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9789814522229

Splines and Compartment Models

by  Karl-Ernst Biebler, Michael Wodny


ISBN-10: 9814522228

ISBN-13: 9789814522229

$140.03




Book Specs



Binding

Trade Cloth

Publisher

World Scientific Pub Co Inc

Published on  

Aug 4, 2013

Edition  

1st Edition

Dimensions  

6.25x1.00x9.00 Inches

Weight  

1.27 Pounds

About the Book

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.--