Athel Cornish-Bowden

Technological and Medical Implications of Metabolic Control Analysis

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Analytical Kinetic Modeling: A Practical Procedure

This chapter describes a practical procedure to dissect metabolic systems, simplify them, and use or derive enzyme rate equations in order to build a mathematical model of a metabolic system and run simulations. We first deal with a simple example, modeling a single enzyme that follows Michaelis-Menten kinetics and operates in the middle of an unbranched metabolic pathway. Next we describe the rules that can be followed to isolate sub-systems from their environment to simulate their behavior. Finally we use examples to show how to derive suitable rate equations, simpler than those needed for mechanistic studies, though adequate to describe the behavior over the physiological range of conditions.Many of the general characteristics of kinetic models will be obvious to readers familiar with the theory of metabolic control analysis (Cornish-Bowden, Fundamentals of Enzyme Kinetics, Wiley-Blackwell, Weinheim, 327-380, 2012), but here we shall not assume such knowledge, as the chapter is directed toward practical application rather than theory.

Victor Henri: 111 years of his equation

Victor Henris great contribution to the understanding of enzyme kinetics and mechanism is not always given the credit that it deserves. In addition, his earlier work in experimental psychology is totally unknown to biochemists, and his later work in spectroscopy and photobiology almost equally so. Applying great rigour to his analysis he succeeded in obtaining a model of enzyme action that explained all of the observations available to him, and he showed why the considerable amount of work done in the preceding decade had not led to understanding. His view was that only physical chemistry could explain the behaviour of enzymes, and that models should be judged in accordance with their capacity not only to explain previously known facts but also to predict new observations against which they could be tested. The kinetic equation usually attributed to Michaelis and Menten was in reality due to him. His thesis of 1903 is now available in English.

Enthalpy–entropy compensation and the isokinetic temperature in enzyme catalysis

Enthalpy–entropy compensation supposes that differences in activation enthalpy ∆H‡ for different reactions (or, typically in biochemistry, the same reaction catalysed by enzymes obtained from different species) may be compensated for by differences in activation entropy ∆S‡. At the isokinetic temperature the compensation is exact, so that all samples have the same activity. These ideas have been controversial for several decades, but examples are still frequently reported as evidence of a real phenomenon, nearly all of the reports ignoring or discounting the possibility of a statistical artefact. Even for measurements in pure chemistry artefacts occur often, and they are almost inescapable in enzyme kinetics and other fields that involve biological macromolecules, on account of limited stability and the fact that kinetic equations are normally valid only over a restricted range of temperature. Here I review the current status and correct an error in a recent book chapter.

Evolution of Negative Cooperativity in Glutathione Transferase Enabled Preservation of Enzyme Function.

Negative cooperativity in enzyme reactions, in which the first event makes subsequent events less favorable, is sometimes well understood at the molecular level, but its physiological role has often been obscure. Negative cooperativity occurs in human glutathione transferase (GST) GSTP1-1 when it binds and neutralizes a toxic nitric oxide adduct, the dinitrosyl-diglutathionyl iron complex (DNDGIC). However, the generality of this behavior across the divergent GST family and its evolutionary significance were unclear. To investigate, we studied 16 different GSTs, revealing that negative cooperativity is present only in more recently evolved GSTs, indicating evolutionary drift in this direction. In some variants, Hill coefficients were close to 0.5, the highest degree of negative cooperativity commonly observed (although smaller values of nH are theoretically possible). As DNDGIC is also a strong inhibitor of GSTs, we suggest negative cooperativity might have evolved to maintain a residual conjugating activity of GST against toxins even in the presence of high DNDGIC concentrations. Interestingly, two human isoenzymes that play a special protective role, safeguarding DNA from DNDGIC, display a classical half-of-the-sites interaction. Analysis of GST structures identified elements that could play a role in negative cooperativity in GSTs. Beside the well known lock-and-key and clasp motifs, other alternative structural interactions between subunits may be proposed for a few GSTs. Taken together, our findings suggest the evolution of self-preservation of enzyme function as a novel facility emerging from negative cooperativity.

Subunit interactions in pig-kidney fructose-1,6-bisphosphatase: Binding of substrate induces a second class of site with lowered affinity and catalytic activity

BACKGROUNDnFructose-1,6-bisphosphatase, a major enzyme of gluconeogenesis, is inhibited by AMP, Fru-2,6-P2 and by high concentrations of its substrate Fru-1,6-P2. The mechanism that produces substrate inhibition continues to be obscure.nnnMETHODSnFour types of experiments were used to shed light on this: (1) kinetic measurements over a very wide range of substrate concentrations, subjected to detailed statistical analysis; (2) fluorescence studies of mutants in which phenylalanine residues were replaced by tryptophan; (3) effect of Fru-2,6-P2 and Fru-1,6-P2 on the exchange of subunits between wild-type and Glu-tagged oligomers; and (4) kinetic studies of hybrid forms of the enzyme containing subunits mutated at the active site residue tyrosine-244.nnnRESULTSnThe kinetic experiments with the wild-type enzyme indicate that the binding of Fru-1,6-P2 induces the appearance of catalytic sites with lower affinity for substrate and lower catalytic activity. Binding of substrate to the high-affinity sites, but not to the low-affinity sites, enhances the fluorescence emission of the Phe219Trp mutant; the inhibitor, Fru-2,6-P2, competes with the substrate for the high-affinity sites. Binding of substrate to the low-affinity sites acts as a stapler that prevents dissociation of the tetramer and hence exchange of subunits, and results in substrate inhibition.nnnCONCLUSIONSnBinding of the first substrate molecule, in one dimer of the enzyme, produces a conformational change at the other dimer, reducing the substrate affinity and catalytic activity of its subunits.nnnGENERAL SIGNIFICANCEnMimics of the substrate inhibition of fructose-1,6-bisphosphatase may provide a future option for combatting both postprandial and fasting hyperglycemia.

Life before LUCA

We see the last universal common ancestor of all living organisms, or LUCA, at the evolutionary separation of the Archaea from the Eubacteria, and before the symbiotic event believed to have led to the Eukarya. LUCA is often implicitly taken to be close to the origin of life, and sometimes this is even stated explicitly. However, LUCA already had the capacity to code for many proteins, and had some of the same bioenergetic capacities as modern organisms. An organism at the origin of life must have been vastly simpler, and this invites the question of how to define a living organism. Even if acceptance of the giant viruses as living organisms forces the definition of LUCA to be revised, it will not alter the essential point that LUCA should be regarded as a recent player in the evolution of life.