines with expressing nature to hCA isoforms under both normoxic and hypoxic conditions. Compound 4g showed the highest cytotoxic activity against MCF-7 cancer cell line (IC₅₀ = 4.15 µM under hypoxic conditions and IC₅₀ = 8.59 µM under normoxic conditions) compared to the reference drug doxorubicin under normoxic, (IC₅₀ = 4.34 µM), and hypoxic, (IC₅₀ = 2.23 µM), conditions. Further cellular investigations were employed to study the effect of this compound on the cell cycle of the affected cell line. Finally, molecular docking supported by molecular dynamic simulation was utilized to understand the mechanism of the inhibitory activity of two of these compounds - as representative examples- based on the designed rational.

Click chemistry-based synthesis of new benzenesulfonamide derivatives bearing triazole ring as selective carbonic anhydrase II inhibitors

A series of 1,2,3-triazol-1-ylbenzenesulfonamide derivatives was designed, synthesized and their ability to inhibit several carbonic anhydrase isoforms was evaluated. The basis of our design is to hybridize the benzenesulfonamide moiety widely used as a zinc-binding group, a triazole ring as spacer with a tail of different substituted aryl moieties. The synthesis of these compounds was achieved using Cu(I)-mediated click chemistry between the azide containing the benzenesulfonamide pharmacophore and various aryl acetylenes or 1,6-heptadiyne through copper-catalyzed [3+2] cycloaddition reaction. The ability the new derivatives to inhibit four human carbonic anhydrase isoforms hCA I, II, IX, and XII was evaluated. All the compounds exhibited good potency and high selectivity towards isoforms hCA I and II more than isoforms hCA IX and XII, especially for the derivatives 3c and 3j that displayed Ki of 2.8 and 3.8 nM against hCA II and a high hCA II selectivity ratio ranging from 77.6 to 3571.4 over other isoforms. All the compounds were docked in the active site of the downloaded hCA II active site and their binding pattern confirmed their significant activity by interacting of the sulfonamide moiety with zinc ion in the active site, in addition to its hydrogen bond interaction with Thr199 and Thr200. All the above-mentioned findings pointed out towards the promising activity of the synthesized series that can be presented as a new scaffold to be further optimized as selective antiglaucoma drugs.

Biochemical, structural, and computational studies of a γ-carbonic anhydrase from the pathogenic bacterium Burkholderia pseudomallei

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Melioidosis is a severe disease caused Burkholderia pseudomallei.

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γ-carbonic anhydrases (γ-CAs) have been recently introduced as novel antibacterial drug targets.

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A new γ-CA from B. pseudomallei has been investigated by a multidisciplinary approach.

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Obtained results provide an important starting point for developing new anti-melioidosis drugs.

Melioidosis is a severe disease caused by the highly pathogenic gram-negative bacterium Burkholderia pseudomallei. Several studies have highlighted the broad resistance of this pathogen to many antibiotics and pointed out the pivotal importance of improving the pharmacological arsenal against it. Since γ-carbonic anhydrases (γ-CAs) have been recently introduced as potential and novel antibacterial drug targets, in this paper, we report a detailed characterization of BpsγCA, a γ-CA from B. pseudomallei by a multidisciplinary approach. In particular, the enzyme was recombinantly produced and biochemically characterized. Its catalytic activity at different pH values was measured, the crystal structure was determined and theoretical pKa calculations were carried out. Results provided a snapshot of the enzyme active site and dissected the role of residues involved in the catalytic mechanism and ligand recognition. These findings are an important starting point for developing new anti-melioidosis drugs targeting BpsγCA.

Synthesis of new 7-amino-3,4-dihydroquinolin-2(1H)-one-peptide derivatives and their carbonic anhydrase enzyme inhibition, antioxidant, and cytotoxic activities

Six new monopeptides, seven new dipeptides, and two deprotected monopeptide dihydroquinolinone conjugates were prepared by the benzothiazole-mediated method and their structures were confirmed by nuclear magnetic resonance, mass, infrared spectroscopy, and elemental analysis methods. The human carbonic anhydrase (hCA) I and hCA II enzyme inhibition activities of the compounds were determined using the stopped-flow instrument. The synthesized peptide-dihydroquinolinone conjugates 2, 3, 6, 10, 13, and 15 showed inhibition against the hCA II enzyme in the range of 15.7-65.7 µM. However, none of the compounds showed inhibition of hCA I at a concentration of 100 µM. The antioxidant activities of the compounds were also examined using the DPPH (2,2-diphenyl-1-picrylhydrazyl) radical scavenging method at concentrations of 12.5-125 µg/ml, but when compared with the standard antioxidant compounds α-tocopherol and butylated hydroxyanisole (BHA), weak antioxidant activities were detected. The cytotoxic effects of four compounds against the A549 and BEAS-2B cell lines were also investigated. Among the compounds studied, compound 7 was found to be most effective, with the IC₅₀ values on the A549 cells for 48 and 72 h being 26.87 and 9.979 µg/ml, respectively, and the IC₅₀ values on the BEAS-2B cells being >100 µg/ml. None of the tested compounds showed antimicrobial activity in the concentration range (800-1.56 µg/ml) studied.

Further validation of strecker-type α-aminonitriles as a new class of potent human carbonic anhydrase II inhibitors: hit expansion within the public domain using differential scanning fluorimetry leads to chemotype refinement

Testing of an expanded, 800-compound set of analogues of the earlier described Strecker-type α-aminonitriles (selected from publicly available Enamine Ltd. Screening Collection) in thermal shift assay against bovine carbonic anhydrase (bCA) led to further validation of this new class of inhibitors and identification a new, refined chemotype represented by inhibitors with 10-improved potency.

Target-based drug discovery through inversion of quantitative structure-drug-property relationships and molecular simulation: CA IX-sulphonamide complexes

In this work, a target-based drug screening method is proposed exploiting the synergy effect of ligand-based and structure-based computer-assisted drug design. The new method provides great flexibility in drug design and drug candidates with considerably lower risk in an efficient manner. As a model system, 45 sulphonamides (33 training, 12 testing ligands) in complex with carbonic anhydrase IX were used for development of quantitative structure-activity-lipophilicity (property)-relationships (QSPRs). For each ligand, nearly 5,000 molecular descriptors were calculated, while lipophilicity (logk_w) and inhibitory activity (logK_i) were used as drug properties. Genetic algorithm-partial least squares (GA-PLS) provided a QSPR model with high prediction capability employing only seven molecular descriptors. As a proof-of-concept, optimal drug structure was obtained by inverting the model with respect to reference drug properties. 3509 ligands were ranked accordingly. Top 10 ligands were further validated through molecular docking. Large-scale MD simulations were performed to test the stability of structures of selected ligands obtained through docking complemented with biophysical experiments.

Light harvesting in phototrophic bacteria: structure and function

This review serves as an introduction to the variety of light-harvesting (LH) structures present in phototrophic prokaryotes. It provides an overview of the LH complexes of purple bacteria, green sulfur bacteria (GSB), acidobacteria, filamentous anoxygenic phototrophs (FAP), and cyanobacteria. Bacteria have adapted their LH systems for efficient operation under a multitude of different habitats and light qualities, performing both oxygenic (oxygen-evolving) and anoxygenic (non-oxygen-evolving) photosynthesis. For each LH system, emphasis is placed on the overall architecture of the pigment–protein complex, as well as any relevant information on energy transfer rates and pathways. This review addresses also some of the more recent findings in the field, such as the structure of the CsmA chlorosome baseplate and the whole-cell kinetics of energy transfer in GSB, while also pointing out some areas in need of further investigation.

Coral Carbonic Anhydrases: Regulation by Ocean Acidification

Global change is a major threat to the oceans, as it implies temperature increase and acidification. Ocean acidification (OA) involving decreasing pH and changes in seawater carbonate chemistry challenges the capacity of corals to form their skeletons. Despite the large number of studies that have investigated how rates of calcification respond to ocean acidification scenarios, comparatively few studies tackle how ocean acidification impacts the physiological mechanisms that drive calcification itself. The aim of our paper was to determine how the carbonic anhydrases, which play a major role in calcification, are potentially regulated by ocean acidification. For this we measured the effect of pH on enzyme activity of two carbonic anhydrase isoforms that have been previously characterized in the scleractinian coral Stylophora pistillata. In addition we looked at gene expression of these enzymes in vivo. For both isoforms, our results show (1) a change in gene expression under OA (2) an effect of OA and temperature on carbonic anhydrase activity. We suggest that temperature increase could counterbalance the effect of OA on enzyme activity. Finally we point out that caution must, thus, be taken when interpreting transcriptomic data on carbonic anhydrases in ocean acidification and temperature stress experiments, as the effect of these stressors on the physiological function of CA will depend both on gene expression and enzyme activity.

Discovery of Strecker-type α-aminonitriles as a new class of human carbonic anhydrase inhibitors using differential scanning fluorimetry

A new type of carbonic anhydrase inhibitors was identified via differential scanning fluorimetry (DSF) screening. The compounds displayed interesting inhibition profile against human carbonic anhydrase isoforms I, II, IX and XII with an obvious selectivity displayed by one compound toward carbonic anhydrase (CA) IX, an established anti-cancer target. A hypothetical mechanism of inhibitory action by the Strecker-type α-aminonitriles has been proposed.

The chemistry, physiology and pathology of pH in cancer

Cell survival is conditional on the maintenance of a favourable acid-base balance (pH). Owing to intensive respiratory CO2 and lactic acid production, cancer cells are exposed continuously to large acid-base fluxes, which would disturb pH if uncorrected. The large cellular reservoir of H(+)-binding sites can buffer pH changes but, on its own, is inadequate to regulate intracellular pH. To stabilize intracellular pH at a favourable level, cells control trans-membrane traffic of H(+)-ions (or their chemical equivalents, e.g. ) using specialized transporter proteins sensitive to pH. In poorly perfused tumours, additional diffusion-reaction mechanisms, involving carbonic anhydrase (CA) enzymes, fine-tune control extracellular pH. The ability of H(+)-ions to change the ionization state of proteins underlies the exquisite pH sensitivity of cellular behaviour, including key processes in cancer formation and metastasis (proliferation, cell cycle, transformation, migration). Elevated metabolism, weakened cell-to-capillary diffusive coupling, and adaptations involving H(+)/H(+)-equivalent transporters and extracellular-facing CAs give cancer cells the means to manipulate micro-environmental acidity, a cancer hallmark. Through genetic instability, the cellular apparatus for regulating and sensing pH is able to adapt to extracellular acidity, driving disease progression. The therapeutic potential of disturbing this sequence by targeting H(+)/H(+)-equivalent transporters, buffering or CAs is being investigated, using monoclonal antibodies and small-molecule inhibitors.

Capturing intracellular pH dynamics by coupling its molecular mechanisms within a fully tractable mathematical model

We describe the construction of a fully tractable mathematical model for intracellular pH. This work is based on coupling the kinetic equations depicting the molecular mechanisms for pumps, transporters and chemical reactions, which determine this parameter in eukaryotic cells. Thus, our system also calculates the membrane potential and the cytosolic ionic composition. Such a model required the development of a novel algebraic method that couples differential equations for slow relaxation processes to steady-state equations for fast chemical reactions. Compared to classical heuristic approaches based on fitted curves and ad hoc constants, this yields significant improvements. This model is mathematically self-consistent and allows for the first time to establish analytical solutions for steady-state pH and a reduced differential equation for pH regulation. Because of its modular structure, it can integrate any additional mechanism that will directly or indirectly affect pH. In addition, it provides mathematical clarifications for widely observed biological phenomena such as overshooting in regulatory loops. Finally, instead of including a limited set of experimental results to fit our model, we show examples of numerical calculations that are extremely consistent with the wide body of intracellular pH experimental measurements gathered by different groups in many different cellular systems.

Reflections on Edsall's carbonic anhydrase: paradoxes of an ultra fast enzyme

John Edsall's investigations of human erythrocyte carbonic anhydrase, a zinc metalloenzyme that powerfully catalyzes the reversible hydration of carbon dioxide, highlighted a conundrum regarding the correct hydration product. The measured kinetic parameters could not be reconciled with the choice of carbonic acid, since its bimolecular recombination rate with enzyme would exceed the diffusion limit. The alternate choice of bicarbonate obviated the recombination rate problem but required that the active site deprotonation exceed the diffusion-limited maximum rate by an even greater extent. This paradox was resolved in favor of bicarbonate when the unsuspected role of buffer species indirectly deprotonating the enzyme was finally proposed, spurring numerous investigations to verify the hypothesis. Edsall's laboratory also reported the accidental discovery of the first competitive inhibitor, imidazole. This opened new avenues to understanding the binding of the CO(2) substrate and stimulated many investigations on this inhibitor. Paramagnetic NMR and crystallographic studies demonstrated that the only other known competitive inhibitor, phenol, apparently shared this unusual binding site. Despite enormous progress since Edsall's retirement, particularly the use of site-directed mutagenesis approaches, the precise interactions of carbon dioxide and bicarbonate with specific active site moieties remain as elusive today as when Edsall first considered these questions.

Molecular basis of ionic strength effects: interaction of enzyme and sulfate ion in CO2 hydration and HCO3- dehydration reactions catalyzed by carbonic anhydrase II

CO2 hydration and HCO3- dehydration reactions catalyzed by carbonic anhydrase II have been examined at various concentrations of sodium sulfate with a stopped-flow technique. We find that at low ionic strength CO2 hydration and HCO3- dehydration reaction rates remain unaffected by varying the salt concentration at pH higher than 7.0, while the reaction rates decrease with increasing ionic strength at low pH. For CO2 hydration reactions, salt effects reside only in the kcat term, not in the Km term, whereas for HCO3- dehydration reactions, salt effects reside only in the Km term, not in the kcat term. In this regime, the salt concentration dependence of the turnover rate for CO2 hydration at low pH is attributed to an electrostatic effect on the ionization constants of the enzyme and/or enzyme-substrate complex, which in turn affect the pH profile of kcat. The rates of the bimolecular interaction between the uncharged CO2 molecule and carbonic anhydrase II at high pH are unaffected by low salt concentration while the rates of the bimolecular interaction of HCO3- with enzyme at low pH decrease with increasing salt concentration, consistent with a negative salt effect on an electrostatically enhanced diffusion of the negatively charged substrate to the positively charged active site. These bimolecular reactions between enzyme and substrate at low ionic strength obey rate equations derived from the Debye-Hückel limiting law and the transition-state theory. Simple linear relationships between the logarithm of the catalytic constant, log kdenz, and the square root of the ionic strength were established.(ABSTRACT TRUNCATED AT 250 WORDS)

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.

Cadmium-113 NMR of carbonic anhydrases: effect of pH, bicarbonate, and cyanide

113Cd-Substituted human and bovine erythrocyte carbonic anhydrases have been studied by 113Cd NMR as a function of pH and bicarbonate concentration. Plots of chemical shift versus pH give sigmoidal titration curves in the pH range of the study, 6.9 to 10.5. The pKa values vary from 9.2 to 9.7, which correlates well with available activity profiles for the Cd-enzymes. Because the samples contain no buffers and no anions other than hydroxide, the results point to the existence of high and low pH forms of the enzymes in rapid exchange and differing in inner sphere coordination. When bicarbonate is added to the samples, upfield shifts are produced which eventually level off. Only a single CN- binds to the metal for all three enzymes. These observations are best explained by a rapid exchange among three species in which the open coordination site of the metal ion is occupied by hydroxide, water, or bicarbonate, as in the scheme: E--OH- in equilibrium or formed from E--H2O in equilibrium or formed from E--HCO-3.

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.

13-C nuclear magnetic resonance studies on the mechanism of action of carbonic anhydrase

Binding of the substrate, bicarbonate, to bovine cobalt carbonic anhydrase (carbonate hydrolyase, EC 4.2.1.1) has been studied with 13-C nuclear magnetic resonance. Two binding sites for bicarbonate have been identified. One loosely binds bicarbonate, inhibits p-nitrophenyl acetate activity, and must be the bicarbonate substrate binding site; the other tightly binds bicarbonate, is noninhibitory, and plays another role. Spinlattice relaxation times for the carbon atom of bicarbonate indicate that the substrate bicarbonate is bound directly to the metal center of the enzyme, while the other bicarbonate is bound in the outer coordination sphere of the metal. It is proposed that dehydration proceeds via HCO-3 minus coordinated directly to the metal center, while the outer sphere bicarbonate facilitates catalytically important proton transfers.

The catalytic mechanism of carbonic anhydrase

It is shown that an "inverse" relationship between the pH dependencies of the rates of hydration of CO(2) and dehydration of HCO(3) (-) by carbonic anhydrase (EC 4.2.1.1) is a direct consequence of the thermodynamic equilibrium between CO(2) and HCO(3) (-) and independent of any assumptions about the catalytic mechanism. It is further shown that proposed mechanisms for carbonic anhydrase involving HCO(3) (-) as the substrate in the dehydration reaction and a proton transfer reaction, EH(+) right harpoon over left harpoon E + H(+), as an obligatory step during catalysis obey the rule of microscopic reversibility. This includes mechanisms in which the proton dissociation is from a zinc-coordinated water molecule. Such mechanisms can be in accord with the observed rapid turnover rates of the enzyme, since rapid proton exchange can occur with the buffer components, EH(+) + B right harpoon over left harpoon E + BH(+). Mechanisms in which H(2)CO(3) is the substrate in dehydration avoid the proton-transfer step, but require that H(2)CO(3) combines with enzyme more rapidly than in a diffusion-controlled reaction. Physico-chemical evidence for and against a zinc-hydroxide mechanism is discussed.

Carbon dioxide hydration activity of carbonic anhydrase: paradoxical consequences of the unusually rapid catalysis

The kinetic parameters for carbon dioxide hydration catalysis by carbonic anhydrase (EC 4.2.1.1) present an apparent paradox. The assumption of H(2)CO(3) as the hydration product requires the rate of recombination of H(2)CO(3) with enzyme to be faster than the diffusion limit. The alternative assumption of HCO(3) (-) as the product of hydration likewise requires active-site ionization rates to exceed the diffusion limit. We previously postulated the presence of special means for rapid active-site ionization. It is shown here that when proton transfer between enzyme and buffer species is taken into account, there is no need to invoke rates exceeding the diffusion limit. Bicarbonate ion thus appears as the most probable hydration product and dehydration substrate.

H 2 CO 3 as substrate for carbonic anhydrase in the dehydration of HCO 3

Carbonic anhydrase, a metalloenzyme containing one zinc atom per protein molecule of molecular weight 30,000, catalyzes the interconversion of CO(2) and HCO(3) (-) in solution. The rate of catalysis, among the fastest known, is pH-dependent, with a pK(Enz) near neutral. Arguments are presented to show that: (i) only the high-pH form of the enzyme is active both for the hydration and dehydration reactions (ii) at high pH there is an H(2)O ligand on the metal (not an OH(-) as is often argued), and (iii) the substrate for the dehydration reaction is the neutral H(2)CO(3) molecule. The arguments are based on data in the literature on the nuclear relaxation rates of Cl(-) ions and water protons in solutions of carbonic anhydrase, on strict application of the principle of microscopic reversibility, and on kinetic considerations. It has been argued that H(2)CO(3) cannot be the substrate for the dehydration reaction because the observed CO(2) production rate is somewhat faster than the maximum rate at which H(2)CO(3) molecules can diffuse to the active site of the enzyme. However, current models that consider HCO(3) (-) as the substrate implicity require that protons diffuse to the enzyme at an even greater rate, well outside the limitations imposed by diffusion. We consider two mechanisms to obviate the diffusion limitation problem, and conjecture that at high substrate concentration, H(2)CO(3) reaches the active site by collision with the enzyme molecule, and subsequent surface diffusion to the active site. At lower substrate concentrations, corresponding to [HCO(3) (-)] <1 mM, generation of H(2)CO(3) molecules near the enzyme by the recombination reaction H(+) + HCO(3) (-) --> H(2)CO(3) can supply an adequate flux of substrate to the active site.