Items related to SPLINES AND COMPARTMENT MODELS: AN INTRODUCTION

SPLINES AND COMPARTMENT MODELS: AN INTRODUCTION - Hardcover

Biebler, Karl-Ernst; Wodny, Michael

 
9789814522229: SPLINES AND COMPARTMENT MODELS: AN INTRODUCTION
Hardcover
ISBN 10: 9814522228 ISBN 13: 9789814522229
Publisher: World Scientific, 2013

Synopsis

This book presents methods of mathematical modeling from two points of view. Splines provide a general approach while compartment models serve as examples for context related to modeling. The preconditions and characteristics of the developed mathematical models as well as the conditions surrounding data collection and model fit are taken into account. The substantial statements of this book are mathematically proven. The results are ready for application with examples and related program codes given.In this book, splines are algebraically developed such that the reader or user can easily understand and vary the numerical construction of the different kinds of spline functions. The classical compartment models of the pharmacokinetics are systematically analyzed and connected with lifetime distributions. As such, parameter estimation and model fit can be treated statistically with a varied minimum chi-square method. This method is applicable for single kinetics and also allows the calculation of average kinetics.

"synopsis" may belong to another edition of this title.

From the Back Cover

This book presents methods of mathematical modeling from two points of view. Splines provide a general approach while compartment models serve as examples for context related to modeling. The preconditions and characteristics of the developed mathematical models as well as the conditions surrounding data collection and model fit are taken into account. The substantial statements of this book are mathematically proven. The results are ready for application with examples and related program codes given.

In this book, splines are algebraically developed such that the reader or user can easily understand and vary the numerical construction of the different kinds of spline functions. The classical compartment models of the pharmacokinetics are systematically analyzed and connected with lifetime distributions. As such, parameter estimation and model fit can be treated statistically with a varied minimum chi-square method. This method is applicable for single kinetics and also allows the calculation of average kinetics.

"About this title" may belong to another edition of this title.

Publisher
World Scientific
Publication date
2013
Language
English
ISBN 10 
9814522228
ISBN 13 
9789814522229
Binding
Hardcover
Number of pages
350