Use of naturally fluorescent triacylglycerols from Parinari glaberrimum to detect low lipase activities from Arabidopsis thaliana seedlings.

The aim of this study was to design a convenient, specific, sensitive, and continuous lipase activity assay using natural long-chain triacylglycerols (TAGs). Oil was extracted from Parinari glaberrimum seed kernels and the purified TAGs were used as a substrate for detecting low levels of lipase activities. The purified TAGs are naturally fluorescent because more than half of the fatty acids from Parinari oil are known to contain 9,11,13, 15-octadecatetraenoic acid (parinaric acid) in its esterified form. The presence of detergents (sodium taurodeoxycholate, CHAPS, Sulfobetaine SB12, Tween 20, Brij 35, Dobanol, n-dodecylglucoside) above their critical micellar concentration dramatically increases the fluorescence of the parinaric acid released by various lipases. This increase in the fluorescence intensity is linear with time and proportional to the amount of lipase added. This new method, performed under non-oxidative conditions, was applied successfully to detecting low lipase levels in crude protein extracts from plant seeds and could be scaled down to microtiterplate measurements. Quantities as low as 0.1 ng of pure pancreatic lipase could be detected under standard conditions (pH 8). Lipase activity can also be assayed in acidic media (pH 5) using human gastric lipase. This simple and continuous assay is compatible with a high sample throughput and might be applied to detecting true lipase activities in various biological samples.

Study of fatty acid specificity of sunflower phospholipase D using detergent/phospholipid micelles.

The fatty acid specificity of phospholipase D purified from germinating sunflower seeds was studied using mixed micelles with variable detergent/phospholipid ratios. The main advantage of this approach is that since the substrate is integrated in the detergent micelles, comparisons can be made between the kinetic constants of a wide range of phosphatidylcholine (PtdCho) compounds with various fatty acid contents. Phospholipase D is subject to interfacial activation as it is most active on water-insoluble substrates. It is not active on sphingomyelin and only slightly on lysophosphatidylcholine. By fitting the curves based on the experimental kinetic data, the interfacial dissociation constant of phospholipase D, the maximum hydrolysis rate Vm and the kinetic constant Km(B), were determined with the micellar substrate. The specificity of various substrates was examined by comparing the Vm/Km(B) values, and it was noted that sunflower phospholipase D is most active on medium-chain fatty PtdCho compounds. With long-chain natural phospholipids, the specificity of phospholipase D was slightly dependent on the level of fatty acid unsaturation. The pure enzyme was able to hydrolyse the sunflower phospholipids present in mixed detergent micelles but not the phospholipids integrated in the natural sunflower oil body structure. We concluded, however, that during the germination of sunflower seeds, phospholipase D might be involved in the degradation of oil bodies, since other factors present in crude seed extracts may make phospholipids accessible to the enzyme.

Phospholipase D from soybean (Glycine max L.) suspension-cultured cells: purification, structural and enzymatic properties.

Phospholipase D (phosphatidylcholine phosphatidohydrolase EC 3.1.4.4) from soybean (Glycine max L.) suspension-cultured cell was purified around 1,200-fold to homogeneity by acetone precipitation, Macro-Prep High Q anion exchange, and octyl-Sepharose CL-4B affinity chromatography. The purified enzyme released 1,600 mumol of choline per min per mg of protein. The enzyme is monomeric with a molecular mass of 92 kDa, as estimated by SDS-PAGE. One of the most interesting characteristics of the purified soybean phospholipase D was the dependence of the pH optimum on the Ca2+ ion concentration in the assay. With 10 mM, 20 mM and 40 mM Ca2+ ions, the optima were at pH 7.5, 6 and 5.5, respectively. The specific adsorption of phospholipase D onto octyl-Sepharose gel suggests that the molecule becomes more hydrophobic in the presence of Ca2+ ions. The amino acid sequence of the first 18 N-terminal residues of soybean phospholipase D revealed a high degree of homology with those previously published for cabbage leaf and castor bean endosperm enzymes. Western blots of the soybean phospholipase D showed an immunoreactivity with antibodies raised against a synthetic peptide corresponding to the 15 N-terminal amino acid residues of phospholipase D from cabbage leaves.

Purification and characterization of a fatty acyl-ester hydrolase from post-germinated sunflower seeds.

Fatty acyl-ester hydrolase was not detectable in dry sunflower seeds using various p-nitrophenyl-acyl-esters, 1,2-O-didodecyl-rac-glycero-3-glutaric acid-resorufin ester or emulsified sunflower oil as substrate. After inhibition of the seeds, acyl-ester hydrolase activity slowly developed in cotyledon extracts and was maximal after 5 days. No activity was directly measurable on oil bodies. The enzyme was purified 615-fold to apparent homogeneity, as determined by performing SDS-PAGE electrophoresis, and biochemically characterized. With p-nitrophenyl-caprylate the optimum pH was around 8.0. The purification procedure involved an acetone powder from 5-day dark-germinated seedlings, chloroform-butanol extraction and three chromatography steps. We obtained 35 micrograms of pure enzyme from 250 g of fresh cotyledons with an activity yield of around 7%. It should be possible to subsequently improve this low recovery as we gave priority here, in the first instance, to purity at the expense of the yield. The enzyme consisted of one glycosylated polypeptide chain with a molecular mass of approx. 45 kDa and, as far as we could tell, it did not seem to require metal ions to be fully active, as it was not inhibited by EDTA or o-phenanthroline and not activated by various mono or bivalent metal ions. The amino acid composition showed the presence of four cysteine and four tryptophan residues. The enzyme was partially inhibited by dithiothreitol, DTNB and PCMB. The fact that high inhibition was observed in the presence of PMSF indicates that a serine residue may possibly be involved in the catalytic mechanism. The hydrophobicity index was about 53.6% which places this enzyme in the class of the soluble proteins in good agreement with the fact that it was mainly present in the soluble part of the crude extract. Partial characterization of glycan chains, using antiglycan antibodies, showed the presence of complex Asn-linked glycans. The enzyme was active on purified sunflower glycerol derivatives. It was also able to hydrolyze monooleyl and dioleyl glycerols, as well as phosphatidylcholine, but not cholesteryl esters. Using p-nitrophenyl-acyl-esters as substrate, the highest activity was observed with middle-chain derivatives (C6 and C8). Its maximum activity was about 0.015 units mg-1 with sunflower oil. It was not activated by an organic solvent such as isooctane. This enzyme probably is involved in acyl-ester hydrolysis which follows triacylglycerol mobilization by true lipases.

Variations in fluorescence and enzymic properties of bovine dihydrofolate reductase.NADPH complex during the slow conformational change induced by coenzyme binding.

When NADPH was added in large excess to bovine dihydrofolate reductase (H2folate reductase), there was a slow isomerization process between two conformers of the binary complex (B1<-->B2), as shown by changes in the fluorescence properties. Thus, we monitored the time dependence of (a) the quenching of protein intrinsic fluorescence intensity, (b) the polarization state of the fluorescence light emitted by NADPH.H2folate reductase complexes and (c), from a more biological point of view, the enzymic activity of binary complex solutions. The kinetics for these three processes were in good agreement using the same temperature conditions. Furthermore, fluorescence studies provided information on the NADPH environment in the binary complex. As soon as NADPH bound to H2folate reductase, light emitted by the invariant Trp24 residue located within the coenzyme-binding site was quenched by an energy-transfer process. Moreover, Trp57 and/or Trp113 emissions were partially quenched. The subsequent NADPH-bound protein conformational change caused an additional quenching, probably of Trp57 and/or Trp113 emissions. Thus, NADPH.H2folate reductase conformation was modified but no change was observed at the coenzyme-binding site, at least in our fluorescence study. These results were confirmed by polarization measurements. The conformational change, as well as the instantaneous NADPH binding, resulted in a more rigid form of the protein, as shown by an increase in steady-state anisotropy values. Finally, the isomerization process led to a more active enzymic form.

Characterization and kinetic properties of a soya-bean cell-wall phosphatase.

A phosphatase from soya-bean cell walls was purified to homogeneity and characterized. It consists of two identical 70-kDa subunits linked by one or several disulphide bridges and, to our knowledge, it does not seem to require metal ions to be fully active. At high substrate concentrations, the enzyme was most efficient at slightly alkaline pH levels, which is at variance with the acid requirements of phosphatases previously established in other plant cell walls; whereas at low substrate concentrations it was more active at acid pH levels. The results of kinetic studies suggested that three ionizable groups of the protein might take part in the reaction. This enzyme is able to hydrolyse various phosphate esters, including PCho and nucleotides. Comparisons between the properties of the enzyme bound to the cell walls to those of the purified enzyme suggest that it is the most common, and perhaps the sole, phosphatase present in soya-bean cell walls.

Regulation of plant cell-wall pectin methyl esterase by polyamines--interactions with the effects of metal ions.

The kinetic study of the de-esterification of natural pectin by soya bean or orange pectin methyl esterase shows that the rate of the reaction is highly controlled by the presence of polyamines. The reaction rate versus the polyamine concentration is a bell-shaped curve similar to that which is obtained when the concentration of salts is varied in the reaction mixture. However polyamines, in particular the largest ones, are more efficient than salts. The results may be interpreted by assuming that polyamines mainly interact with the negative charges of the pectic substrate which condition the binding of the pectin methyl esterase. Activating effects were observed at polyamine concentrations that have been shown to exist in the plant cell wall in vivo. Thus, polyamines may act as efficient regulators of the cell-wall pH via the control of the electrostatic cell-wall potential. If such is the case, they might have a role in all regulatory mechanisms in which cell-wall enzymes are involved.

Pectin methylesterase, metal ions and plant cell-wall extension. Hydrolysis of pectin by plant cell-wall pectin methylesterase.

The hydrolysis of p-nitrophenyl acetate catalysed by pectin methylesterase is competitively inhibited by pectin and does not require metal ions to occur. The results suggest that the activastion by metal ions may be explained by assuming that they interact with the substrate rather than with the enzyme. With pectin used as substrate, metal ions are required in order to allow the hydrolysis to occur in the presence of pectin methylesterase. This is explained by the existence of 'blocks' of carboxy groups on pectin that may trap enzyme molecules and thus prevent the enzyme reaction occurring. Metal ions may interact with these negatively charged groups, thus allowing the enzyme to interact with the ester bonds to be cleaved. At high concentrations, however, metal ions inhibit the enzyme reaction. This is again understandable on the basis of the view that some carboxy groups must be adjacent to the ester bond to be cleaved in order to allow the reaction to proceed. Indeed, if these groups are blocked by metal ions, the enzyme reaction cannot occur, and this is the reason for the apparent inhibition of the reaction by high concentrations of metal ions. Methylene Blue, which may be bound to pectin, may replace metal ions in the 'activation' and 'inhibition' of the enzyme reaction. A kinetic model based on these results has been proposed and fits the kinetic data very well. All the available results favour the view that metal ions do not affect the reaction through a direct interaction with enzyme, but rather with pectin.

Pectin methylesterase, metal ions and plant cell-wall extension. The role of metal ions in plant cell-wall extension.

The study of pectin methylesterase and wall-loosening enzyme activities in situ, as well as the estimation of the electrostatic potential of the cell wall, suggest a coherent picture of the role played by metal ions and pH in cell-wall extension. Cell-wall growth brings about a decrease of local proton concentration because the electrostatic potential difference (delta psi) of the wall decreases. This in turn activates pectin methylesterase, which restores the initial delta psi value. This process is amplified by the attraction of metal ions in the polyanionic cell-wall matrix. The amplification process is basically due to the release of enzyme molecules that were initially bound to 'blocks' of carboxy groups. This increase of metal-ion concentration also results in the activation of wall-loosening enzymes. Moreover, the apparent 'inhibition' of pectin methylesterase by high salt concentrations may be considered as a device which prevents the electrostatic potential from becoming too high.

Hysteresis of plant cell-wall beta-glucosidase.

A transient-kinetic study of beta-glucosidase from soyabean cell walls was performed with the use of a stopped-flow apparatus. The progress curve of the reaction exhibits a 'slow' burst of about 1 s before the steady state is reached. In the time scale investigated this burst may be accounted for by only one exponential, whose time constant varies with the substrate concentration. As this concentration is increased the value of the time constant increases at first, then decreases. Premixing the enzyme with glucose, the last product of the reaction sequence, reverses the 'slow' burst into a 'slow' lag. Taken together, these results are only compatible with a model that involves the existence of a 'slow' conformational transition of the enzyme.

Molecular organization and clustering of cell-wall-bound enzymes as a source of kinetic apparent co-operativity.

When fixed charges and enzyme molecules are not homogeneously distributed in a matrix, the degree of organization of charges, of enzyme molecules and of charges with respect to enzyme molecules modulate the enzyme reaction rate. The overall reaction velocity of the bound enzyme system may be expressed in terms of monovariate moments of the charge density distribution and of the bivariate moments of the charge and enzyme density distributions. With respect to the situation where fixed charges and enzyme molecules are randomly distributed in the matrix, the molecular organization, as expressed by the monovariate and bivariate moments results in an increase or a decrease, of the overall reaction rate, as well as in the appearance of a kinetic cooperativity. The degree of spatial organization of objects may be expressed quantitatively through the concept of minimal spanning tree. This concept may thus be applied to the quantification of the degree of order that may exist in the bidimensional distribution of enzyme molecules in a charged matrix. Primary walls of isolated plant cells in sterile culture behave as a polyanion and contain different enzymes. The spatial distribution in sycamore cell walls of an acid phosphatase has been studied through the concept of minimal spanning tree and shown to be non-randomly distributed in the polyanionic matrix, but clustered in that matrix. This spatial organization results in a modulation of the reaction rate of the cell-wall-bound phosphatase reaction. Both the theoretical and experimental results presented in this study leave little doubt as to the validity of the idea that in situ the organization of fixed charges and enzyme molecules modulate the overall dynamics of enzyme reactions.

Isolation, molecular properties and kinetic studies of a strict beta-fucosidase from Lactuca sativa latex. Its possible role in the cell-wall degradation of articulated laticifers.

A beta-fucosidase located in the latex serum of Lactuca sativa has been isolated and purified to homogeneity. This enzyme greatly differs from the other fucosidases already known in that it is strictly specific for the fucosyl residue and for the anomeric beta carbon. It is the first time that such an enzyme is shown to exist. The enzyme is a monomer and its molecular mass is close to 37 kDa. Its sedimentation constant is equal to 2.8 S. It is very stable at pH 5.5 in citrate/phosphate buffer but extensive denaturation occurs up to pH 7.5. Kinetic studies have shown that two ionization steps probably control the rate of the enzymatic hydrolysis. No precise information could be obtained about the possible in vivo role of this beta-fucosidase. However, the pure enzyme can release fucose from the cell walls obtained from hypocotyls of L. sativa. This result may be taken as evidence for the presence of beta-fucosidic links in these walls so that the enzyme could be involved in the differentiation of articulated laticifers.

Catalytic efficiency, kinetic co-operativity of oligomeric enzymes and evolution.

The catalytic performance of an enzyme, whether it is monomeric or oligomeric, depends on extra costs of energy in passing from the initial ground state to the various transition states, along the reaction co-ordinate. The improvement, during evolution, of the catalytic performance of individual subunits implies that three structural requirements are met in the course of an enzyme reaction: the unstrained enzyme subunits exist in the ground states under two conformations, one corresponding to the non-liganded state and the other to the liganded state; the inter-subunit strain is relieved in the various transition states; the subunits bound to the various transition states S not equal to, X not equal to and P not equal to have the same conformation. These structural requirements are precisely those which have been used to derive structural rate equations for polymeric enzymes. When subunits are loosely coupled, their arrangement controls the various rate constants, but not the extra costs of energy required to reach the various transition states. Moreover, one cannot expect the rate curve to display any sigmoidicity under these conditions. If subunits are tightly coupled and if the strained non-liganded and half-liganded states are destabilized with respect to the corresponding unstrained states, that is if they contain more conformational energy, the oligomeric enzyme is more catalytically efficient than the ideally isolated subunits. Moreover, if the available conformational energy of the half-liganded state is more than twice that of the non-liganded state, kinetic co-operativity is positive and the rate curve is sigmoidal. It is therefore the extent of inter-subunit strain in the half-liganded state which controls the appearance of sigmoidal kinetic behaviour. If subunits are tightly coupled but if inter-subunit strain is relieved in both the non-liganded and fully-liganded states, the half-liganded state controls both the catalytic efficiency of the enzyme and the sigmoidicity of the rate curve. Sigmoidicity and high catalytic efficiency are to be observed when this half-liganded state is destabilized relative to the corresponding unstrained state.(ABSTRACT TRUNCATED AT 400 WORDS)

Electrostatic effects and the dynamics of enzyme reactions at the surface of plant cells. 2. The role of pectin methyl esterase in the modulation of electrostatic effects in soybean cell walls.

The pectin methyl esterase from soybean cell walls has been isolated and purified to homogeneity. It is a protein with a relative molecular mass close to 33 000. The enzyme is maximally active at a pH close to 8 and its pH dependence may be explained by a classical Dixon model, where the two interconvertible enzyme ionization states coexist. The outflux of protons from cell walls, upon raising the ionic strength, may be taken as an indirect estimate of the fixed charge density. If the cell-wall fragments are pre-incubated at pH values between 5 and 9, the outflux of protons rises with the pH of pre-incubation. This implies, as postulated from the theory developed in the preceding paper, that alkaline pH favours the activity of pectin methyl esterase and that this enzyme effectively generates the fixed negative charges of the cell wall. Therefore the pectin methyl esterase reaction builds up the Donnan potential, delta psi, at the cell surface. The cell-wall charge density, estimated from the proton outflux, as well as from the titration of methyl groups on the cell wall, reaches a maximum between the third and the fourth day of growth. While the cell-wall volume increases and reaches a plateau, the fixed charge density increases at first and then declines. This is understandable if one assumes that the building up of a high charge density is a co-operative phenomenon and that the local pH inside the wall rises during cell growth. When both the cell-wall volume and the charge density increase together, this suggests that the local pH inside the wall lies within the critical pH range associated with the steep response of the system. When the cell-wall volume increases together with a decrease of the fixed charge density, the local pH should have dropped below this critical pH range. Under these conditions the pectin methyl esterase remains inactive, or poorly active. As the number of fixed negative charges increases, calcium becomes tightly bound to cell walls. This binding is so tight that the net charge density is minimum when the calcium concentration is maximum. The experimental results, presented above, offer experimental support to two important ideas discussed in the preceding paper, namely that pectin methyl esterase reaction builds up the Donnan potential at the cell surface, and that this response may be co-operative with respect to pH.

Electrostatic effects and the dynamics of enzyme reactions at the surface of plant cells. 1. A theory of the ionic control of a complex multi-enzyme system.

A theory is proposed to explain the physical bases of the ionic control of the activity of an enzyme system, located on a plant cell surface, and probably involved in cell-wall synthesis and extension. The model, which is based on various previously published experimental results, involves several assumptions: a cell-wall pectin methyl esterase de-esterifies pectins and thus creates the fixed negative charges of the cell wall; various enzymes incorporate uncharged carbohydrates in cell-wall material; cell-wall extension implies the sliding of cellulose microfibrils; the enzymes responsible for carbohydrate incorporation are activated by protons in the pH range 4-8 and have very similar pH dependencies: the cell-wall pectin methyl esterase is inhibited by protons in the same pH range. The mathematical derivation of this model, written in the form of a hypercycle, indicates that it is equivalent to a set of two antagonistic enzyme reactions: an enzyme reaction conditioned by pectin methyl esterase which results in the increase of fixed charge density of the cell wall; a number of 'growth enzymes', which produce extension and building up of the cell wall and therefore a decrease of charge density. The mathematical study of this model shows it may display a very high co-operativity of its response to slight changes of pH. This cooperativity means that the cell wall charge density may dramatically increase or decrease, within a very narrow pH range. The steep response of this system appears to be the direct consequence of different pH sensitivities of pectin methyl esterase and of the other cell-wall enzymes involved in cell growth. Calcium, which tightly binds to the cell wall, may diminish or even suppress this abrupt charge transition. This model suggests a novel theory of the ionic control of cell-wall expansion. The very basis of this theory is the existence of an electrostatic potential difference, delta psi, between the inside and the outside of the cell wall. When this delta psi value is large, the local proton concentration is high. Therefore the enzymes involved in cell wall extension and building up are active, but pectin methyl esterase is not. Therefore, the cell wall extends and the charge density decreases. The delta psi value then declines, as well as the local proton concentration. Under these conditions, the pectin methyl esterase becomes activated, whereas the 'growth enzymes' are not. This activation of pectin methyl esterase restores the initial, or an even higher, electrostatic potential difference, which in turn results in a decrease of local pH.(ABSTRACT TRUNCATED AT 400 WORDS)

Electrostatic effects and the dynamics of enzyme reactions at the surface of plant cells. 3. Interplay between limited cell-wall autolysis, pectin methyl esterase activity and electrostatic effects in soybean cell walls.

Soybean cell walls display a process of autolysis which results in the release of reducing sugars from the walls. Loosening and autolysis of cell wall are involved in the cell-wall growth process, for autolysis is maximum during both cell extension and cell-wall synthesis. Autolysis goes to completion within about 50 h and is an enzymatic process that results from the activity of cell wall exo- and endo-glycosyltransferases. The optimum pH of autolysis is about 5. Increasing the ionic strength of the bulk phase where cell-wall fragments are suspended, results in a shift of the pH profile towards low pH. This is consistent with the view that at 'low' ionic strength, the local pH in the cell wall is lower than in the bulk phase. One of the main ideas of the model proposed in a preceding paper, is that pectin methyl esterase reaction, by building up a high fixed charge density, results in proton attraction in the wall. Low pH must then activate the wall loosening enzymes involved in autolysis and cell growth. This view may be directly confirmed experimentally. The pH of a cell-wall suspension, initially equal to 5, was brought to 8 for 20 min, then back to 5. Under these conditions, the rate of cell-wall autolysis was enhanced with respect to the rate of autolysis obtained with cell-wall fragments kept at pH 5. The pH response of the multienzyme plant cell-wall system basically relies on opposite pH sensitivities of the two types of enzymes involved in the growth process. Pectin methyl esterase, which generates the cell-wall Donnan potential, is inhibited by protons, whereas the wall-loosening enzymes involved in cell growth are activated by protons.

Subunit coupling and kinetic co-operativity of polymeric enzymes. Amplification, attenuation and inversion effects.

The principles of structural kinetics, as applied to dimeric enzymes, allow us to understand how the strength of subunit coupling controls both substrate-binding co-operativity, under equilibrium conditions, and kinetic co-operativity, under steady state conditions. When subunits are loosely coupled, positive substrate-binding co-operativity may result in either an inhibition by excess substrate or a positive kinetic co-operativity. Alternatively, negative substrate-binding co-operativity is of necessity accompanied by negative kinetic co-operativity. Whereas the extent of negative kinetic co-operativity is attenuated with respect to the corresponding substrate-binding co-operativity, the positive kinetic co-operativity is amplified with respect to that of the substrate-binding co-operativity. Strong kinetic co-operativity cannot be generated by a loose coupling of subunits. If subunit is propagated to the other, the dimeric enzyme may display apparently surprising co-operativity effects. If the strain of the active sites generated by subunit coupling is relieved in the non-liganded and fully-liganded states, both substrate-binding co-operativity and kinetic co-operativity cannot be negative. If the strain of the active sites however, is not relieved in these states, negative substrate-binding co-operativity is accompanied by either a positive or a negative co-operativity. The possible occurrence of a reversal of kinetic co-operativity, with respect to substrate-binding co-operativity, is the direct consequence of quaternary constraints in the dimeric enzyme. Moreover, tight coupling between subunits may generate a positive kinetic co-operativity which is not associated with any substrate-binding co-operativity. In other words a dimeric enzyme may well bind the substrate in a non co-operative fashion and display a positive kinetic co-operativity generated by the strain of the active sites.

Kinetic co-operativity of monomeric mnemonical enzymes. The significance of the kinetic Hill coefficient.

The expression of the kinetic Hill coefficient for a two-substrate, two-product mnemonical enzyme has been derived. Its relation with the gamma coefficient, that is the slope of the reciprocal plots for 1/[A]----O, has been established. The variation of this Hill coefficient, as a function of the second substrate and product concentrations, has been studied theoretically. Whereas the gamma coefficient does not vary as a function of the substrate and first product concentrations, the kinetic Hill coefficient does. If the enzyme is positively co-operative, the Hill coefficient increases upon increasing the second substrate concentration and decreases if the first product concentration is increased. The converse is expected to occur if the enzyme displays a negative co-operativity. The last product may either reverse a positive co-operativity into a negative one or, alternatively, strengthen an already negative co-operativity. The co-operativity generated by the mnemonical model has been compared to the kinetic behaviour of a random model. These two models have been shown to be discriminated on the basis of the departure they show with respect to the Michaelis-Menten behaviour. These theoretical considerations have been applied to previously published data, obtained with wheat germ hexokinase LI. This monomeric enzyme has a negative co-operativity with respect to the preferred substrate, glucose. The Hill coefficient decreases with MgATP concentration, increases with MgADP concentration and decreases with glucose-6-phosphate concentration. This is exactly what is to be expected on the basis of the above theory of kinetic co-operativity.