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Biomedical subjects

M L Cárdenas

Publications and source records attributed to M L Cárdenas.

At least 19 recordsLinked to original sources
PubMed2005

Systems biology may work when we learn to understand the parts in terms of the whole.

The first point to note about whether systems biology will work is that the essential idea of systems biology is not new: there has been interest in it, as well as efforts to apply it, since the middle of the 20th century. The difference now is that it has become fashionable, with an explosion in the number of publications using the two words, albeit not always with the same meaning. The reductionist approach remains dominant, however, and systems biology is often seen as no more than integration of diverse data into models of systems. This way of thinking needs to be changed if systems biology is to lead to an understanding of life and to provide the benefits that are expected from it. The emphasis ought to be on the needs of the system as a whole for understanding the components, not the converse. General properties of metabolic systems, such as feed-back inhibition, can be properly understood by taking account of supply and demand, i.e. the requirements of the system as a whole, but this is often overlooked. Metabolism tends to be viewed as static, although enzymes (and proteins in general) are continuously synthesized and degraded. The fact that they are themselves therefore metabolites introduces great complexity to metabolism, including an implication of infinite regress; understanding how living organisms escape from this will be an essential step towards understanding life.

Biology↗
PubMed2001

Relationships between inhibition constants, inhibitor concentrations for 50% inhibition and types of inhibition: new ways of analysing data.

The concentration of an inhibitor that decreases the rate of an enzyme-catalysed reaction by 50%, symbolized i(0.5), is often used in pharmacological studies to characterize inhibitors. It can be estimated from the common inhibition plots used in biochemistry by means of the fact that the extrapolated inhibitor concentration at which the rate becomes infinite is equal to -i(0.5). This method is, in principle, more accurate than comparing the rates at various different inhibitor concentrations, and inferring the value of i(0.5) by interpolation. Its reciprocal, 1/i(0.5), is linearly dependent on v(0)/V, the uninhibited rate divided by the limiting rate, and the extrapolated value of v(0)/V at which 1/i(0.5) is zero allows the type of inhibition to be characterized: this value is 1 if the inhibition is strictly competitive; greater than 1 if the inhibition is mixed with a predominantly competitive component; infinite (i.e. 1/i(0.5) does not vary with v(0)/V) if the inhibition is pure non-competitive (i.e. mixed with competitive and uncompetitive components equal); negative if the inhibition is mixed with a predominantly uncompetitive component; and zero if it is strictly uncompetitive. The type of analysis proposed has been tested experimentally by examining inhibition of lactate dehydrogenase by oxalate (an uncompetitive inhibitor with respect to pyruvate) and oxamate (a competitive inhibitor with respect to pyruvate), and of cytosolic malate dehydrogenase by hydroxymalonate (a mixed inhibitor with respect to oxaloacetate). In all cases there is excellent agreement between theory and experiment.

Animals↗
PubMed2001

The competition plot: A kinetic method to assess whether an enzyme that catalyzes multiple reactions does so at a unique site.

Enzymes often act on more than one substrate, and the question then arises as to whether this can be attributed to the existence of two different enzymes that have not been separated or, more interesting, to the presence of two different active sites in the same enzyme. The competition plot is a kinetic method that allows us to test with little experimentation whether the two reactions occur at the same site or at different sites. It consists of making mixtures of the two substrates and plotting the total rate against a parameter p that defines the concentrations of the two substrates in terms of reference concentrations chosen to give the same rates at p = 0 and p = 1, i.e., when only one of the substrates is present. With a slight modification of the equations it can also be applied to enzymes that deviate from Michaelis-Menten kinetics. If the two substrates react at the same site, the competition plot gives a horizontal straight line; i.e., the total rate is independent of p. In contrast, if the two reactions occur at two separate and independent sites a curve with a maximum is obtained; separate reactions with cross-inhibition generate curves with either maxima or minima according to whether the Michaelis constants of the two substrates are smaller or larger than their inhibition constants in the other reactions. Strategies to avoid ambiguous results and to improve the sensitivity of the plot are described. A practical example is given to facilitate the experimental protocol for this plot.

Binding Sites↗
PubMed2001

Information transfer in metabolic pathways. Effects of irreversible steps in computer models.

Various metabolic models have been studied by computer simulation in an effort to understand why allowing for the reversibility of the reaction catalysed by pyruvate kinase, normally considered as irreversible for all practical purposes, significantly altered the behaviour of the model of glycolysis in Trypanosoma brucei [Eisenthal, R. & Cornish-Bowden, A. (1998) J. Biol. Chem. 273, 5500-5505]. Studies of several much simpler models indicate that the enzymes catalysing early steps in a pathway must receive information about the concentrations of the metabolites at the end of the pathway if a model is to be able to reach a steady state; treating all internal steps as reversible is just one way of ensuring this. Feedback inhibition provides a much better way, and as long as feedback loops are present in a model it makes almost no difference to the behaviour whether the intermediate steps with large equilibrium constants are treated as irreversible. In the absence of feedback loops, ordinary product inhibition of all the enzymes in the chain can also transfer information; this is efficient for regulating fluxes but very inefficient for regulating intermediate concentrations. More complicated patterns of regulation, such as activation of a competing branch or forcing flux through a parallel route, can also serve to some degree as ways of passing information around an irreversible step. However, they normally do so less efficiently than inhibition, because the extent to which an enzyme or a pathway can be activated always has an upper limit (which may be below what is required), whereas most enzymes are inhibited completely at saturating concentrations of inhibitor.

Animals↗
PubMed1997

Kinetics of membrane-bound nitrate reductase A from Escherichia coli with analogues of physiological electron donors--different reaction sites for menadiol and duroquinol.

We have compared the steady-state kinetics of wild-type nitrate reductase A and two mutant forms with altered beta subunits. To mimic conditions in vivo as closely as possible, we used analogues of the physiological quinols as electron donors and membranes with overexpressed nitrate reductase A in preference to a purified alpha beta gamma complex. With the wild-type enzyme both menadiol and duroquinol supply their electrons for the reduction of nitrate at rates that depend on the square of the quinol concentration, menadiol having the higher catalytic constant. The results as a whole are consistent with a substituted-enzyme mechanism for the reduction of nitrate by the quinols. Kinetic experiments suggest that duroquinol and menadiol deliver their electrons at different sites on nitrate reductase, with cross-inhibition. Menadiol inhibits the duroquinol reaction strongly, suggesting that menaquinol may be the preferred substrate in vivo. To examine whether electron transfer from menadiol and duroquinol for nitrate reduction requires the presence of all of the Fe-S centres, we have studied the steady-state kinetics of mutants with beta subunits that lack an Fe-S centre. The loss of the highest-potential Fe-S centre results in an enzyme without menadiol activity, but retaining duroquinol activity; the kinetic parameters are within a factor of two of those of the wild-type enzyme, indicating that this centre is not required for the duroquinol activity. The loss of a low-potential Fe-S centre affects the activity with both quinols: the enzyme is still active but the catalytic constants for both quinols are decreased by about 75%, indicating that this centre is important but not essential for the activity. The existence of a specific site of reaction on nitrate reductase for each quinol, together with the differences in the effects on the two quinols produced by the loss of the Fe-S centre of +80 mV, suggests that the pathways for transfer of electrons from duroquinol and menadiol are not identical.

Escherichia coli↗
PubMed1996

The glucose-induced switch between glycogen phosphorylase and glycogen synthase in the liver: outlines of a theoretical approach.

The glucose-induced switch between glycogen phosphorylase and glycogen synthase in the liver is investigated by means of a theoretical approach based on a minimal, bicyclic cascade model involving the reversible phosphorylation of the two enzymes. The aim of the analysis is to evaluate the contribution of different factors to the sequential changes in the activity of glycogen phosphorylase and glycogen synthase observed following the addition of suprathreshold amounts of glucose.

Animals↗
PubMed1995

Kinetic studies of a soluble alpha beta complex of nitrate reductase A from Escherichia coli. Use of various alpha beta mutants with altered beta subunits.

A soluble alpha beta complex of nitrate reductase can be obtained from a strain of Escherichia coli that lacks the narI gene and expresses only the alpha and beta subunits. The beta subunit contains four Fe-S centres and the alpha subunit contains the molybdenum cofactor, which is the site at which nitrate is reduced. Despite the lack of the gamma subunit of the complete enzyme, this complex can still catalyse the reduction of nitrate with artificial electron donors such as benzyl viologen, so that it is suitable for studying the transfer of electrons between these two types of redox centre. To examine whether the electrons from reduced benzyl viologen are initially delivered to the Fe-S centres, or directly to the molybdenum cofactor, or both, we have studied the steady-state kinetics and the binding of benzyl viologen to the alpha beta complex and mutants alpha beta* with altered beta subunits. Reduction of the enzyme by reduced benzyl viologen in the absence of nitrate showed that all four Fe-S centres and the molybdenum cofactor could be reduced. Two classes of site with different equilibrium constants could be distinguished. The kinetic results suggest that benzyl viologen supplies its electrons directly to the molybdenum cofactor, at a rate showing a hyperbolic dependence on the square of the concentration of the electron donor. A reaction mechanism is proposed for the reduction of nitrate catalysed by the alpha beta complex of nitrate reductase with artificial electron donors.

Benzyl Viologen↗
PubMed1993

Rounding error, an unexpected fault in the output from a recording spectrophotometer: implications for model discrimination.

Although commonly ignored in discussions of experimental error, rounding may sometimes be the major source of error, especially with modern precision instruments: some recording spectrophotometers are optically and photometrically capable of making absorbance measurements with errors less than 0.0003, but provide no numerical information more precise than +/- 0.001. The problem may be diagnosed by a characteristic arrangement of points in a residual plot, which resembles the result of cutting a stroboscopic picture of a bouncing ball into several strips and modifying it by sliding the strips relative to one another to bring the points closer to the axis. Harmful effects of rounding error can be critical in experiments designed for model discrimination.

Enzymes↗
PubMed1993

Channelling can affect concentrations of metabolic intermediates at constant net flux: artefact or reality?

We show that if a metabolic intermediate is directly transferred ('channelled') from an enzyme that catalyses its production to another that uses it as substrate, there is no change in its free concentration compared with a system with the same net flux in which there is no direct transfer. Thus the widespread idea that channelling provides a mechanism for decreasing metabolite concentrations at constant flux is false. Results from computer simulation that suggest otherwise [Mendes, P., Kell, D. B. & Westerhoff, H. V. (1992) Eur. J. Biochem. 204, 257-266] are artefacts either of variations in flux or of alterations in opposite directions of the activities of the relevant enzymes.

Artifacts↗
PubMed1993

The competition plot: a simple test of whether two reactions occur at the same active site.

The competition plot is a method for determining whether or not two enzyme-catalysed reactions occur at the same active site. It is a plot of total rate against p, where p varies from 0 to 1 and specifies the concentrations (1-p)a0 and pb0 of two substrates in terms of reference concentrations a0 and b0 chosen so as to give the same rates at p = 0 and p = 1. If the two substrates react at the same site, the competition plot gives a horizontal straight line, i.e. the total rate is independent of p. Independent reactions at two separate sites give a curve with a maximum; separate reactions with cross-inhibition generate curves with either maxima or minima according to whether the Michaelis constants of the two substrates are smaller or larger than their inhibition constants in the other reactions. Although ambiguous results can sometimes arise, experimental strategies exist for avoiding them, for example working as close as possible to the lower of the two limiting rates. When tested with yeast hexokinase, the plot indicated phosphorylation of glucose and fructose at the same site. Conversely, with a mixture of yeast hexokinase and galactokinase it indicated phosphorylation of glucose and galactose at different sites. In both cases the observed behaviour agreed with the known properties of the enzymes. A slight modification to the definition of this plot allows it to be applied also to enzymes that deviate from Michaelis-Menten kinetics.

Animals↗
PubMed1992

Response coefficients of interconvertible enzyme cascades towards effectors that act on one or both modifier enzymes.

Explicit expressions have been derived for the response coefficients for the effect of activator and inhibitor concentrations on the fraction in the active state of the target enzyme of a monocyclic interconvertible enzyme cascade. These allow one to assess the adequacy of such a cascade for producing a highly sensitive response to an effector. Numerical studies indicate that this type of system can readily generate response coefficients of about seven, even without requiring both modification reactions to be modulated simultaneously, and without requiring all of the parameters that characterize the system to have their optimum values. Thus, a monocyclic cascade can constitute a highly effective on/off switching device in a linear pathway.

Catalysis↗