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On the kinetics of enzyme reactions
Bulletin of Mathematical Biology, 1978The Abel type differential equation governing the kinetics of the enzyme reactions is derived. Approximate solutions of this equation corresponding to the transient phase of the reaction, before a steady state is reached, are considered. It is shown that in several cases it is possible to obtain explicit, approximate solutions to the transient phase.
Darvey, I. G., Klotz, A. H., Ritter, M.
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Fundamentals of Enzyme Kinetics
2014This chapter provides a general introduction to the kinetics of enzyme-catalyzed reactions, with a focus on drug-metabolizing enzymes. A prerequisite to understanding enzyme kinetics is having a clear grasp of the meanings of "enzyme" and "catalysis." Catalysts are reagents that can increase the rate of a chemical reaction without being consumed in the
Eleanore, Seibert, Timothy S, Tracy
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Bulletin of Mathematical Biology, 1974
Classical enzymology ignores the role which cellular membranes may play in regulating reaction kinetics in vivo. The correct description of cellular metabolic processes must derive from a mass balance equation for each reacting species. An elementary mathematical model, called the “continuous flow stirred tank reactor” in the chemical engineering ...
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Classical enzymology ignores the role which cellular membranes may play in regulating reaction kinetics in vivo. The correct description of cellular metabolic processes must derive from a mass balance equation for each reacting species. An elementary mathematical model, called the “continuous flow stirred tank reactor” in the chemical engineering ...
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An introduction to enzyme kinetics
Journal of Chemical Education, 1974The purpose of this paper is to present a simple, intuitive, yet accurate introduction to some of the fundamental concepts of enzyme kinetics. The experimental definitions of competitive, uncompetitive, and noncompetitive inhibition will be given, and a simple mechanistic model will be presented for each case.
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A cellular automata model of enzyme kinetics
We have developed a cellular automata model of an enzyme reaction with a substrate in water. The model produces Michaelis-Menten kinetics with good Lineweaver-Burk plots.
Lemont B Kier +2 more
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Implications of enzyme kinetics
Biochemical Society Transactions, 2003Of the many examples of oscillatory kinetic behaviour known, several are briefly reviewed, including those of glycolysis, the peroxidase–oxidase reaction and oscillations in cellular calcium concentration. It is shown that simple mathematical models employing allosteric rate laws are sufficient to explain the instability of the steady state and the ...
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Biochimica et Biophysica Acta, 1957
Abstract The differential equation describing the Michaelis-Menten scheme is modified by a change of time and concentration units so as to contain only one rate parameter. In this form it is solved numerically. Solutions are obtained by the “steady state” and “pre-steady state” approximations and are compared with the numerical solutions. Methods are
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Abstract The differential equation describing the Michaelis-Menten scheme is modified by a change of time and concentration units so as to contain only one rate parameter. In this form it is solved numerically. Solutions are obtained by the “steady state” and “pre-steady state” approximations and are compared with the numerical solutions. Methods are
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Enzyme kinetics in relation to enzyme inhibitors
Biochemical Pharmacology, 1973Abstract A Large number of pharmacologically important compounds have been found to act as enzyme inhibitors and a kinetic study of the inhibitory process can provide important information on the potency of the compound and on its mode of interaction with the enzyme.
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Science, 1966
Enzyme amplifier systems have been implicated in such diverse physiological phenomena as vision and blood coagulation. Such systems are considered from a general point of view and the concept of steady state gain of the enzyme amplifier is introduced.
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Enzyme amplifier systems have been implicated in such diverse physiological phenomena as vision and blood coagulation. Such systems are considered from a general point of view and the concept of steady state gain of the enzyme amplifier is introduced.
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Kinetic Measurements for Enzyme Immobilization
2010Enzyme kinetics is the study of the chemical reactions that are catalyzed by enzymes, with a focus on their reaction rates. The study of an enzyme's kinetics considers the various stages of activity, reveals the catalytic mechanism of the enzyme, correlates its value to assay conditions, and describes how a drug or a poison might inhibit the enzyme ...
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