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The use of stable isotopes in drug metabolism studies.

Although there is a long history of stable isotopes use in drug metabolism research, it is appropriate to evaluate them in pregnancy drug studies in which safety takes highest priority. It is well established through a number of human and animal experiments that stable isotopes themselves rarely generate additional toxicities beyond the molecules to which they are attached. For the analysis of stable isotopes involved in metabolism studies, mass spectrometry plays the predominant role. Several mass spectrometry-based techniques now exist that enable the selective quantitative detection of stable isotopes with better sensitivity and better retention of chromatographic resolution than do in-line radioactivity monitors for 14C. Even mass balance studies can be performed by using stable isotopes, a type of experiment that still predominantly uses radioisotopes. Some of the newest developments in the use of stable isotopes involve biopolymers, in which fully isotope-labeled species can be generated from cells grown in isotopically labeled growth media. Having shown safety, sensitivity, specificity, and versatility, stable isotopes should play an important role in drug metabolism studies in pregnancy.

Animals↗

Nitrogen-15 fractionation in the thermal decomposition of nitrous oxide of natural isotopic composition.

The 15N fractionation in the thermal decomposition of nitrous oxide (N2O) of natural isotopic composition has been investigated in quartz reaction vessel in the temperature interval 888-1073 K. The formulas relating the observed experimentally 15N fractionations with the primary 15N kinetic isotope effect, (k14/k15)p for 14N15N16O, and secondary 15N kinetic isotope effect, (k14/k15)s for 15N14N16O, have been derived. The experimentally estimated 15N kinetic isotope effects have been compared with the primary and secondary 15N kinetic isotope effects calculated with the absolute rate theory formulations applied to linear three atom molecules. A good agreement was found for the primary 15N kinetic isotope effect, (k14/k15)p, in the temperature interval 888-1007 K. But at 1073 K the decompositions of N2O, accompanied by NO (nitric oxide) formation proceed with a twice times smaller primary kinetic isotope effect, (k14/k15)p of 1.0251 +/- 0.0009, only, suggesting the nonlinear transition state structures with participation of the fourth external atom at high temperature decompositions of nitrous oxide. The nitrogen isotope effects determined in this study correlate well with nitrogen isotope fractionations observed in the natural biological, earth and atmospheric processes.

Atmosphere↗

Mechanism from isotope effects.

Isotope effects represent perhaps one of the most versatile tools available to investigators interested in the determination of reaction mechanism, particularly in the case of the mechanistic enzymologist. Interpretation of isotope effect data is somewhat more difficult for enzyme reactions, since the chemical or isotope-dependent step(s) is(are) normally not solely rate-limiting as they are for non-enzyme-catalyzed reactions. One can, however, take advantage of rate-limitation by multiple steps in an enzyme-catalyzed reaction to obtain information on a number of aspects of mechanism. In this paper, simple theory for the application of isotope effects to reaction mechanism is developed, and applied to organic reactions and those catalyzed by enzymes. Techniques used to measure isotope effects depend somewhat on the isotope used, that is radioisotope vs. stable isotope, or hydrogen isotope vs. heavier atoms. Techniques to be discussed include competitive and noncompetitive (or internal discrimination) measurements. In enzyme-catalyzed reactions, information can be obtained on the order of addition of reactants and relase of products, and this will be illustrated using the 6-phosphogluconate and alcohol dehydrogenase reactions. The use of multiple isotope effects can be used to distinguish between stepwise and concerted reactions, and this will be illustrated with the formate and glucose 6-phosphate dehydrogenase and malic enzyme reactions.

Alcohol Dehydrogenase↗

Zinc absorption estimated by fecal monitoring of zinc stable isotopes validated by comparison with whole-body retention of zinc radioisotopes in humans.

Knowledge about zinc availability from human diets is limited due to methodological difficulties. Recently developed stable isotope techniques for estimating dietary zinc absorption were compared with radioisotope techniques in five men and three women. Stable and radioactive zinc isotopes were simultaneously administered. Fecal excretion of the isotopes as well as whole-body retention of the radioactive zinc isotope was monitored. Concentration of stable zinc isotope label in fecal samples was determined by inductively coupled plasma mass spectrometry by fully quantitative measurements and from inductively coupled plasma mass spectrometry isotope ratios combined with analysis of total zinc content using atomic absorption spectrometry. Zinc absorption estimated from whole-body retention was 27 +/- 6% (mean +/- SD), estimated zinc absorption obtained by fecal monitoring of radioisotope was 26 +/- 9%, and the two stable zinc measurements resulted in values of 29 +/- 12 and 33 +/- 12%, respectively. There was no significant difference in zinc absorption estimated from whole-body retention and with the fecal monitoring methods. Recovered stable zinc isotope label was significantly lower than recovered radioisotope. For individual fecal samples, systematic differences of 16% and 12%, respectively (P < 0.05), between the radioisotope recovery and the recovery of stable isotopes with the two methods for measurement was observed. The stable zinc isotope technique for measurement of zinc absorption resulted in mean results similar to those of the radioisotope technique, but with a larger variation in the measurements.

Adult↗

Steady-state nitrogen isotope effects of N2 and N2O production in Paracoccus denitrificans.

Nitrogen stable-isotope compositions (delta15N) can help track denitrification and N2O production in the environment, as can knowledge of the isotopic discrimination, or isotope effect, inherent to denitrification. However, the isotope effects associated with denitrification as a function of dissolved-oxygen concentration and their influence on the isotopic composition of N2O are not known. We developed a simple steady-state reactor to allow the measurement of denitrification isotope effects in Paracoccus denitrificans. With [dO2] between 0 and 1.2 microM, the N stable-isotope effects of NO3- and N2O reduction were constant at 28.6 per thousand +/- 1.9 per thousand and 12.9 per thousand +/- 2.6 per thousand, respectively (mean +/- standard error, n = 5). This estimate of the isotope effect of N2O reduction is the first in an axenic denitrifying culture and places the delta15N of denitrification-produced N2O midway between those of the nitrogenous oxide substrates and the product N2 in steady-state systems. Application of both isotope effects to N2O cycling studies is discussed.

Bacteriological Techniques↗

Lead isotopes as a supplementary tool in the routine evaluation of household lead hazards.

The advent of magnetic sector inductively coupled plasma-mass spectrometry (ICP-MS) allows rapid, accurate, and precise measurement of lead isotopes in environmental and biological samples at a lower cost than traditional methods. This may increase the feasibility of including lead isotope measurements as a routine tool to identify household sources of lead exposure to children. Here, we present three household case studies to illustrate how lead hazard evaluations by an environmental specialist could be supplemented with routine lead isotope analyses of potential lead sources and blood. Sampling for lead isotopes was undertaken following the U.S. Department of Housing and Urban Development regulatory guidelines for the evaluation of lead hazards in housing, and with the consideration of minimizing the additional costs associated with lead isotope measurements. The range of isotopic ratios within a single residence was large enough to allow the characterization of different lead sources, particularly when both major (e.g., (207)Pb/(206)Pb) and minor (e.g., (206)Pb/(204)Pb) isotope ratios were considered. These cases illustrate the utility of the lead isotope method to identify main source(s) of lead exposure to the child; discard unlikely sources of exposure to the child; point to sources of lead to dust; and substantiate or refine the environmental assessment based exclusively on lead concentrations and loadings. Thus, a more effective evaluation of household lead hazards would likely benefit from considering a) lead concentrations and loadings in and around the household environment; b) all isotopic ratios of potential lead sources within that environment; and c) information about behavioral habits, as well as an evaluation of viable pathways of exposure to the child.

Blood Chemical Analysis↗

Rapid sample throughput for biomedical stable isotope tracer studies.

Typical 13C or 15N tracer studies generate large numbers of samples. Instrumentation capable of rapid automated analysis is therefore of importance as a practical alternative to conventional isotope methodology. Although biomedical sample nature is diverse, experimenters often require analysis of substrates and products of particular biochemical pathways. Clearly, reaction products can contain considerably less isotope tracer than precursors. Analytical techniques thus need to accommodate samples of widely varying nature, size and isotope enrichment. In the clinical field, where stable isotopes are increasingly used to study protein, carbohydrate and fat metabolism, analysis of the isotope ratio of a substrate infused into the plasma and a product of its metabolism is often required. Conventional analytical approaches demand access to two mass spectrometers: isotope ratio mass spectrometry (IRMS) for isotope analysis of the relatively large concentrations of low-enrichment metabolic product, and gas chromatography/mass spectrometry (GC/MS) for analysis of the infused substrate often present at high enrichment but low concentration offers a practical alternative to the conventional approaches that is rapid and automatic. In addition to providing a considerably less complex and costly alternative to conventional instrumentation, a single CF-IRMS instrument can also analyse small quantities of low-enrichment metabolites with superior performance than either of the alternative approaches. CF-IRMS is illustrated using results from constant-infusion studies in human protein and fat metabolism which require measurement of the isotope enrichment in submicromolar quantities of plasma substrates together with analysis of larger quantities of their oxidation products, urinary nitrogen and breath CO2.

Ammonia↗

Effect of season and variety on the differentiation of geographic growing origin of pistachios by stable isotope profiling.

The objectives of this study were to demonstrate if seasonal or variety differences affected the feasibility of stable isotope profiling methods to differentiate the geographical growing regions of pistachios (Pistachia vera). Bulk carbon and nitrogen isotope analyses of approximately 150 pistachios samples were performed. Isotope ratios were determined using a stable isotope mass spectrometer. The pistachio samples analyzed were from the three major pistachio-growing regions: Turkey, Iran, and the United States (California). Geographic regions were well separated on the basis of isotope ratios. Seasonal effects were found to affect some isotopes for some regions. Pistachio varieties within specified geographic regions were not found to affect the discriminating power of stable isotopes, for the varieties tested. This paper reports the development of a simple chemical profiling method using bulk stable isotope ratios that may be widely applied to the determination of the geographic origin of foods.

Carbon Isotopes↗

Effects of must concentration techniques on wine isotopic parameters.

Despite the robustness of isotopic methods applied in the field of wine control, isotopic values can be slightly influenced by enological practices. For this reason, must concentration technique effects on wine isotopic parameters were studied. The two studied concentration techniques were reverse osmosis (RO) and high-vacuum evaporation (HVE). Samples (must and extracted water) have been collected in various French vineyards. Musts were microfermented at the laboratory, and isotope parameters were determined on the obtained wine. Deuterium and carbon-13 isotope ratios were studied on distilled ethanol by nuclear magnetic resonance (NMR) and isotope ratio mass spectrometry (IRMS), respectively. The oxygen-18 ratio was determined on extracted and wine water using IRMS apparatus. The study showed that the RO technique has a very low effect on isotopic parameters, indicating that this concentration technique does not create any isotopic fractionation, neither at sugar level nor at water level. The effect is notable for must submitted to HVE concentration: water evaporation leads to a modification of the oxygen-18 ratio of the must and, as a consequence, ethanol deuterium concentration is also modified.

Carbon Isotopes↗

Isotopic discrimination between food and blood and feathers of captive penguins: implications for dietary studies in the wild.

Using measurements of naturally occurring stable isotopes to reconstruct diets or source of feeding requires quantifying isotopic discrimination factors or the relationships between isotope ratios in food and in consumer tissues. Diet-tissue discrimination factors of carbon ((13)C/(12)C, or delta (13)C) and nitrogen ((15)N/(14)N, or delta (15)N) isotopes in whole blood and feathers, representing noninvasive sampling techniques, were examined using three species of captive penguins (king Aptenodytes patagonicus, gentoo Pygoscelis papua, and rockhopper Eudyptes chrysocome penguins) fed known diets. King and rockhopper penguins raised on a constant diet of herring and capelin, respectively, had tissues enriched in (15)N compared to fish, with discrimination factors being higher in feathers than in blood. These data, together with previous works, allowed us to calculate average discrimination factors for (15)N between whole lipid-free prey and blood and feathers of piscivorous birds; they amount to +2.7 per thousand and +4.2 per thousand, respectively. Both fish species were segregated by their delta (13)C and delta (15)N values, and importantly, lipid-free fish muscle tissue was consistently depleted in (13)C and enriched in (15)N compared to whole lipid-free fish. This finding has important implications because previous studies usually base dietary reconstructions on muscle of prey rather than on whole prey items consumed by the predator. We tested the effect of these differences using mass balance calculations to the quantification of food sources of gentoo penguins that had a mixed diet. Modeling indicated correct estimates when using the isotopic signature of whole fish (muscle) and the discrimination factors between whole fish (muscle) and penguin blood. Conversely, the use of isotopic signatures of muscle together with discrimination factors between whole fish and blood (or the reverse) leads to spurious estimates in food proportions. Consequently, great care must be taken in the choice of isotopic discrimination factors to apply to wild species for which no controlled experiments on captive individuals have been done. Finally, our results also indicate that there is no need to remove lipids before isotopic analysis of avian blood.

Animals↗

Determination of kinetic isotope effects for nucleoside hydrolases using gas chromatography/mass spectrometry.

Kinetic isotope effects are widely used to determine the transition state of chemical and enzymatic reactions. Radioactive isotopes are used most often to determine these kinetic isotope effects. However, stable isotopes offer a number of advantages over the use of radioactive isotopes. These advantages include ease of handling and disposal along with increased safety in the laboratory. [1'-(13)C]Inosine and [1'-(2)H]inosine kinetic isotope effects were determined using a gas chromatograph in conjunction with a mass selective detector for nucleoside hydrolase, a purine-metabolizing enzyme. Three ion pairs were used to determine kinetic isotope effects. These ion pairs were 158/159, 187/188, and 217/218. The average isotope effects for all ion pairs were 1.021 +/- 0.006 for [1'-(13)C]inosine and 1.113 +/- 0.008 for [1'-(2)H]inosine. The transition state consistent with these isotope effects is also consistent with the transition state proposed by Schramm and Horenstein using radioactive substrates.

Animals↗

Dual-isotope separation technique for radioassay of cobalamin.

Cobalamin is assayed by a dual-isotope separation method using sodium [125I]iothalamate as a marker. Two systems are used: one in which the incompletely-separated bound fraction is counted and compared with the single-isotope method in which the bound fraction is separated by washing (Phadebas radiosorbent assay); and one in which an aliquot of the free fraction is counted. In the dual-isotope method counting bound fractions, about 97% of the supernatant is removed by pouring from silicone fluid separators. The results for serum samples obtained using dual- and single-isotope methods were similar (between run coefficients of variation 5--7%). Experimental errors were smaller in the dual-isotope method. A factor in the kit standards, presumably the absence of proteins, was found to affect the separation technique, resulting in relatively large experimental errors for standards in the single-isotope method. Washing the solid phase in the single-isotope method apparently resulted in a loss of bound isotope. In the dual-isotope method counting free fractions reasonable precision was obtained (coefficient of variation of serum samples 6.6%) even though only about 56% of the supernatant (free fraction) was counted.

Humans↗

Isotope effects and their implications for the covalent binding of inhaled [3H]- and [14C]formaldehyde in the rat nasal mucosa.

DNA-protein crosslinks were formed in the nasal respiratory mucosa of Fischer-344 rats exposed for 3 hr to selected concentrations of [3H]- and [14C]formaldehyde (3HCHO and H14CHO) (M. Casanova and H. d'A. Heck (1987). Toxicol. Appl. Pharmacol. 89, 105-121). In rats depleted of glutathione (GSH) and exposed to 10 ppm of 3HCHO and H14CHO, the 3H/14C ratio of the fraction of the DNA that was crosslinked to proteins was significantly (39 +/- 6%) higher than that of the inhaled gas. This suggests an isotope effect, either on the formation of DNA-protein crosslinks by labeled HCHO or on the oxidation of labeled HCHO catalyzed by formaldehyde (FDH) or aldehyde dehydrogenase (AldDH). The possibility of an isotope effect on the formation of crosslinks was investigated using rat hepatic nuclei incubated with [3H]- and [14C]formaldehyde (0.1 mM, 37 degrees C). A small (3.4 +/- 0.9%) isotope effect was detected on this reaction, which slightly favored 3HCHO over H14CHO in binding to DNA. The magnitude of this isotope effect cannot account for the high isotope ratio observed in the crosslinked DNA in vivo. The possibility of an isotope effect on the oxidation of 3HCHO and H14CHO catalyzed by FDH was investigated using homogenates of the rat nasal mucosa incubated with [3H]- and [14C]formaldehyde at total formaldehyde concentrations ranging from 0.1 to 11 microM, NAD+ (1 mM), GSH (15 mM), and pyrazole (1 mM). The experiments showed that 3HCHO is oxidized significantly more slowly than H14CHO under these conditions (Vmax/Km (H14CHO) divided by Vmax/Km (3HCHO) = 1.82 +/- 0.11). A similar isotope effect was observed in the absence of GSH, presumably due to the oxidation of 3HCHO and H14CHO catalyzed by AldDH. These results suggest that the residual (unoxidized) formaldehyde present in the nasal mucosa of rats exposed to [3H]- and [14C]formaldehyde may be "enriched" in 3HCHO relative to H14CHO, which can bind to DNA resulting in an isotope ratio higher than that of the inhaled gas. The isotope effect on the oxidation of 3HCHO and H14CHO suggests that previous estimates of the amount of HCHO covalently bound to nasal mucosal DNA (M. Casanova-Schmitz, T. B. Starr, and H. d'A. Heck (1984). Toxicol. Appl. Pharmacol. 76, 26-44) may have been too large, especially at low airborne concentrations and that the shape of the concentration-response curve for DNA-protein crosslinking is more nonlinear than reported previously.

Administration, Inhalation↗

Hydrochemical and isotopic effects associated with petroleum fuel biodegradation pathways in a chalk aquifer.

Hydrochemical data, compound specific carbon isotope analysis and isotopic enrichment trends in dissolved hydrocarbons and residual electron acceptors have been used to deduce BTEX and MTBE degradation pathways in a fractured chalk aquifer. BTEX compounds are mineralised sequentially within specific redox environments, with changes in electron acceptor utilisation being defined by the exhaustion of specific BTEX components. A zone of oxygen and nitrate exhaustion extends approximately 100 m downstream from the plume source, with residual sulphate, toluene, ethylbenzene and xylene. Within this zone complete removal of the TEX components occurs by bacterial sulphate reduction, with sulphur and oxygen isotopic enrichment of residual sulphate (epsilon(s) = -14.4 per thousand to -16.0 per thousand). Towards the plume margins and at greater distance along the plume flow path nitrate concentrations increase with delta15N values of up to +40 per thousand indicating extensive denitrification. Benzene and MTBE persist into the denitrification zone, with carbon isotope enrichment of benzene indicating biodegradation along the flow path. A Rayleigh kinetic isotope enrichment model for 13C-enrichment of residual benzene gives an apparent epsilon value of -0.66 per thousand. MTBE shows no significant isotopic enrichment (delta13C = -29.3 per thousand to -30.7 per thousand) and is isotopically similar to a refinery sample (delta13C = -30.1 per thousand). No significant isotopic variation in dissolved MTBE implies that either the magnitude of any biodegradation-induced isotopic fractionation is small, or that relatively little degradation has taken place in the presence of BTEX hydrocarbons. It is possible, however, that MTBE degradation occurs under aerobic conditions in the absence of BTEX since no groundwater samples were taken with co-existing MTBE and oxygen. Low benzene delta13C values are correlated with high sulphate delta34S, indicating that little benzene degradation has occurred in the sulphate reduction zone. Benzene degradation may be associated with denitrification since increased benzene delta13C is associated with increased delta15N in residual nitrate. Re-supply of electron acceptors by diffusion from the matrix into fractures and dispersive mixing is an important constraint on degradation rates and natural attenuation capacity in this dual-porosity aquifer.

Biodegradation, Environmental↗

Carbon isotope effects resulting from equilibrium sorption of dissolved VOCs.

To accurately interpret isotopic data obtained for volatile organic compounds (VOCs) dissolved in groundwater systems, the isotopic effects of subsurface processes must be understood. Previous work has demonstrated that volatilization and dissolution of BTEX and chlorinated ethene compounds are not significantly isotopically fractionating. This study characterized the carbon isotopic effects of equilibrium sorption of perchloroethylene, trichloroethylene, benzene, and toluene to both graphite and activated carbon directly in batch experiments over a range of 10-90% sorption. Results demonstrate that, over this range, equilibrium sorption of these VOCs to graphite and activated carbon does not result in significant carbon isotopic fractionation within the +/-0.5% accuracy and reproducibility associated with compound-specific isotope analysis. This implies that the isotopic values of dissolved VOCs will not be significantly affected by equilibrium sorption in the subsurface. Therefore, isotopic analysis has potential to be used in the field to differentiate between mass losses due to isotopically fractionating processes such as biodegradation versus mass loss due to nondegradative processes.

Journal Article↗

Absolute isotopic composition and atomic weight of commercial zinc using inductively coupled plasma mass spectrometry.

Inductively coupled plasma mass spectrometry is introduced as a method for determining the absolute isotopic composition of zinc. The high ionization efficiency and time-independent characteristics of the mass spectrometry permit the absolute isotopic composition of high ionization potential elements. The mass discrimination of the instrument is calibrated by synthetic isotope mixtures prepared from highly enriched isotopes of zinc. The resulting isotope ratios yield atomic percents of 64Zn, 49.188 +/- 0.030; 66Zn, 27.792 +/- 0.041; 67Zn, 4.041 +/- 0.009; 68Zn, 18.378 +/- 0.050; and 70Zn, 0.600 +/- 0.003. This isotopic composition is different from those of conventional mass spectrometric measurements. Their differences depend on the mass differences about 0.8-1.2%/amu with enhancement of heavier isotopes. The atomic weight calculated from our isotopic composition is 65.3756 +/- 0.0040. The obtained atomic weight is fully consistent with that of a precise coulometric measurement in contrast to the previous mass spectrometric measurements. An isotopic variation of commercial zinc reagents has been investigated. A mass-dependent fractionation of 0.12%/amu is observed in a high-purity metal zinc, NIST-SRM 682, among five reagents. This mass dependence is probably inherited through their purification process.

Journal Article↗

Pig heart lipoamide dehydrogenase: solvent equilibrium and kinetic isotope effects.

Lipoamide dehydrogenase is a flavoprotein which catalyzes the reversible oxidation of dihydrolipoamide, Lip(SH)2, by NAD+. The ping-pong kinetic mechanism involves stable oxidized and two-electron-reduced forms. We have investigated the rate-limiting nature of proton transfer steps in both the forward and reverse reactions catalyzed by the pig heart enzyme by using a combination of alternate substrates and solvent kinetic isotope effect studies. With NAD+ as the variable substrate, and at a fixed, saturating concentration of either Lip(SH)2 or DTT, inverse solvent kinetic isotope effects of 0.68 +/- 0.05 and 0.71 +/- 0.05, respectively, were observed on V/K. Solvent kinetic isotope effects on V of 0.91 +/- 0.07 and 0.69 +/- 0.02 were determined when Lip(SH)2 or DTT, respectively, was used as reductant. When Lip(SH)2 or DTT was used as the variable substrate, at a fixed concentration of NAD+, solvent kinetic isotope effects of 0.74 +/- 0.06 and 0.51 +/- 0.04, respectively, were observed on V/K for these substrates. Plots of the kinetic parameters versus mole fraction D2O (proton inventories) were linear in all cases. Solvent kinetic isotope effect measurements performed in the reverse direction using NADH as the variable substrate showed equivalent, normal solvent kinetic isotope effects on V/KNADH when oxidized lipoamide, lipoic acid, or DTT were present at fixed, saturating concentrations. Solvent kinetic isotope effects on V were equal to 1.5-2.1. When solvent kinetic isotope effect measurements were performed using the disulfide substrates lipoamide, lipoic acid, or DTT as the variable substrates, normal kinetic isotope effects on V/K of 1.3-1.7 were observed.(ABSTRACT TRUNCATED AT 250 WORDS)

Animals↗

Minimal kinetic mechanism and general equation for deuterium isotope effects on enzymic reactions: uncertainty in detecting a rate-limiting step.

A general equation is proposed for representing the kinetic functions which govern the expression of an isotope effect on the maximal velocity of an enzyme-catalyzed reaction. The origin and form of the functions are illustrated by examining a series of enzymatic mechanisms of progressively increasing complexity. The number of functions similarly increase, reaching a limit of three, with differing thermodynamic and kinetic properties. Further expansion of mechanisms causes an orderly and predictable algebraic expansion of each function, making it possible to write out, by simple inspection, the kinetic equation describing an isotope effect expressed on the maximal velocity for any enzymatic mechanism in which the isotope perturbs a single reactive step. The functions are interactive and allow for the possibility that an isotope effect on Vmax may be independent of the rate of a second, isotopically insensitive step, be it infinitely fast or slow. This allowance leads to an uncertainty of the ability of an isotope effect to detect a rate-limiting step, and the unequal distribution of kinetic and thermodynamic properties among three functions leads to an inadequacy of the singular concept of a rate-limiting step to serve as a basis for interpreting isotope effects on enzyme-catalyzed reactions. A minimal mechanism for consideration of isotope effects is proposed in order to embrace all three functions. It consists of a single catalytic step which is isotopically sensitive and reversible, two reversible precatalytic steps, and one reversible postcatalytic step, plus steps for binding and release of substrates and products.

Deuterium↗