{"product_id":"optimal-experimental-designs-for-pharmacokinetic-models-von-paula-camelia-trandafir-jesus-lopez-fidalgo","title":"Optimal Experimental Designs for Pharmacokinetic Models","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659815553\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659815553","offer_id":39450638975069,"sku":"9783659815553","price":36.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6cf9a0b0-1ad3-45b0-9033-d54ba0de5344.jpg?v=1773812652","url":"https:\/\/shop.autorenwelt.de\/products\/optimal-experimental-designs-for-pharmacokinetic-models-von-paula-camelia-trandafir-jesus-lopez-fidalgo","provider":"Autorenwelt Shop","version":"1.0","type":"link"}