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Optimal Experimental Designs for Pharmacokinetic Models.
В наличии
Местонахождение: Алматы | Состояние экземпляра: новый |
Бумажная
версия
версия
Автор: Paula Camelia Trandafir and Jes?s L?pez -Fidalgo
ISBN: 9783659815553
Год издания: 2016
Формат книги: 60×90/16 (145×215 мм)
Количество страниц: 132
Издательство: LAP LAMBERT Academic Publishing
Цена: 24314 тг
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Аннотация: In this book we provide extensions to experimental designs based on variations of the Michaelis-Menten model used in the study of pharmacokinetic processes. New optimal designs have been found for the modification of the Michaelis-Menten model consisting of adding a linear term to the initial model. In the homoscedastic and heteroscedastic cases are obtained the D-optimal designs. The concept of T-optimality is used to deal with the problem choosing a model before having the data, as opposed to after performing a statistical hypothesis test. We obtain T-optimal designs for discriminating between two homoscedastic models with normal distributions. We have found, by extrapolation, a new criterion for discriminating between two non-normal models, which we have called the KL-criterion, seeing as it is defined in terms of the Kullback-Leibler distance. It is applied to discriminate between a Michaelis-Menten model and its modifications, where the former has a log-normal distribution and the latter a gamma distribution. The KL-criterion generalizes the previous criteria found in the literature for multi-response heteroscedastic models as well as for binary and generalized models.
Ключевые слова: D-optimal design, Efficiency, Gamma distribution, T-Optimality, Non-linear models, Michaelis–Menten model, Pharmacokinetic models, c-, Compound designs, Kullback–Leibler distance, Log-normal distribution