Starting D-optimal designs for batch kinetic studies of enzyme-catalyzed reactions in the presence of enzyme deactivation
| Autor: | Malcata Fx |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1992 |
| Předmět: |
Statistics and Probability
chemistry.chemical_classification General Immunology and Microbiology Enzyme catalyzed Quantitative Biology::Molecular Networks Applied Mathematics Design of experiments Kinetics Substrate (chemistry) General Medicine D optimal General Biochemistry Genetics and Molecular Biology Catalysis Quantitative Biology::Subcellular Processes Enzyme chemistry Computational chemistry General Agricultural and Biological Sciences Dimensionless quantity |
| Zdroj: | Biometrics. 48(3):929-938 |
| ISSN: | 1541-0420 0006-341X |
| Popis: | This paper describes a strategy for the starting experimental design of experiments required by general research in the field of biochemical kinetics. The type of experiments that qualify for this analysis involve batch reactions catalyzed by soluble enzymes where the activity of the enzyme decays with time. Assuming that the catalytic action of the enzyme obeys a Michaelis-Menten rate expression and that the deactivation of the enzyme follows a first-order decay, the present analysis employs the dimensionless, integrated form of the overall rate expression to obtain a criterion (based on the maximization of the determinant of the derivative matrix) that relates the a priori estimates of the parameters with the times at which samples should be withdrawn from the reacting mixture. The analysis indicates that the initial concentration of substrate should be as large as possible, and that the samples should be taken at times corresponding to substrate concentrations of approximately 2/3, 1/4, and I/epsilon of the initial concentration (where epsilon should be as large as possible). |
| Databáze: | OpenAIRE |
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