Splines And Compartment Models: An Introduction
Author:   Karl-ernst Erich Biebler (Ernst Moritz Arnst Univ Of Greifswald, Germany) ,  Michael Wodny (Ernst Moritz Arnst Univ Of Greifswald, Germany)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814522229


Pages:   348
Publication Date:   18 September 2013
Format:   Hardback
Availability:   In Print   Availability explained
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Splines And Compartment Models: An Introduction


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Overview

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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Author:   Karl-ernst Erich Biebler (Ernst Moritz Arnst Univ Of Greifswald, Germany) ,  Michael Wodny (Ernst Moritz Arnst Univ Of Greifswald, Germany)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.20cm , Height: 2.30cm , Length: 22.90cm
Weight:   0.576kg
ISBN:  

9789814522229


ISBN 10:   9814522228
Pages:   348
Publication Date:   18 September 2013
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Interpolating Splines of Degree n; Interpolating Cubic Splines; Interpolating Cubic Splines with Several Extreme Characteristics; Smoothing Cubic Splines; Estimation of Smoothing Parameters; Interpolating Quadratic Splines; Smoothing Quadratic Splines; Splines and Average Functions; Compartment Models; Calculability and Identifiability; Compartment Models and Associated Residence Time Distributions; Calculation Methods Related to Compartment Models; Varied Minimum Chi-square Parameter Estimation; Pharmacokinetics for Multiple Applications; Mathematica(R) Programs for Selected Problems.

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