Verfügbarkeit: Regularized estimation and model selection in compartment models

Regularized estimation and model selection in compartment models:

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Bibliographische Detailangaben
Beteilige Person:	Sommer, Julia C. (VerfasserIn)
Format:	Hochschulschrift/Dissertation Buch
Sprache:	Englisch
Veröffentlicht:	München Verl. Dr. Hut 2013
Ausgabe:	1. Aufl.
Schriftenreihe:	Statistik
Schlagwörter:	Parameterschätzung Kompartimentmodell Hochschulschrift
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=4371980&prov=M&dok_var=1&dok_ext=htm https://nbn-resolving.org/urn:nbn:de:bvb:19-157673 http://edoc.ub.uni-muenchen.de/15767/ http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026117666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XVI, 142 S. Ill., graph. Darst. 210 mm x 148 mm, 272 g
ISBN:	9783843910385 3843910383

Internformat

MARC


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Datensatz im Suchindex

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adam_text	IMAGE 1 CONTENTS LIST O F ABBREVIATIONS X V 1 INTRODUCTION 1 2 COMPARTMENT MODELS 5 2.1 APPLICATIONS 5 2.2 COMPARTMENT MODELS: ASSUMPTIONS AND MODEL EQUATIONS 6 2.3 ON INFERENCE AND PARAMETER IDENTIFIABILITY IN COMPARTMENT MODELS 11 3 INTRODUCTION T O THE ANALYSIS O F DCE-MRI 19 3.1 DCE-MRI: PHYSICAL AND PHYSIOLOGICAL BACKGROUND 19 3.2 COMPARTMENT MODELS FOR DCE-MRI 23 3.2.1 ONE TISSUE COMPARTMENT MODEL (ICOMP): TOFTS AND EXTENDED TOFTS MODEL 23 3.2.2 TWO TISSUE AND MULTI TISSUE COMPARTMENT MODEL (2COMP AND QCOMP) 27 3.3 DCE-MRI DATA FROM A BREAST CANCER STUDY 32 4 BAYESIAN INDEPENDENT ESTIMATION PER VOXEL 35 4.1 METHODS 36 4.1.1 BAYESIAN ICOMP MODEL VOXEL WISE 36 4.1.2 BAYESIAN 2COMP MODEL VOXELWISE 37 4.1.3 IMPLEMENTATION 37 4.1.4 MEASURE OF MODEL FIT AND COMPLEXITY 38 4.1.5 REDUNDANCY ISSUES IN THE INDEPENDENT VOXELWISE MODEL 40 4.1.6 SIMULATION AND DATA 41 4.2 RESULTS 41 4.2.1 SIMULATION RESULTS 41 4.2.2 DCE-MRI BREAST CANCER STUDY 45 4.3 CONCLUSIONS 50 5 BAYESIAN SPATIAL REGULARIZATION 5 1 5.1 METHODS 52 5.1.1 BAYESIAN 2COMP MODEL VOXELWISE 52 HTTP://D-NB.INFO/1036471101 IMAGE 2 C O N T E N T S 5.1.2 SPATIAL BAYESIAN 2COMP MODEL 53 5.1.3 IMPLEMENTATION 54 5.1.4 MEASURE OF MODEL COMPLEXITY 55 5.2 SIMULATION STUDY 55 5.2.1 SIMULATION SETUP 55 5.2.2 RESULTS 56 5.3 DCE-MRI BREAST CANCER STUDY 62 5.4 CONCLUSION AND DISCUSSION 66 6 SPATIALLY PENALIZED ML-ESTIMATION AND MODEL SELECTION 6 9 6.1 INTRODUCTION 69 6.2 METHODS 71 6.2.1 MULTI TISSUE COMPARTMENT MODEL 71 6.2.2 VOXELWISE REGULARIZED ESTIMATION 71 6.2.3 SPATIALLY REGULARIZED ESTIMATION 73 6.3 SIMULATION STUDY 75 6.3.1 SIMULATION SETUP 75 6.3.2 RESULTS 75 6.4 DCE-MRI BREAST CANCER STUDY 80 6.5 CONCLUSION AND DISCUSSION 84 7 BAYESIAN MODEL SELECTION WITH REVERSIBLE J U M P M C M C 8 5 7.1 INTRODUCTION 85 7.2 METHODS 87 7.2.1 COMPARTMENT MODEL 87 7.2.2 BAYESIAN NONLINEAR REGRESSION MODEL 87 7.2.3 REGULARIZING PRIOR ON EXPONENTIAL RATES 88 7.2.4 RJMCMC ON NUMBER OF COMPARTMENTS 89 7.2.5 SAMPLING 91 7.3 SIMULATION STUDY 92 7.3.1 SIMULATION RESULTS USING A UNIFORM PRIOR ON THE EXPONENTIAL RATES . . 93 7.3.2 SIMULATION RESULTS USING A REGULARIZING PRIOR ON THE EXPONENTIAL RATES 96 7.4 APPLICATION: ANALYSIS OF MOLECULAR BINDING IN A FRAP EXPERIMENT 98 7.4.1 BIOLOGICAL BACKGROUND, EXPERIMENTAL SETUP AND MOTIVATION 98 7.4.2 RESULTS 100 7.4.3 SENSITIVITY ANALYSIS 100 7.5 CONCLUSION AND DISCUSSION 107 8 SUMMARY AND DISCUSSION 109 A CALCULATING REDUNDANCY IN SUMS O F (CONVOLVED) EXPONENTIALS 115 A.L CONVOLVED EXPONENTIALS 115 A. 1.1 BI-EXPONENTIAL INPUT FUNCTION 115 IMAGE 3 C O N T E N T S XIII A.1.2 CONSTANT INPUT FUNCTION 116 A.2 REDUNDANCY MEASURE IN SUM OF EXPONENTIALS 116 A.3 REDUNDANCY MEASURE IN SUM OF CONVOLVED EXPONENTIALS 119 A.3.1 CALCULATION OF INTEGRALS 121 B DETAILS IN REVERSIBLE JUMP M C M C BIRTH AND DEATH TRANSFORMATIONS 129 B.L DETERMINANTS OF JACOBIAN MATRICES FOR BIRTH AND DEATH TRANSFORMATIONS . . 129 B.2 DERIVATION OF BIRTH AND DEATH TRANSFORMATION 130 BIBLIOGRAPHY 133
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series2	Statistik
spellingShingle	Sommer, Julia C. Regularized estimation and model selection in compartment models Parameterschätzung (DE-588)4044614-1 gnd Kompartimentmodell (DE-588)4588313-0 gnd
subject_GND	(DE-588)4044614-1 (DE-588)4588313-0 (DE-588)4113937-9
title	Regularized estimation and model selection in compartment models
title_auth	Regularized estimation and model selection in compartment models
title_exact_search	Regularized estimation and model selection in compartment models
title_full	Regularized estimation and model selection in compartment models Julia C. Sommer
title_fullStr	Regularized estimation and model selection in compartment models Julia C. Sommer
title_full_unstemmed	Regularized estimation and model selection in compartment models Julia C. Sommer
title_short	Regularized estimation and model selection in compartment models
title_sort	regularized estimation and model selection in compartment models
topic	Parameterschätzung (DE-588)4044614-1 gnd Kompartimentmodell (DE-588)4588313-0 gnd
topic_facet	Parameterschätzung Kompartimentmodell Hochschulschrift
url	http://deposit.dnb.de/cgi-bin/dokserv?id=4371980&prov=M&dok_var=1&dok_ext=htm https://nbn-resolving.org/urn:nbn:de:bvb:19-157673 http://edoc.ub.uni-muenchen.de/15767/ http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026117666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT sommerjuliac regularizedestimationandmodelselectionincompartmentmodels

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