A simple mechanism decreasing free metabolite pool size in static spatial channelling

We propose a simple mechanism which enables decrease of the free pool of channelled metabolite in static spatial channelling, when the concentration of the enzyme consuming the channelled metabolite is greater than the concentration of the enzyme producing this metabolite. Spatial channelling occurs between two enzymes when the common metabolite is released to a small space between these enzymes and does not form a ternary covalent complex with them, as is the case in covalent (dynamic or static) channelling. The mechanism proposed is qualitatively independent of rate constants, metabolite concentrations as well as other kinetic properties and is quantitatively significant for all physiologically relevant conditions. Calculations show that the free metabolite pool must decrease, when the concentration of the enzyme consuming the channelled metabolite is greater than the enzyme producing it. This mechanism is much more effective than increase in the concentration (or rate constant) of the enzyme consuming the metabolite in the absence of spatial channelling.     

Failure of channelling to maintain low concentrations of metabolic intermediates

Computer modelling has been used to investigate the effect of direct transfer of metabolites between consecutive enzymes (channelling) on the free concentrations of the channelled metabolites. When a channelled intermediate cannot participate in any other reactions, any increase in channelling tends to increase its free concentration, albeit very slightly, unless the increase in net flux brought about by the channel is compensated for by a simultaneous decrease in the activity of the route through the free intermediate, in which case channelling has no effect at all on the free steady-state concentration of the channelled intermediate. If the free intermediate is capable of participating in side reactions, channelling can decrease these side reactions, but only slightly unless virtually all of the final product results from flux through the channel and the rate constants for the direct pathway are virtually zero. In general, channelling appears not to provide a useful mechanism for maintaining intermediate concentrations at low levels.     

On the role of enzyme kinetic parameters in determining the effectiveness with which channelling can decrease the size of a metabolite pool

Recently, it has been argued that the phenomenon of direct transfer of intermediate metabolites between adjacent enzymes, also known as metabolic channelling, would not decrease the concentration of those intermediates in the bulk solution. However, this conclusion has been drawn by extrapolation from the results of simulations with a rather restricted set of parameters. We show that, for a number of kinetic cases, the existence of metabolic channelling can decrease the size of the soluble pool of intermediates. When the enzyme(s) downstream of the channel have a catalytic capacity that is large relative to the enzymes upstream of the channel, the decrease of concentration can be substantial (3 orders of magnitude).     

Production and characterization of bifunctional enzymes. Substrate channeling in the aspartate pathway

The direct channeling of an intermediate between enzymes that catalyze consecutive reactions in a pathway offers the possibility of an efficient, exclusive, and protected means of metabolite delivery. Aspartokinase-homoserine dehydrogenase I (AK-HDH I) from Escherichia coli is an unusual bifunctional enzyme in that it does not catalyze consecutive reactions. The potential channeling of the intermediate beta-aspartyl phosphate between the aspartokinase of this bifunctional enzyme and aspartate semialdehyde dehydrogenase (ASADH), the enzyme that catalyzes the intervening reaction, has been examined. The introduction of increasing levels of inactivated ASADH has been shown to compete against enzyme-enzyme interactions and direct intermediate channeling, leading to a decrease in the overall reaction flux through these consecutive enzymes. These same results are obtained whether these experiments are conducted with aspartokinase III, a naturally occurring monofunctional isozyme, with an artificially produced monofunctional aspartokinase I, or with a fusion construct of AK I-ASADH. These results provide definitive evidence for the channeling of beta-aspartyl phosphate between aspartokinase and aspartate semialdehyde dehydrogenase in E. coli and suggest that ASADH may provide a bridge to channel the intermediates between the non-consecutive reactions of AK-HDH I.     

A mathematical model of the Calvin photosynthesis cycle

1. A mathematical model is presented for photosynthetic carbohydrate formation in C3 plants under conditions of light and carbon dioxide saturation. The model considers reactions of the Calvin cycle with triose phosphate export and starch production as main output processes, and treats concentrations of NADPH, NAD+, CO2, and H+ as fixed parameters of the system. Using equilibrium approximations for all reaction steps close to equilibrium steady-state and transient-state relationships are derived which may be used for calculation of reaction fluxes and concentrations of the 13 carbohydrate cycle intermediates, glucose 6-phosphate, glucose 1-phosphate, ATP, ADP, and inorganic (ortho)phosphate. 2. Predictions of the model were examined with the assumption that photosynthate export from the chloroplast occurs to a medium containing orthophosphate as the only exchangeable metabolite. The results indicate that the Calvin cycle may operate in a single dynamically stable steady state when the external concentration of orthophosphate does not exceed 1.9 mM. At higher concentrations of the external metabolite, the reaction system exhibits overload breakdown; the excessive rate of photosynthate export deprives the system of cycle intermediates such that the cycle activity progressively approaches zero. 3. Reactant concentrations calculated for the stable steady state that may obtain are in satisfactory agreement with those observed experimentally, and the model accounts with surprising accuracy for experimentally observed effects of external orthophosphate on the steady-state cycle activity and rate of starch production. 4. Control analyses are reported which show that most of the non-equilibrium enzymes in the system have a strong regulatory influence on the steady-state level of all of the cycle intermediates. Substrate concentration control coefficients for cycle enzymes may be positive, such that an increase in activity of an enzyme may raise the steady-state concentration of the substrate is consumes. 5. Under optimal external conditions (0.15-0.5 mM orthophosphate), reaction flux in the Calvin cycle is controlled mainly by ATP synthetase and sedoheptulose bisphosphatase; the cycle activity approaches the maximum velocity that can be supported by the latter enzyme. At lower concentrations of external orthophosphate the cycle activity is controlled almost exclusively by the phosphate translocator.(ABSTRACT TRUNCATED AT 400 WORDS)     

Kinetic evidence for a ''mnemonical'' mechanism for rat liver glucokinase.

Inhibition studies of glucokinase were carried out with the products of the reaction, glucose 6-phosphate and MgADP-, as well as with ADP3-, Mg2+ and ATP4-. The results of these, together with those of kinetic studies of the uninhibited reaction described previously [Storer & Cornish-Bowden (1976) Biochem. J. 159, 7-14], indicate that the enzyme obeys a 'mnemonical' mechanism. This implies that the co-operativity observed with glucose as substrate arises because glucose binds differentially to two forms of the free enzyme that are not in equilibrium under steady-state conditions. The mechanism predicts the decrease in glucose co-operativity observed at low concentrations of MgATP2-. The product-inhibition results suggest that glucose 6-phosphate is released first and that it is possibly displaced by MgATP2- in a concerted reaction.     

Multiple glucose 6-phosphate pools or channelling of flux in diverse pathways?

Glucose 6-phosphate is an intermediate of pathways of glucose utilization and production as well as a regulator of enzyme activity and gene expression. Studies on the latter functions are in part based on measurement of the glucose 6-phosphate content in a whole-cell extract. Several studies have suggested that there are multiple subcellular pools of glucose 6-phosphate. It is proposed that this data can be interpreted in terms of channelling of metabolic intermediates through multiple pathways of glucose metabolism with leakage of glucose 6-phosphate from the channels into a single free pool. It is also proposed that measurement of total tissue content of glucose 6-phosphate approximates the free pool.     

Temporal analysis of metabolic systems and its application to metabolite channelling

When a metabolic system undergoes a transition between steady states, the lag or transition time of the system is determined by the aggregated lifetimes of the metabolite pools. This allows the transition time, and hence the temporal responsiveness of the system, to be estimated from a knowledge of the starting and finishing steady states and obviates the need for dynamic measurements. The analysis of temporal response in metabolic systems may be integrated with the general field of metabolic control analysis by the definition of a temporal control coefficient (C) in terms of flux and concentration control coefficients. The temporal control coefficient exhibits summation and other properties analogous to the flux and concentration control coefficients. For systems in which static metabolite channels exits, the major kinetic advantage of channelling is a reduction in pool sizes and, as a result, a more rapid system response reflected in a reduced transition time. The extent of the channelling advantage may therefore be assessed from a knowledge of the system transition time. This reveals that no channelling advantage is achieved at high enzyme concentration (i.e., comparable to K_m) or, in the case of ‘leaky’ channels, where rapid equilibrium kinetic mechanisms obtain. In the case of a perfect channel with no leakage and direct transfer of metabolite between adjacent enzyme active sites, the transition time is minimized and equal to the lifetime of the enzyme–substrate complex.     

Changes in yeast amino acid pool with respiratory versus fermentative metabolism

The precursors of the amino acid yeast pool are intermediates of either the glycolytic or the tricarboxilic acid pathway (TCA). Accordingly, the influence of the metabolism (fermentative or respiratory) on the internal amino acid pool of the yeast Saccharmyces cerevisiae was established by measuring the intracellular amino acid concentration of the "grande" strain IF1256 and its "petite" mutant either in steady-state or when shifting from fermentative to respiratory conditions. Under steady-state conditions, when the cells only respire, there is a decrease in nearly all the amino acids whose precursors are intermediates of the glycolytic pathway. When the metabolism is exclusively fermentative, the opposite change takes place. This effect is not observed in those amino acids whose precursors come from the TCA cycle. However, in continuous culture and at dilution rates lower than 0.06 h(-1), there is an enormous increase in the concentration of all the amino acids in both strains, whatever their precursor, whereas, in batch cultures, both strains undergo variations in the concentration of most amino acids, when entering stationary growth phase. Results therefore indicate that, the fact that the cells ferment or respire effectively affect their amino acid pool according to their precursors coming from the glycolytic or the TCA pathway, but other parameters, such as growth rate or exponential versus stationary phase, have a much stronger effect on yeast amino acid concentration.     

A comparison of tomato (Lycopersicon esculentum) lectin with its deglycosylated derivative

A regime is proposed for the design of coupled enzyme assays in which auxiliary enzymes are added at concentrations proportional to their Km values. Under these conditions it is possible to calculate the complete time course of the assay including the time required for the system to approach its steady state. The consequence of increasing the number of coupling enzymes is shown to be a considerable decrease in time required to reach the steady state provided that the overall transient time remains the same. The method is extended to the general consideration of pathways and shows that pathways of the same length exhibit identical temporal responses provided that the units of concentration and time used are based on the steady-state concentration of intermediates and the transient time respectively. An unexpected finding is that increasing the number of intermediates in a pathway can decrease the time required to enter a steady state.     

Distinction between the intermediates in Na+-ATPase and Na+,K+-ATPase reactions. I. Exchange and hydrolysis kinetics at millimolar nucleotide concentrations

Parallel measurements in steady-state of ATP hydrolysis rate (vhydr) and the simultaneous reverse reaction, i.e., the ADP-ATP exchange rate (vexch), allowed the determination of a kinetic parameter, KE, containing only the four rate constants needed to characterize the enzyme intermediates involved in the sequence (Formula: see text). In order to compare the properties of these enzyme intermediates under different sets of conditions, KE was measured at varying K+ and Na+ concentrations in the presence of millimolar concentrations of ATP, ADP and MgATP, using an enzyme preparation that was partially purified from bovine brain. (1) In the presence of Na+ (150 mM), K+ (20-150 mM) was found to increase the exchange rate and decrease the ATP hydrolysis rate at steady-state. As a result, KE increased at increasing K+. However, the value of KE found by extrapolation to K+ = 0 was 7-times lower than the value actually measured in the absence of K+. This finding indicates that one of the intermediates, EATP or EP, or both, when formed in the presence of Na+ alone, are different from the corresponding intermediate(s) formed in the presence of Na+ + K+ (at millimolar substrate concentration). (2) In the presence of 150 mM K+, Na+ (5-30 mM) was found to increase the ADP/ATP exchange as well as the ATP hydrolysis rate at steady-state. The ratio of the two rates was constant. This finding, when interpreted in terms of KE, indicates that Na+ does not have to leave the enzyme for ATP release to be accelerated by K+ in the backward reaction. This also is in opposition to the usual versions of the Albers-Post model, which does not have simultaneous presence of Na+ and K+.     

Behavior of Free Aromatic Amino Acid Pools in Rosmarinic Acid-Producing Cell Cultures of Anchusa officinalis L

The pool sizes of free l-phenylalanine and l-tyrosine, the precursors of rosmarinic acid in Anchusa officinalis L. cell suspension cultures, fluctuated during the culture cycle. The major increase in pool sizes was preceded by a peak of prephenate aminotransferase activity, while the subsequent decrease coincided with the presence of high activities of phenylalanine ammonia-lyase and tyrosine aminotransferase, the two entrypoint enzymes of the rosmarinic acid biosynthesis pathway. Timecourse feeding studies with linear growth stage cells revealed that the tyrosine pool turned over rapidly, consistent with direct participation in rosmarinic acid synthesis. Since externally applied l-tyrosine was rapidly incorporated into rosmarinic acid with little evidence of radioactively labeled intermediates, it is suggested that there exists a close coupling between the l-tyrosine pool and the rosmarinic acid biosynthetic pathway, which may involve the channelling of intermediates both into and within the pathway.     

Rapid kinetic studies of acetyl-CoA synthesis: evidence supporting the catalytic intermediacy of a paramagnetic NiFeC species in the autotrophic Wood-Ljungdahl pathway

CO dehydrogenase/acetyl-CoA synthase (CODH/ACS), a key enzyme in the Wood-Ljungdahl pathway of anaerobic CO(2) fixation, is a bifunctional enzyme containing CODH, which catalyzes the reversible two-electron oxidation of CO to CO(2), and ACS, which catalyzes acetyl-CoA synthesis from CoA, CO, and a methylated corrinoid iron-sulfur protein (CFeSP). ACS contains an active site nickel iron-sulfur cluster that forms a paramagnetic adduct with CO, called the nickel iron carbon (NiFeC) species, which we have hypothesized to be a key intermediate in acetyl-CoA synthesis. This hypothesis has been controversial. Here we report the results of steady-state kinetic experiments; stopped-flow and rapid freeze-quench transient kinetic studies; and kinetic simulations that directly test this hypothesis. Our results show that formation of the NiFeC intermediate occurs at approximately the same rate as, and its decay occurs 6-fold faster than, the rate of acetyl-CoA synthesis. Kinetic simulations of the steady-state and transient kinetic results accommodate the NiFeC species in the mechanism and define the rate constants for the elementary steps in acetyl-CoA synthesis. The combined results strongly support the kinetic competence of the NiFeC species in the Wood-Ljungdahl pathway. The results also imply that the methylation of ACS occurs by attack of the Ni(1+) site in the NiFeC intermediate on the methyl group of the methylated CFeSP. Our results indicate that CO inhibits acetyl-CoA synthesis by inhibiting this methyl transfer reaction. Under noninhibitory CO concentrations (below 100 microM), formation of the NiFeC species is rate-limiting, while at higher inhibitory CO concentrations, methyl transfer to ACS becomes rate-limiting.     

A generalized theory of the transition time for sequential enzyme reactions.

In a sequence of coupled enzyme reactions the steady-state production of product is preceded by a lag period or transition time during which the intermediates of the sequence are accumulating. Provided that a steady state is eventually reached, the magnitude of this lag may be calculated, even when the differentiation equations describing the process have no analytical solution. The calculation may be made for simple systems in which the enzymes obey Michaelis-Menten kinetics or for more complex pathways in which intermediates act as modifiers of the enzymes. The transition time associated with each intermediate in the sequence is given by the ratio of the appropriate steady-state intermediate concentration to the steady-state flux. The theory is also applicable to the transition between steady states produced by flux changes. Application of the theory to coupled enzyme assays allows a definition of the minimum requirements for successful operation of the assay. The theory can be extended to deal with sequences in which the enzyme concentration exceeds substrate concentration.     

Enzymes as biosensors. 1. Enzyme memory and sensing chemical signals

When a free enzyme exists under different conformations that 'slowly' isomerize during the conversion of a substrate into a product, the corresponding 'slow' relaxation component may interfere with the steady-state component. The apparent steady-state rate that may be measured under these conditions is called the meta-steady-state rate for it refers to the existence of metastable states of the enzyme during the reaction. By contrast to the real steady-state rate, the meta-steady-state rate is dependent upon the initial state of the enzyme, that is on the respective concentrations of the free enzyme forms. The simplest model that may display this type of behaviour is the mnemonical model. For a fixed concentration of the last product of the reaction sequence the meta-steady state is different depending on that concentration being reached by an increase or a decrease of a previous concentration. This means that the meta-steady-state rate describes a hysteresis loop as the product concentration is increased and decreased. Owing to the existence of metastable states, the enzyme system behaves as a biosensor that is able to detect both a concentration and the direction of a concentration change. The existence of the hysteresis loop of the meta-steady-state rate implies that the two free enzyme forms display hysteresis as well. A chemical potential, called the sensing potential, is specifically associated with the 'perception' of the direction of the thermodynamic force generated by the decrease or the increase of the concentration of the ligand that binds to one of the enzyme conformations. The sensing potential of the enzyme conformer that does not bind the product increases and reaches a plateau as the chemical potential of that product is raised. Alternatively the sensing potential of the other conformer vanishes at low and high chemical potentials of the product and is significant for intermediate chemical potentials. Enzymes that display very slow conformation changes may thus be viewed as elementary sensor devices.     

Multienzyme mevalonate pathway bioreactor

The five-carbon metabolic intermediate isopentenyl diphosphate constitutes the basic building block for the biosynthesis of all isoprenoids in all forms of life. Two distinct pathways lead from amphibolic intermediates to isopentenyl diphosphate. The Gram-positive cocci and certain other pathogenic bacteria employ exclusively the mevalonate pathway, a set of six enzyme-catalyzed reactions that convert 3 mol of acetyl-CoA to 1 mol each of carbon dioxide and isopentenyl diphosphate. The survival of the Gram-positive cocci requires a fully functional set of mevalonate pathway enzymes. These enzymes therefore represent potential targets of inhibitors that might be employed as antibiotics directed against multidrug-resistant strains of certain bacterial pathogens. A rapid throughput, bioreactor-based assay to assess the effects of potential inhibitors on several enzymes simultaneously should prove useful for the survey of candidate inhibitors. To approach this goal, and as a proof of concept, we employed enzymes from the Gram-positive pathogen Enterococcus faecalis. Purified recombinant enzymes that catalyze the first three reactions of the mevalonate pathway were immobilized in two kinds of continuous flow enzyme bioreactors: a classical hollow fiber bioreactor and an immobilized plug flow bioreactor that exploited a novel method of enzyme immobilization. Both bioreactor types employed recombinant acetoacetyl-CoA thiolase, HMG-CoA synthase, and HMG-CoA reductase from E. faecalis to convert acetyl-CoA to mevalonate, the central intermediate of the mevalonate pathway. Reactor performance was monitored continuously by spectrophotometric measurement of the concentration of NADPH in the reactor effluent. Additional potential applications of an Ni(++) affinity support bioreactor include using recombinant enzymes from extremophiles for biosynthetic applications. Finally, linking a Ni(++) affinity support bioreactor to an HPLC-mass spectrometer would provide an experimental and pedagogical tool for study of metabolite flux and pool sizes of intermediates to model regulation in intact cells.     

The rationalization of high enzyme concentration in metabolic pathways such as glycolysis

The cellular concentration of enzymes of some major metabolic pathways, such as glycolysis, can approach millimolarity. This concentration of enzyme can catalyze in vitro rates which are 100-fold higher than maximum pathway flux. In an attempt to understand the need for such high enzyme concentration, an artificial metabolic pathway of five enzymes (apropos the central enzymes of glycolysis) has been modeled. Numerical methods were then used to determine the effect of enzyme concentration on: (1) the change in total free metabolite concentration as the pathway changes from low flux to high flux, (2) the time lag (transient time) in the rate of final product formation upon the transition from low flux to high flux. Both the changes in metabolite pool size and the transient time decreased with increased enzyme concentrations. When all enzymatic reactions were assigned Keq of unity, a concentration for each enzyme of 25 microM is sufficient to provide a transient time of 1 sec. When Keq different from unity are introduced, more enzyme is required to provide comparably short transient times. Under the latter condition, a pathway of sufficiently low transient time would require all the enzyme available in mammalian muscle. It is shown that there is little scope for further increases in either enzyme concentration or of catalytic efficiency of independent enzymes. Therefore, an alternative method of increasing efficiency is considered in which enzyme-bound metabolites can serve directly as substrates for subsequent enzymes in a metabolic pathway.     

5-Iodoacetamidofluorescein-labeled (Na,K)-ATPase. Steady-state fluorescence during turnover

The fluorescence of (Na,K)-ATPase labeled with 5-iodoacetamidofluorescein was studied under turnover conditions. At 4 degrees C the hydrolysis of ATP is slowed sufficiently to permit study of the effects of Na+, K+, and ATP on the steady-state intermediates. With Na+ and Mg2+ (Na-ATPase conditions), addition of ATP produces a 7% drop in signal that reverts back to the initial, high fluorescence after a steady state of several minutes. K-sensitive phosphoenzyme is formed under these conditions, indicating that the fluorescence signal during the steady state is associated with E2P. Under (Na,K)-ATPase conditions (Na+, K+, Mg2+), micromolar ATP produces a steady-state signal that is 25% lower than the initial fluorescence, with no detectable phosphoenzyme formed. This low-fluorescence intermediate, which is also formed by adding K+ to enzyme in the Na-ATPase steady state described above, resembles the state produced by adding K+ directly to enzyme under equilibrium conditions, i.e. E2K. The K0.5(K+) for the fluorescence decrease and for keeping the enzyme dephosphorylated are nearly identical, indicating that the fluorescence change accompanies K+-dependent dephosphorylation. High ATP increases the steady-state fluorescence during the (Na,K)-ATPase reaction; while oligomycin produces still another steady-state fluorescent intermediate. These last two intermediates may be associated with the formation of E2P and E1P, respectively.     

Organization of the Human Mitochondrial Hydrogen Sulfide Oxidation Pathway

Sulfide oxidation is expected to play an important role in cellular switching between low steady-state intracellular hydrogen sulfide levels and the higher concentrations where the physiological effects are elicited. Yet despite its significance, fundamental questions regarding how the sulfide oxidation pathway is wired remain unanswered, and competing proposals exist that diverge at the very first step catalyzed by sulfide quinone oxidoreductase (SQR). We demonstrate that, in addition to sulfite, glutathione functions as a persulfide acceptor for human SQR and that rhodanese preferentially synthesizes rather than utilizes thiosulfate. The kinetic behavior of these enzymes provides compelling evidence for the flow of sulfide via SQR to glutathione persulfide, which is then partitioned to thiosulfate or sulfite. Kinetic simulations at physiologically relevant metabolite concentrations provide additional support for the organizational logic of the sulfide oxidation pathway in which glutathione persulfide is the first intermediate formed.