Splines and compartment models: an introduction
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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2013
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| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | xiii, 334 p. ill |
| ISBN: | 9789814522236 |
Internformat
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| 100 | 1 | |a Biebler, Karl-Ernst |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Splines and compartment models |b an introduction |c Karl-Ernst Biebler, Michael Wodny |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2013 | |
| 300 | |a xiii, 334 p. |b ill | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b cr |2 rdacarrier | ||
| 520 | |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 | ||
| 650 | 4 | |a Spline theory | |
| 650 | 4 | |a Mathematical models | |
| 700 | 1 | |a Wodny, Michael |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9789814522229 |
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Datensatz im Suchindex
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| author | Biebler, Karl-Ernst |
| author_facet | Biebler, Karl-Ernst |
| author_role | aut |
| author_sort | Biebler, Karl-Ernst |
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| bvnumber | BV044639489 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00003504 (OCoLC)1012623687 (DE-599)BVBBV044639489 |
| dewey-full | 511.422 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.422 |
| dewey-search | 511.422 |
| dewey-sort | 3511.422 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044639489 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:55Z |
| institution | BVB |
| isbn | 9789814522236 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030037462 |
| oclc_num | 1012623687 |
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| physical | xiii, 334 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | World Scientific Pub. Co. |
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| spelling | Biebler, Karl-Ernst Verfasser aut Splines and compartment models an introduction Karl-Ernst Biebler, Michael Wodny Singapore World Scientific Pub. Co. c2013 xiii, 334 p. ill txt rdacontent c rdamedia cr rdacarrier 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 Spline theory Mathematical models Wodny, Michael Sonstige oth Erscheint auch als Druck-Ausgabe 9789814522229 http://www.worldscientific.com/worldscibooks/10.1142/8855#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Biebler, Karl-Ernst Splines and compartment models an introduction Spline theory Mathematical models |
| title | Splines and compartment models an introduction |
| title_auth | Splines and compartment models an introduction |
| title_exact_search | Splines and compartment models an introduction |
| title_full | Splines and compartment models an introduction Karl-Ernst Biebler, Michael Wodny |
| title_fullStr | Splines and compartment models an introduction Karl-Ernst Biebler, Michael Wodny |
| title_full_unstemmed | Splines and compartment models an introduction Karl-Ernst Biebler, Michael Wodny |
| title_short | Splines and compartment models |
| title_sort | splines and compartment models an introduction |
| title_sub | an introduction |
| topic | Spline theory Mathematical models |
| topic_facet | Spline theory Mathematical models |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8855#t=toc |
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