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发表于 2013-10-5 11:23:28 |只看该作者 |倒序浏览
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题名: Splines and Compartment Models: An Introduction
作者: Karl-Ernst Biebler (Author), Michael Wodny (Author)
出版社: World Scientific Publishing Company
出版日期: September 19, 2013
ISBN: 978-9814522229
附属页: 齐全
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格式: 图版PDF
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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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