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PubMed1970

The role of diffusion in enzyme kinetics.

A discussion is given of the general role of diffusion in enzyme kinetics based upon a rigorous theory for bimolecular association and dissociation steps that was presented previously, and criteria are formulated for the dependence of the over-all rate on medium viscosity. With these criteria it is possible to conclude that a number of enzymes will exhibit no appreciable dependence of over-all rate on the medium viscosity, quite irrespective of the as yet unmeasured rate constants for association and dissociation of enzyme and substrate. The effect of adsorbing the enzyme onto the surface of a much larger spherical colloidal particle is considered with the conclusion that the rate will either remain the same or decrease, and that its sensitivity to medium viscosity will remain the same or increase.

Diffusion↗
PubMed2001

Analysis of enzyme kinetics using electrospray ionization mass spectrometry and multiple reaction monitoring: fucosyltransferase V.

An accurate, rapid, and versatile method for the analysis of enzyme kinetics using electrospray ionization mass spectrometry (ESI-MS) has been developed and demonstrated using fucosyltransferase V. Reactions performed in primary or secondary amine-containing buffers were diluted in an ESI solvent and directly analyzed without purification of the reaction products. Decreased mass resolution was used to maximize instrument sensitivity, and multiple reaction monitoring (MRM), in the tandem mass spectrometric mode, was used to enhance selectivity of detection. The approach allowed simultaneous monitoring of multiple processes, including substrate consumption, product formation, and the intensity of an internal standard. MRM gave an apparent K(m) for GDP-L-fucose (GDP-Fuc) of 50.4 +/- 5.5 microM and a k(cat) of 1.46 +/- 0.044 s(-1). Under the same conditions, the conventional radioactivity-based assay using GDP-[U-(14)C]Fuc as substrate gave virtually identical results: K(m) = 54.3 +/- 4.6 microM and k(cat) = 1.49 +/- 0.039 s(-1). The close correlation of the data showed that ESI-MS coupled to MRM is a valid approach for the analysis of enzyme kinetics. Consequently, this method represents a valuable alternative to existing analytic methods because of the option of simultaneously monitoring multiple species, the high degree of specificity, and rapid analysis times and because it does not rely on the availability of radioactive or chromogenic substrates.

Amino Sugars↗
PubMed2004

Measurement of enzyme kinetics using microscale steady-state kinetic analysis.

This paper describes a new technique--microscale steady-state kinetic analysis (microSKA)--that enables the rapid and parallel analysis of enzyme kinetics. Rather than physically defining a microscopic reactor through microfabrication, we show how the relative rates of reaction and transport in a macroscopic flow chamber, where the enzyme is immobilized on one wall of the chamber, results in the confinement of an enzyme-catalyzed reaction to a microscopic reactor volume adjacent to this wall. This volume has linear dimensions that are orders of magnitude smaller than the physical dimensions of the system (i.e., micrometer vs millimeter). Conversion within this volume is monitored at steady state as a function of position, rather than time. In this way, limitations due to reactor dead time and mixing are avoided. We use microSKA to determine kinetic parameters for the alkaline phosphatase-catalyzed de-phosphorylation of nonfluorescent methylumbelliferyl phosphate (MUP) to fluorescent 7-hydroxy-4-methylcoumarin (HMC) at two different values of pH. Kinetic parameters measured with microSKA are in good agreement with values obtained using conventional methods, if one takes into account effects of immobilization on enzyme activity. This technique provides a rapid and simple method for determining enzyme kinetics using small amounts of sample material and may be useful for applications in proteomics, drug discovery, biocatalyst development, and clinical diagnostics.

Alkaline Phosphatase↗
PubMed1986

Microcomputer simulation of steady-state enzyme kinetics for educational purposes.

A BASIC program to assist the instruction of steady-state enzyme kinetics has been developed for the IBM PC microcomputer. Its purpose is to simulate laboratory experiments in order to minimize the time required to obtain kinetic data from which students deduce kinetic mechanisms and determine kinetic constants of enzyme-catalyzed reactions. The program randomly selects a kinetic scheme from various sequential, ping pong, and iso reaction sequences as well as values for the kinetic constants. The scheme and kinetic constants are unknown to the student at this time; the only thing he or she knows is the stoichiometry of the catalyzed reaction which can have two or three substrates and products. The student is prompted to enter values for concentrations of substrates and products; several different concentrations for each substrate and product can be entered in a single experiment. The program then calculates, displays and prints (if desired) the corresponding initial steady-state velocities. The student can perform as many experiments as desired until enough information is obtained to determine the kinetic mechanism and to calculate values for the kinetic constants.

Algorithms↗
PubMed2005

Surface enzyme kinetics for biopolymer microarrays: a combination of Langmuir and Michaelis-Menten concepts.

Real-time surface plasmon resonance (SPR) imaging measurements of surface enzymatic reactions on DNA microarrays are analyzed using a kinetics model that couples the contributions of both enzyme adsorption and surface enzyme reaction kinetics. For the case of a 1:1 binding of an enzyme molecule (E) to a surface-immobilized substrate (S), the overall enzymatic reaction can be described in terms of classical Langmuir adsorption and Michaelis-Menten concepts and three rate constants: enzyme adsorption (k(a)), enzyme desorption (k(d)) and enzyme catalysis (k(cat)). In contrast to solution enzyme kinetics, the amount of enzyme in solution is in excess as compared to the amount of substrate on the surface. Moreover, the surface concentration of the intermediary enzyme-substrate complex (ES) is not constant with time, but goes to zero as the reaction is completed. However, kinetic simulations show that the fractional surface coverage of ES on the remaining unreacted sites does reach a steady-state value throughout the course of the surface reaction. This steady-state value approaches the Langmuir equilibrium value for cases where k(a)[E] >> k(cat). Experiments using the 3' --> 5' exodeoxyribonuclease activity of Exonuclease III on double-stranded DNA microarrays as a function of temperature and enzyme concentration are used to demonstrate how this model can be applied to quantitatively analyze the SPR imaging data.

Adsorption↗
PubMed1984

The computerized derivation of steady-state rate equations for enzyme kinetics.

A FORTRAN 77 program is described for the derivation of steady-state rate equations for enzyme kinetics. Input is very simple and consists of the two enzyme forms and the two rate constants for each step in the mechanism. The program may be run interactively or off-line. The results are produced after collecting together the algebraic coefficients of like concentration terms, taking account of sign. A fully interactive BASIC version running on a BBC Microcomputer is also available. Details of the programs have been deposited as Supplementary Publication SUP 50126 (45 pages) with the British Library Lending Division, Boston Spa, Wetherby, West Yorkshire LS23 7BQ, U.K., from whom copies may be obtained as indicated in Biochem. J. (1984) 217, 5.

Computers↗
PubMed2006

Integration of enzyme kinetic models and isotopomer distribution analysis for studies of in situ cell operation.

A current trend in neuroscience research is the use of stable isotope tracers in order to address metabolic processes in vivo. The tracers produce a huge number of metabolite forms that differ according to the number and position of labeled isotopes in the carbon skeleton (isotopomers) and such a large variety makes the analysis of isotopomer data highly complex. On the other hand, this multiplicity of forms does provide sufficient information to address cell operation in vivo. By the end of last millennium, a number of tools have been developed for estimation of metabolic flux profile from any possible isotopomer distribution data. However, although well elaborated, these tools were limited to steady state analysis, and the obtained set of fluxes remained disconnected from their biochemical context. In this review we focus on a new numerical analytical approach that integrates kinetic and metabolic flux analysis. The related computational algorithm estimates the dynamic flux based on the time-dependent distribution of all possible isotopomers of metabolic pathway intermediates that are generated from a labeled substrate. The new algorithm connects specific tracer data with enzyme kinetic characteristics, thereby extending the amount of data available for analysis: it uses enzyme kinetic data to estimate the flux profile, and vice versa, for the kinetic analysis it uses in vivo tracer data to reveal the biochemical basis of the estimated metabolic fluxes.

Algorithms↗
PubMed1996

Chemical modification of enzymes: kinetic aspects.

Important information on enzyme ligand interactions can be obtained when analyzing the kinetics of chemical modification reactions. In this article, several kinetic models of inactivation are discussed, along with the determination of enzyme-ligand dissociation constants and of the pK of enzyme reactive groups from chemical modification kinetic data.

Enzyme Activation↗
PubMed2006

Dynamics of muscle glycogenolysis modeled with pH time course computation and pH-dependent reaction equilibria and enzyme kinetics.

Cellular metabolites are moieties defined by their specific binding constants to H+, Mg2+, and K+ or anions without ligands. As a consequence, every biochemical reaction in the cytoplasm has an associated proton stoichiometry that is generally noninteger- and pH-dependent. Therefore, with metabolic flux, pH is altered in a medium with finite buffer capacity. Apparent equilibrium constants and maximum enzyme velocities, which are functions of pH, are also altered. We augmented an earlier mathematical model of skeletal muscle glycogenolysis with pH-dependent enzyme kinetics and reaction equilibria to compute the time course of pH changes. Analysis shows that kinetics and final equilibrium states of the closed system are highly constrained by the pH-dependent parameters. This kinetic model of glycogenolysis, coupled to creatine kinase and adenylate kinase, simulated published experiments made with a cell-free enzyme mixture to reconstitute the network and to synthesize PCr and lactate in vitro. Using the enzyme kinetic and thermodynamic data in the literature, the simulations required minimal adjustments of parameters to describe the data. These results show that incorporation of appropriate physical chemistry of the reactions with accurate kinetic modeling gives a reasonable simulation of experimental data and is necessary for a physically correct representation of the metabolic network. The approach is general for modeling metabolic networks beyond the specific pathway and conditions presented here.

Animals↗
PubMed2002

The incorporation of quantum effects in enzyme kinetics modeling.

We present an overview of new procedures for including quantum mechanical effects in enzyme kinetics. Quantum effects are included in three ways: (1) The electronic structure of the atoms in the catalytic center is treated quantum mechanically in order to calculate a realistic potential energy surface for the bond rearrangement process. (2) The discrete nature of quantum mechanical vibrational energies is incorporated in the treatment of nuclear motion for computing the potential of mean force. (3) Multidimensional tunneling contributions are included. These procedures are illustrated by applications to proton abstractions catalyzed by enolase and methylamine dehydrogenase and hydride-transfer reactions by alcohol dehydrogenase and xylose isomerase.

Catalysis↗
PubMed1990

Cis-trans isomerization of an angiotensin I-converting enzyme inhibitor. An enzyme kinetic and nuclear magnetic resonance study.

The angiotensin I-converting enzyme (peptidyl-dipeptide hydrolase, EC 3.4.15.1) inhibitor, ramiprilat (2-[N-[(S)-1-ethoxycarbonyl-3-phenylpropyl]-L-Ala]-(1S,3S,5S)-2- azabicyclo[3.3.0]octane-3-carboxylic acid), is shown to exist in tow conformational isomers, cis and trans, which interconvert around the amide bond. The two conformers were separated by reversed-phase high-performance liquid chromatography. The conformers were identified by nuclear Overhauser effect measurements. From line shape analysis the isomerization rate constants were determined to be kcis----trans = 15 s-1 and ktrans----cis = 5 s-1 at 368 K in [2H]phosphate buffer (p2H 7.5). By enzyme kinetic studies using 3-(2-furylacryloyl)-L-Phe-Gly-Gly as substrate, the trans conformer was found to be the most potent enzyme inhibitor, whereas the cis conformer had a very low inhibitory effect. A new inhibition mechanism is presented for this type of slow, tight-binding inhibitors that contain an amide bond. This mechanism involves an equilibrium between the two conformers and the enzyme-bound inhibitor complex.

Angiotensin-Converting Enzyme Inhibitors↗
PubMed1984

Kinetic study on the initial stage of the fibrinogen-fibrin conversion by thrombin. (II) Application of enzyme kinetics to turbidimetrical method.

The kinetic treatment of the initial stage of the fibrinogen-fibrin conversion, reported in our preceding paper, was improved. Presuming zero turbidity in the induction period, Ip, of turbidity-time curves, the zero concentration of fibrin monomer at the end of induction period was considered to be constant. At that time, the formation velocity of such smallest polymers of fibrin monomer as detectable by turbidimetry was represented by an equation similar to an equation described in the enzyme kinetics. The constant, Kmp, derived from our equation, corresponding to the Michaelis-Menten constant to be 1.79 X 10(-6) M, which is somewhat smaller than the Michaelis-Menten constant of proteolysis of fibrinogen by thrombin. Thus, it was concluded that practical and handy kinetic assay was possible on the initial stage of the fibrinogen-fibrin conversion.

Animals↗
PubMed2003

Efficient and accurate experimental design for enzyme kinetics: Bayesian studies reveal a systematic approach.

In areas such as drug development, clinical diagnosis and biotechnology research, acquiring details about the kinetic parameters of enzymes is crucial. The correct design of an experiment is critical to collecting data suitable for analysis, modelling and deriving the correct information. As classical design methods are not targeted to the more complex kinetics being frequently studied, attention is needed to estimate parameters of such models with low variance. We demonstrate that a Bayesian approach (the use of prior knowledge) can produce major gains quantifiable in terms of information, productivity and accuracy of each experiment. Developing the use of Bayesian Utility functions, we have used a systematic method to identify the optimum experimental designs for a number of kinetic model data sets. This has enabled the identification of trends between kinetic model types, sets of design rules and the key conclusion that such designs should be based on some prior knowledge of K(M) and/or the kinetic model. We suggest an optimal and iterative method for selecting features of the design such as the substrate range, number of measurements and choice of intermediate points. The final design collects data suitable for accurate modelling and analysis and minimises the error in the parameters estimated.

Bayes Theorem↗