Optimal Design for Nonlinear Response Models

ISBN-13: 9780367379803 / Angielski / Miękka / 2019 / 402 str.

Valerii V. Fedorov; Sergei L. Leonov

Opis

Drawing on the authors’ many years of experience in academia and the pharmaceutical industry, this book discusses the theory and applications of model-based experimental design with a strong emphasis on biopharmaceutical studies. While the focus is on nonlinear models, the book begins with an explanation of the key ideas, using linear models as examples. Applying the linearization in the parameter space, it then covers nonlinear models and locally optimal designs as well as minimax, optimal on average, and Bayesian designs. The authors also discuss adaptive designs, focusing on procedures with non-informative stopping.

Spis treści

Regression Models and Their Analysis. Convex Design Theory. Algorithms and Numerical Techniques. Optimal Design under Constraints. Nonlinear Response Models. Locally Optimal Designs in Dose Finding. Examples of Optimal Designs in PK/PD Studies. Adaptive Model-Based Designs. Other Applications of Optimal Designs. Useful Matrix Formulae. Bibliography. Index.

O autorze

Valerii Fedorov, PhD, is Vice President of Predictive Analytics, Innovation at Quintiles.

Sergei Leonov, PhD, is a Senior Principal Scientist at AstraZeneca.