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Splines and compartment models[elect...

Biebler, Karl-Ernst.

Splines and compartment models[electronic resource] :an introduction /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	511.8
書名/作者:	Splines and compartment models : an introduction // Karl-Ernst Biebler, Michael Wodny.
作者:	Biebler, Karl-Ernst.
其他作者:	Wodny, Michael.
出版者:	Singapore ; : World Scientific,, c2013.
面頁冊數:	1 online resource (xiii, 334 p.) : : ill.
標題:	Mathematical models.
標題:	Spline theory - Mathematical models.
標題:	Interpolation - Mathematical models.
ISBN:	9789814522236
書目註:	Includes bibliographical references (p. 319-330) and index.
摘要、提要註:	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.
電子資源:	http://www.worldscientific.com/worldscibooks/10.1142/8855#t=toc

Splines and compartment models[electronic resource] :an 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: 9789814522236Subjects--Topical Terms:

175949
Mathematical models.

LC Class. No.: QA401 / .B543 2013

Dewey Class. No.: 511.8

Splines and compartment models[electronic resource] :an introduction /
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020 $a 9789814522236 $q (electronic bk.)
020 $z 9814522228
020 $z 9789814522229
035 $a (OCoLC)850182963
035 $a 850182963
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050 4 $a QA401 $b .B543 2013
082 0 4 $a 511.8 $2 23
100 1 $a Biebler, Karl-Ernst. $3 709327
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 175949
650 0 $a Spline theory $x Mathematical models. $3 709329
650 0 $a Interpolation $x Mathematical models. $3 709330
700 1 $a Wodny, Michael. $3 709328
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/8855#t=toc

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