The kinetic mechanism of 5-enolpyruvylshikimate-3-phosphate synthase from a gram-positive pathogen Streptococcus pneumoniae

The Streptococcus pneumoniae 5-enolpyruvylshikimate-3-phosphate (EPSP) synthase is a potential novel antibacterial target. The enzyme catalyzes a reversible transfer of an enolpyruvyl group from phospho(enol)pyruvate (PEP) to shikimate 3-phosphate (S3P) to give EPSP with the release of inorganic phosphate (Pi). Understanding the kinetic mechanism of this enzyme is crucial to the design of novel inhibitors of this enzyme that may have potential as antibacterial agents. Steady-state kinetic studies of product inhibition and inhibition by glyphosate (GLP) have demonstrated diverse inhibition patterns of the enzyme. In the forward reaction, GLP is a competitive inhibitor with respect to PEP, but an uncompetitive inhibitor relative to S3P. Product inhibition shows that EPSP is a competitive inhibitor versus both PEP and S3P, suggesting that the forward reaction follows a random sequential mechanism. In the reverse reaction, GLP is an uncompetitive inhibitor versus EPSP, but a noncompetitive inhibitor versus Pi. This indicates that a non-productive quaternary complex might be formed between the enzyme, EPSP, GLP and Pi. Product inhibition in the reverse reaction has also been investigated. The inhibition patterns of the S. pneumoniae EPSP synthase are not entirely consistent with those of EPSP synthases from other species, indicating that EPSP synthases from different organisms may adopt unique mechanisms to catalyze the same reactions.     

The Kinetic Mechanism of 5-Enolpyruvylshikimate-3-Phosphate Synthase from a Gram-Positive Pathogen Streptococcus Pneumoniae

Abstract

The Streptococcus pneumoniae 5-enolpyruvylshikimate-3-phosphate (EPSP) synthase is a potential novel antibacterial target. The enzyme catalyzes a reversible transfer of an enolpqruvyl group from phospho(enol)pqruvate (PEP) to shikimate 3-phosphate (S3P) to give EPSP with the release of inorganic phosphate (Pi). Understanding the kinetic mechanism of this enzyme is crucial to the design of novel inhibitors of this enzyme that may hate potential as antibacterial agents. Steady-state kinetic studies of product inhibition and inhibition by glyphosate (GLP) have demonstrated diverse inhibition patterns of the enzyme. In the forward reaction. GLP is a competitive inhibitor with respect to PEP, but an uncompetitive inhibitor relative to S3P. Product inhibition shows that EPSP is a competitive inhibitor versus both PEP and S3P. suggesting that the forward reaction follows a random sequential mechanism. In the reverse reaction. GLP is an uncompetitive inhibitor versus EPSP, but a noncompetitive inhibitor versus Pi. This indicates that a non-productive quaternary complex might he formed between the enzyme. EPSP, GLP and Pi. Product inhibition in the reverse reaction has also been investigated. The inhibition patterns of the S. pneumoniae EPSP synthase are not entirely consistent with those of EPSP synthases from other species, indicating that EPSP synthases from different organisms may adopt unique mechanisms to catalyze the same reactions.     

Nucleotide and bivalent cation specificity of the insulin-granule proton translocase

3-(4-[(3-Chlorophenyl)methoxy]phenyl)-5-[(methylamino)methyl]-2- oxazolidinone methanesulphonate (compound MD 780236) is a selective inhibitor of the B-form of monoamine oxidase. Inhibition involves an initial non-covalent interaction between enzyme and inhibitor followed by a time-dependent process resulting in irreversible inhibition. The initial, reversible, phase of inhibition was found to be competitive with respect to phenethylamine and 5-hydroxytryptamine, and a comparison of the Ki values indicated the affinity of the inhibitor for the B-form of the enzyme to be some 7-fold greater than its affinity for the A-form. This selectivity was considerably enhanced by preincubation of the enzyme and inhibitor. Time courses showed that complete inhibition was not achieved under conditions where the inhibitor concentration was over 100-fold greater than that of the enzyme. Assay of the activity of monoamine oxidase by determining the release of hydrogen peroxide fluorometrically showed compound MD 780236 to be a substrate for, as well as an inhibitor of, monoamine oxidase, and kinetic analysis revealed that the rate of product formation was some 530-fold greater than that of the process leading to irreversible inhibition of the B-form of the enzyme.     

Analysis of slow-binding enzyme inhibitors at elevated enzyme concentrations

The improvement in the characterization of slow-binding inhibitors achieved by performing experiments at elevated enzyme concentrations is presented. In particular, the characterization of slow-binding inhibitors conforming to a two-step mode of inhibition with a steady-state dissociation constant that is much lower than the initial dissociation constant with enzyme is discussed. For these systems, inhibition is rapid and low steady-state product concentrations are produced at saturating inhibitor concentrations. By working at elevated enzyme concentrations, improved signal-to-noise ratios are achieved and data may be collected at saturating inhibitor levels. Numerical simulations confirmed that improved parameter estimates are obtained and useful data to discern the mechanism of slow-binding inhibition are produced by working at elevated enzyme concentrations. The saturation kinetics that were unobservable in two previous studies of an enzyme inhibitor system were measured by performing experiments at an elevated enzyme concentration. These results indicate that consideration of the quality of the data acquired using a particular assay is an important factor when selecting the enzyme concentration at which to perform experiments used to characterize the class of enzyme inhibitors examined herein.     

Mechanism of inhibition of dihydrofolate reductases from bacterial and vertebrate sources by various classes of folate analogues

Different classes of folate analogues have been examined with respect to the mechanism of their inhibition of dihydrofolate reductases from Escherichia coli and chicken liver. In addition, the degree of synergism between the binding of these compounds and NADPH has been investigated. Methotrexate acts as a slow, tight-binding inhibitor of both enzymes whereas trimethoprim is a slow, tight-binding inhibitor of the enzyme from E. coli and a classical inhibitor of the chicken-liver enzyme. Pyrimethamine, 2,4-diamino-6,7-dimethylpteridine, a phenyltriazine, folate and folinate exhibit classical inhibition. The degree of synergism between the binding of NADPH and the inhibitor varied from low for pyrimethamine and folate to very large for the phenyltriazine which binds to the chicken-liver enzyme almost 50 000-times more tightly in the presence of NADPH. The degree of synergism is reflected in the type of inhibition that the folate analogues yield with respect to NADPH. Compounds which exhibit slight synergism give noncompetitive inhibition whereas those with a high degree of synergism yield uncompetitive inhibition. With the exception of folinate, all compounds that act as classical inhibitors give rise to competitive inhibition with respect to dihydrofolate. Folinate exhibits competitive inhibition against NADPH and noncompetitive inhibition against dihydrofolate. These results are consistent with the formation of an enzyme-dihydrofolate-folinate complex. The (6S, alphaS)-diastereoisomer of folinate was bound at least 1000-times more tightly than the (6R, alphaS)-diastereoisomer. Consideration has been given to the possible interactions that occur between residues on the enzyme and groups on the inhibitor that give rise to slow-binding inhibition.     

Some properties of an endodextranase inhibitor from continuous cultures of Streptococcus sobrinus.

Cell-free filtrates of Streptococcus sobrinus, cultured at low growth rate in the chemostat, contain a dextranase inhibitor that can completely inhibit the activity of S. sobrinus endodextranase. The range of conditions under which inhibition occurs, and the situations in which enzyme activity can reappear, have been examined in continuous cultures of strain 6715-13WT and the dextranase-deficient mutant 6715-13-201. A purified preparation of the inhibitor was specific for S. sobrinus dextranase, having no action on dextranases from other oral streptococci. The percentage inhibition of S. sobrinus dextranase varied with the enzyme concentration, and the complete inhibition of low amounts of enzyme indicated a very tight bond between the inhibitor and the enzyme.     

Steroidal fraction of Carissa carandas L. inhibits microbial hyaluronidase activity by mixed inhibition mechanism

Abstract

Hyaluronidase (hyase) is a hyaluronic acid (HA) depolymerizing enzyme produced by many pathogenic bacteria as a virulence factor to establish and spread infections. Present studies established that a steroidal fraction (SF) isolated from leaves of Carissa carandas act as a strong hyase inhibitor. The kinetic parameters involved in the inhibition of hyase by purified SF were studied and compared with standard hyase inhibitor quercetin. The purified SF showed the highest inhibition with an IC50 of 5.19 mM in comparison with a standard inhibitor, quercetin (IC50 8.63 mM). The inhibition constant (Ki) of purified SF determined by Dixon plot was 8.32 mM, which was significantly lower than that of quercetin standard. The kinetic behavior of enzyme hyase revealed to be more complex than classical competitive and uncompetitive inhibition where inhibitor affects both Km and Vmax. The inhibitor (I) favored the binding to the enzyme–substrate (ES) complex where Km value appeared to decrease (Kmapp < Km). The inhibitor also leads to decrease in the apparent maximum velocity of the enzyme–substrate reaction (Vmaxapp < Vmax). These results signpost toward mixed nature of inhibition of enzyme hyase by purified SF. Anti-hyaluronidase activity by a bioactive metabolite from C. carandas has not been reported so far and has high therapeutic potential against spread of pathogen and its toxins in the host.     

Purification and properties of rat brain pyruvate kinase

Rat brain pyruvate kinase was purified to near homogeneity by a three-step process involving ammonium sulfate precipitation and phosphocellulose and Blue-Sepharose CL-6B column chromatography. The enzyme migrated on polyacrylamide gel along with a commercial sample of rabbit muscle pyruvate kinase. The enzyme showed a hyperbolic relationship with phosphoenolpyruvate and ADP, with apparent Km's of 0.18 and 0.42 X 10(-3) M, respectively. The enzyme was inhibited by ATP, the effect being more pronounced at unsaturating concentrations of phosphoenolpyruvate. L-Phenylalanine was found to be a strong inhibitor of the enzyme, with the Ki for inhibitor being 0.11 mM. The inhibition by phenylalanine was more pronounced at pH 7.4 than at pH 7.0, and appeared to be competitive with phosphoenolpyruvate. L-Alanine and fructose 1,6-bisphosphate prevented the inhibition of the enzyme by phenylalanine. Ca2+ was found to be a strong inhibitor of the enzyme, and the inhibition was more marked at saturating phosphoenolpyruvate concentrations. The kinetic properties of the purified brain pyruvate kinase suggest that the enzyme may be distinct from the muscle or liver enzymes.     

Kinetic studies of the pyridoxal kinase from pig liver: slow-binding inhibition by adenosine tetraphosphopyridoxal

Pyridoxal kinase from pig liver has been purified 10,000-fold to apparent homogeneity. The enzyme is a dimer of subunits of Mr 32,000. The enzyme is strongly inhibited by the product pyridoxal 5'-phosphate. Liver pyridoxamine phosphate oxidase, another enzyme involved in the biosynthesis of pyridoxal 5'-phosphate, is also strongly inhibited by this compound [Wada, H., & Snell, E. E. (1961) J. Biol. Chem. 236, 2089-2095]. Thus, the biosynthesis of pyridoxal 5'-phosphate in the liver might be regulated by the product inhibition of both pyridoxamine phosphate oxidase and pyridoxal kinase. Kinetic studies revealed that the catalytic reaction of liver pyridoxal kinase follows an ordered mechanism in which pyridoxal and ATP bind to the enzyme and ADP and pyridoxal 5'-phosphate are released from the enzyme, in this order. Adenosine tetraphosphopyridoxal was found to be a slow-binding inhibitor of pyridoxal kinase. Pre-steady-state kinetics of the inhibition revealed that the inhibitor and the enzyme form an initial weak complex prior to the formation of a tighter and slowly reversing complex. The overall inhibition constant was 2.4 microM. ATP markedly protects the enzyme against time-dependent inhibition by the inhibitor, whereas another substrate pyridoxal affords no protection. By contrast, adenosine triphosphopyridoxal is not a slow-binding inhibitor of this enzyme.     

Inhibition of monoamine oxidase by substituted hydrazines

1. The initial rate of inhibition of monoamine oxidase by phenethylhydrazine was shown to be similar, in pH-dependence and kinetic properties, to the oxidation of that compound by monoamine oxidase. 2. The time-course of irreversible inhibition of monoamine oxidase by phenethylhydrazine lags behind that of reversible inhibition. 3. Hydralzine was shown to be a reversible competitive inhibitor of monoamine oxidase, but phenylhydrazine is an irreversible inhibitor. Inhibition by the latter compound is not affected by the absence of oxygen, and the presence of substrate exerts no protective action. 4. Hydrazine does not inhibit monoamine oxidase unless a substrate and oxygen are present. 5. Phenethylidenehydrazine was found to be a time-dependent inhibitor of monoamine oxidase and the rate of inhibition was hindered by increasing oxygen concentration. 6. A mechanism for the inhibition of the enzyme by phenethylhydrazine is proposed in which the product of oxidation of this compound is a potent reversible inhibitor and an irreversible inhibitor of the enzyme. A computer simulation of such a mechanism predicts time-courses of inhibition that are in reasonable agreement with those observed experimentally.     

Slow- and tight-binding inhibition of aspartate aminotransferase by L-hydrazinosuccinate

The inhibition of aspartate aminotransferase (L-aspartate: 2-oxoglutarate aminotransferase, EC 2.6.1.1) by L-hydrazinosuccinate has been studied. The velocity of the enzyme reaction decreased with time when the reaction was initiated by the addition of enzyme to a mixture of the assay components and L-hydrazinosuccinate, while it increased slowly from a low level when a preincubated mixture of the enzyme and the inhibitor was added to the reaction mixture to initiate the reaction. Nearly 50% decrease in the initial reaction velocity was produced by a prolonged preincubation of the enzyme with the inhibitor, both at low concentrations of about 2 nM. These findings indicate that the inhibition is of the slow- and tight-binding type. The time-course of the reaction of the enzyme and the inhibitor, examined by the change in activity, was not in accord with single-step mechanisms, but rather appeared to follow biphasic kinetics. The inhibition could be fully reversed only in the presence of L-cysteine sulfinate or large excess of L-aspartate to convert the regenerated enzyme to its pyridoxamine form. The time-course of the reversal followed pseudo-first-order kinetics. Quantitative analysis of the experimental data has shown that the results are consistent with a mechanism of enzyme-inhibitor interaction which involves a reaction of two consecutive, reversible steps. The overall inhibition constant for L-hydrazinosuccinate was calculated to be approx. 0.2 nM.     

Inhibition of mammalian xanthine oxidase by folate compounds and amethopterin

We have examined the effects of folate compounds and the folate analog amethopterin (methotrexate) as inhibitors of mammalian xanthine oxidase and have found that they offer potent inhibition of the enzyme. We have compared the inhibitory potency of folic acid and its coenzyme derivative tetrahydrofolic acid to that of allopurinol, a known inhibitor of xanthine oxidase, and have demonstrated that folic acid and tetrahydrofolic acid are severalfold more potent than allopurinol as inhibitors of xanthine oxidase. Comparative inhibition constants calculated were 5.0 X 10(-7) M for folic acid. 1.25 X 10(-6) M for tetrahydrofolic acid, and 4.88 X 10(-6) M for allopurinol. Incubation of xanthine oxidase with folic acid at a concentration of 10(-6) M abolished 94% of the enzymic activity within 1 min of incubation with the enzyme. At the same concentration, allopurinol was almost ineffective as an inhibitor of xanthine oxidase. The substrate xanthine protected the enzyme against total inhibition by folic acid. Reversibility of the enzymic inhibition by folic acid was demonstrated. Folic acid-inactivated enzyme was totally regenerated either by filtration through Sephadex G-200 or by precipitation with ammonium sulfate. 2-Amino-4-hydroxypteridine was a poor substrate for the enzyme but a potent inhibitor for the oxidation of xanthine by the enzyme. The inhibition constant calculated was 1.50 X 10(-6) M. In the presence of an excess of xanthine oxidase, neither folic acid nor tetrahydrofolic acid and allopurinol exhibited any change in intensity of their absorbance or in the wavelength of their maximal absorbance that might have been suggestive of substrate utility. The folate analog amethopterin was also determined a potent inhibitor of mammalian xanthine oxidase. The inhibition constant calculated was 3.0 X 10(-5) M.     

Appendix to the sulfur-cyanolysis sites of serum albumin: metabolite competition studies. Tight-binding inhibitions that yield atypical Henderson plots

Ordinary tight-binding inhibition in steady-state enzyme systems is conveniently evaluated by means of the Henderson plot. This is a linear plotting form that has an ordinate intercept equal to the total enzyme concentration. However, there are two experimental situations that yield deviations from the common Henderson plot form. These are inhibitor binding in a separate, noninhibitory mode that depletes the concentration of free inhibitor, and partial inhibition, i.e., the retention of partial activity by the enzyme-inhibitor complex. Noninhibitory depletion results in Henderson plots with elevated ordinate intercepts. Competitive partial inhibition yields a characteristic pattern of parabolic Henderson plots.     

Inhibition of lymphocyte 5'-nucleotidase by lectins: effects of lectin specificity and cross-linking ability

5'-Nucleotidase, an integral glycoprotein enzyme of the lymphocyte plasma membrane, is inhibited cooperatively by the lectin concanavalin A. Because divalent succinyl-concanavalin A is a poor enzyme inhibitor, both binding and lectin-induced cross-linking of 5'-nucleotidase may be necessary for inhibition. Succinyl-concanavalin A does not compete with concanavalin A for binding to the enzyme; however, maleyl-concanavalin A, another poor inhibitor, competes effectively with the parent lectin. Thus, maleyl-concanavalin A binds to the same site as concanavalin A but causes little inhibition, whereas succinyl-concanavalin A does not bind to this site. The monovalent lectin from Ricinus communis (RCA-60) is a more effective enzyme inhibitor than the related divalent lectin (RCA-120), and inactivation of the second low-affinity sugar binding site on RCA-60 does not abolish inhibition, suggesting that multivalent cross-linking is not required for 5'-nucleotidase inhibition. Peanut and wheat germ agglutinins do not inhibit the enzyme, whereas lectins from lentil, pea, soybean, Griffonia simplicifolia, and Phaseolus vulgaris inhibit 5'-nucleotidase with various degrees of effectiveness. The only lectin showing strong positive cooperativity in its interaction with 5'-nucleotidase is concanavalin A.     

Inhibition of pyruvate kinase of bovine adrenal cortex by ATP: the role of magnesium]

The effect of ATP on bovine adrenal cortex pyruvate kinase has been studied. ATP is a competitive inhibitor of the enzyme, the Ki being 3.2 mM. Based on the efficiency of tryptophan fluorescence quenching, it was concluded that the magnesium complex of ATP is a true enzyme inhibitor. The role of Mg2+ in the inhibition process consists in the formation of a bridge between the enzyme and ATP. The ATP-dependent mechanism of pyruvate kinase inhibition is a potential physiological regulator of the enzyme determining the lower threshold of its sensitivity in vivo.     

The mechanism for inhibition of gastric (H+ + K+)-ATPase by omeprazole

Omeprazole was found to inhibit the K+-stimulated ATPase activity of the gastric (H+ + K+)-ATPase in parallel with the K+-stimulated p-nitrophenylphosphatase activity and the phosphoenzyme formation. The degree of inhibition of ATPase activity was directly correlated to the amount inhibitor bound to the enzyme preparation down to about 15% of the control enzyme activity. The acid-decomposed form of omeprazole, i.e. the inhibitory form, was found to react with and bind to sulfhydryl groups within the (H+ + K+)-ATPase preparation with close to a 1:1 stoichiometry. beta-Mercaptoethanol, when added beforehand and in a 10-fold excess of omeprazole, completely prevented binding of the inhibitor and its inhibition of the enzyme. In the presence of beta-mercaptoethanol two different reaction products could be detected in addition to omeprazole; the reduced form of omeprazole (H 168/22), and a product formed between beta-mercaptoethanol and a decomposition product, generated from omeprazole. Under those conditions neither inhibition nor binding was obtained, indicating that none of these three compounds was the inhibitor. Rather, the compound generated from omeprazole and reacting rapidly with either beta-mercaptoethanol or the -SH groups of the enzyme was the likely inhibitor compound. In order to reverse already established inhibition higher concentrations of beta-mercaptoethanol were needed than for protection indicating two different reaction pathways for protection and reversal by beta-mercaptoethanol. The reversal reaction was explained by a two-step reaction; in the first step the bound inhibitor was exchanged for a beta-mercaptoethanol molecule resulting in formation of compound H 168/22 and a mixed disulfide between the enzyme and beta-mercaptoethanol. In the second step, attack of another beta-mercaptoethanol molecule results in liberation of active enzyme and generation of the disulfide form of beta-mercaptoethanol. This hypothesis was substantiated by the fact that when 1 mM beta-mercaptoethanol was added to inhibited enzyme the radiolabel was partially displaced, without any change in the concentration of modified -SH groups.     

Fluoride inhibition of inorganic pyrophosphatase. I. Kinetic studies in a Mg2+-PPi system using a new continuous enzyme assay.

Reversible inhibition of bakers' yeast inorganic pyrophosphatase (EC 3.6.1.1) by fluoride has been studied as a function of substrate, metal-ion activator and inhibitor concentrations and pH using a new continuous enzyme assay with an automatic phosphate analyzer. The inhibition was shown to be the result of tight binding of fluoride by two catalytically active enzyme-substrate complexes. The reaction between pyrophosphatase and fluoride is relatively slow, so that the rate constants for the binding and release of the inhibitor were derived from phosphate formation curves measured on the time scale of enzyme assays. The pH-dependence of the inhibition reaction in the alkaline medium indicates that both the fluoride-enzyme interaction and the catalytic step of the pyrophosphatase reaction are controlled by the same group on the protein. In the acidic medium, the inhibition is considerably enhanced, presumably because of the protonation of another enzyme group.     

Inhibition of fly head acetylcholinesterase by bis-[(m-hydroxyphenyl)trimethylammonium iodide] esters of polymethylenedicarbamic acids

A series of bis-[(m-hydroxyphenyl)trimethylammonium iodide] esters of polymethylenedicarbamic acids and a number of (m-hydroxyphenyl)trimethylammonium iodide esters of straight-chain N-alkylcarbamic acids have been examined as inhibitors of acetylcholinesterase from fly head. Evidence is presented suggesting that inhibition of acetylcholinesterase by the bis-carbamates is due to carbamoylation of the enzyme, as is generally thought to be the case with esters of N-alkylcarbamic acids. Inhibition is irreversible. The (m-hydroxyphenyl)trimethylammonium iodide ester of N-hexylcarbamic acid also inhibits fly head acetylcholinesterase irreversibly. There is therefore no need to implicate a second functional group in bis-carbamate esters to explain the irreversible inhibition of the enzyme. An unusual feature of the inhibition is that inhibition lines do not pass through 100% enzyme activity at t=0, except for rather low concentrations of inhibitor (<10mum for the octamethylene compound). Also, inhibition lines tend towards a maximum slope as inhibitor concentration is increased. The first observation indicates complex-formation, even in the presence of high concentrations of substrate, and by using measurements of inhibition at relatively high inhibitor concentrations, affinity constants K'(a) have been calculated. K'(a) varies from 0.1mum for the dodecamethylene compound to 10mum for the tetramethylene compound, in the presence of 3.75mm-acetylthiocholine, indicating high affinity for the enzyme. The second observation shows that, owing to this high affinity, the enzyme becomes saturated with inhibitor under the experimental conditions employed, and from the limiting slope values of the carbamoylation rate constant (k(2)) have been calculated. k(2) varies from 0.15min(-1) for the tetramethylene compound to 1min(-1) for the decamethylene compound. Variations of potency in this series are therefore mainly due to changes in affinity (100-fold) rather than in carbamoylation rate (sevenfold). The observation that large molecules may acylate the enzyme raises certain problems, which are discussed.     

Inhibition of carnitine acetyltransferase by metabolites of 4-pentenoic acid

The inhibition of carnitine acetyltransferase (EC 2.3.1.7) by metabolites of 4-pentenoic acid was studied. 3-Keto-4-pentenoyl-CoA, a beta-oxidation metabolite of 4-pentenoic acid, was found to be an effective inhibitor of the enzyme in the presence, but not in the absence of L-carnitine. Since acetyl-CoA protects the enzyme against this inhibition, 3-keto-4-pentenoyl-CoA seems to be an active site-directed inhibitor. 3-Keto-4-pentenoyl-CoA, which is a substrate of carnitine acetyltransferase, causes the irreversible inactivation of the enzyme. All observations together lead to the suggestion that 3-keto-4-pentenoyl-CoA is a mechanism-based inhibitor of carnitine acetyltransferase.     

A linear equation that describes the steady-state kinetics of enzymes and subcellular particles interacting with tightly bound inhibitors

When an enzyme exhibits a high affinity for an inhibitor, the steady-state analysis of the mechanism is complicated by the non-linearity of normal dose-response plots or of reciprocal replots. It is shown here that dose-response measurements generate a linear plot of inhibitor concentration divided by degree of inhibition against velocity without inhibitor divided by velocity with inhibitor; the concentration of enzyme may be derived from the extrapolated intercept of such plots, and the mechanism of inhibition from replots of the variation of the slope with substrate concentration. The limiting cases where virtually all inhibitor molecules are bound or virtually all are free are described, together with the situation when a significant proportion of the substrate becomes bound. This type of analysis indicates that the inhibitors of oxidative phosphorylation, rutamycin and bongkrekic acid, are tightly bound to rat liver mitochondria.