Kinetics of the reaction between muscle glycogen phosphorylase B and glycogen

Kinetics of glycogen binding by glycogen phosphorylase b has been studied by stopped flow and temperature jump methods. This reaction is followed by increase in light scattering whose amplitude depends upon the enzyme binding sites concentration of glycogen particles occupied by the enzyme. It has been shown that the complex formation has the first order with respect to enzyme and glycogen concentrations. Relaxation kinetics is compatible with proposed bimolecular reaction scheme. Microscopic rate constants of the forward and reverse reactions of glycogen binding by glycogen phosphorylase b are determined in temperature range from 12,7 to 30 degrees C. The possibility of diffusional control of the binding rate is discussed.     

Interaction of muscle glycogen phosphorylase B with F-actin

The binding of rabbit muscle glycogen phosphorylase b to F-actin has been studied by sedimentation in analytical centrifuge in 10 mM Tris-acetate buffer pH 6.8 at 20 degrees C. The adsorption capacity of F-actin is equal to (7.8 +/- 0.9) X 10(-7) mole of glycogen phosphorylase b per 1 g of F-actin; the microscopic dissociation constant for the glycogen phosphorylase-F-actin complex is (5.4 +/- 0.5) X 10(-7) M. It was found that the allosteric activator, AMP, facilitates the adsorption of glycogen phosphorylase b on F-actin, whereas the substrate, Pi, and the inhibitor, ATP, cause an opposite effect.     

Binding of vitamin B2 and its coenzyme forms by muscle glycogen phosphorylase b

Binding of vitamin B2 and its coenzyme forms by glycogen phosphorylase b was studied by sedimentation velocity and sedimentation equilibrium methods. Microscopic dissociation constants for complexes of the enzyme with riboflavin, FMN and FAD were found to be 12.5, 6.8 and 18.1 microM, respectively (0.1 M KCl, pH 6.8, 20 degrees C). We revealed also that glucose 1-phosphate, glycogen and AMP decreased the affinity of the enzyme for FMN.     

A tentative mechanism of the ternary complex formation between phosphorylase kinase, glycogen phosphorylase b and glycogen

The kinetics of rabbit skeletal muscle phosphorylase kinase interaction with glycogen has been studied. At pH 6.8 the binding of phosphorylase kinase to glycogen proceeds only in the presence of Mg2+, whereas at pH 8.2 formation of the complex occurs even in the absence of Mg2+. On the other hand, the interaction of phosphorylase kinase with glycogen requires Ca2+ at both pH values. The initial rate of the complex formation is proportional to the enzyme and glycogen concentrations, suggesting the formation of the complex with stoichiometry 1:1 at the initial step of phosphorylase kinase binding by glycogen. According to the kinetic and sedimentation data, the substrate of the phosphorylase kinase reaction, glycogen phosphorylase b, favors the binding of phosphorylase kinase with glycogen. We suggest a model for the ordered binding of phosphorylase b and phosphorylase kinase to the glycogen particle that explains the increase in the tightness of phosphorylase kinase binding with glycogen in the presence of phosphorylase b.     

Effect of osmolytes on the interaction of flavin adenine dinucleotide with muscle glycogen phosphorylase b

The effect of three osmolytes, trimethylamine N-oxide (TMAO), betaine and proline, on the interaction of muscle glycogen phosphorylase b with allosteric inhibitor FAD has been examined. In the absence of osmolyte, the interaction is described by a single intrinsic dissociation constant (17.8 microM) for two equivalent and independent binding sites on the dimeric enzyme. However, the addition of osmolytes gives rise to sigmoidal dependencies of fractional enzyme-site saturation upon free inhibitor concentration. The source of this cooperativity has been shown by difference sedimentation velocity to be an osmolyte-mediated isomerization of phosphorylase b to a smaller dimeric state with decreased affinity for FAD. These results thus have substantiated a previous inference that the tendency for osmolyte-enhanced self-association of dimeric glycogen phosphorylase b in the presence of AMP was being countered by the corresponding effect of molecular crowding on an isomerization of dimer to a smaller, nonassociating state.     

Kinetics of the interaction of rabbit skeletal muscle phosphorylase kinase with glycogen

The kinetics of the interaction of rabbit skeletal muscle phosphorylase kinase with glycogen was studied by the turbidimetric method at pH 6.8 and 8.2. Binding of phosphorylase kinase by glycogen occurs only in the presence of Ca2+ and Mg2+. The initial rate of complex formation is proportional to the enzyme and polysaccharide concentration; this suggests the formation of a complex with 1:1 stoichiometry in the initial step of phosphorylase kinase binding by glycogen. The kinetic data suggest that phosphorylase kinase substrate--glycogen phosphorylase b--favors the binding of phosphorylase kinase with glycogen. This conclusion is supported by direct experiments on the influence of phosphorylase b on the interaction of phosphorylase kinase with glycogen using analytical sedimentation analysis. The kinetic curves of the formation of the complex of phosphorylase kinase with glycogen obtained in the presence of ATP are characterized by a lag period. Preincubation of phosphorylase kinase with ATP in the presence of Ca2+ and Mg2+ causes the complete disappearance of the lag period. On changing the pH from 6.8 to 8.2, the rate of phosphorylase kinase binding by glycogen is appreciably increased, and complex formation becomes possible even in the absence of Mg2+. A model of phosphorylase kinase and phosphorylase b adsorption on the surface of the glycogen particle explaining the increase in the strength of phosphorylase kinase binding with glycogen in the presence of phosphorylase b is proposed.     

Kinetic study on the dimer-tetramer interconversion of glycogen phosphorylase a.

Kinetic theory of dissociating enzyme systems has been applied to a study of the dimer-tetramer interconversion of glycogen phosphorylase a. All kinetic constants for the dissociating-associating reaction of phosphorylase a have been determined. The results indicate that (a) the presence of glucose-1-phosphate has no influence on either the rate of dissociation or the rate of association, and hence does not shift the dimer-tetramer equilibrium of phosphorylase a; (b) the binding og glycogen to the enzyme decreases the association rate of the dimer to form the tetramer, but has no effect on the dissociation rate of the tetramer; (c) both the dimeric and tetrameric form of phosphorylase a can bind glycogen, but the tetrameric form has a lower affinity for glycogen and is catalytically inactive.     

Interaction of muscle glycogen phosphorylase b with nicotinic acid, nicotinamide, N-nicotinyl-gamma-aminobutyric acid and nicotinamide coenzymes

The inhibitory action of nicotinic acid, nicotinamide, N-nicotinoyl-gamma-aminobutyric acid, NAD, NADH, NADP, and NADPH on the rabbit skeletal muscle glycogen phosphorylase b has been studied. The inhibition is reversible and positively cooperative (the value of Hill coefficients were determined for the following compounds: nicotinic acid (28 mM; 1.4), nicotinamide (4.4 mM; 1.2), N-nicotinoyl-gamma-aminobutyric acid (9.5 mM; 1.4), NAD (4.4 mM; 1.2), NADH (0.93 mM; 1.2). NADH-binding site of glycogen phosphorylase b subunit was characterized by the sedimentation velocity method. Microscopic dissociation constant was found to be 86 +/- 9 microM (pH 6.8; 20 degrees C). AMP-induced association of glycogen phosphorylase b is hindered by NADH.     

Interaction of muscle glycogen phosphorylase B with methotrexate, folic and folinic acids

The interaction of rabbit skeletal muscle glycogen phosphorylase b with methotrexate, folic and folinic acids has been studied. Microscopic dissociation constant for the glycogen phosphorylase b--methotrexate complex determined by analytical ultracentrifugation is 0.43 mM. A subunit of glycogen phosphorylase b is shown to have two sites for methotrexate binding. AMP and FMN diminish the affinity of glycogen phosphorylase b to methotrexate, whereas glycogen does not influence the methotrexate binding to the enzyme. Methotrexate, folic and folinic acids are found to be inhibitors of the muscle glycogen phosphorylase b. The inhibition is reversible and characterized by positive kinetic cooperativity (the Hill coefficient exceeds one unity). The value of the pterin concentration causing two-fold diminishing of the enzymatic reaction rate increased in the order: folic acid (0.65 mM), methotrexate (1.01 mM), folinic acid (3.7 mM). The antagonism between methotrexate, folic and folinic acids, on the one hand, and AMP and FMN, on the other, is revealed for their combined action.     

Dissociative mechanism of thermal denaturation of rabbit skeletal muscle glycogen phosphorylase b

The thermal stability of rabbit skeletal muscle glycogen phosphorylase b was characterized using enzymological inactivation studies, differential scanning calorimetry, and analytical ultracentrifugation. The results suggest that denaturation proceeds by the dissociative mechanism, i.e., it includes the step of reversible dissociation of the active dimer into inactive monomers and the following step of irreversible denaturation of the monomer. It was shown that glucose 1-phosphate (substrate), glucose (competitive inhibitor), AMP (allosteric activator), FMN, and glucose 6-phosphate (allosteric inhibitors) had a protective effect. Calorimetric study demonstrates that the cofactor of glycogen phosphorylase-pyridoxal 5'-phosphate-stabilizes the enzyme molecule. Partial reactivation of glycogen phosphorylase b preheated at 53 degrees C occurs after cooling of the enzyme solution to 30 degrees C. The fact that the rate of reactivation decreases with dilution of the enzyme solution indicates association of inactive monomers into active dimers during renaturation. The allosteric inhibitor FMN enhances the rate of phosphorylase b reactivation.     

The control of glycogen metabolism in yeast. 1. Interconversion in vivo of glycogen synthase and glycogen phosphorylase induced by glucose, a nitrogen source or uncouplers

The addition of glucose to a suspension of yeast initiated glycogen synthesis and ethanol formation. Other effects of the glucose addition were a transient rise in the concentration of cyclic AMP and a more prolonged increase in the concentration of hexose 6-monophosphate and of fructose 2,6-bisphosphate. The activity of glycogen synthase increased about 4-fold and that of glycogen phosphorylase decreased 3-5-fold. These changes could be reversed by the removal of glucose from the medium and induced again by a new addition of the sugar. These effects of glucose were also obtained with glucose derivatives known to form the corresponding 6-phosphoester. Similar changes in glycogen synthase and glycogen phosphorylase activity were induced by glucose in a thermosensitive mutant deficient in adenylate cyclase (cdc35) when incubated at the permissive temperature of 26 degrees C, but were much more pronounced at the nonpermissive temperature of 35 degrees C. Under the latter condition, glycogen synthase was nearly fully activated and glycogen phosphorylase fully inactivated. Such large effects of glucose were, however, not seen in another adenylate-cyclase-deficient mutant (cyr1), able to incorporate exogenous cyclic AMP. When a nitrogen source or uncouplers were added to the incubation medium after glucose, they had effects on glycogen metabolism and on the activity of glycogen synthase and glycogen phosphorylase which were directly opposite to those of glucose. By contrast, like glucose, these agents also caused, under most experimental conditions, a detectable rise in cyclic AMP concentration and a series of cyclic-AMP-dependent effects such as an activation of phosphofructokinase 2 and of trehalase and an increase in the concentration of fructose 2,6-bisphosphate and in the rate of glycolysis. Under all experimental conditions, the rate of glycolysis was proportional to the concentration of fructose 2,6-bisphosphate. Uncouplers, but not a nitrogen source, also induced an activation of glycogen phosphorylase and an inactivation of glycogen synthase when added to the cdc35 mutant incubated at the restrictive temperature of 35 degrees C without affecting cyclic AMP concentration.     

Interaction of muscle glycogen phosphorylase B with flavin-adenine dinucleotide and its analogs

The inhibition of rabbit skeletal muscle glycogen phosphorylase b by FAD and its analogues with substitutes in the position 8 has been studied. The value of half-saturation, [I]0,5, for inhibitors increases in the following order: FAD (44 microM), 8 alpha-hydroxy-FAD (60 microM), 8-dimethylamino (nor)-FAD (69 microM), 8 alpha-(N-acetyl-L-cystein-S-yl)-FAD (106 microM). From the comparison of these values with those obtained earlier for FMN analogues, it follows that in the case of FAD the half-saturation value is less sensitive to modification of the position 8 in the flavin isoalloxazine ring. The existence of the glycogen phosphorylase b FAD-complex has been proved by the spectrophotometry and sedimentation methods. The positions of maxima of optical absorption of the enzyme-bound FAD in the 300-500 nm region are identical with corresponding positions for FMN. FAD has been shown to hinder the AMP-induced transition of dimeric form of the enzyme to tetrameric one.     

Interaction of flavin mononucleotide with dimeric and tetrameric forms of muscle phosphorylase beta.

Interaction of flavin mononucleotide (FMN) with dimeric and tetrameric forms of rabbit muscle glycogen phosphorylase beta has been studied under the conditions when allosteric activator binding sites are saturated by AMP (1 mM AMP; pH 6.8; 17 degrees C). Simultaneous use of schlieren optical system and photoelectric scanning absorption optical system of analytical ultracentrifuge Spinco, model E, makes it possible to register the oligomeric state of the enzyme and calculate the degree of saturation of individual oligomeric enzyme forms by FMN. The apparent association constant for the equilibrium dimer in equilibrium with tetramer decreased with increasing FMN concentration. The microscopic dissociation constants for the complexes of dimeric and tetrameric forms of glycogen phosphorylase beta with FMN have been found to be equal to 10 and 79 microM, respectively.     

Combined kinetic mechanism describing activation and inhibition of muscle glycogen phosphorylase b by adenosine 5'-monophosphate

The kinetic analysis of the glycogen chain growth reaction catalyzed by glycogen phosphorylase b from rabbit skeletal muscle has been carried out over a wide range of concentrations of AMP under the saturation of the enzyme by glycogen. The applicability of 23 different variants of the kinetic model involving the interaction of AMP and glucose 1-phosphate binding sites in the dimeric enzyme molecule is considered. A kinetic model has been proposed which assumes: (i) the independent binding of one molecule of glucose 1-phosphate in the catalytic site on the one hand, and AMP in both allosteric effector sites and both nucleoside inhibitor sites of the dimeric enzyme molecule bound by glycogen on the other hand; (ii) the binding of AMP in one of the allosteric effector sites results in an increase in the affinity of other allosteric effector site to AMP; (iii) the independent binding of AMP to the nucleoside inhibitor sites of the dimeric enzyme molecule; (iv) the exclusive binding of the second molecule of glucose 1-phosphate in the catalytic site of glycogen phosphorylase b containing two molecules of AMP occupying both allosteric effector sites; and (v) the catalytic act occurs exclusively in the complex of the enzyme with glycogen, two molecules of AMP occupying both allosteric effector sites, and two molecules of glucose 1-phosphate occupying both catalytic sites.     

The interplay between covalent and non-covalent regulation of glycogen phosphorylase. The role of different effectors of phosphorylase b on the phosphorylase b to a conversion rate.

Glycogen phosphorylase b is converted to glycogen phosphorylase a, the covalently activated form of the enzyme, by phosphorylase kinase. Glc-6-P, which is an allosteric inhibitor of phosphorylase b, and glycogen, which is a substrate of this enzyme, are already known to have respectively an inhibiting and activating effect upon the rate of conversion from phosphorylase b to phosphorylase a by phosphorylase kinase. In the former case, this effect is due to the binding of glucose-6-phosphate to glycogen phosphorylase b. In order to investigate whether or not the rate of conversion of glycogen phosphorylase b to phosphorylase a depends on the conformational state of the b substrate, we have tested the action of the most specific effectors of glycogen phosphorylase b activity upon the rate of conversion from phosphorylase b to phosphorylase a at 0 degrees C and 22 degrees C : AMP and other strong activators, IMP and weak activators, Glc-6-P, glycogen. Glc-1-P and phosphate. AMP and strong activators have a very important inhibitory effect at low temperature, but not at room temperature, whereas the weak activators have always a very weak, if even existing, inhibitory effect at both temperatures. We confirmed the very strong inhibiting effect of Glc-6-P at both temperatures, and the strong activating effect of glycogen. We have shown that phosphate has a very strong inhibitory effect, whereas Glc-1-P has an activating effect only at room temperature and at non-physiological concentrations. The concomitant effects of substrates and nucleotides have also been studied. The observed effects of all these ligands may be either direct ones on phosphorylase kinase, or indirect ones, the ligand modifying the conformation of phosphorylase b and its interaction with phosphorylase kinase. Since we have no control experiments with a peptidic fragment of phosphorylase b, the interpretation of our results remains putative. However, the differential effects observed with different nucleotides are in agreement with the simple conformational scheme proposed earlier. Therefore, it is suggested that phosphorylase kinase recognizes differently the different conformations of glycogen phosphorylase b. In agreement with such an explanation, it is shown that the inhibiting effect of AMP is mediated by a slow isomerisation which has been previously ascribed to a quaternary conformational change of glycogen phosphorylase b. The results presented here (in particular, the important effect of glycogen and phosphate) are also discussed in correlation with the physiological role of the different ligands as regulatory signals in the in vivo situation where phosphorylase is inserted into the glycogen particle.     

Ultracentrifugal studies of the effect of molecular crowding by trimethylamine N-oxide on the self-association of muscle glycogen phosphorylase b.

The suitability of sedimentation equilibrium for characterizing the self-association of muscle glycogen phosphorylase b has been reappraised. Whereas sedimentation equilibrium distributions for phosphorylase b in 40 mM Hepes buffer (pH 6.8) supplemented with 1 mM AMP signify a lack of chemical equilibrium attainment, those in buffer supplemented additionally with potassium sulfate conform with the requirements of a dimerizing system in chemical as well as sedimentation equilibrium. Because the rate of attainment of chemical equilibrium under the former conditions is sufficiently slow to allow resolution of the dimeric and tetrameric enzyme species by sedimentation velocity, this procedure has been used to examine the effects of thermodynamic nonideality arising from molecular crowding by trimethylamine N-oxide on the self-association behaviour of phosphorylase b. In those terms the marginally enhanced extent of phosphorylase b self-association observed in the presence of high concentrations of the cosolute is taken to imply that the effects of thermodynamic nonideality on the dimer-tetramer equilibrium are being countered by those displacing the T<==>R isomerization equilibrium for dimer towards the smaller, nonassociating T state. Because the R state is the enzymically active form, an inhibitory effect is the predicted consequence of molecular crowding by high concentrations of unrelated solutes. Thermodynamic nonideality thus provides an alternative explanation for the inhibitory effects of high concentrations of glycerol, sucrose and ethylene glycol on phosphorylase b activity, phenomena that have been attributed to extremely weak interaction of these cryoprotectants with the T state of the enzyme.     

Interaction of muscle glycogen phosphorylase B with flavin mononucleotide and its analogs

The inhibition of rabbit skeletal muscle glycogen phosphorylase B by FMN and its analogues with substituents in the positions 6 and 8 has been studied. Inhibiting action of FMN is manifested in reducing the limiting rate of enzymic reaction and in increasing the half-saturation concentration of AMP. The inhibitor half-saturation values (in microM) increase in the following order: FMN (13,5), 6-bromo-FMN (27), 8 alpha-hydroxy-FMN (30), 8-dimethylamino(nor)-FMN (33), 6-(N-acetyl-L-cysteine-S-yl)-FMN (44), 6-amino-FMN (96), 8-hydroxy(nor)-FMN (109), 6-nitro-FMN (170), 8 alpha-(N-acetyl-L-cysteine-S-yl)-FMN (260). The existence of the glycogen phosphorylase B complexes with FMN or its analogues has been proved by spectrophotometry and sedimentation in analytical ultracentrifuge. FMN has been shown to hinder AMP-induced transition of dimeric form of the enzyme to tetrameric one. AMP at high concentrations has been found to inhibit glycogen phosphorylase B.     

The control of glycogen metabolism in yeast. 2. A kinetic study of the two forms of glycogen synthase and of glycogen phosphorylase and an investigation of their interconversion in a cell-free extract

Two interconvertible forms of glycogen synthase and glycogen phosphorylase, one active (a) or the other less active (b), were predominantly present in a thermosensitive adenylate-cyclase-deficient mutant that had been preincubated at the restrictive temperature of 35 degrees C, either in the presence or in the absence of glucose. Glycogen phosphorylase was at least 20-fold less active after incubation of the cells in the presence of glucose, but this residual activity had kinetic properties identical to those of the active form of enzyme, obtained after incubation in the absence of glucose; this suggests that the b form might be completely inactive and that the low activity measured after glucose treatment must be attributed to a residual amount of phosphorylase a. By contrast, the kinetic properties of the two forms of glycogen synthase were very different. When measured in the absence of glucose 6-phosphate, the two forms of enzyme had a similar affinity for UDP-Glc but differed essentially by their Vmax. Glucose 6-phosphate had no effect on synthase a, but increased both Vmax and Km of synthase b; these effects, however, were in great part counteracted by sulfate and by inorganic phosphate, the latter also having the property of increasing the Km of the a form, without affecting Vmax. It was estimated that at physiological concentrations of substrates and effectors, synthase a was about 20-fold more active than synthase b. When an extract of cells that had been preincubated in the absence of glucose was gel-filtered and then incubated at 30 degrees C, phosphorylase was progressively fully inactivated and synthase was partially activated; these reactions were severalfold faster and, in the case of glycogen synthase, more complete in the presence of 10 mM glucose 6-phosphate. When a gel-filtered extract of cells that had been preincubated in the presence of glucose was incubated at 30 degrees C in the presence of ATP-Mg and EGTA, phosphorylase became activated and synthase was inactivated; the first of these two reactions was severalfold stimulated by micromolar concentrations of Ca2+, whereas both reactions were completely inhibited by 10 mM glucose 6-phosphate and only slightly and irregularly stimulated by cyclic AMP.     

Interaction of muscle glycogen phosphorylase b with riboflavin, its tetraacetyl derivative and their analogs

The interaction of rabbit skeletal muscle glycogen phosphorylase b with riboflavin, 2',3',4',5'-tetraacetylriboflavin and their analogues, containing different substituents in the positions 6, 8 and 8 alpha, has been studied. Dissociation constant for the complex of the enzyme and riboflavin was determined to be 12.5 microM (pH 6.8; 20 degrees C) by sedimentation velocity method. Riboflavin and its analogues have been found to inhibit glycogen phosphorylase b. The inhibitor half-saturation concentration values increase in the following order: riboflavin (18 microM), 8-methoxy(nor)rifoblavin (23 microM), 8 alpha-bromo-2',3',4',5'-tetraacetylriboflavin (40 microM), 6-bromoriboflavin (40 microM), 8 alpha-hydroxyriboflavin (60 microM), 8-hydroxy(nor)riboflavin (90 microM), 8 alpha-(gamma-carboxypropylamino-2',3',4',5'-tetraacetylriboflav in (90 microM), 8 alpha-[p-(5-ethyl-1,3,4-thiodiazol-2-ylsulfamido)phenylamino ]- 2',3',4',5'-tetraacetylriboflavin (100 microM), 8 alpha-(L-methionyno)-2',3',4',5'-tetraacetylriboflavin (120 microM), 8 alpha-[p-(thiazol-2-ylsulfamido)phenylamino]- 2',3',4',5'-tetraacetylriboflavin (140 microM), 8 alpha-(p-sulfamidophenylamino)-2',3',4',5'-tetraacetylriboflavi n (180 microM), 8 alpha-(p-carboxyphenylamino)-2',3',4',5'-tetraacetylriboflavin+ ++ (210 microM), 2',3',4',5'-tetraacetylriboflavin (250 microM), 8 alpha-(L-homoserino)-2',3',4',5'-tetraacetylriboflavin (340 microM), 8 alpha-(L-glutamo)-2',3',4',5'-tetraacetylriboflavin (360 microM). The existence of glycogen phosphorylase b complexes with riboflavin and its analogues has been proved by methods of absolute and difference spectrophotometry.     

AMP and IMP binding to glycogen phosphorylase b. A calorimetric and equilibrium dialysis study

Reaction microcalorimetry and equilibrium dialysis have been used to study the binding of AMP and IMP to glycogen phosphorylase b (EC 2.4.1.1) at 25 degrees C and pH 6.9. The combination of both techniques has enabled us to obtain some of the thermodynamic parameters for these binding processes. Four binding sites were found to be present in the dimeric active enzyme for both AMP and IMP. The binding to two high-affinity sites, which, in our opinion, correspond to the activator sites, seems to be cooperative. The two low-affinity sites, which would then correspond to the inhibitor sites, appear to be independent when the nucleotides bind to the enzyme. The negative delta G0 of binding/site at 25 degrees C is the result in all cases of a balance between negative enthalpy and entropy changes. The large differences in delta H and delta S0 for the binding of AMP to the activator sites (-27 and -70 kJ mol-1; -22 and -150 J X K-1 mol-1) suggest the existence of rather extensive conformational changes taking place in phosphorylase b on binding with the allosteric activator. Whereas the affinity of AMP for the activator sites is about 1 order of magnitude higher than that of IMP, the affinity of both nucleotides, including their delta H and delta S0 values, seems to be the same for the inhibitor sites.