Metabolic Control Analysis of Exponential Growth and Product Formation

Metabolic Control Analysis defines the relationships between the change in activity of an enzyme and the resulting impacts on metabolic fluxes and metabolite concentrations at steady state. In many biotechnological applications of metabolic engineering, however, the goal is to alter the product yield. In this case, although metabolism may be at a pseudo-steady state, the amount of biomass catalysing the metabolism can be growing exponentially. Here, expressions are derived that relate the change in activity of an enzyme and its flux control coefficient to the change in yield from an exponentially growing system. Conversely, the expressions allow estimation of an enzyme's flux control coefficient over the pathway generating the product from measurements of the changes in enzyme activity and yield.

Metabolic Control Analysis of Glycerol Synthesis in Saccharomyces cerevisiae

ABSTRACT Glycerol, a major by-product of ethanol fermentation by Saccharomyces cerevisiae, is of significant importance to the wine, beer, and ethanol production industries. To gain a clearer understanding of and to quantify the extent to which parameters of the pathway affect glycerol flux in S. cerevisiae, a kinetic model of the glycerol synthesis pathway has been constructed. Kinetic parameters were collected from published values. Maximal enzyme activities and intracellular effector concentrations were determined experimentally. The model was validated by comparing experimental results on the rate of glycerol production to the rate calculated by the model. Values calculated by the model agreed well with those measured in independent experiments. The model also mimics the changes in the rate of glycerol synthesis at different phases of growth. Metabolic control analysis values calculated by the model indicate that the NAD+-dependent glycerol 3-phosphate dehydrogenase-catalyzed reaction has a flux control coefficient (Cv1J) of approximately 0.85 and exercises the majority of the control of flux through the pathway. Response coefficients of parameter metabolites indicate that flux through the pathway is most responsive to dihydroxyacetone phosphate concentration (RDHAPJ = 0.48 to 0.69), followed by ATP concentration (RATPJ = −0.21 to −0.50). Interestingly, the pathway responds weakly to NADH concentration (RNADHJ = 0.03 to 0.08). The model indicates that the best strategy to increase flux through the pathway is not to increase enzyme activity, substrate concentration, or coenzyme concentration alone but to increase all of these parameters in conjunction with each other.

The flux control coefficient of carnitine palmitoyltransferase I on palmitate β-oxidation in rat hepatocyte cultures

Two important factors that determine the flux of hepatic β-oxidation of long-chain fatty acids are the availability of fatty acid and the activity of carnitine palmitoyltransferase I (CPT I). Using Metabolic Control Analysis, the flux control coefficient of CPT I in rat hepatocyte monolayers was determined by titration with 2-[6-(4-chlorophenoxy)hexyl]oxirane-2-carboxylate (Etomoxir), which is converted to Etomoxir-CoA, an irreversible inhibitor of CPT I. We measured CPT I activity and flux through β-oxidation at 0.2 mM and 1.0 mM palmitate to simulate substrate concentrations in fed and fasted states. Rates of β-oxidation were 4.5-fold higher at 1.0 mM palmitate compared with 0.2 mM palmitate. Flux control coefficients of CPT I, estimated by two independent methods, were similar: 0.67 and 0.79 for 0.2 mM palmitate, and 0.68 and 0.77 for 1 mM palmitate. It is concluded that the regulatory potential of CPT I is similar at low and high physiological concentrations of palmitate.

The analysis of rate limitation within enzymes: relations between flux control coefficients of rate constants and unidirectional rates, rate constants and thermodynamic parameters of single isolated enzymes

The extent to which a rate constant or step within an enzyme mechanism limits the net enzyme rate in a particular condition can be quantified as a flux control coefficient. We derive here a number of relations between the control coefficients and the unidirectional rates, rate constants, and thermodynamic parameters of the enzyme. These and other relations are used to suggest a number of methods for experimentally measuring control coefficients within enzymes.

Inhibition of gluconeogenesis in isolated rat hepatocytes after chronic treatment with phenobarbital

Gluconeogenesis was studied in hepatocytes isolated from phenobarbital-pretreated rats fasted for 24 h. In closed vial incubations, glucose production from lactate (20 mmol/l) and pyruvate (2 mmol/l), alanine (20 mmol/l) or glutamine (20 mmol/l) was suppressed by about 30-45%, although glycerol metabolism was not affected. In hepatocytes perifused with lactate and pyruvate (ratio 10:1), glucose production was inhibited by 50%, even at low gluconeogenic flux. From the determination of gluconeogenic intermediates at several steady states of gluconeogenic flux, we have found a single relationship between phosphoenolpyruvate and the rate of glucose production (Jglucose), and two different curves between cytosolic oxaloacetate and Jglucose in controls and in phenobarbital-pretreated hepatocytes. By using 3-mercaptopicolinate to determine the flux control coefficient of phosphoenolpyruvate carboxykinase we found that phenobarbital pretreatment led to an increase in this coefficient from 0.3 (controls) to 0.8 (phenobarbital group). These observations were confirmed by the finding that the activity of phosphoenolpyruvate carboxykinase was decreased by 50% after phenobarbital treatment. Hence we conclude that the inhibitory effect of phenobarbital on gluconeogenesis is due, at least partly, to a decrease in the flux through phosphoenolpyruvate carboxykinase.