Enzyme-substrate interaction in lipid monolayers. I. Experimental conditions and fundamental kinetics.

A systematic study has shown the importance of the different factors which are concerned with the action of lipase on a substrate (1,3-didecanoylglycerol). These consist of a) the process of adsorption of lipase to the surface, b) the necessity of limited stirring to reach equilibrium, and c) the persistence during the reaction process of the enzyme molecules adsorbed on the monolayer. On the basis of this preliminary investigation, a technique was established to analyze the mechanism of lipase action with defined quantities of enzyme and lipid segregated in the monolayer. Thus, the process of the reaction itself is separated from the adsorption process, and it is demonstrated that the quantity of substrate hydrolyzed per minute depends only on the quantity of initially adsorbed lipase and not on the quantity of substrate or on the surface concentration of the enzyme. An appropriate new definition of the rate is consequently adopted.     

Acetic acid formation in Escherichia coli fermentation

Theoretical analysis of cellulase product inhibition (by cellobiose and glucose) has been performed in terms of the mathematical model for enzymatic cellulose hydrolysis. The analysis showed that even in those cases when consideration of multienzyme cellulase system as one enzyme (cellulase) or two enzymes (cellulase and beta-glucosidase) is valid, double-reciprocal plots, usually used in a product inhibition study, may be nonlinear, and different inhibition patterns (noncompetitive, competitive, or mixed type) may be observed. Inhibition pattern depends on the cellulase binding constant, enzyme concentration, maximum adsorption of the enzyme (cellulose surface area accessible to the enzyme), the range in which substrate concentration is varied, and beta-glucosidase activity. A limitation of cellulase adsorption by cellulose surface area that may occur at high enzyme/substrate ratio is the main reason for nonlinearity of double-reciprocal plots. Also, the results of calculations showed that material balance by substrate, which is usually neglected by researchers studying cellulase product inhibition, must be taken into account in kinetic analysis even in those cases when the enzyme concentration is rather low. (c) 1992 John Wiley & Sons, Inc.     

3':5'-Cyclic-AMP phosphodiesterase activities in white and brown adipose tissues of cold-acclimated rats.

3':5'-Cyclic-AMP phosphodiesterase (PDE) (EC 3.1.4.17) activity was measured in interscapular brown adipose tissue (BAT) and in white epididymal adipose tissue of rats acclimated to constant or fluctuating cold. Experiments were carried out on isolated adipocytes or tissue homogenates. In brown or white adipose tissue or isolated adipocyte homogenates, two different apparent Km values were found according to the substrate (cAMP) concentration. The low Km was at about 10(-6) M and the high one at about 10(-4) M. The apparent V of the high Km enzyme was about 10-fold higher than the V of the low Km enzyme. Cold acclimation to constant or fluctuating cold did not modify appreciably the Km or V values. For low substrate concentrations (10(-6)-10(-8) M), the specific activity of PDE expressed per milligram of protein was decreased in BAT adipocytes of the two groups of cold-acclimated rats, compared to controls. Inversely, it was increased in total tissue homogenates. These variations were smaller in fluctuating cold than in constant cold-acclimate rats. They could, in part, induce the increases in lipolysis and in blood flow observed in the BAT of cold-acclimated rats.     

The determination of the kinetic parameters of a carrier mediated transport process in the presence of an unstirred water layer

A procedure is described, based on the Eadie-Hofstee plot, from which it is possible to determine the Michaelis constant and the maximum velocity of a membrane bound transport process that is separated from the substrate in the bulk solution by an unstirred layer. This can be done without knowing the magnitude of the latter provided that its effective thickness can be varied by altering the rate of stirring. Further, if the affinity of the carrier for the substrate is sufficiently large, then, it is possible to determine the rate constant and the effective concentration of the membrane bound carrier.     

Kinetic analysis of Arabidopsis phospholipase Ddelta. Substrate preference and mechanism of activation by Ca2+ and phosphatidylinositol 4,5-biphosphate

Phospholipase D (PLD) is a major plant phospholipase family involved in many cellular processes such as signal transduction, membrane remodeling, and lipid degradation. Five classes of PLDs have been identified in Arabidopsis thaliana, and Ca(2+) and polyphosphoinositides have been suggested as key regulators for these enzymes. To investigate the catalysis and regulation mechanism of individual PLDs, surface-dilution kinetics studies were carried out on the newly identified PLDdelta from Arabidopsis. PLDdelta activity was dependent on both bulk concentration and surface concentration of substrate phospholipids in the Triton X-100/phospholipid mixed micelles. V(max), K(s)(A), and K(m)(B) values for PLDdelta toward phosphatidylcholine or phosphatidylethanolamine were determined; phosphatidylethanolamine was the preferred substrate. PLDdelta activity was stimulated greatly by phosphatidylinositol 4,5-bisphosphate (PIP(2)). Maximal activation was observed at a PIP(2) molar ratio around 0.01. Kinetic analysis indicates that PIP(2) activates PLD by promoting substrate binding to the enzyme, without altering the bulk binding of the enzyme to the micelle surface. Ca(2+) is required for PLDdelta activity, and it significantly decreased the interfacial Michaelis constant K(m)(B). This indicates that Ca(2+) activates PLD by promoting the binding of phospholipid substrate to the catalytic site of the enzyme.     

Enzyme--substrate interaction in lipid monolayers. III. A study of the variation of the surface concentration with lipolysis.

Monolayers of a diacylglycerol were submitted to the action of lipase, keeping the area constant. The variation of lipase, keeping the area constant. The variation of the surface concentration gamma of the substrate with time was derived from the recorded reduction of the surface pressure pi (the isotherm of the monolayer being previously established). The rate -d gamma/dt was determined both as a function of the surface concentration gamma of the substrate and as a function of the bulk concentration C of the enzyme in the underlying solution. The rate depends on the quantity of enzyme ze adsorbed on the monolayer and on the enzymatic specific activity alpha of these adsorbed enzyme molecules. Both ze and alpha vary with gamma. The two variations have been quantitatively dissociated. The curves of ze and of alpha as functions of gamma coincide with those previously established in the study of hydrolysis under constant surface pressure.     

Changes of lipase-catalyzed lipolytic rates in a batch reactor

A dramatic change of the reaction rate was observed for the lipase-catalyzed hyrolysis of tributyrin in a batch reactor. Immediately after the addition of the enzyme, the lipolysis rate increased continuously until a maximal reaction rate was reached. The duration of the induction was mainly controlled by the bulk enzyme concentration and the reactor stirring speed. The reaction rate dropped sharply after reaching its maximal value. The lipolysis decayed at a rate of about 0.012 min(-1), and was not affected by changes of the stirring speed. This decay was attributed to the fast deactivation of the surface-adsorbed lipase, and possibly to the extremely slow desorption of the inactivated species. For reaction time longer than 120 minutes, the lipolysis decreased at a much slower rate. Several mechanisms for the decay of the lipolysis rate were discussed.     

Kinetic steps for the hydrolysis of sphingomyelin by Bacillus cereus sphingomyelinase in lipid monolayers

The sphingomyelinase (Sphmase) activity degrading sphingomyelin (Sphm) monolayers shows a slow-reaction latency period before exhibiting constant rate catalysis. These two kinetic regions are regulated independently by the lateral surface pressure and by lipids that are biomodulators of cell function such as ceramide, glycosphingolipids, fatty acids, and lysophospholipids. Knowledge of the interfacial adsorption of Sphmase, precatalytic activation, initiation of effective catalysis, and the corresponding kinetic parameters is necessary for studying the level at which different lipids modulate the activity. We dissected some kinetic steps and determined the rate constants for degradation of Sphm, under controlled intermolecular organization, by Sphmase. Six models, adapted to two dimensions, were used to elucidate possible mechanisms for the interfacial activation of Sphmase during the lag time. The models consider enzyme binding to the substrate monolayer and a subsequent, essentially irreversible interfacial activation; this is supported experimentally by monolayer transfer experiments. Some mechanisms involve enzyme-substrate binding and associated states of the enzyme in the bulk subphase or at the interface, prior to complete activation. The activity of Sphmase is consistent with kinetics involving enzyme partitioning into the interface followed by substrate association, and by a process that proceeds with bimolecular kinetic dependence on the interfacial Sphmase concentration, and a subsequent slow step of activation. A possible equilibrium between the apparent monomolecular and bimolecular activated states of the interfacial enzyme, coupled to a slow activation, constitute rate-limiting steps that can explain the existence of lag time and the achievement of a maximum constant rate of degradation of Sphm monolayers by Sphmase.     

Kinetic analysis of the dual phospholipid model for phospholipase A2 action

A kinetic scheme is proposed for the action of cobra venom phospholipase A2 on mixed micelles of phospholipid and the nonionic detergent Triton X-100, based on the "dual phospholipid model." (formula; see text) The water-soluble enzyme binds initially to a phospholipid molecule in the micelle interface. This is followed by binding to additional phospholipid in the interface and then catalytic hydrolysis. A kinetic equation was derived for this process and tested under three experimental conditions: (i) the mole fraction of substrate held constant and the bulk substrate concentration varied; (ii) the bulk substrate concentration held constant and the Triton X-100 concentration varied (surface concentration of substrate varied); and (iii) the Triton X-100 concentration held constant and the bulk substrate concentration varied. The substrates used were chiral dithiol ester analogs of phosphatidylcholine (thio-PC) and phosphatidylethanolamine (thio-PE), and the reactions were followed by reaction of the liberated thiol with a colorimetric thiol reagent. The initial binding (Ks = k1/k-1) was apparently similar for thio-PC and thio-PE (between 0.1 and 0.2 mM) as were the apparent Michaelis constants (Km = (k-2 + k3)/k2) (about 0.1 mol fraction). The Vmax values for thio-PC and thio-PE were 440 and 89 mumol min-1 mg-1, respectively. The preference of cobra venom phospholipase A2 for PC over PE in Triton X-100 mixed micelles appears to be an effect on k3 (catalytic rate) rather than an effect on the apparent binding of phospholipid in either step of the reaction.     

Effect of diolein on hydrolysis of phosphatidylcholine by phospholipase C from Clostridium perfringens.

The activity of phospholipase C from Clostridium perfringens on 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) as a monolayer at an air/water interface was examined. With a pure POPC monolayer, sharp cut-off of the enzyme activity was observed on increase in surface pressure. However, this cut-off disappeared on addition of a 0.3 molar fraction of 1,2-dioleoylglycerol (1,2-DO) to the monolayer. An abrupt change in the enzyme activity was observed with molar fractions of between 0.2 and 0.3 1,2-DO in the POPC monolayer at an initial surface pressure of 35 mN/m. For examination of the effect of 1,2-DO on the phospholipase C activity, the quantity of [125I]phospholipase C adsorbed to the surface was determined. The enzyme was found to be adsorbed nonspecifically to all lipid films except that of POPC only. The adsorption of enzyme was not affected by the presence or absence of Ca2+ and Zn2+. The rate constant for enzyme adsorption to a 1,2-DO film was 4.5 times that for its adsorption to a POPC film. The adsorption decreased linearly with increase in the surface concentration of POPC, and increased with increase in the surface concentration of 1,2-DO. These data suggest that 1,2-DO (a reaction product) regulates the interaction of phospholipase C with films containing substrate and may also regulate the enzyme activity.     

Surface-induced aggregation of ferritin. Concentration dependence of adsorption onto a hydrophobic surface

The isotherm of ferritin adsorption onto a hydrophobic surface was studied by transmission electron microscopy. Adsorbed ferritin was found to be distributed in molecular clusters. The adsorption process was diffusion-rate-limited after 20 h adsorption time at bulk concentrations below 1 mg/1. The clusters formed during the diffusion-rate-limited adsorption had a fractal dimension D approximately 1.0 when averaged over all clusters. The pair distribution function g(r) showed an increased probability of finding nearest neighbours at distances less than 30 nm. The surface concentration of adsorbed ferritin was weakly dependent on the bulk concentration of ferritin in the range 10 mg/1-10 g/1 and the average number of nearest neighbour molecules was constant in this concentration range. The mass distribution of adsorbed ferritin c(r) had a fractal dimension D = 1.8 at a bulk concentration of 10 g/l and a surface concentration corresponding to theta = 0.45 +/- 0.05. The pair correlation function g(r) showed decreasing probability of finding nearest neighbour molecules over long distances as in percolating clusters. The results indicate that ferritin adsorbs strongly to the surface at low surface concentrations and weakly at high surface concentrations. The stability of ferritin adsorption was correlated to the average number of nearest neighbour molecules, indicating a possibility that desorption is a critical supramolecular phenomenon.     

Studies of a halophilic NADH dehydrogenase. II. Kinetic properties of the enzyme in relation to salt activation.

1. An NADH dehydrogenase, obtained from an extremely halophilic bacterium, was activated by various salts when enzyme activity was measured as the observed velocity, whereas the maximum velocity was unaffected by either the salt concentration or the nature of the salt. 2. Two ion effects were observed; a quantitative cation effect, reflected in changes in the apparent Michaelis constant for 2,6-dichlorophenolindophenol, and a qualitative anion effect, reflected in the apparent Michaelis and dissociation constants for NADH. 3. The data suggest that cations act by neutralizing electrostatic charges surrounding the 2,6-dichlorophenolindophenol-binding site, whereas the anions affect the conformation of the enzyme by altering the accessibility of the NADH-binding site to the bulk solvent. 4. Thus, the apparent activation of this enzyme, obtained from an extremely halophilic bacterium, is a reflection of measuring enzyme activity at non-saturating substrate concentrations.     

Steady-state kinetic analysis of the quinoprotein methylamine dehydrogenase from Paracoccus denitrificans.

A steady-state kinetic analysis was performed of the reaction of methylamine and phenazine ethosulphate (PES) with the quinoprotein methylamine dehydrogenase from Paracoccus denitrificans. Experiments with methylamine and PES as varied-concentration substrates produced a series of parallel reciprocal plots, and when the concentrations of these substrates were varied in a constant ratio a linear reciprocal plot of initial velocity against PES concentration was obtained. Nearly identical values of V/Km of PES were obtained with four different n-alkylamines. These data suggest that this reaction proceeds by a ping-pong type of mechanism. The enzyme reacted with a variety of n-alkylamines but not with secondary, tertiary or aromatic amines or amino acids. The substrate specificity was dictated primarily by the Km value exhibited by the particular amine. A deuterium kinetic isotope effect was observed with deuterated methylamine as a substrate. The enzyme exhibited a pH optimum for V at pH 7.5. The absorbance spectrum of the pyrroloquinoline quinone prosthetic group of this enzyme was also effected by pH at values greater than 7.5. The enzyme was relatively insensitive to changes in ionic strength, and exhibited a linear Arrhenius plot over a range of temperatures from 10 degrees C to 50 degrees C with an energy of activation 46 kJ/mol (11 kcal/mol).     

Direct observation of intraparticle equilibration and the rate-limiting step in adsorption of proteins in chromatographic adsorbents with confocal laser scanning microscopy

The adsorption of different proteins in a single biospecific and hydrophobic adsorbent particle for preparative protein chromatography has been observed directly by confocal laser scanning microscopy as a function of time at a constant bulk concentration c(b). The bulk concentration was in the non-linear part of the adsorption isotherm. At all times the concentration of free protein at the particle surface was almost equal to the bulk content indicating that external mass transfer resistance is not rate limiting for the adsorption under these conditions. Inside the particles a distinct maximum in adsorbed and free protein concentration that moved inside to a distance of approximately 0.2 R (R particle radius) from the particle surface, was observed. This is due to a decreasing solid-phase density and adsorptive capacity in the particle between 0.8 R and R indicating that the fraction of macropores (or void space) is larger in the outer than in the inner part of the adsorbent particles. By increasing the bulk concentration by a factor of 10 the equilibration time was reduced by about the same magnitude. This is in agreement with the concentration dependence of the effective pore diffusion coefficient D(p,eff)=D(p)/[epsilon(p)[1+nK/(K +c)(2)]] derived from the mass conservation relations describing the adsorption process. The time dependence protein adsorption up to approximately 90% of the equilibration value q* could be described by a bilinear free driving force model. The rapid equilibration in the outer part of the particle with a half-life time of approximately 100 s in the studied systems accounted for 0.3-0.4 q*. The slower equilibration with a up to ten times longer half-life time, was the adsorption in the inner part of the particle that outside 0.5 R accounts for 0.5-0.6 q*. These data were compared with literature data for batch adsorption of proteins in biospecific, hydrophobic and ion-exchange adsorbents. They could also be described by a bilinear free driving force model, with about the same quantitative results as obtained for similar conditions in the single particle experiments. The static adsorption parameters, maximum binding site concentration n, and dissociation constant for the protein binding to a binding site K, were determined from Scatchard plots. For the same protein-adsorbent system the plots changed from linear to non-linear with increasing n. This change occurred when the average distance between adjacent binding sites become of the same order of magnitude as the size of the binding site or adsorbed protein. This causes a shielding of free binding sites increasing with n and the concentration of adsorbed protein, yielding a concentration dependence in K. These results show that for a high throughput and rapid adsorption in preparative chromatography, the adsorption step should be carried out in the non-linear part of the adsorption isotherm with concentrations up to c(b) where q*/c(b)>/=10 to obtain high protein recoveries. To avoid tailing due to the flow of adsorbed proteins in the inner part of the particles further into the particles at the start of the desorption, and to speed up desorption rates, protein adsorption in the particle within 0.5 R from the particle center should be avoided. This requires the further development of suitable pellicular particles for preparative protein chromatography that meet this requirement.     

Analysis of a novel diacylglycerol kinase from Dictyostelium discoideum: DGKA

Diacylglycerol kinases (DGKs) catalyze the ATP-dependent phosphorylation of diacylglycerols to generate phosphatidic acid and have been investigated in prokaryotic and eukaryotic organisms. Recently, a protein that is significantly similar to human DGK-theta, DGKA, was identified in Dictyostelium discoideum. It has been shown to possess DGK activity when assayed using a medium-chain diacylglycerol, 1,2-dioctanoyl-sn-glycerol (DiC8). A complete understanding of DGK catalytic and regulatory mechanisms, as well as physiological roles, requires an understanding of its biochemical and kinetic properties. This report presents an analysis of these properties for DGKA. The enzyme catalyzes the phosphorylation of DiC8, and another medium-chain DAG, DiC6 (1,2-dihexanoyl-sn-glycerol), in a Michaelis-Menten manner. Interestingly, the kinetics of DGKA using physiologically relevant long-chain DAGs was dependent on substrate surface concentration and the detergent that was used. DGKA displayed Michaelis-Menten kinetics with respect to bulk substrate concentration (1,2-dioleoyl-sn-glycerol) in octyl glucoside mixed micelles when the surface substrate concentration was at or below 3.5 mol %. At higher surface concentrations, however, there was a sigmoidal relationship between the initial velocity and bulk substrate concentration. In contrast, DGKA displayed sigmoidal kinetics with respect to bulk substrate concentrations at all surface concentrations in Triton X-100 mixed micelles. Finally, we show the catalytic activity of DGKA was significantly enhanced by phosphatidylserine (PS) and phosphatidic acid (PA).     

A model of enzyme adsorption and hydrolysis of microcrystalline cellulose with slow deactivation of the adsorbed enzyme

Reduction in the activity and the concentration of the adsorbed enzyme are noted in the experimental data. Two alternative mechanisms, inactivation of the adsorbed enzyme and mass transfer of the enzyme from the bulk solution to the solution within the cellulose fibril where the cellulase is assumed to be inactive, are used to represent the decline in activity. The decline in concentration of the adsorbed enzyme is represented by a modest product inhibition and, more importantly, the assumption that the concentration of the adsorption sites is proportional to the square of the remaining substrate concentration. Measurements of both adsorbed enzyme and product concentration over time are used in determining parameter values. The model is applied to a series of experiments having a 10-fold range of substrate concentration and to an experiment in which the product is removed continuously. For both deactivation mechanisms, a very good representation of product concentration (standard deviation 3.6%) is obtained over the full period (168 h) of hydrolysis; the representation of adsorbed enzyme is, however, less accurate (standard deviation 6.7-6.8%).     

Estimation of the overall kinetic parameters of enzyme inactivation using an isoconversional method

An isoconversional method is proposed in order to calculate the kinetic parameters of enzyme inactivation. The method provides an efficient and low-cost procedure to describe both operational and thermal inactivation. Unlike the ordinary kinetic assays performed at constant enzyme concentration and at various substrate concentrations, the isoconversional method requires several extended kinetic curves for constant initial substrate concentration and different enzyme concentrations. The procedure was tested and validated using simulated data obtained for several kinetic models frequently discussed in the literature. After the validation, the isoconversional method was used for the investigation of the thermoinactivation of urease during urea hydrolysis in self buffered medium and the operational inactivation (destructive oxidation by excess peroxide) of catalase at high concentration of hydrogen peroxide. The results showed that the isoconversional method gives good results of global inactivation constant for both simple and more complex models.     

Continuous hydrolysis of oil by immobilized lipase in a countercurrent reactor

Lipase from Pseudomonas fluorescens biotype I was immobilized by adsorption of anion exchange resin using glutaraldehyde to enhance the adsorption. The activity yield of the immobilized lipase was very low (below 1%) when lipase activity was measured using emulsion substrate. The activity yield was 10-70% when lipase activity was measured using non-emulsion substrate. Countercurrent reactors for hydrolysis of oil using non-emulsion substrate were studied. A fluidized bed reactor was found to be superior to a fixed bed one since in a fixed bed reactor the separation rate of the two layers was slow and the flow rate of the reactor had to be slower than the separation rate. A fluidized bed reactor system equipped with settling compartments and stirring compartments was devised. Continuous lipolysis at 60 degrees C and continuous separation of oily product and water soluble product were performed. After continuous operation for more than 3 months, 70% of the initial activity of the immobilized lipase was observed at the end of the reaction.     

A new method to determine active enzyme distribution, effective diffusivity, rate constant for main reaction and rate constant for deactivation

A new method is presented to determine (1) the rate constant for the main reaction, (2) the rate constant for deactivation, (3) the effective diffusivity, and (4) the active enzyme distribution within a porous solid support by utilizing data of bulk substrate concentration versus time in a continuous stirred basket reactor. The method relies on an assumption of parallel deactivation mechanism with strong pore diffusional resistance with respect to substrate species. The data of hydrogen peroxide-immobilized catalase published in the literature are used to demonstrate the theory. A parameter determination procedure is also presented.