Theory and experimental method for determining individual kinetic constants of fast-acting, irreversible proteinase inhibitors

A theory and experimental method are presented to characterize the kinetics of fast-acting, irreversible proteinase inhibitors. The theory is based upon formal analysis of the case of an irreversible inhibitor competing with a substrate for the active-site of a proteinase. From this theory, an experimental method is described by which the individual microscopic kinetic constants for the interaction of the inhibitor with the proteinase can be determined. These are, for a two-step inhibition reaction sequence, the equilibrium dissociation constant and the first-order rate constant for inhibition, and, for a one-step inhibition reaction sequence, the second-order rate constant for inhibition. The theory and experimental method were validated by an analysis of the inhibition of trypsin by the two-step synthetic inhibitor p-nitrophenyl p-guanidinobenzoate and the one-step protein inhibitor bovine pancreatic trypsin inhibitor. The substrate used in these experiments is a new, fluorogenic substrate for trypsin-like serine proteinases (Cbz-Ile-Pro-Arg-NH)2-Rhodamine, the synthesis and properties of which are described.     

Adaptation of acyl-enzyme kinetic theory and an experimental method for evaluating the kinetics of fast-acting, irreversible protease inhibitors

The theory of acyl-enzyme kinetics (Bender, M.L., Kézdy, F.J. and Wedler, F.C. (1967) J. Chem. Educ. 44, 84-88) has been adapted for use in evaluating the kinetics of inhibition of serine proteases by both natural and synthetic irreversible inhibitors. The new theory is based upon formal analysis of the case of an irreversible, active-site-directed inhibitor competing with an irreversible, active-site-directed substrate for the active site of a serine protease. From this theory, an experimentally simple and accurate method is described to obtain a second-order rate constant that is characteristic of the efficiency with which an irreversible inhibitor reacts. The experimental method is particularly useful for characterizing fast-acting, irreversible inhibitors. The theory and method which are applicable to a wide variety of enzymes are verified by analysis of the inhibition of bovine trypsin by three model inhibitors, p-nitrophenyl p'-guanidinobenzoate, soybean trypsin inhibitor and alpha-1-proteinase inhibitor as well as by human antithrombin III in the presence of heparin and by bovine pancreatic trypsin inhibitor.     

In vivo significance of kinetic constants of protein proteinase inhibitors

We describe the in vivo significance of the kinetic parameters which characterize the interaction between proteinases and protein proteinase inhibitors. Knowledge of the second-order association rate constant kass and in vivo inhibitor concentration allows the calculation of the delay time of inhibition, i.e., the time required for complete inhibition of a proteinase in vivo. The influence of biological substrates on the delay time is also analyzed. The extent of substrate breakdown during the delay time of inhibition may be computed from the various constants describing the proteinase/substrate/inhibitor interactions and the biological concentrations of proteinase and inhibitor. The in vivo partition of a proteinase between two inhibitors may be calculated if the kinetic parameters are known. We define a stability time for enzyme-inhibitor complexes as a minimal time during which the complexes may be considered as stable. This time is related to kdiss the dissociation rate constant of the reversible enzyme-inhibitor complex or to k, the breakdown rate constant of the complex formed with temporary inhibitors. The overall stability of the complex depends upon the ratio between the inhibitor concentration and Ki, the equilibrium dissociation constant of the complex. If this ratio is higher than 1000, a reversible inhibitor behaves like an irreversible one in vivo whatever the enzyme concentration.     

Irreversible inhibition of the thermophilic esterase EST2 from <Emphasis Type="Italic">Alicyclobacillus acidocaldarius</Emphasis>

Kinetic studies of irreversible inhibition in recent years have received growing attention owing to their relevance to problems of basic scientific interest as well as to their practical importance. Our studies have been devoted to the characterization of the effects that well-known acetylcholinesterase irreversible inhibitors exert on a carboxylesterase (EST2) from the thermophilic eubacterium Alicyclobacillus acidocaldarius. In particular, sulfonyl inhibitors and the organophosphorous insecticide diethyl-p-nitrophenyl phosphate (paraoxon) have been studied. The incubation of EST2 with sulfonyl inhibitors resulted in a time-dependent inactivation according to a pseudo-first-order kinetics. On the other hand, the EST2 inactivation process elicited by paraoxon, being the inhibition reaction completed immediately after the inhibitor addition, cannot be described as a pseudo-first-order kinetics but is better considered as a high affinity inhibition. The values of apparent rate constants for paraoxon inactivation were determined by monitoring the enzyme/substrate reaction in the presence of the inhibitor, and were compared with those of the sulfonyl inhibitors. The protective effect afforded by a competitive inhibitor on the EST2 irreversible inhibition, and the reactivation of a complex enzyme/irreversible-inhibitor by hydroxylamine and 2-PAM, were also investigated. The data have been discussed in the light of the recently described dual substrate binding mode of EST2, considering that the irreversible inhibitors employed were able to discriminate between the two different binding sites.     

Competitive irreversible inhibition of enzymes in the presence of a substrate: scope and limitations

Rapid irreversible inhibition of enzymes constitutes a difficult problem and demands sophisticated techniques to meet contemporary expectations of accuracy and precision. Modern computerized, analytical techniques now allow inhibition to be measured in the presence of a chromogenic substrate, the decomposition product of which can be followed by a conventional method and in a continuous mode. This article has been written to fulfill a need for guidelines to aid the designer of experiments for the irreversible inhibition of enzymes. Thus the scope and limitations of the continuous competitive method for the irreversible inhibition of enzymes is examined here. Examples of acetylcholinesterase inhibition by two diagonally different phosphonate inhibitors are used for illustrating accuracy and precision of the competitive irreversible inhibition technique at different levels of enzyme saturation with inhibitor and substrate.     

Half-time analysis of the kinetics of irreversible enzyme inhibition by an unstable site-specific reagent

The half-time method for the determination of Michaelis parameters from enzyme progress-curve data (Wharton, C.W. and Szawelski, R.J. (1982) Biochem. J. 203, 351-360) has been adapted for analysis of the kinetics of irreversible enzyme inhibition by an unstable site-specific inhibitor. The method is applicable to a model in which a product (R) of the decomposition of the site-specific reagent, retaining the chemical moiety responsible for inhibitor specificity, binds reversibly to the enzyme with dissociation constant Kr: (formula; see text). Half-time plots of simulated enzyme inactivation time-course data are shown to be unbiased, and excellent estimates of the apparent second-order rate constant for inactivation (k +2/Ki) and Kr can be obtained from a series of experiments with varying initial concentrations of inhibitor. Reliable estimates of k +2 and Ki individually are dependent upon the relative magnitudes of the kinetic parameters describing inactivation. The special case, Kr = Ki, is considered in some detail, and the integrated rate equation describing enzyme inactivation shown to be analogous to that for a simple bimolecular reaction between enzyme and an unstable irreversible inhibitor without the formation of a reversible enzyme-inhibitor complex. The half-time method can be directly extended to the kinetics of enzyme inactivation by an unstable mechanism-based (suicide) inhibitor, provided that the inhibitor is not also a substrate for the enzyme.     

Competitive Irreversible Inhibition of Enzymes in the Presence of A Substrate: Scope and Limitations

Abstract

Rapid irreversible inhibition of enzymes constitutes a difficult problem and demands sophisticated techniques to meet contemporary expectations of accuracy and precision. Modern computerized, analytical techniques now allow inhibition to be measured in the presence of a chromogenic substrate, the decomposition product of which can be followed by a conventional method and in a continuous mode. This article has been written to fulfill a need for guidelines to aid the designer of experiments for the irreversible inhibition of enzymes. Thus the scope and limitations of the continuous competitive method for the irreversible inhibition of enzymes is examined here. Examples of acetylcholinesterase inhibition by two diagonally different phosphonate inhibitors are used for illustrating accuracy and precision of the competitive irreversible inhibition technique at different levels of enzyme saturation with inhibitor and substrate.     

Inactivation of chymotrypsin and human skin chymase: kinetics of time-dependent inhibition in the presence of substrate

The reaction of chymase, a chymotryptic proteinase from human skin, and bovine pancreatic chymotrypsin with a number of time-dependent inhibitors has been studied. An integrated equation, relating product formation with time, has been derived for the reaction of enzymes with time-dependent inhibitors in the presence of substrate. This is based on a two-step model in which a rapidly reversible, non-covalent complex (EI) is formed prior to a tighter, less readily reversible complex (EI)*). The equation depends on the simplifying assumption [I] much greater than [E], but is applicable to reversible and irreversible slow-binding and tight-binding inhibitors whether or not they show saturation kinetics. The method has been applied to the reaction of chymase and chymotrypsin with the tetrapeptide aldehyde, chymostatin, basic pancreatic trypsin inhibitor and Ala-Ala-Phe-chloromethylketone (AAPCK). The irreversible inhibitor, AAPCK, showed the expected saturation kinetics for both enzymes and the apparent first-order rate constants (k2) and dissociation constants (Ki) for the non-covalent complexes were determined. Chymostatin was a much more potent inhibitor which failed to show a saturation effect. The second-order rate constant of inactivation (k2/Ki), the first-order reactivation rate constant (k-2), and the dissociation constant of the covalent complex (Ki*) were determined. Basic pancreatic trypsin inhibitor, a potent inhibitor of chymotrypsin, had similar kinetics to chymostatin but failed to inhibit chymase. The applicability of the two-step model and the integrated equation to slow- and tight-binding inhibitors is discussed in relation to a number of examples from the literature.     

Serpins of oat (Avena sativa) grain with distinct reactive centres and inhibitory specificity

Most proteinase inhibitors from plant seeds are assumed to contribute to broad-spectrum protection against pests and pathogens. In oat (Avena sativa L.) grain the main serine proteinase inhibitors were found to be serpins, which utilize a unique mechanism of irreversible inhibition. Four distinct inhibitors of the serpin superfamily were detected by native PAGE as major seed albumins and purified by thiophilic adsorption and anion exchange chromatography. The four serpins OSZa-d are the first proteinase inhibitors characterized from this cereal. An amino acid sequence close to the blocked N-terminus, a reactive centre loop sequence, and the second order association rate constant (ka') for irreversible complex formation with pancreas serine proteinases at 24 degrees C were determined for each inhibitor. OSZa and OSZb, both with the reactive centre scissile bond P1-P1' Thr downward arrow Ser, were efficient inhibitors of pancreas elastase (ka' > 105M-1 s-1). Only OSZb was also an inhibitor of chymotrypsin at the same site (ka' = 0.9 x 105M-1 s-1). OSZc was a fast inhibitor of trypsin at P1-P1' Arg downward arrow Ser (ka' = 4 x 106M-1 s-1); however, the OSZc-trypsin complex was short-lived with a first order dissociation rate constant kd = 1.4 x 10-4 s-1. OSZc was also an inhibitor of chymotrypsin (ka' > 106M-1 s-1), presumably at the overlapping site P2-P1 Ala downward arrow Arg, but > 90% of the serpin was cleaved as substrate. OSZd was cleaved by chymotrypsin at the putative reactive centre bond P1-P1' Tyr downward arrow Ser, and no inhibition was detected. Together the oat grain serpins have a broader inhibitory specificity against digestive serine proteinases than represented by the major serpins of wheat, rye or barley grain. Presumably the serpins compensate for the low content of reversible inhibitors of serine proteinases in oats in protection of the grain against pests or pathogens.     

Determination of inhibition constants, I50 values and the type of inhibition for enzyme-catalyzed reactions

A procedure is proposed for determining whether an inhibitor of an enzyme-catalyzed reaction is competitive, noncompetitive, or uncompetitive with respect to the substrate. The method is based on fitting the equation for noncompetitive inhibition to data obtained by measuring the rate of the reaction over a range of substrate and inhibitor concentrations. The results of this fit may suggest that the inhibition may be either competitive or uncompetitive, whereupon the data are reanalyzed using the appropriate equation. Comparison of this second fit with the first using an F test permits a statistical decision to be made on the type of inhibition. The chosen fit yields values and standard errors for the Michaelis-Menten parameters (maximum velocity and Michaelis constant), as well as the inhibition constant(s). From these values it is then possible to predict the I50, and its standard error, at any chosen substrate concentration, thereby facilitating comparison with results obtained with similar inhibitors, for homologous enzymes, or in other laboratories.     

Molecular recognition by acetylcholinesterase at the peripheral anionic site: structure-activity relationships for inhibitions by aryl carbamates

Substituted phenyl-N-butyl carbamates (1-9) are potent irreversible inhibitors of Electrophorus electricus acetylcholinesterase. Carbamates 1-9 act as the peripheral anionic site-directed irreversible inhibitors of acetylcholinesterase by the stop-time assay in the presence of a competitive inhibitor, edrophonium. Linear relationships between the logarithms of the dissociation constant of the enzyme inhibitor adduct (Ki), the inactivation constant of the enzyme-inhibitor adduct (k2), and the bimolecular inhibition constant (k(i)) for the inhibition of Electrophorus electricus acetylcholinesterase by carbamates 1-9 and the Hammett substituent constant (sigma), are observed, and the reaction constants (ps) are -1.36, 0.35 and -1.01, respectively. Therefore, the above reaction may form a positive charged enzyme-inhibitor intermediate at the peripheral anionic site of the enzyme and may follow the irreversible inactivation by a conformational change of the enzyme.     

Synthesis and evaluation of (+) and (-)-2,2-difluorocitrate as inhibitors of rat-liver ATP-citrate lyase and porcine-heart aconitase.

The enantiomers (+) and (-)-2,2-difluorocitrate have been synthesized. Both are good inhibitors of ATP-citrate lyase, showing competitive inhibition against citrate, with Kis = 0.7 microM for (+)-2,2-difluorocitrate and 3.2 microM for (-)-2,2-difluorocitrate. The inhibition patterns with either ATP or CoA as the varied substrate were uncompetitive and mixed, respectively, but with much weaker inhibition constants. Neither isomer undergoes carbon-carbon bond cleavage as a substrate and there is no evidence of irreversible time-dependent inactivation. When ATP-citrate lyase is incubated with CoA and difluorocitrate, the maximal intrinsic ATPase rate is 10% of the citrate-induced rate for the (+)-enantiomer and 2% for the (-)-enantiomer. 19F-NMR studies confirm that only the (+)-enantiomer is chemically processed. The effects of the difluorocitrate enantiomers on the reaction catalysed by aconitase were examined. (-)-2,2-Difluorocitrate is a competitive inhibitor against citrate (Kis = 1.5 microM), whereas the (+)-enantiomer is a relatively poor mixed inhibitor (Ki greater than 300 microM). The (-)-enantiomer irreversibly inactivates aconitase at 1.1 min-1.mM-1 at 25 degrees C and pH 7.4, whereas no irreversible inhibition is seen with the (+)-enantiomer. Therefore, it would be expected that the (+)-enantiomer would slow the rate of acetyl-CoA synthesis in vivo, without inhibiting the citric acid cycle.     

Characterization of two types of binding sites of substrate-like inhibitors in the heavy meromyosin molecule

The effects of several phosphorylating and alkylating analogs of the substrate on the ATPase activity of myosin and heavy meromyosin were compared. The data obtained confirmed the previously made assumption on the existence of two types of substrate-like inhibitor binding sites in the enzyme molecule. In one of the sites, presumably in the active one, there occurs a reversible competitive inhibition characterized by a high affinity for the inhibitors, which are mixed anhydrides of various mononucleotides and mesitylcarboxylic acid or its derivatives. An enhancement of hydrophobicity of these compounds causes an increase in their affinity for this site. At much higher concentrations of the inhibitors an irreversible inhibition takes place, the rate of inhibition being decreased with an increase in the phosphorylating capacity of the compound. This site possesses a far lower affinity for the inhibitors and reveals a certain specificity with respect to the analog mononucleotide moiety structure, i.e. a replacement of the 6-NH2-group by the 6-OH-group or an increase in the number of the phosphate residues result in a decrease of the efficiency of inhibition. No correlation between the analog capacity to cause irreversible inhibition and to act as an effective competitive inhibitor of reversible type has been shown to exist, thus allowing to use inhibitors of preferable action in one of the two types of the binding sites. No irreversible inhibition site was revealed when the ATPase activity of myosin subfragment I with and without the DTNB chains was investigated. Actin protects myosin against the inhibiting action of the analogs tested.     

Irreversible inhibition of trypsin by TLCK. A continuous method for kinetic study of irreversible enzymatic inhibitors in the presence of substrate

This work presents a kinetic study on irreversible inhibition of trypsin by TLCK, using a new experimental approach. The method consists of the incubation of the enzyme with an irreversible inhibitor in the presence of a substrate which allows enzyme turnover as well as continuous measurement of the appearance of the product, a simultaneous change in the initial concentrations of the irreversible inhibitor and enzyme being undertaken, though a constant ratio between the latter, is maintained. This new approach enables the kinetic constants for TLCK, k2 and K1, to be determined.     

5'-Haloacetamido-5'-deoxythymidines: novel inhibitors of thymidylate synthase

5'-Bromoacetamido-5'-deoxythymidine (BAT), 5'-iodoacetamido-5'-deoxythymidine (IAT), 5'-chloroacetamido-5'-deoxythymidine (CAT) and [14C]BAT were synthesized and their interactions with thymidylate synthase purified from L1210 cells were investigated. The inhibitory effects of these compounds on thymidylate synthase were in the order BAT greater than IAT greater than CAT, which is in agreement with their cytotoxic effects in L1210 cells. In the presence of substrate during preincubation, the concentration required for 50% inhibition of the enzyme activity by these inhibitors was 4-8-fold higher than it was in the absence of dUMP. The I50 values for BAT were 1 X 10(-5) M and 1.2 X 10(-6) M in the presence and absence, respectively, of dUMP during preincubation. These results were in agreement with the observed inhibition of thymidylate synthase by BAT in intact L1210 cells. A Lineweaver-Burk plot revealed that BAT behaved as a competitive inhibitor. The Km for the enzyme was 9.2 microM, and the Ki determined for competitive inhibition by BAT was 5.4 microM. Formation of a tight, irreversible complex is inferred from the finding that BAT-inactivation of thymidylate synthase was not reversible on prolonged dialysis and that the enzyme-BAT complex was nondissociable by gel filtration through a Sephadex G-25 column or by TSK-125 column chromatography. Incubation of thymidylate synthase with BAT resulted in time-dependent, irreversible loss of enzyme activity by first-order kinetics. The rate constant for inactivation was 0.4 min-1, and the steady-state constant of inactivation, Ki, was estimated to be 6.6 microM. The 5'-haloacetamido-5'-deoxythymidines provide specific inhibitors of thymidylate synthase that may also serve as reagents for studying the enzyme mechanism.     

Kinetic mechanism of the endogenous lactate dehydrogenase activity of duck epsilon-crystallin

Initial velocity, product inhibition, and substrate inhibition studies suggest that the endogenous lactate dehydrogenase activity of duck epsilon-crystallin follows an order Bi-Bi sequential mechanism. In the forward reaction (pyruvate reduction), substrate inhibition by pyruvate was uncompetitive with inhibition constant of 6.7 +/- 1.7 mM. In the reverse reaction (lactate oxidation), substrate inhibition by L-lactate was uncompetitive with inhibition constant of 158 +/- 25 mM. The cause of these inhibitions may be due to epsilon-crystallin-NAD(+)-pyruvate and epsilon-crystallin-NADH-L-lactate abortive ternary complex formation as suggested by the multiple inhibition studies. Pyruvate binds to free enzyme very poorly, with a very large dissociation constant. Bromopyruvate, fluoropyruvate, pyruvate methyl ester, and pyruvate ethyl ester are alternative substrates for pyruvate. 3-Acetylpyridine adenine dinucleotide, nicotinamide 1,N6-ethenoadenine dinucleotide, and nicotinamide hypoxanthine dinucleotide serve as alternative coenzymes for epsilon-crystallin. All the above alternative substrates or coenzymes showed an intersecting initial-velocity pattern conforming to the order Bi--Bi kinetic mechanism. Nicotinic acid adenine dinucleotide, thionicotinamide adenine dinucleotide, and 3-aminopyridine adenine dinucleotide acted as inhibitors for this enzymatic crystallin. The inhibitors were competitive versus NAD+ and noncompetitive versus L-lactate. alpha-NAD+ was a noncompetitive inhibitor with respect to the usual beta-NAD+. D-Lactate, tartronate, and oxamate were strong dead-end inhibitors for the lactate dehydrogenase activity of epsilon-crystallin. Both D-lactate and tartronate were competitive inhibitors versus L-lactate while oxamate was a competitive inhibitor versus pyruvate. We conclude that the structural requirements for the substrate and coenzyme of epsilon-crystallin are similar to those of other dehydrogenases and that the carboxamide carbonyl group of the nicotinamide moiety is important for the coenzyme activity.     

Protein chemical and kinetic characterization of recombinant porcine ribonuclease inhibitor expressed in Saccharomyces cerevisiae

A cDNA encoding porcine ribonuclease inhibitor was used to express this protein in yeast under control of the PHO5 promoter. The recombinant protein was purified to homogeneity with a yield of 0.2 mg/g of yeast cells (wet weight) and was found to be indistinguishable from the inhibitor isolated from porcine liver on the basis of the following criteria: the amino acid composition, the number of free sulfhydryl groups, the molecular weight of the native and the denatured protein, peptide mapping, and amino acid sequence analysis of the N- and C-terminal regions of the protein. A simple method was developed for measuring accurately the slow, tight-biding kinetics of the inhibition of ribonuclease by ribonuclease inhibitor. From the dependence of the observed inhibition constant on the substrate concentration, it could be concluded that RI was competitive with the substrate UpA. The dependence of the observed association rate constant on the substrate concentration was consistent with a two-step mechanism in which the substrate only competed in the second (isomerization) step. The values for the inhibition constant for the inhibition of RNase by the recombinant inhibitor, 67 fM, the association rate constant, 1.5 x 10(8) M-1.s-1, and the dissociation rate constant, 8.3 x 10(-6) s-1, were in good agreement with those obtained for the porcine liver RNase inhibitor.     

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.     

p-Nitrophenyl and cholesteryl-N-alkyl carbamates as inhibitors of cholesterol esterase

p-Nitrophenyl and cholesteryl-N-alkyl carbamates are good inhibitors of porcine pancreatic cholesterol esterase-catalyzed hydrolysis of p-nitrophenyl butyrate. p-Nitrophenyl-N-butyl and N-octyl carbamates (compounds 1 and 2, respectively) are potent active site-directed irreversible inhibitors of this enzyme. The inhibition of cholesterol esterase by compound 1 or 2 shows saturation kinetics with increasing inhibitor concentration. The activity of cholesterol esterase in the presence of compound 1 or 2 can be protected by the competitive inhibitor, phenylboronic acid. First-order decreases in cholesterol esterase activity effected by compound 1 or 2 are also observed in the presence of taurocholate/phosphatidylcholine micelles. Dilution of the inhibited enzyme results in a gradual return of activity, the rate of which is increased in the presence of the nucleophile hydroxylamine. Hence, inhibition of cholesterol esterase-catalyzed hydrolysis of p-nitrophenyl butyrate by compound 1 or 2 in the aqueous or micellar phase occurs via a carbamyl-cholesterol esterase mechanism. The turnover of the butyl carbamylenzyme is increased in the presence of micelles, which indicates that the micelles have a direct effect on the catalytic activity of the enzyme. However, this effect is dependent on the structure of the substrate as the turnover of the octyl carbamylenzyme is unaffected in the presence of micelles. A comparison of the second-order rate constants for the inhibition of cholesterol esterase by compound 1 or 2 indicates that the octyl derivative is the more potent inhibitor. Cholesteryl-N-alkyl carbamates do not carbamylate cholesterol esterase but instead act as reversible inhibitors. This is due to the stability of cholesteryl carbamates relative to p-nitrophenyl carbamates.