scholarly journals Determination of Flux Control Coefficients from transient metabolite concentrations

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.

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.


1996 ◽  
Vol 313 (3) ◽  
pp. 721-727 ◽  
Author(s):  
Magnus EHLDE ◽  
Guido ZACCHI

The influence of experimental errors on the determination of flux control coefficients from transient metabolite concentrations with the method proposed by Delgado and Liao [(1992) Biochem. J. 282, 919–927] has been investigated by using Monte Carlo simulations. The method requires least-squares fitting of the transient metabolite concentrations. Three different fitting methods have been evaluated. Simulated metabolite concentrations of a fictive metabolic pathway were scattered randomly, emulating experimental errors, before performing the fits. This was repeated a large number of times; the mean values and standard deviations of the resulting control coefficients are reported. The results show that the proposed method for determining control coefficients is too sensitive to experimental errors to be practicable, with theoretically justified fitting methods. This is in particular due to the high degree of correlation between the concentrations. An alternative ad hoc fitting method produced biased mean values of the estimates of the control coefficients, but with remarkably low standard deviations.


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.


1992 ◽  
Vol 285 (3) ◽  
pp. 965-972 ◽  
Author(s):  
J Delgado ◽  
J C Liao

The methodology previously developed for determining the Flux Control Coefficients [Delgado & Liao (1992) Biochem. J. 282, 919-927] is extended to the calculation of metabolite Concentration Control Coefficients. It is shown that the transient metabolite concentrations are related by a few algebraic equations, attributed to mass balance, stoichiometric constraints, quasi-equilibrium or quasi-steady states, and kinetic regulations. The coefficients in these relations can be estimated using linear regression, and can be used to calculate the Control Coefficients. The theoretical basis and two examples are discussed. Although the methodology is derived based on the linear approximation of enzyme kinetics, it yields reasonably good estimates of the Control Coefficients for systems with non-linear kinetics.


1986 ◽  
Vol 234 (1) ◽  
pp. 169-174 ◽  
Author(s):  
N V Torres ◽  
F Mateo ◽  
E Meléndez-Hevia ◽  
H Kacser

A method for determining Control Coefficients is proposed for systems studied in vitro and applied to a model pathway. Rat liver extract, which converts glucose into glycerol 3-phosphate, was used with the addition to the incubation mixture of fructose-bisphosphate aldolase, triose-phosphate isomerase and glycerol-3-phosphate dehydrogenase as ‘auxiliary’ enzymes, which leaves all the control on the first three enzymes. The flux of the metabolic pathway was recorded by assaying NADH decay. Flux Control Coefficients (CJE) of hexokinase, glucose-6-phosphate isomerase and phosphofructokinase were calculated by titration of the system with increasing quantities of extraneous enzymes. It is shown that the summation property is fulfilled. The applicability of this procedure to study the control in any metabolic pathway is discussed. Possible relevance of the method to conditions in vivo and its limitations are considered.


1995 ◽  
Vol 22 (4) ◽  
pp. 635 ◽  
Author(s):  
M Stitt

Transgenic plants with decreased expression of specific enzymes provide a powerful new tool to investigate metabolic regulation. Their use is discussed in the context of theories of metabolic regulation. It is argued that an enzyme is a key site for regulation, in the strict sense, when (i) natural mechanisms exist to alter the activity of the enzyme in vivo ('regulatability'), and (ii) a change in the activity of the enzyme is able to lead to a change in flux through the pathway ('regulatory capacity'). Previous approaches to the study of regulation allow the identification of enzymes with high 'regulatability', but they do not provide consistent or valid criteria to assess their 'regulatory capacity'. They therefore do not distinguish between enzymes which actually control metabolic fluxes, and enzymes which just respond to changes initiated elsewhere in the pathway. They may also underestimate the contribution of enzymes that catalyse reversible reactions. In contrast, mutants and transgenic plants can be used to directly test the importance of different aspects of an enzyme's regulatory properties in vivo. Even more importantly, they provide a method to determine flux control coefficients which provide a quantitative measure of an enzyme's 'regulatory capacity'. Recent results are surnrnarised, and potential practical problems in measuring control coefficients are reviewed.


Author(s):  
Hong Yi ◽  
Norman E. Williams ◽  
Virginia M. Dress ◽  
Kenneth C. Moore

Four polypeptides (tetrins I-IV) have been isolated from the ciliated protozoan Tetrahvmena pyriformis. These polypeptides assemble in vitro into 3-4 nm filaments identical with those present in abundance in a cytoskeletal framework associated with the feeding organelle system (oral apparatus) of this cell type. The polypeptides ranging in molecular weights from 79-89 kDa are not similar to each other in either biochemical or immunological properties. In vivo, the filaments are organized into higher order structures described as cages, cables, and networks. The specific hypothesis arises that the alternate packing arrangements may correlate with different distributions of the individual tetrin polypeptides. We report the production of monoclonal antibodies for each tetrin polypeptide, and the determination of the location of each within the cell using confocal microscopy and immunogold-silver enhancement procedures in conjunction with transmission electron microscopy (TEM).Cell samples for confocal microscopy were labelled according to conventional immunofluorescent procedures and examined with a Bio-Rad MRC-600 laser scanning confocal microscope.


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