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Splines and compartment modelsan int...

Biebler, Karl-Ernst.

Splines and compartment modelsan introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Splines and compartment modelsKarl-Ernst Biebler, Michael Wodny.
Reminder of title:	an introduction /
Author:	Biebler, Karl-Ernst.
other author:	Wodny, Michael.
Published:	Singapore ;World Scientific,c2013.
Description:	1 online resource (xiii, 334 p.) :ill.
Subject:	Mathematical models.
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/8855#t=toc
ISBN:	9789814522236$q(electronic bk.)

Splines and compartment modelsan introduction /
Biebler, Karl-Ernst.

Splines and compartment modelsan introduction /[electronic resource] :Karl-Ernst Biebler, Michael Wodny. - 1st ed. - Singapore ;World Scientific,c2013. - 1 online resource (xiii, 334 p.) :ill.

Includes bibliographical references (p. 319-330) and index.

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.

ISBN: 9789814522236$q(electronic bk.)Subjects--Topical Terms:

182479
Mathematical models.

LC Class. No.: QA401 / .B543 2013

Dewey Class. No.: 511.8

Splines and compartment modelsan introduction /
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100 1 $a Biebler, Karl-Ernst. $3 811629
245 1 0 $a Splines and compartment models $h [electronic resource] : $b an introduction / $c Karl-Ernst Biebler, Michael Wodny.
250 $a 1st ed.
260 $a Singapore ; $a Hackensack, NJ : $b World Scientific, $c c2013.
300 $a 1 online resource (xiii, 334 p.) : $b ill.
504 $a Includes bibliographical references (p. 319-330) and index.
520 3 $a 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.
588 $a Description based on print version record.
650 0 $a Mathematical models. $3 182479
650 0 $a Spline theory $x Mathematical models. $3 811631
650 0 $a Interpolation $x Mathematical models. $3 811632
700 1 $a Wodny, Michael. $3 811630
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/8855#t=toc