scholarly journals Study of the flux and transition time control coefficient profiles in a metabolic system in vitro and the effect of an external stimulator

1989 ◽  
Vol 260 (3) ◽  
pp. 763-769 ◽  
Author(s):  
N V Torres ◽  
R Souto ◽  
E Meléndez-Hevia

Control of flux and transition time was investigated with a reconstructed rabbit muscle glycolytic system in vitro as an experimental model. The results show agreement with the summation property for the Flux Control Coefficients [Kacser & Burns (1973) Symp. Soc. Exp. Biol. 27, 65-104; Heinrich & Rapoport (1974) Eur. J. Biochem. 42, 89-95]. Control of flux is almost exclusively located at the hexokinase- and phosphofructokinase-catalysed steps, whereas control of transition time is distributed more evenly between the enzymes of the system. The summation value of the Transition Time Control Coefficients is near to -1, suggesting the existence of another Summation Theorem besides that already stated for Flux Control Coefficients. Finally, we study the effect of an external stimulator of the system (fructose 2,6-bisphosphate) on the Control Coefficient profiles. The effect appears to be greater on the Transition Time Control Coefficient distribution than on the Flux Control Coefficients.

1993 ◽  
Vol 71 (7-8) ◽  
pp. 315-323 ◽  
Author(s):  
Wendy Y. Precious ◽  
John Barrett

The elasticities for the different steps of carbohydrate catabolism in the tapeworm Hymenolepis diminuta were estimated from perturbation experiments. These data were then used to calculate flux and metabolite control coefficients. Enzyme elasticities were also calculated from the rate equations and an independent estimate of the flux control coefficients for phosphoenolpyruvate carboxykinase was made by inhibitor titration. The values obtained for the flux control coefficients for carbohydrate breakdown in H. diminuta are consistent with how the pathway is thought to be controlled in vivo. A sensitivity analysis of the flux control coefficients of the important regulatory enzymes in the pathway shows that for hexokinase, phosphofructokinase, pyruvate kinase, and phosphoenolpyruvate carboxykinase there are three or four key elasticities which have a significant effect on the coefficient. For glycogen synthase, the major factor in determining the magnitude of the flux control coefficient is the relative flux through the branch.Key words: Hymenolepis diminuta, metabolic control analysis, control coefficient, enzyme elasticity.


1994 ◽  
Vol 300 (1) ◽  
pp. 159-164 ◽  
Author(s):  
G C Brown ◽  
C E Cooper

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.


1996 ◽  
Vol 315 (1) ◽  
pp. 195-205 ◽  
Author(s):  
Kerry A. WHEELER ◽  
Heather K. LAMB ◽  
Alastair R. HAWKINS

The quinic acid utilization (qut) pathway in Aspergillus nidulans is a dispensable carbon utilization pathway that catabolizes quinate to protocatechuate via dehydroquinate and dehydroshikimate (DHS). At the usual in vitro growth pH of 6.5, quinate enters the mycelium by means of a specific permease and is converted into PCA by the sequential action of the enzymes quinate dehydrogenase, 3-dehydroquinase and DHS dehydratase. The extent of control on metabolic flux exerted by the permease and the three pathway enzymes was investigated by applying the techniques of Metabolic Control Analysis. The flux control coefficients for each of the three quinate pathway enzymes were determined empirically, and the flux control coefficient of the quinate permease was inferred by use of the summation theorem. These measurements implied that, under the standard growth conditions used, the values for the flux control coefficients of the components of the quinate pathway were: quinate permease, 0.43; quinate dehydrogenase, 0.36; dehydroquinase, 0.18; DHS dehydratase, < 0.03. Attempts to partially decouple quinate permease from the control over flux by measuring flux at pH 3.5 (when a significant percentage of the soluble quinate is protonated and able to enter the mycelium without the aid of a permease) led to an increase of approx. 50% in the flux control coefficient for dehydroquinase. Taken together with the fact that A. nidulans has a very efficient pH homoeostasis mechanism, these experiments are consistent with the view that quinate permease exerts a high degree of control over pathway flux under the standard laboratory growth conditions at pH 6.5. The enzymes quinate dehydrogenase and 3-dehydroquinase have previously been overproduced in Escherichia coli, and protocols for their purification published. The remaining qut pathway enzyme DHS dehydratase was overproduced in E. coli and a purification protocol established. The purified DHS dehydratase was shown to have a Km of 530 μM for its substrate DHS and a requirement for bivalent metal cations that could be fulfilled by Mg2+, Mn2+ or Zn2+. All three qut pathway enzymes were purified in bulk and their elasticity coefficients with respect to the three quinate pathway intermediates were derived over a range of concentrations in a core tricine/NaOH buffer, augmented with necessary cofactors and bivalent cations as appropriate. Using these empirically determined relative values, in conjunction with the connectivity theorem, the relative ratios of the flux control coefficients for the various quinate pathway enzymes, and how this control shifts between them, was determined over a range of possible metabolite concentrations. These calculations, although clearly subject to caveats about the relationship between kinetic measurements in vitro and the situation in vivo, were able to successfully predict the hierarchy of control observed under the standard laboratory growth conditions. The calculations imply that the hierarchy of control exerted by the quinate pathway enzymes is stable and relatively insensitive to changing metabolite concentrations in the ranges most likely to correspond to those found in vivo. The effects of substituting the type I 3-dehydroquinases from Salmonella typhi and the A. nidulans AROM protein (a pentadomain protein catalysing the conversion of 3-deoxy-D-arabinoheptulosonic acid 7-phosphate into 5-enolpyruvylshikimate 3-phosphate), and the Mycobacterium tuberculosis type II 3-dehydroquinase, in the quinate pathway were investigated and found to have an effect. In the case of S. typhi and A. nidulans, overproduction of heterologous dehydroquinase led to a diminution of pathway flux caused by a lowering of in vivo quinate dehydrogenase levels. With M. tuberculosis, however, quinate dehydrogenase levels increased above those of the wild type. We speculate that these changes in quinate pathway enzyme activities may be due to changes in the pool sizes of quinate and dehydroquinate.


1992 ◽  
Vol 282 (3) ◽  
pp. 919-927 ◽  
Author(s):  
J Delgado ◽  
J C Liao

Flux Control Coefficients have been used in the analysis of metabolic regulation for quantifying the effect of an enzyme on the overall steady-state flux. However, the experimental determination of these coefficients is very time-consuming, involving either determining the individual enzyme kinetics or perturbing the enzyme activity by genetic or other means. We developed a methodology that enables the determination of the Flux Control Coefficients from transient metabolite concentrations without knowing kinetic parameters. The transient states can be generated by changing the incubation conditions or adding the initial substrate. This approach is suitable for investigating metabolic regulation in vivo or multiple enzyme systems in vitro. It is particularly helpful if used in conjunction with n.m.r. measurements. The approach is based on a relationship between transient metabolite concentrations and the Flux Control Coefficients. The methodology has been improved from our previous results, and it is illustrated by three examples with simple pathway topologies.


The use of elasticity coefficients and flux-control coefficients in a quantitative treatment of control is discussed, with photosynthetic sucrose synthesis as an example. Experimental values for elasticities for the cytosolic fructose 1,6-bisphosphatase and sucrose phosphate synthase are derived from their in vitro properties, and from an analysis of the in vivo relation between fluxes and metabolite levels. An empirical factor α , describing the response of the fructose 2,6-bisphosphate regulator cycle to fructose 6-phosphate is described, and an expression is derived relating α to the elasticities of the enzymes involved in this regulator cycle. The in vivo values for elasticities and α are then used in a modified form of the connectivity theorem to estimate the flux control coefficients of the cytosolic fructose 1,6-bisphosphatase and sucrose phosphate synthase during rapid photosynthetic sucrose synthesis.


1993 ◽  
Vol 296 (2) ◽  
pp. 423-433 ◽  
Author(s):  
J R Small

This paper is a study into the effects of experimental error on the estimated values of flux control coefficients obtained using specific inhibitors. Two possible techniques for analysing the experimental data are compared: a simple extrapolation method (the so-called graph method) and a non-linear function fitting method. For these techniques, the sources of systematic errors are identified and the effects of systematic and random errors are quantified, using both statistical analysis and numerical computation. It is shown that the graph method is very sensitive to random errors and, under all conditions studied, that the fitting method, even under conditions where the assumptions underlying the fitted function do not hold, outperformed the graph method. Possible ways of designing experiments to minimize the effects of experimental errors are analysed and discussed.


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