Analysis of progress curves. Rate law of pyruvate kinase type I from Escherichia coli.

Progress curves of the reaction catalysed by pyruvate kinase from Escherichia coli K12, designed to cover the four-dimensional concentration space of phosphoenolpyruvate, ADP, Mg2+ and ATP in the regulatory region, were recorded with the pH-stat method (pH 7.0 and 25 degrees C). Additional initial-rate measurement were performed to assess specific points. Two methods for the evaluation of progress curves were used: fitting the rate law to the rates obtained from the tangents of the progress curves and fitting the integrated rate law directly to the curves. Two models, both extensions of the concerted model given by Monod, Wyman & Changeux [(1965) J. Mol. Biol. 12, 88--118] with four protomers, could be fitted to the data within the experimental error. Model discrimination in favour of one of these models was possible by proper experimental design. In the selected model one conformational state of the enzyme forms the active complex. The active site of a second conformational state forms abortive complexes with Mg2+, causing strong inhibition at high Mg2+ concentrations. In the absence of ligands, most of the enzyme is in a third state that binds ATP at an allosteric site.     

Crystal structure of the complex of phosphofructokinase from Escherichia coli with its reaction products

The crystal structure of Escherichia coli phosphofructokinase complexed with its reaction products fructose 1,6-bisphosphate (Fru1,6P) and ADP/Mg2+, and the allosteric activator ADP/Mg2+, has been determined at 2.4 A resolution. The structure was solved by molecular replacement using the known structure of Bacillus stearothermophilus phosphofructokinase, and has been refined to a crystallographic R-factor of 0.165 for all data. The crystallization mixture contained the substrate fructose 6-phosphate, but the electron density maps showed clearly the presence of the product fructose 1,6-bisphosphate, presumably formed by the enzyme reaction with contaminating ATP. The crystal consists of tetrameric molecules with subunits in two different conformations despite their chemical identity. The magnesium ion in the "closed" subunit bridges the phosphate groups of the two products. In the "open" subunit, the products are about 1.5 A further apart, with the Mg2+ bound only to ADP. These two conformations probably represent two successive stages along the reaction pathway, in which the closure of the subunit is required to bring the substrates sufficiently close to react. This conformational change within the subunit is distinct from the quaternary structure change seen previously in the inactive T-state conformation. It is probably not involved in the co-operativity or allosteric control of the enzyme, since the co-operative product fructose 1,6-bisphosphate is not moved, nor are the subunit interfaces changed. The structure of the enzyme is similar to that of B. stearothermophilus phosphofructokinase, and confirms the location of the sites for the two reaction products (or substrates), and of the effector site binding the activator ADP/Mg2+. However, this structure gives a clearer picture of the active site, and of the interactions between the enzyme and its reaction products.     

Solution X-ray scattering studies of the yeast phosphofructokinase allosteric transition. Characterization of an ATP-induced conformation distinct in quaternary structure from the R and T states of the enzyme

The allosteric transition of yeast phosphofructokinase has been studied by solution x-ray scattering. The scattering curves corresponding to the native enzyme (T conformation) were found to be similar to the curves recorded in the presence of saturating concentrations of fructose 6-phosphate (R conformation) or AMP (R or R' conformation). However, the curves obtained in the presence of ATP are clearly different: the radius of gyration increases and the secondary minima and maxima are systematically shifted to lower angles, suggesting a swelling of the enzyme in the presence of ATP. These results give the first direct evidence for the existence of an ATP-induced T' conformation, distinct in quaternary structure from the R and T states of the enzyme oligomer, in agreement with our previous modeling of yeast phosphofructokinase regulation. X-ray scattering data are discussed in relation to the distinct molecular mechanisms of the ATP and fructose 6-phosphate allosteric effects involving, respectively, sequential and concerted conformational changes of the enzyme oligomer.     

The kinetics of effector binding to phosphofructokinase. The influence of effectors on the allosteric conformational transition.

1. The extent of the allosteric transition from the R into the T conformation of rabbit skeletal muscle phosphofructokinase induced by Mg2+-1,N6-etheno-ATP was determined by stopped-flow fluorimetry from the amplitude of the slow phase of the Mg2+-1,N6-etheno-ATP fluorescence enhancement [Roberts & Kellet (1979) Biochem. J. 183, 349--360]. 2. The amplitude of the slow phase was decreased by low concentrations of the activators cyclic AMP and fructose 1,6-bisphosphate, but increased in a complex manner by the inhibitor citrate. 3. Mg2+-1,N6-etheno-ATP and Mg2+-ATP are unable to induce the T conformation to a detectable extent in the presence of saturating cyclic AMP, but can do so readily in the presence of saturating fructose 1,6-bisphosphate. 4. The conformational transitions induced in enzyme alone by different ligands were observed by changes in intrinsic protein fluorescence. In general, an R-type conformation has diminished protein fluorescence compared with a T-type conformation. 5. Mg2+-ATP exerts a complex effect on protein fluorescence; both the enhancement at low concentrations and the quenching at high concentrations of Mg2+-ATP result from the binding of Mg2+-ATP to the inhibitory site and the ensuing allosteric transition. Enhancement reflects the extent of the allosteric transition and involves both tyrosine and tryptophan, probably in the region of the active site; quenching reflects occupation of the inhibitory site and involves tyrosine at the inhibitory site. 6. The mechanism of the allosteric transition from the R into the T conformation induced by Mg2+-1,N6-etheno-ATP at low concentrations occurs predominantly by a 'prior-isomerization' pathway; at higher concentrations a limited contribution from a 'substrate-guided' pathway occurs. 7. The allosteric behaviour of phosphofructokinase with respect to Mg2+-ATP and Mg2+-1,N6-ethenol-ATP binding may be accounted for in terms of the simple, concerted model.     

Modulation of muscle phosphofructokinase at physiological concentration of enzyme

Two approaches have been used to study the allosteric modulation of phosphofructokinase at physiological concentration of enzyme; a "slow motion" approach based on the use of a very low Mg2+/ATP ratio to conveniently lower Vmax, and the addition of polyethylene glycol as a "crowding" agent to favor aggregation of diluted enzyme. At 0.6 mg/ml muscle phosphofructokinase exhibited a drastic decrease in the ATP inhibition and the concomitant increase in the apparent affinity for fructose-6-P, as compared to a 100-fold diluted enzyme. Similar results were obtained with diluted enzyme in the presence of 10% polyethylene glycol (Mr = 6000). Results with these two approaches in vitro were essentially similar to those previously observed in situ (Aragón, J. J., Felíu, F. E., Frenkel, R., and Sols, A. (1980) Proc. Natl. Acad. Sci. U. S. A. 77, 6324-6328), indicating that the enzyme is strongly dependent on homologous interactions at physiological concentrations. With polyethylene glycol it was observed that within the physiological range of concentration of substrates and the other positive effectors, fructose-2,6-P2 still activates the liver phosphofructokinase although it no longer significantly affects the muscle isozyme. In the presence of polyethylene glycol, muscle phosphofructokinase can approach its maximal rate even in the presence of physiologically high concentrations of ATP. Three minor activities of muscle phosphofructokinase have been studied at high enzyme concentration: the hydrolysis of MgATP (ATPase) and fructose-1,6-P2 (FBPase), produced in the absence of the other substrate, and the reverse reaction from MgADP and fructose-1,6-P2. The kinetic study of these activities has allowed a new insight into the mechanisms involved in the modulation of phosphofructokinase activity. The binding of (Mg)ATP at its regulatory site reduces the ability of the enzyme to cleave the bond of the terminal phosphate of MgATP at the substrate site. The positive effectors (Pi, cAMP, NH+4, fructose-1,6-P2, and fructose-2,6-P2) decrease the inhibitory effect of MgATP. Citrate and fructose-2,6-P2 both act as mechanistically "secondary" effectors in the sense that citrate does not inhibit and fructose-2,6-P2 does not activate the FBPase activity, requiring both the presence of ATP to affect the enzyme activity. In conclusion it appears that the regulatory behavior of mammalian phosphofructokinases is utterly dependent on the fact of their high concentrations in vivo.     

Modifications in the allosteric properties of phosphofructokinase in rat erythrocytes and reticulocytes cross-linked with dimethyl suberimidate and 3,3'-dithiobispropionimidate

The kinetic behaviour of phosphofructokinase (ATP:D-fructose-6-phosphate 1-phosphotransferase, EC 2.7.1.11) has been studied in situ, by using rat erythrocytes and reticulocytes treated with dimethyl suberimidate and 3,3'-dithiobispropionimidate as cross-linking reagents and with digitonin as the delipidating agent. Comparison of the ATP and fructose-6-P saturation curves of phosphofructokinase in dimethyl suberimidate-permeabilized cells with those obtained in haemolysates showed the enzyme to have reduced allosteric properties under in situ conditions, although it still responded to cyclic AMP (300 microM) added as allosteric effector. Non-sigmoidal fructose-6-P saturation curves were also observed using 3,3'-dithiobispropionimidate-permeabilized erythrocytes, either in the absence or in the presence of cyclic AMP. A hyperbolic behaviour was shown after cross-linking reversal of 3,3'-dithiobispropionimidate-permeabilized erythrocytes by treatment with dithiothreitol. Specific activity values of phosphofructokinase were always lower in permeabilized cells than in haemolysates. A significant inhibition of phosphofructokinase specific activity, without any effect on its allosteric behaviour, is exerted by reaction of dimethyl suberimidate or 3,3'-dithiobispropionimidate with erythrocyte lysates in the presence of an inhibitory concentration of ATP. These results suggest that penetration of the cross-linking reagent and its subsequent reaction with intracellular phosphofructokinase will have a direct effect upon the results obtained using this in situ approach.U     

Interaction of calmodulin with muscle phosphofructokinase. Interplay with metabolic effectors of the enzyme under physiological conditions

The hysteretic calmodulin-induced inactivation of muscle phosphofructokinase and the calmodulin-mediated reactivation are essentially dependent on environmental conditions. The interplay of calmodulin during these reactions and at allosteric conditions with Mg . ATP, fructose 6-phosphate, adenosine 5'-[beta, gamma-imido]triphosphate and with the allosteric effectors AMP, ADP, fructose 1,6-bisphosphate, fructose 2,6-bisphosphate and glucose 1,6-bisphosphate was studied by two techniques. (a) A two-step technique with a preincubation of enzyme, calmodulin and effectors in close to physiological concentrations before dilution into an optimal activity assay. It reveals aggregation and slowly reversible conformation changes. (b) A direct assay of dilute enzyme at allosteric conditions. Dominating in the interplay of calmodulin with metabolic effectors is the competitive-like action of calmodulin on Mg . ATP binding to the regulatory sites of the enzyme. At high enzyme concentrations in the absence of hexose phosphates, i.e. at noncatalytic conditions calmodulin counteracts the stabilization of the highly active tetrameric form caused by Mg . ATP. In the allosteric assay it counteracts the ATP-induced allosteric inhibition. In both cases calmodulin acts synergistic with AMP and ADP. To a minor degree calmodulin also counteracts the stabilization of the tetrameric form caused by fructose 6-phosphate and hexose bisphosphate, now however antagonistically to AMP and ADP. By the demonstrated interactions the enzyme can be slowly and hysteretically shifted between an active tetrameric and an inactive dimeric state under control metabolic conditions and of Ca2+ and calmodulin. Resting conditions will inactivate and high contractile activity reactivate available enzyme.     

Phosphofructokinase. II. Role of ligands in pH-dependent structural changes of the rabbit muscle enzyme.

The effect of ligands, including substrates and allosteric effectors, on the pH-dependent inactivation and reactivation of rabbit muscle phosphofructokinase has been examined in terms of the mechanism proposed previously (Bock, P.E. and Fireden, C. (1976) J. Biol. Chem. 251, 5630-5636). It is concluded thatt many ligands exert their effect by binding preferentially to either protonated or unprotonated forms of the enzyme and thus shifting an apparent pK for the inactivation or reactivation process. ATP and fructose 6-phosphate influence the apparent pK to different extents and in different directions, with ATP binding preferentially to the protonated forms and fructose 6-phosphate to the unprotonated forms. Enzyme inactivated by ATP can be reactivated by the addition of fructose 6-phosphate. The experiments indicate that inactivation and reactivation in the presence of these ligands can occur by kinetically different pathways as has been found for these processes in the absence of ligands. The results are discussed in relation to what might be expected for ligand binding properties of the enzyme as a function of pH, temperature, and enzyme concentration. The effect of ATP and MgATP is complex, perhaps representing more than one site of binding. Citrate appears to bind preferentially to protonated forms of the enzyme while fructose 1,6-bisphosphate and AMP bind preferentially to the unprotonated forms. ADP, K+, and NH4+ appear to have little or no preference in binding to different enzyme forms.     

Interaction of phosphofructokinase with antibodies. Kinetic properties of phosphofructokinase in complexes with antibodies.

The allosteric properties of phosphofructokinase (EC 2.7.1.11) from rabbit muscle are influenced by enzyme concentration, most probably due to changes in the association state of the enzyme. In this study, the behaviour of dispersed pre-cipitates of phosphofructolinase as produced by treatment with antibodies has been investigated. The enzyme is not capable of rapid dissociation in the precipitated state as is confirmed by the lack of inactivation upon dilution and by the absence of shifts in substrate saturation curves as measured in the presence of different concentrations of the enzyme. The Hill coefficient of phosphofructokinase is decreased from 1.96 to 1.04 by antibody treatment. The V at neutral pH is increased 3-fold while the K0.5 for fructose 6-phosphate is reduced significantly. On the other hand, antibody-treated phosphofructokinase retains its sensitivity to allosteric activation by glucose 1,6-bisphosphate in the rpesence of high ATP concentrations.     

Influence of free Mg2+ on the kinetics of human erythrocyte phosphofructokinase

The influence of Mg2+ on the reaction catalyzed by human erythrocyte phosphofructokinase has been investigated using kinetic methods. The catalytic activity of PFK is dependent upon the presence of Mg2+ which constitutes with ATP the true Mg-ATP2- substrate. Free Mg2+ has no influence on the affinity of the enzyme for Mg-ATP2- substrate. Erythrocyte PFK is more inhibited by ATP4- and uncomplexed citrate than it is by Mg-ATP2- and Mg-citrate. Free Mg2+ relieves the MgATP2- and Mg-citrate inhibition under conditions where free ATP4-is negligible. We can assume that uncomplexed Mg2+ acts as positive effector by direct binding to the enzyme. These results emphasize the role of Mg2+ in the regulation of PFK activity in the erythrocyte.     

Etude de quelques propriétés de la phosphofructokinase érythrocytaire de l'homme normal

Human erythrocyte phosphofructokinase was purified 150 fold by DEAE cellulose adsorption and ammonium sulfate precipitation.At pH 7,5 the enzyme exhibits allosteric kinetics with respect to ATP, fructose 6 phosphate, and Mg²⁺.ATP at high concentration acted as an inhibitor and ADP, 5′AMP, 3′,5′, AMP, acted as activators. Both effectors seemed to decrease the homotropic interactions beetween the fructose 6 phosphate molecules.The activators increased the affinity of phosphofructokinase for the substrate (F6P), the inhibitor decreased it.These ligands had no effect on the maximum velocity of the reaction except in the case of ADP.Interactions between the substrates and the effector ligands on the enzyme were considered in terms of the Monod - Changeux - Wyman model for allosteric proteins.With GTP and ITP, no inhibition was observed. At saturing concentration of GTP, ATP still inhibited phosphofructokinase.Both 3′5′ AMP and fructose 6 phosphate increased the concentration of ATP required to produce an inhibition of 50 %.Citrate, like ATP, inhibited phosphofructokinase by binding most likely at the same allosteric site. Erythrocyte phosphofructokinase is inhibited by 2–3 DPG.The study of the relation log V max = f (pH) suggested, that the active center contains at least one imidazole and one sulfhydryl group.     

Regulation of phosphofructokinase at physiological concentration of enzyme studied by stopped-flow measurements

Stopped-flow measurements have been carried out to study some basic allosteric properties of muscle and yeast phosphofructokinase at physiological concentration of enzyme. An important increase in the affinity for fructose-6-P accompanied by an intense decrease in the ATP inhibition was observed with the muscle enzyme, which also became insensitive to fructose-2,6-P2 under these conditions. Yeast phosphofructokinase exhibited a significant diminution in the inhibition by ATP, although with no apparent change in the affinity for fructose-6-P. These results provide strong support in favor of the dependence of the allosteric regulation of phosphofructokinase on its concentration in vivo.     

Metabolite-induced activation of hepatic phosphofructokinase

Hepatic phosphofructokinase, isolated in a medium containing 100 mM (NH4)2SO4, can be activated by ATP. This metabolite-induced activation was investigated in view of the suggestion that it is related to phosphorylation of phosphofructokinase. The results obtained do not support this interpretation. Inhibitors of protein phosphatases (NaF) and kinases (the Mg++-chelator, ethylene diamine tetraacetic acid) did not affect the recovery of phosphofructokinase. In contrast, media of high ionic strength reduced the phosphofructokinase activity and rendered the enzyme sensitive to ATP-induced activation. Activation was also induced by other known effectors of phosphofructokinase (nucleoside triphosphates, fructose bisphosphates) and was not dependent on Mg++-ions. It is suggested that activation represents ligand-induced reversal of the inactivation of phosphofructokinase which occurs at high ionic strength. The differential sensitivity of phosphofructokinase from fed or starved animals to inactivation and reactivation is discussed.     

Phosphorylation of phosphofructokinase by protein kinase C changes the allosteric properties of the enzyme

The Ca2+- and phospholipid-dependent protein kinase C from rat brain phosphorylates rabbit muscle phosphofructokinase at the same trypsin-labile site as cyclic AMP-dependent protein kinase. However, protein kinase C also effectively phosphorylates one or more separate sites. Incubation of phosphofructokinase in the presence of protein kinase C, phospholipids, Ca2+, and ATP appears to affect the allosteric properties of phosphofructokinase by shifting the fructose 6-phosphate saturation curve to lower substrate concentrations in a time-dependent manner and decreasing cooperativity of the enzyme.     

Detailed kinetics and regulation of mammalian NAD-linked isocitrate dehydrogenase

A mathematical model is presented to describe the catalytic mechanism of mammalian NAD-linked isocitrate dehydrogenase (NAD-IDH), a highly regulated enzyme in the tricarboxylic acid cycle, a crucial pathway in energy metabolism and biosynthesis. The mechanism accounts for allosteric regulation by magnesium-bound isocitrate and EGTA and calcium-bound ATP and ADP. The developed model is used to analyze kinetic data for the cardiac enzyme and to estimate kinetic parameter values. Since the kinetic mechanism is expressed in terms of chemical species (rather than biochemical reactants), the model explicitly accounts for the effects of biochemical state (ionic strength, pH, temperature, and metal cation concentration) on the kinetics. Because the substrate isocitrate competes with allosteric activators (ATP and ADP) and an inhibitor (EGTA) for metal ion cofactors (Ca(2+) and Mg(2+)), the observed kinetic relationships between reactants, activator and inhibitor concentrations, and catalytic flux are complex. Our analysis reveals that under physiological conditions, the ADP/ATP ratio plays a more significant role than Ca(2+) concentration in regulating the enzyme's activity. In addition, the enzyme is highly sensitive to Mg(2+) concentration in the physiological range, pointing to a potential regulatory role of [Mg(2+)] in mitochondrial energy metabolism.     

Studies on the characterization of the sodium-potassium transport adenosinetriphosphatase. XI. Comparison of kinetic properties of the purified with the impure membrane-bound enzyme from Squalus acanthias

A variety of kinetic parameters have been compared in the membrane-bound and purified forms of the (sodium + potassium)-activated adenosinetriphosphatase (NaK ATPase) from the rectal gland of the spiny dogfish, Squalus acanthias. The kinetic parameters which have been studied have been temperature optima, pH optima, Mg-activation curves, optimum ATP/Mg ratios, K_m for ATP, ouabain-inhibition curves, and Na and K-activation curves. All kinetic parameters were remarkably similar for both forms of the enzyme. This encourages us to believe that information obtained from the pure enzyme can be extrapolated to the enzyme in its native membrane environment and should throw light on the molecular mechanism of Na and K transport.     

Analysis of the allosteric properties of rabbit muscle phosphofructokinase by means of affinity labeling with a reactive ATP analog.

A reactive ATP analog, N6-(6-bromoacetamidohexyl)-AMP-PCP, reacted specifically with the ATP inhibitory site of rabbit skeletal muscle phosphofructokinase without affecting the active site. Modification resulted in the incorporation of 1.01 mol of the reagent per mol of enzyme subunit. The modified enzyme was insensitive to allosteric inhibition by ATP and to activation by AMP at pH 7.2, where the native enzyme exhibits allosteric kinetic behavior. These observations demonstrate that we had succeeded in obtaining PFK fixed in the T state. Using the kinetic parameters of this modified enzyme, the kinetic properties of native enzyme can be quantitatively accounted for by the allosteric model of Monod-Wyman-Changeux. Further, the reagent was shown to have reacted with a specific cysteine residue near or at the ATP inhibitory site, and the sequence around the cysteine was determined as Cys-Lys-Asp-Phe-Arg.     

Antagonistic effect of cAMP and cGMP on the kinetic behaviour of phosphofructokinase from rat erythrocytes and reticulocytes

Fructose-6-phosphate (F6P)-saturation curves (up to 5 mM F6P) for phosphofructokinase (PFK) have been studied at physiological pH (7.1) and inhibitory (1.5 mM) or non-inhibitory (0.25 mM) ATP levels, in rat erythrocytes and reticulocytes. The addition of 300 microM cAMP to control samples activates the enzyme and displaces F6P-saturation curve towards the left, while the addition of cGMP inhibits the enzyme and shifts the curve to the right. The cAMP positive allosteric effect is more evident at inhibitory ATP levels, while the inhibitory effect of cGMP is very similar at both ATP levels. This antagonistic effect is exerted at the same regulatory site, since cAMP also activates the enzyme when cGMP is previously present in the reaction mixture. The physiological significance of this antagonism is not yet clear.