Calculation of inhibitor Ki and inhibitor type from the concentration of inhibitor for 50% inhibition for Michaelis-Menten enzymes

The use of I50 (concentration of inhibitor required for 50% inhibition) for enzyme or drug studies has the disadvantage of not allowing easy comparison among data from different laboratories or under different substrate conditions. Modifications of the Michaelis-Menten equation for treatment of inhibitors can allow both the determination of the type of inhibition (competitive, noncompetitive, and uncompetitive) and the Ki for the inhibitor. For competitive and uncompetitive inhibitors when the assay conditions are [S] = Km, then Ki = I50/2. For different conditions of [S] there is a divergence between competitive and uncompetitive inhibitors that may be used to identify the type of inhibitor. The equation for Ki also differs. For noncompetitive inhibitors the Ki = I50 and this relationship is valid with changing [S]. The equations developed require a single substrate, reversible-type inhibitors, and kinetics of the Michaelis-Menten type. Examples of the use of the equations are illustrated with experimental data from scientific publications.     

Mechanistic and kinetic studies of inhibition of enzymes

A graphical method for analyzing enzyme data to obtain kinetic parameters, and to identify the types of inhibition and the enzyme mechanisms, is described. The method consists of plotting experimental data as nu/(V0 - nu) vs 1/(I) at different substrate concentrations. I is the inhibitor concentration; V0 and nu are the rates of enzyme reaction attained by the system in the presence of a fixed amount of substrate, and in the absence and presence of inhibitor, respectively. Complete inhibition gives straight lines that go through the origin; partial inhibition gives straight lines that converge on the 1-I axis, at a point away from the origin. For competitive inhibition, the slopes of the lines increase with increasing-substrate concentration; with noncompetitive inhibition, the slopes are independent of substrate concentration; with uncompetitive inhibition, the slopes of the lines decrease with increasing substrate concentrations. The kinetic parameters, Km, Ki, Ki', and beta (degree of partiality) can best be determined from respective secondary plots of slope and intercept vs substrate concentration, for competitive and noncompetitive inhibition mechanism or slope and intercept vs reciprocal substrate concentration for uncompetitive inhibition mechanism. Functional consequencs of these analyses are represented in terms of specific enzyme-inhibitor systems.     

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.     

Inhibition of enzymatic reactions. A rapid method to determine the index pI50

The activity of every substance I inhibiting an enzymatic reaction can be approximately evaluated by the index PI50. This paper describes a simple and fast method of estimate and/ or determination of this index. The method is based on the linearity of the dependence of the ratio of reaction rates of uninhibited and inhibited reaction vs. concentration of the inhibitor at constant initial substrate and enzyme concentrations for fully competitive, noncompetitive, uncompetitive and mixed type of inhibition by the one inhibitor. The validity of the method is demonstrated by four inhibitors of hydrolysis of acetylthiocholine by butyrylcholine esterase.     

Kinetic mechanism of phosphofructokinase-2 from Escherichia coli. A mutant enzyme with a different mechanism

The kinetic mechanisms of Escherichia coli phosphofructokinase-2 (Pfk-2) and of the mutant enzyme Pfk-2 were investigated. Initial velocity studies showed that both enzymes have a sequential kinetic mechanism, indicating that both substrates must bind to the enzyme before any products are released. For Pfk-2, the product inhibition kinetics was as follows: fructose-1,6-P2 was a competitive inhibitor versus fructose-6-P at two ATP concentrations (0.1 and 0.4 mM), and noncompetitive versus ATP. The other product inhibition patterns, ADP versus either ATP or fructose-6-P were noncompetitive. Dead-end inhibition studies with an ATP analogue, adenylyl imidodiphosphate, showed uncompetitive inhibition when fructose-6-P was the varied substrate. For Pfk-2, the product inhibition studies revealed that ADP was a competitive inhibitor versus ATP at two fructose-6-P concentrations (0.05 and 0.5 mM), and noncompetitive versus fructose-6-P. The other product, fructose-1, 6-P2, showed noncompetitive inhibition versus both substrates, ATP and fructose-6-P. Sorbitol-6-P, a dead-end inhibitor, exhibited competitive inhibition versus fructose-6-P and uncompetitive versus ATP. These results are in accordance with an Ordered Bi Bi reaction mechanism for both enzymes. In the case of Pfk-2, fructose-6-P would be the first substrate to bind to the enzyme, and fructose-1,6-P2 the last product to be released. For Pfk-2, ATP would be the first substrate to bind to the enzyme, and APD the last product to be released.     

High-throughput determination of mode of inhibition in lead identification and optimization

After finishing the primary high-throughput screening, the screening team is often faced with thousands of hits to be evaluated further. Effective filtering of these hits is crucial in identifying leads. Mode of inhibition (MOI) study is extremely useful in validating whether the observed compound activity is specific to the biological target. In this article, the authors describe a high-throughput MOI determination method for evaluating thousands of compounds using an existing screening infrastructure. Based on enzyme or receptor kinetics theory, the authors developed the method by measuring the ratio of IC(50) or percent inhibition at 2 carefully chosen substrate or ligand concentrations to define an inhibitor as competitive, uncompetitive, or noncompetitive. This not only facilitates binning of HTS hits according to their MOI but also greatly expands HTS utility in support of the medicinal chemistry team's lead optimization practice. Three case studies are presented to demonstrate how the method was applied successfully in 3 discovery programs targeting either an enzyme or a G-protein-coupled receptor.     

Mycophenolic acid and thiazole adenine dinucleotide inhibition of Tritrichomonas foetus inosine 5'-monophosphate dehydrogenase: implications on enzyme mechanism

Inosine 5'-monophosphate dehydrogenase (IMPDH) catalyzes the oxidation of inosine 5'-monophosphate (IMP) to xanthosine 5'-monophosphate (XMP) with the conversion of NAD to NADH. An ordered sequential mechanism where IMP is the first substrate bound and XMP is the last product released was proposed for Tritrichomonas foetus IMPDH on the basis of product inhibition studies. Thiazole adenine dinucleotide (TAD) is an uncompetitive inhibitor versus IMP and a noncompetitive inhibitor versus NAD, which suggests that TAD binds to both E-IMP and E-XMP. Mycophenolic acid is also an uncompetitive inhibitor versus IMP and noncompetitive versus NAD. Multiple-inhibitor experiments show that TAD and mycophenolic acid are mutually exclusive with each other and with NADH. Therefore, mycophenolic acid most probably binds to the dinucleotide site of T. foetus IMPDH. The mycophenolic acid binding site was further localized to the nicotinamide subsite within the dinucleotide site: mycophenolic acid was mutually exclusive with tiazofurin, but could form ternary enzyme complexes with ADP or adenosine diphosphate ribose. NAD inhibits the IMPDH reaction at concentrations greater than 3 mM. NAD substrate inhibition is uncompetitive versus IMP, which suggests that NAD inhibits by binding to E-XMP. TAD is mutually exclusive with both NAD and NADH in multiple-inhibitor experiments, which suggests that there is one dinucleotide binding site. The ordered mechanism predicts that multiple-inhibitor experiments with XMP and TAD, mycophenolic acid, or NAD should have an interaction constant (alpha) between 0 and 1. However, alpha was greater than 1 in all cases.(ABSTRACT TRUNCATED AT 250 WORDS)     

The pH dependence of binding of inhibitors to bovine adrenal tyrosine hydroxylase

The inhibition of purified bovine adrenal tyrosine hydroxylase by several product and substrate analogues has been studied to probe the kinetic mechanism. Norepinephrine, dopamine, and methylcatechol are competitive inhibitors versus tetrahydropterins and noncompetitive inhibitors versus tyrosine. 3-Iodotyrosine is an uncompetitive inhibitor versus tetrahydropterins and a competitive inhibitor versus tyrosine. The Ki value for 3-iodotyrosine depends on the tetrahydropterin used. These results are consistent with tetrahydropterin binding first to the free enzyme followed by binding of tyrosine. 5-Deaza-6-methyltetrahydropterin is a noncompetitive inhibitor versus tetrahydropterins and tyrosine. The effect of varying the concentration of tyrosine on the Ki value for 5-deaza-6-methyltetrahydropterin is consistent with the binding of this inhibitor to both the free enzyme and to an enzyme-dihydroxyphenylalanine complex. Dihydroxyphenylalanine also is a noncompetitive inhibitor versus tetrahydropterins and tyrosine; the effect of changing the fixed substrate is consistent with the binding of this inhibitor to both the free enzyme and to the enzyme-tetrahydropterin complex. The effect of pH on the Ki values was determined in order to measure the pKa values of amino acid residues involved in substrate binding. Tight binding of catechols requires that a group with a pKa value of 7.6 be deprotonated. Binding of 3-iodotyrosine involves two groups with pKa values of 7.5 and about 5.5, one of which must be protonated for binding. Binding of 5-deaza-6-methyltetrahydropterin requires that a group on the free enzyme with a pKa value of 6.1 be protonated. The Ki value for dihydroxyphenylalanine is relatively insensitive to pH, but the inhibition pattern changes from noncompetitive to competitive above pH 7.5, consistent with the measured pKa values for binding to the free enzyme and to the enzyme-tetrahydropterin complex.     

Kinetic mechanism of glutaminyl-tRNA synthetase from human placenta

The order of interaction of substrates and products with human placental glutaminyl-tRNA synthetase was investigated in the aminoacylation reaction by using the steady-state kinetic methods. The initial velocity patterns obtained from both the glutamine-ATP and glutamine-tRNA substrate pairs were intersecting, whereas ATP and tRNA showed double competitive substrate inhibition. Dead-end inhibition studies with an ATP analog, tripolyphosphate, showed uncompetitive inhibition when tRNA was the variable substrate. The product inhibition studies revealed that PPi was an uncompetitive inhibitor with respect to tRNA. The noncompetitive inhibition by AMP versus tRNA was converted to uncompetitive by increasing the concentration of glutamine from 0.05 to 0.5 mM. These and other kinetic patterns obtained from the present study, together with our earlier finding that this human enzyme catalyzed the ATP-PPi exchange reaction in the absence of tRNA, enable us to propose a unique two-step, partially ordered sequential mechanism, with tRNA as the leading substrate, followed by random addition of ATP and glutamine. The products may be released in the following order: AMP, PPi and then glutaminyl-tRNA. The proposed mechanism involves both a quarternary complex including all three substrates and the intermediary formation of an enzyme-bound aminoacyl adenylate, common to the usual sequential and ping-pong mechanisms, respectively, for other aminoacyl-tRNA synthetases.     

Steady-state approximation of enzyme activation and inhibition

This article deals with the effects of the initial concentration of effector (inhibitor or activator) on the steady-state approximation of enzyme kinetics. The results could be summarized as follows: (1) In competitive inhibition, the increase in the initial concentration of inhibitor led to the reduction of steady state time. (2) In noncompetitive and uncompetitive inhibitions, the steady state time was not changed with the increase in the initial concentration of inhibitor. (3) In nonessential activation, the increase in the initial concentration of activator led to the reduction of steadystate time. (4) It was specially noted that in nonessential activation, even if the reaction is in the steady-state, activation constant (K(A)) can not be determined exactly unless the initial concentration of activator is very small.     

Overall kinetic mechanism of saccharopine dehydrogenase (L-glutamate forming) from Saccharomyces cerevisiae

Kinetic studies were carried out for histidine-tagged saccharopine reductase from Saccharomyces cerevisiae at pH 7.0, suggesting a sequential mechanism with ordered addition of reduced nicotinamide adenine dinucleotide phosphate (NADPH) to the free enzyme followed by L-alpha-aminoadipate-delta-semialdehyde ( L-AASA) which adds in rapid equilibrium prior to l-glutamate in the forward reaction direction. In the reverse reaction direction, nicotinamide adenine dinucleotide phosphate (NADP) adds to the enzyme followed by addition of saccharopine. Product inhibition by NADP is competitive vs NADPH and noncompetitive vs alpha-AASA and L-glutamate, suggesting that the dinucleotide adds to the free enzyme prior to the aldehyde. Saccharopine is noncompetitive vs NADPH, alpha-AASA, and L-glutamate. In the direction of saccharopine oxidation, NADPH is competitive vs NADP and noncompetitive vs saccharopine, L-glutamate is noncompetitive vs both NADP and saccharopine, while L-AASA is noncompetitive vs saccharopine and uncompetitive vs NADP. The sequential mechanism is also corroborated by dead-end inhibition studies using analogues of AASA, L-glutamate, and saccharopine. 2-Amino-6-heptenoic acid was chosen as a dead-end analogue of L-AASA and is competitive vs AASA, uncompetitive vs NADPH, and noncompetitive vs L-glutamate. alpha-Ketoglutarate (alpha-Kg) serves as the dead-end analogue of L-glutamate and is competitive vs L-glutamate and uncompetitive vs L-AASA and NADPH. In the direction of saccharopine oxidation, N-oxalylglycine, L-pipecolic acid, L-leucine, alpha-ketoglutarate, glyoxylic acid, and L-ornithine were used as dead-end analogues of saccharopine and showed competitive inhibition vs saccharopine and uncompetitive inhibition vs NADP. The equilibrium constant for the reaction was measured at pH 7.0 by monitoring the change in absorbance of NADPH and is 200 M(-1). The value is in good agreement with the value determined using the Haldane relationship.     

A graphical method for determining inhibition parameters for partial and complete inhibitors.

A new simple graphical method is described for the determination of inhibition type and kinetic parameters of an enzyme reaction without any replot. The method consists of plotting experimental data as v/(vo--v) versus the reciprocal of the inhibitor concentration at different substrate concentrations, where v and vo represent the velocity in the presence and in the absence of the inhibitor respectively with a given concentration of the substrate. Partial inhibition gives straight lines that converge on the abscissa at a point away from the origin, whereas complete inhibition gives lines that go through the origin. The inhibition constants of enzymes and the reaction rate constant of the enzyme-substrate-inhibitor complex can be calculated from the abscissa and ordinate intercepts of the plot. The relationship between the slope of the plot and the substrate concentration shows characteristic features depending on the inhibition type: for partial competitive inhibition, the straight line converging on the abscissa at--Ks, the dissociation constant of the enzyme-substrate complex; for non-competitive inhibition, a constant slope independent of the substrate concentration; for uncompetitive inhibition, a hyperbola decreasing with the increase in the substrate concentration; for mixed-type inhibition, a hyperbola increasing with the increase in the substrate concentration. The properties of the replot are useful in confirmation of the inhibition mechanism.     

A new plot for multiple enzyme inhibition

A new graphical method is described for analyzing the results of multiple inhibition experiments. It is applicable to either single- or multi-substrate enzyme systems obeying Michaelis-Menten kinetics and is valid irrespective of the type of inhibition (competitive, noncompetitive, uncompetitive, mixed). According to this method, mutually exclusive inhibitor binding gives rise to lines that converge on the vertical axis, whereas mutually nonexclusive inhibitors yield lines that intersect to the left of the vertical axis. It has been pointed out that the inhibitor interaction factor can be determined directly from multiple inhibition experiments only if at least one of the inhibitors is noncompetitive. When this is the case, the present plot provides a very simple way of determining the inhibitor interaction factor from the coordinates of the intersection point.     

Kinetic mechanism of Ascaris suum phosphofructokinase desensitized to allosteric modulation by diethylpyrocarbonate modification

The kinetic mechanism of phosphofructokinase has been determined at pH 8 for native enzyme and pH 6.8 for an enzyme desensitized to allosteric modulation by diethylpyrocarbonate modification. In both cases, the mechanism is predominantly steady state ordered with MgATP binding first in the direction of fructose 6-phosphate (F6P) phosphorylation and rapid equilibrium random in the direction of MgADP phosphorylation. This is a unique kinetic mechanism for a phosphofructokinase. Product inhibition by MgADP is competitive versus MgATP and noncompetitive versus F6P while fructose 1,6-bisphosphate (FBP) is competitive versus fructose 6-phosphate and uncompetitive versus MgATP. The uncompetitive pattern obtained versus F6P is indicative of a dead-end E.MgATP.FBP complex. Fructose 6-phosphate is noncompetitive versus either FBP or MgADP. Dead-end inhibition by arabinose 5-phosphate or 2,5-anhydro-D-mannitol 6-phosphate is uncompetitive versus MgATP corroborating the ordered addition of MgATP prior to F6P. In the direction of MgADP phosphorylation, inhibition by anhydromannitol 1,6-bisphosphate is noncompetitive versus MgADP, while Mg-adenosine 5'(beta, gamma-methylene)triphosphate is noncompetitive versus FBP. Anhydromannitol 6-phosphate is a slow substrate, while anhydroglucitol 6-phosphate is not. This suggests that the enzyme exhibits beta-anomeric specificity.     

Enzymatic synthesis of polymethylated flavonols in Chrysosplenium americanum. II. Substrate interaction and product inhibition studies of flavonol 3-, 6-, and 4'-O-methyltransferases

The steady-state kinetic behavior of three position-specific O-methyltransferases (3-, 4'-, and 6-OMTs) was compared with reference to substrate inhibition patterns in Chrysosplenium americanum. The 6-OMT was severely inhibited by the flavonoid substrate at concentrations close to Km, whereas the other two enzymes were less affected by their respective flavonoid substrates. Substrate interaction kinetics for the 6-OMT gave converging lines consistent with a sequential binding mechanism, whereas the data generated for the 3- and 4'-OMTs could be fitted to the equation for a ping-pong mechanism or to that of a sequential binding mechanism where Kia was much smaller Ka. More information on the mechanism of reaction was obtained from product inhibition studies. The three enzymes exhibited competitive inhibition patterns between S-adenosyl-L-methionine (SAM) and S-adenosyl-L-homocysteine (SAH), whereas other patterns were either noncompetitive or uncompetitive. The steady-state kinetic properties of the 3-, 4'-, and 6-OMTs were consistent with a sequential ordered reaction mechanism, in which SAM and SAH were leading reaction partners and included an abortive EQB complex. Product inhibition constants were sufficiently low to suggest that these may be important in regulating the pathway of polymethylated flavonoid synthesis. It was suggested that due to their greater sensitivity to inhibition by SAH, the OMTs involved in earlier steps of the methylation sequence may regulate the rate of synthesis of final products in Chrysosplenium.     

Overall kinetic mechanism of saccharopine dehydrogenase from Saccharomyces cerevisiae

Kinetic data have been measured for the histidine-tagged saccharopine dehydrogenase from Saccharomyces cerevisiae, suggesting the ordered addition of nicotinamide adenine dinucleotide (NAD) followed by saccharopine in the physiologic reaction direction. In the opposite direction, the reduced nicotinamide adenine dinucleotide (NADH) adds to the enzyme first, while there is no preference for the order of binding of alpha-ketoglutarate (alpha-Kg) and lysine. In the direction of saccharopine formation, data also suggest that, at high concentrations, lysine inhibits the reaction by binding to free enzyme. In addition, uncompetitive substrate inhibition by alpha-Kg and double inhibition by NAD and alpha-Kg suggest the existence of an abortive E:NAD:alpha-Kg complex. Product inhibition by saccharopine is uncompetitive versus NADH, suggesting a practical irreversibility of the reaction at pH 7.0 in agreement with the overall K(eq). Saccharopine is noncompetitive versus lysine or alpha-Kg, suggesting the existence of both E:NADH:saccharopine and E:NAD:saccharopine complexes. NAD is competitive versus NADH, and noncompetitive versus lysine and alpha-Kg, indicating the combination of the dinucleotides with free enzyme. Dead-end inhibition studies are also consistent with the random addition of alpha-Kg and lysine. Leucine and oxalylglycine serve as lysine and alpha-Kg dead-end analogues, respectively, and are uncompetitive against NADH and noncompetitive against alpha-Kg and lysine, respectively. Oxaloacetate (OAA), pyruvate, and glutarate behave as dead-end analogues of lysine, which suggests that the lysine-binding site has a higher affinity for keto acid analogues than does the alpha-Kg site or that dicarboxylic acids have more than one binding mode on the enzyme. In addition, OAA and glutarate also bind to free enzyme as does lysine at high concentrations. Glutarate gives S-parabolic noncompetitive inhibition versus NADH, indicating the formation of a E:(glutarate)2 complex as a result of occupying both the lysine- and alpha-Kg-binding sites. Pyruvate, a slow alternative keto acid substrate, exhibits competitive inhibition versus both lysine and alpha-Kg, suggesting the combination to the E:NADH:alpha-Kg and E:NADH:lysine enzyme forms. The equilibrium constant for the reaction has been measured at pH 7.0 as 3.9 x 10(-7) M by monitoring the change in NADH upon the addition of the enzyme. The Haldane relationship is in very good agreement with the directly measured value.     

Kinetic mechanism of the serine acetyltransferase from Haemophilus influenzae

The kinetic mechanism of serine acetyltransferase from Haemophilus influenzae was studied in both reaction directions. The enzyme catalyzes the conversion of acetyl CoA and L-serine to O-acetyl-L-serine (OAS) and coenzyme A (CoASH). In the direction of L-serine acetylation, an equilibrium ordered mechanism is assigned at pH 6.5. The initial velocity pattern in the absence of added inhibitors is best described by a series of lines converging on the ordinate when L-serine is varied at different fixed levels of acetyl CoA. The initial velocity pattern at pH 7.5 is also intersecting, but the lines are nearly parallel. Product inhibition by OAS is noncompetitive against acetyl CoA, while it is uncompetitive against L-serine. Product inhibition by L-serine in the reverse reaction direction is noncompetitive with respect to both OAS and CoASH. Glycine and S-methyl-L-cysteine (SMC) were used as dead-end analogs of L-serine and OAS, respectively. Glycine is competitive versus L-serine and uncompetitive versus acetyl CoA, while SMC is competitive against OAS and uncompetitive against CoASH. Desulfo-CoA was used as a dead-end analog of both acetyl CoA and CoASH, and is competitive versus both substrates in the direction of L-serine acetylation; while it is competitive against CoASH and noncompetitive against OAS in the direction of CoASH acetylation. All of the above kinetic parameters are consistent with those predicted for an ordered mechanism at pH 6.5 with the exception of the uncompetitive inhibition by OAS vs. serine. The latter inhibition pattern suggests combination of OAS with the central E:acetyl CoA:serine complex. Cysteine is known to regulate its own biosynthesis at the level of SAT. As a dead-end inhibitor, L-cysteine is competitive against both substrates in both reaction directions. These results are discussed in terms of the mechanism of regulation.     

Plant aspartate transcarbamylase: kinetic properties of the enzyme from mung bean (Phaseolus aureus) seedlings

Aspartate transcarbamylase (EC 2.1.3.2) catalyzes the bi substrate reaction—carbamyl phosphate+ L-aspartate ? carbamyl aspartate ? phosphate, The order of addition of substrates and release of products for the homogeneous aspartate transcarbamylase fromPhaseolus aureuss eedlings has been investigated by using the kinetic methods of analysis. p ]Initial velocity studies indicated that the mechanism might be a sequential one. Product inhibition studies showed that phosphate was a linear competitive inhibitor with respect to carbamyl phosphate and was anS (slope) andI (intercept) linear noncompetitive inhibitor with respect to aspartate. Carbamyl aspartate was a noncompetitive inhibitor with respect to both the substrates. These inhibition patterns agreed with an ordered mechanism of reaction with carbamyl phosphate as the leading substrate and phosphate as the last product to leave the enzyme surface. The presence of dead end complexes and the rapid equilibrium random mechanism were ruled out by the absence of inhibition by the substrate(s) and the linear replot slopevs. the inhibitor concentration. Acetyl phosphate, an analog ue of carbamyl phosphate was a non-competitive inhibitor with respect to aspartate. This result could be explained both in terms of an ordered as well as a random mechanism. On the other hand, succinate, an analog ue of aspartate was an uncompetitive inhibitor with respect to carbamyl phosphate, indicating that the mechanism was ordered. p ]The transition state analog ue, N-(phosphonoacetyl)-L-aspartate, binds much more tightly than either of the two substrates. This analog ue was a linear competitive inhibitor with respect to carbamyl phosphate and a linear noncompetitive inhibitor with respect to aspartate. These results are compatible with an ordered mechanism rather than a random one.     

On the use of apparent kinetic parameters for immobilized enzyme with noncompetitive substrate inhibition

The use of a simple rate equation with apparent parameters to describe the kinetic behavior of an immobilized enzyme with noncompetitive substrate inhibition was assessed. To do so, the reaction rate was calculated as a function of the interfacial substrate concentration, and the results were used to identify the apparent kinetic parameters by nonlinear regression. This procedure was repeated for different values of the diffusional constraints and of the inhibition constant. The equation using apparent parameters can describe the global kinetic behavior, provided that the diffusional and inhibitory constraints are not too high. When the constraints are high, a Michaelis-Menten equation can be used to model the kinetics for interfacial concentrations lower than the concentration leading to the maximum reaction rate.     

NADP(+)-dependent D-xylose dehydrogenase from pig liver. Purification and properties.

An NADP(+)-dependent D-xylose dehydrogenase from pig liver cytosol was purified about 2000-fold to apparent homogeneity with a yield of 15% and specific activity of 6 units/mg of protein. An Mr value of 62,000 was obtained by gel filtration. PAGE in the presence of SDS gave an Mr value of 32,000, suggesting that the native enzyme is a dimer of similar or identical subunits. D-Xylose, D-ribose, L-arabinose, 2-deoxy-D-glucose, D-glucose and D-mannose were substrates in the presence of NADP+ but the specificity constant (ratio kcat./Km(app.)) is, by far, much higher for D-xylose than for the other sugars. The enzyme is specific for NADP+; NAD+ is not reduced in the presence of D-xylose or other sugars. Initial-velocity studies for the forward direction with xylose or NADP+ concentrations varied at fixed concentrations of the nucleotide or the sugar respectively revealed a pattern of parallel lines in double-reciprocal plots. Km values for D-xylose and NADP+ were 8.8 mM and 0.99 mM respectively. Dead-end inhibition studies to confirm a ping-pong mechanism showed that NAD+ acted as an uncompetitive inhibitor versus NADP+ (Ki 5.8 mM) and as a competitive inhibitor versus xylose. D-Lyxose was a competitive inhibitor versus xylose and uncompetitive versus NADP+. These results fit better to a sequential compulsory ordered mechanism with NADP+ as the first substrate, but a ping-pong mechanism with xylose as the first substrate has not been ruled out. The presence of D-xylose dehydrogenase suggests that in mammalian liver D-xylose is utilized by a pathway other than the pentose phosphate pathway.