Multi-enzyme systems kinetics

Schultz AR Enzyme Kinetics From Diastase to Multi-enzyme Systems. Cambridge Univ Press, 1994. 

A. R. Schulz, Enzyme Kinetics, Erom Diastase to Multi Enzyme Systems, Cambridge University Press, New York, 1994. 

For a lucid account of the kinetics of multi-enzyme systems, the reader should consult Cornish-Bowden who defines such related parameters as flux control coefficients, summation relationships, and response coefficients. 

At the start of optimization of the reaction system, suitable values for pH and temperature have to be chosen as a function of the properties of the reactants and enzymes. Fortunately, most enzyme reactions operate in a narrow band with respect to pH value (7-10) and temperature (30-50 °C). The initial substrate concentration and, in the case of two-substrate reactions, the stoichiometric ratio of the two reactants, have to be selected. The selected enzyme concentration influences both the achievable space-time-yield as well as the selectivity in the case of undesired parallel or consecutive side reactions. In the case of multi-enzyme systems, the optimal activity ratio has to be found. The activity and stability of all the enzymes involved have to be known as a function of the reaction conditions, before the kinetic measurements are made. Enzyme stability is an important aspect of biocatalytic processes and should be expressed preferably as an enzyme unit consumption number, with the dimension unit of activity per mass of product (such as mole, lb, or kg). In multi-enzyme systems the stability of all the enzymes has to be optimized so that an optimal reaction rate and space-time-yield result. 

Five proteins containing molybdenum are known nitrate reductase, nit-rogenase, xanthine oxidase, aldehyde oxidase and sulphite oxidase. They also contain iron, and the first four are best classified as multi-enzyme systems. Early studies on xanthine oxidase used a number of important ESR techniques, particularly rapid freeze kinetic methods and isotopic substitution in metalloproteins. This work has been reviewed [38, 39], Nitrogenase is the subject of considerable recent interest since it contains detectable iron-sulphur centres but as there is some disagreement at present concerning the interpretations of the results readers are referred to the original literature [40-42]. 

Ivanetich, K. M., Bradshaw,), J., and Ziman, M. R. (19%). A6-Dcsaturase Improved meth-odologv and analysis of the kinetics in a multi enzyme system. Biochem, Biovhv. Acta 1292,120-132. 

Unfortunately, most enzymes do not obey simple Michaelis-Menten kinetics. Substrate and product inhibition, presence of more than one substrate and product, or coupled enzyme reactions in multi-enzyme systems require much more complicated rate equations. Gaseous or solid substrates or enzymes bound in immobilized cells need additional transport barriers to be taken into consideration. Instead of porous spherical particles, other geometries of catalyst particles can be apphed in stirred tanks, plug-flow reactors and others which need some modified treatment of diffusional restrictions and reaction technology. 

Kazuyuki Yasukawa, K., and Asano, Y. (2012) Enzymatic synthesis of chiral phenylalanine derivatives by a dynamic kinetic resolution of corresponding amide and nitrile substrates with a multi-enzyme system. Adv. Synth. Catal., 354, 3327-3332. 

A further requirement for the development of a multi-enzyme oxidizing process would be the determination of the kinetic parameters of the enzymes and hence development of a model of the intended reaction system in terms of the relative productivities of the enzymes with respect to substrate conversion rates as well as electron transfer stoichiometry. 

In Escherichia coli. Salmonella typhimurium and Aerobacter aerogenes two soluble multi-activity enzymes or enzyme complexes function in the utilisation of chorismate (14) for L-phenyl-alanine and L-tyrosine synthesis An enzyme or enzyme complex (P-protein) containing chorismate mutase and prephenate dehydratase activities has been isolated and partially purified from Escherichia coli. Salmonella typhimurium and Aerobacter aerogenes. The enzyme complex catalyses the transformation of chorismate (14) to phenylpyruvate (32) and both enzymic activities are retained in physical association after chromatography on DEAE cellulose. Kinetic analysis indicated that in isolated enzyme systems direct synthesis of phenylpyruvate (32) from chorismate (14) does not occur. Prephenate (31) once formed dissociates from the enzyme surface and accumulates in the reaction medium. After a lag period it is converted to phenylpyruvate (32). Schmit, Artz and Zalkin also obtained evidence to show that functionally distinct sites (catalytic and regulatory) exist on the P-protein from Salmonella typhimurium for chorismate mutase and prephenate dehydratase activities. The P-protein was obtained from Escherichia coli K-12 by Davidson, Blackburn and Dopheide who showed that it existed in solution mainly as a dimer of similar (and probably identical) sub-units of... 

It is emphasized that in the case of kinetic resolution, the MS measurements must be performed in the appropriate time window (near 50% conversion). If this is difficult to achieve due to different amounts or activities of the mutants being screened in the wells of microtiter plates, the system needs to be adapted in terms of time resolution. This means that samples for MS evaluation need to be taken as a function of time. Finally, it is useful to delineate the possibility of multi-substrate ee screening using the MS-based assay, which allows for enzyme fingerprinting with respect to the enantioselectivity of several substrates simultaneously. 

While the majority of these concepts are introduced and illustrated based on single-substrate single-product Michaelis-Menten-like reaction mechanisms, the final section details examples of mechanisms for multi-substrate multi-product reactions. Such mechanisms are the backbone for the simulation and analysis of biochemical systems, from small-scale systems of Chapter 5 to the large-scale simulations considered in Chapter 6. Hence we are about to embark on an entire chapter devoted to the theory of enzyme kinetics. Yet before delving into the subject, it is worthwhile to point out that the entire theory of enzymes is based on the simplification that proteins acting as enzymes may be effectively represented as existing in a finite number of discrete states (substrate-bound states and/or distinct conformational states). These states are assumed to inter-convert based on the law of mass action. The set of states for an enzyme and associated biochemical reaction is known as an enzyme mechanism. In this chapter we will explore how the kinetics of a given enzyme mechanism depend on the concentrations of reactants and enzyme states and the values of the mass action rate constants associated with the mechanism. 

This review is concerned with the chemical and physical properties of proteins and enzymes containing three distinct and unique forms of Cu The "blue center or, in the nomenclature proposed by Vdnng rd, Type 1 Cu2+ the colorless or Type 2 Cu2+, common to all multi-copper oxidases which reduce molecular oxygen to two molecules of water and the Cu associated with the 330 nm absorption band, again common to the oxidases. The purposes of the review are to assemble chemical and physical data related to the indicated types of Cu binding sites, to offer some interpretations (and occasionally re-interpretations) of experimental results concerned with structure-function relationships, and to generalize some of the information available as it concerns the structures of these unique Cu-co-ordination complexes. Special emphasis will be placed on the kinetic and mechanistic work which has been carried out on the multi-copper oxidases while the physiological roles of the various protein systems will not be of particular importance. 

Multi-substrate enzymes (see) catalyse reactions of two or more substrates. Such enzymes can form a number of different complexes (known as enzyme species) with one or both substrates and/or products. The order in which these species are formed may be random or ordered. Cleland s short notation (see) is a convenient way of representing the possibilities. The kinetics of such reactions become extremely complicated enzyme networks (see Enzyme graphs) provide a means of sununarizing them. To evaluate the kinetic data for such systems, one must resort to a computer. Furthermore, the information gained from steady-state experiments may not be sufficient. A number of methods of very rapid measiu ement have been used to investigate the pre-steady-state condition of reactions, including stopped flow, temperature jump and flash methods. 

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