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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
Verlag: World Scientific, 2013

Inhaltsangabe

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.

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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.

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Verlag
World Scientific
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
9814522228
ISBN 13 
9789814522229
Einband
Gebundene Ausgabe
Anzahl der Seiten
350
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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