Splines and compartment models: an introduction
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Hackensack] New Jersey
World Scientific
[2013]
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| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Description based on print version record |
| Physical Description: | 1 online resource (xiii, 334 pages) illustrations |
| ISBN: | 9789814522229 9789814522236 9814522228 9814522236 |
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MARC
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| 082 | 0 | |a 511.42 |2 23 | |
| 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 [Hackensack] New Jersey |b World Scientific |c [2013] | |
| 264 | 4 | |c © 2013 | |
| 300 | |a 1 online resource (xiii, 334 pages) |b illustrations | ||
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| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Description based on print version record | ||
| 505 | 8 | |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 | |
| 505 | 8 | |a Why spline functions? -- Interpolating splines of degree n -- Interpolating cubic splines -- Smoothing natural cubic splines and the choice of the smoothing parameter -- Interpolating quadratic splines -- Interpolating quadratic splines and paraboles -- Smoothing quadratic splines -- Splines and averaged functions -- Concept of a context related mathematical pharmacokinetical model -- Compartment models -- Other deterministic models -- Calculability and identifiability -- Compartment models and associated residence time distributions -- Other stochastic models -- Calculating methods related to compartment models -- Selection of pharmacokinetic models -- Pharmacokinetics for multiple applications -- Mathematica programs for selected problems | |
| 650 | 7 | |a MATHEMATICS / General |2 bisacsh | |
| 650 | 4 | |a Mathematisches Modell | |
| 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 |a Biebler, Karl-Ernst |t Splines and compartment models |
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Record in the Search Index
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| any_adam_object | |
| author | Biebler, Karl-Ernst |
| author_facet | Biebler, Karl-Ernst |
| author_role | aut |
| author_sort | Biebler, Karl-Ernst |
| author_variant | k e b keb |
| building | Verbundindex |
| bvnumber | BV043040064 |
| collection | ZDB-4-EBA |
| contents | 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 Why spline functions? -- Interpolating splines of degree n -- Interpolating cubic splines -- Smoothing natural cubic splines and the choice of the smoothing parameter -- Interpolating quadratic splines -- Interpolating quadratic splines and paraboles -- Smoothing quadratic splines -- Splines and averaged functions -- Concept of a context related mathematical pharmacokinetical model -- Compartment models -- Other deterministic models -- Calculability and identifiability -- Compartment models and associated residence time distributions -- Other stochastic models -- Calculating methods related to compartment models -- Selection of pharmacokinetic models -- Pharmacokinetics for multiple applications -- Mathematica programs for selected problems |
| ctrlnum | (OCoLC)861528211 (DE-599)BVBBV043040064 |
| dewey-full | 511.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.42 |
| dewey-search | 511.42 |
| dewey-sort | 3511.42 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043040064 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:15:44Z |
| institution | BVB |
| isbn | 9789814522229 9789814522236 9814522228 9814522236 |
| language | English |
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| physical | 1 online resource (xiii, 334 pages) illustrations |
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| publishDate | 2013 |
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| publisher | World Scientific |
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| spelling | Biebler, Karl-Ernst Verfasser aut Splines and compartment models an introduction Karl-Ernst Biebler, Michael Wodny [Hackensack] New Jersey World Scientific [2013] © 2013 1 online resource (xiii, 334 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Description based on print version record 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 Why spline functions? -- Interpolating splines of degree n -- Interpolating cubic splines -- Smoothing natural cubic splines and the choice of the smoothing parameter -- Interpolating quadratic splines -- Interpolating quadratic splines and paraboles -- Smoothing quadratic splines -- Splines and averaged functions -- Concept of a context related mathematical pharmacokinetical model -- Compartment models -- Other deterministic models -- Calculability and identifiability -- Compartment models and associated residence time distributions -- Other stochastic models -- Calculating methods related to compartment models -- Selection of pharmacokinetic models -- Pharmacokinetics for multiple applications -- Mathematica programs for selected problems MATHEMATICS / General bisacsh Mathematisches Modell Spline theory Mathematical models Wodny, Michael Sonstige oth Erscheint auch als Druck-Ausgabe Biebler, Karl-Ernst Splines and compartment models http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=637074 Aggregator Volltext |
| spellingShingle | Biebler, Karl-Ernst 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 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 Why spline functions? -- Interpolating splines of degree n -- Interpolating cubic splines -- Smoothing natural cubic splines and the choice of the smoothing parameter -- Interpolating quadratic splines -- Interpolating quadratic splines and paraboles -- Smoothing quadratic splines -- Splines and averaged functions -- Concept of a context related mathematical pharmacokinetical model -- Compartment models -- Other deterministic models -- Calculability and identifiability -- Compartment models and associated residence time distributions -- Other stochastic models -- Calculating methods related to compartment models -- Selection of pharmacokinetic models -- Pharmacokinetics for multiple applications -- Mathematica programs for selected problems MATHEMATICS / General bisacsh Mathematisches Modell 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 | MATHEMATICS / General bisacsh Mathematisches Modell Spline theory Mathematical models |
| topic_facet | MATHEMATICS / General Mathematisches Modell Spline theory Mathematical models |
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