Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Leipzig
MPI
2003
|
| Series: | MPI series in cognitive neuroscience
39 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xi, 255 Seiten Illustrationen, Diagramme |
| ISBN: | 3936816115 |
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MARC
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| 100 | 1 | |a Wolters, Carsten H. |d 1967- |e Verfasser |0 (DE-588)124921124 |4 aut | |
| 245 | 1 | 0 | |a Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain |c Carsten H. Wolters [Max Planck Institute of Cognitive Neuroscience] |
| 264 | 1 | |a Leipzig |b MPI |c 2003 | |
| 300 | |a xi, 255 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a MPI series in cognitive neuroscience |v 39 | |
| 502 | |b Dissertation |c Fakultät für Mathematik und Informatik, Universität Leipzig |d 2003 | ||
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CONTENTS
1
INTRODUCTION
1
1.1
EEG/MEG
SOURCE
RECONSTRUCTION
.
1
1.2
SCOPE
OF
THIS
THESIS
.
5
1.3
OVERVIEW
OF
APPLICATIONS
OF
SOURCE
RECONSTRUCTION
.
6
2
REGISTRATION
AND
SEGMENTATION
OF
MRI
9
2.1
INTRODUCTION
.
9
2.2
BASIC
DEFINITIONS
AND
OPERATIONS
.
11
2.2.1
DEFINITIONS
OF
IMAGES
AND
MESHES
.
11
2.2.2
OPERATIONS
ON
IMAGES
AND
MESHES
.
14
2.3
DATA
ACQUISITION
.
21
2.4
REGISTRATION
.
22
2.4.1
TRANSFORMATION
.
23
2.4.2
THE
MUTUAL
INFORMATION
.
24
2.4.3
OPTIMIZATION
.
25
2.4.4
REGISTRATION
RESULTS
.
27
2.5
SEGMENTATION
OF
MR-IMAGES
.
30
2.5.1
UNSUPERVISED
CLUSTERING
.
31
2.5.2
FUZZY
SEGMENTATION
IN
THE
PRESENCE
OF
INTENSITY
INHOMO
GENEITIES
.
32
2.5.3
CONTEXTUAL
SEGMENTATION
.
36
2.5.4
REFINEMENT
BY
MEANS
OF
A
DEFORMABLE
MODEL
.
37
2.5.5
SEGMENTATION
RESULTS
.
39
2.6
SCRIPTS
FOR
MULTICOMPARTMENT
HEAD
MODELING
.
44
2.6.1
EXTRACTION
OF
THE
HEAD
SURFACE
.
44
2.6.2
GENERATION
OF
BRAIN
AND
WHITE
MATTER
MASKS
.
46
2.6.3
IMPROVED
SEGMENTATION
OF
THE
INNER
SKULL
SURFACE
.
51
2.6.4
MODELING
THE
OUTER
SKULL
SURFACE
.
56
2.6.5
GENERATION
OF
MULTI
COMPARTMENT
HEAD
MODELS
.
58
2.7
SUMMARY
AND
CONCLUSIONS
.
60
VI
CONTENTS
3
MODELING
TISSUE
CONDUCTIVITY
ANISOTROPY
65
3.1
INTRODUCTION
.
65
3.2
NOTION
OF
A
TENSOR
.
66
3.3
MODELING
THE
SKULL
CONDUCTIVITY
ANISOTROPY
.
68
3.3.1
DETERMINATION
OF
THE
TENSOR
EIGENVECTORS
.
69
3.3.2
DETERMINATION
OF
THE
TENSOR
EIGENVALUES
.
70
3.4
MODELING
WHITE
MATTER
CONDUCTIVITY
ANISOTROPY
.
72
3.4.1
DEFINITION
OF
THE
SELF-DIFFUSION
TENSOR
.
73
3.4.2
THE
DIFFERENTIAL
EFFECTIVE
MEDIUM
APPROACH
.
74
3.4.3
RELATING
CONDUCTIVITY
AND
DIFFUSION
TENSOR
EIGENVALUES
.
76
3.4.4
GENERATION
OF
REALISTIC
WHITE
MATTER
CONDUCTOR
MODELS
.
76
3.5
SUMMARY
AND
CONCLUSIONS
.
80
4
THE
FORWARD
PROBLEM
81
4.1
INTRODUCTION
.
81
4.2
THE
MAXWELL
EQUATIONS
.
82
4.3
THE
PRIMARY
CURRENTS
.
83
4.4
THE
ELECTRIC
FORWARD
PROBLEM
.
84
4.4.1
THE
SUBTRACTION
APPROACH
.
85
4.4.2
THE
DIRECT
APPROACH
.
86
4.5
THE
MAGNETIC
FORWARD
PROBLEM
.
86
4.6
THE
POTENTIAL
IN
A
MULTILAYER
SPHERE
MODEL
.
87
4.6.1
SERIES
EXPANSION
FORMULAS
FOR
A
MONOPOLE
SOURCE
.
88
4.6.2
SERIES
EXPANSION
FORMULAS
FOR
A
DIPOLE
SOURCE
.
88
4.7
FE
FORMULATION
AND
DISCRETIZATION
ASPECTS
.
89
4.7.1
VARIATIONAL
FORMULATION
.
89
4.7.2
RITZ-GALERKIN
APPROACH
.
91
4.7.3
VOLUME
CONDUCTOR
FE MESH
GENERATION
.
92
4.7.4
FE
FORMULATION
FOR
EEG
FORWARD
PROBLEM
.
95
4.7.5
FE
FORMULATION
FOR
MEG FORWARD
COMPUTATION
.
98
4.8
DEFINITION
OF
FORWARD
MODELS
AND
ERROR
CRITERIA
.
99
4.8.1
SUMMARY
OF
FORMER
VALIDATIONS
.
99
4.8.2
SIMULATED
SOURCES
.
100
4.8.3
THE
MODELED
EEG
AND
MEG
SENSORS
.
101
4.8.4
DEFINITION
OF
THE
FE
VOLUME
CONDUCTOR
MODELS
.
102
4.8.5
ERROR
CRITERIA
FOR
FORWARD
SIMULATION
ACCURACY
.
106
4.9
NUMERICAL
STUDIES
.
108
4.9.1
STUDIES
ON
DISCRETIZATION
ERROR
AND
MESH
QUALITY
.
108
4.9.2
FURTHER
VALIDATION
IN
MULTILAYER
SPHERE
MODEL
.
109
4.10
SUMMARY
AND
CONCLUSIONS
.
ILL
CONTENTS
VII
5
EFFICIENT
FE
SOLVER METHODS
113
5.1
INTRODUCTION
.
113
5.2
THE PRECONDITIONED
CONJUGATE
GRADIENT
METHOD
.
115
5.2.1
JACOBI
PRECONDITIONING
OR
SCALING
.
116
5.2.2
INCOMPLETE
FACTORIZATION
PRECONDITIONERS
.
116
5.2.3
THEORETICAL
CONSIDERATIONS
TO
MULTIGRID
ITERATIONS
.
118
5.2.4
THE
MULTIGRID-PRECONDITIONED
CG
METHOD
.
119
5.2.5
ALGEBRAIC
MULTIGRID
PRECONDITIONERS
.
120
5.3
PERFORMANCE
STUDIES
ON
A
SINGLE
PROCESSOR
.
124
5.4
PARALLELIZATION
OF
FE
SOLVER
METHODS
.
126
5.4.1
DATA
PARTITIONING
.
127
5.4.2
DATA
TYPES
AND
BASIC
OPERATIONS
.
128
5.4.3
PARALLEL
ALGEBRAIC
MULTIGRID
.
129
5.5
NUMERICAL
STUDIES
ON
MULTIPLE
PROCESSORS
.
133
5.5.1
DATA
PARTITIONING
.
133
5.5.2
COMPARISON
OF
PARALLEL
PRECONDITIONERS
.
133
5.6
SUMMARY
AND
CONCLUSIONS
.
138
6
THE
INVERSE
PROBLEM
141
6.1
INTRODUCTION
.
141
6.2
THE
EEG/MEG
LEAD-FIELD
MATRIX
FOR
DISCRETE
PARAMETER
SPACE
.
.
142
6.3
NODE-ORIENTED
EEG
LEAD-FIELD
BASIS
.
143
6.4
RECONSTRUCTION
OF
FOCAL
SOURCES
.
144
6.4.1
A
DOWNHILL
SIMPLEX
OPTIMIZER
IN
CONTINUOUS
PARAMETER
SPACE
.
144
6.4.2
A
SIMULATED
ANNEALING
ALGORITHM
ON
DISCRETIZED
INFLUENCE
SPACE
.
145
6.4.3
DETERMINATION
OF
THE
LINEAR
PARAMETERS
.
147
6.4.4
CHOOSING
THE
NUMBER
OF
SOURCES
.
152
6.5
INSTANTANEOUS
CURRENT
DENSITY
RECONSTRUCTIONS
.
153
6.5.1
LINEAR
TIKHONOV-PHILLIPS
REGULARIZATION
USING
THE
NORM
154
6.5.2
L2
NORM
REGULARIZATION
IN
THE
DATA
SPACE
.
156
6.5.3
NONLINEAR
REGULARIZATION
BY
MEANS
OF
THE
L\
NORM
.
156
6.5.4
DEPTH
WEIGHTING
.
158
6.5.5
CHOICE
OF
THE
REGULARIZATION
PARAMETER
.
159
6.6
SPATIO-TEMPORAL
CURRENT
DENSITY
RECONSTRUCTIONS
.
161
6.6.1
A
DETERMINISTIC
APPROACH
.
161
6.6.2
ESTIMATION
THEORETICAL
APPROACHES
.
162
6.6.3
APPLICATIONS
OF
DYNAMIC
INVERSE
PROBLEMS
.
162
6.7
SUMMARY
AND
CONCLUSIONS
.
165
VIII
CONTENTS
7
SENSITIVITY
TOWARDS
TISSUE
ANISOTROPY
167
7.1
INTRODUCTION
.
167
7.2
INFLUENCE
ON
EEG/MEG FORWARD
PROBLEM
.
168
7.2.1
A
TANGENTIALLY
ORIENTED
ECCENTRIC
SOURCE
.
168
7.2.2 A
RADIALLY
ORIENTED
ECCENTRIC
SOURCE
.
171
7.2.3
A
DEEP
SOURCE
.
173
7.3
INFLUENCE
ON
EEG/MEG
SOURCE
RECONSTRUCTION
.
176
7.3.1
EEG
RECONSTRUCTION
ERROR
FOR
SINGLE
DIPOLE
FIT
.
176
7.3.2
LOCALIZATION
OF
EARLY
SYNTACTIC
PROCESSES:
AN
EEG/MEG
SIMULATION
STUDY
.
181
7.4
SUMMARY
AND
CONCLUSIONS
.
193
8
CONCLUSIONS
AND
PERSPECTIVE
197
8.1
SUMMARY
AND
CONCLUSIONS
.
197
8.2
PERSPECTIVE
.
200
A
BASICS
OF
MAGNETIC
RESONANCE
IMAGING
201
A.L
LARMOR
RELATIONSHIP
AND
MACROSCOPIC
MAGNETIZATION
.
201
A.2
RESONANCE
.
202
A.3
FIELD
GRADIENTS
.
203
A.4
B
Q
INHOMOGENEITIES
.
203
A.5
RELAXATION
.
203
A.6
MAGNETIC
RESONANCE
IMAGING
.
204
A.7
PULSE
SEQUENCE
.
204
A.
8
BLOCH
EQUATIONS
INCLUDING
DIFFUSION
.
206
A.9
DIFFUSION
TENSOR
IMAGING
.
206
B
THE
MULTILAYER
SPHERE
MODEL
209
B.L
THE
DERIVATION
OF
THE
MONOPOLE
POTENTIAL
.
209
B.2
ASYMPTOTIC
APPROXIMATION
FOR
THE
DIPOLE
POTENTIAL
.
211
C
CONVENTIONAL
METHODS
FOR
THE
DIPOLE
FIT
LEAST
SQUARE
PROBLEM
213
C.L
QR
DECOMPOSITION
.
213
C.2
COMPLETE
ORTHOGONAL
FACTORIZATION
.
214
D
SOFTWARE
DEVELOPMENTS:
THE
PROGRAM
NEUROFEM
215
E
ZUSAMMENFASSUNG
(SUMMARY
IN
GERMAN)
217
E.L
MOTIVATION
UND
EINORDNUNG
.
217
E.2
WISSENSCHAFTLICHE
ERGEBNISSE
DER
DISSERTATION
.
220
REFERENCES
223 |
| any_adam_object | 1 |
| author | Wolters, Carsten H. 1967- |
| author_GND | (DE-588)124921124 |
| author_facet | Wolters, Carsten H. 1967- |
| author_role | aut |
| author_sort | Wolters, Carsten H. 1967- |
| author_variant | c h w ch chw |
| building | Verbundindex |
| bvnumber | BV017349359 |
| classification_rvk | SK 950 WW 4120 YG 2400 ZN 6025 |
| ctrlnum | (OCoLC)76559608 (DE-599)BVBBV017349359 |
| discipline | Biologie Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik Medizin |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV017349359 |
| illustrated | Illustrated |
| indexdate | 2024-12-18T17:00:30Z |
| institution | BVB |
| isbn | 3936816115 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010456672 |
| oclc_num | 76559608 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-83 |
| physical | xi, 255 Seiten Illustrationen, Diagramme |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | MPI |
| record_format | marc |
| series | MPI series in cognitive neuroscience |
| series2 | MPI series in cognitive neuroscience |
| spelling | Wolters, Carsten H. 1967- Verfasser (DE-588)124921124 aut Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain Carsten H. Wolters [Max Planck Institute of Cognitive Neuroscience] Leipzig MPI 2003 xi, 255 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier MPI series in cognitive neuroscience 39 Dissertation Fakultät für Mathematik und Informatik, Universität Leipzig 2003 Gehirn (DE-588)4019752-9 gnd rswk-swf Elektroencephalographie (DE-588)4014254-1 gnd rswk-swf Signalanalyse (DE-588)4181260-8 gnd rswk-swf Biosignalverarbeitung (DE-588)4006899-7 gnd rswk-swf Magnetoencephalographie (DE-588)4254087-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gehirn (DE-588)4019752-9 s Elektroencephalographie (DE-588)4014254-1 s Magnetoencephalographie (DE-588)4254087-2 s Biosignalverarbeitung (DE-588)4006899-7 s Signalanalyse (DE-588)4181260-8 s DE-604 MPI series in cognitive neuroscience 39 (DE-604)BV012692499 39 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010456672&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wolters, Carsten H. 1967- Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain MPI series in cognitive neuroscience Gehirn (DE-588)4019752-9 gnd Elektroencephalographie (DE-588)4014254-1 gnd Signalanalyse (DE-588)4181260-8 gnd Biosignalverarbeitung (DE-588)4006899-7 gnd Magnetoencephalographie (DE-588)4254087-2 gnd |
| subject_GND | (DE-588)4019752-9 (DE-588)4014254-1 (DE-588)4181260-8 (DE-588)4006899-7 (DE-588)4254087-2 (DE-588)4113937-9 |
| title | Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain |
| title_auth | Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain |
| title_exact_search | Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain |
| title_full | Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain Carsten H. Wolters [Max Planck Institute of Cognitive Neuroscience] |
| title_fullStr | Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain Carsten H. Wolters [Max Planck Institute of Cognitive Neuroscience] |
| title_full_unstemmed | Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain Carsten H. Wolters [Max Planck Institute of Cognitive Neuroscience] |
| title_short | Influence of tissue conductivity inhomogeneity and anisotropy on EEG/MEG based source localization in the human brain |
| title_sort | influence of tissue conductivity inhomogeneity and anisotropy on eeg meg based source localization in the human brain |
| topic | Gehirn (DE-588)4019752-9 gnd Elektroencephalographie (DE-588)4014254-1 gnd Signalanalyse (DE-588)4181260-8 gnd Biosignalverarbeitung (DE-588)4006899-7 gnd Magnetoencephalographie (DE-588)4254087-2 gnd |
| topic_facet | Gehirn Elektroencephalographie Signalanalyse Biosignalverarbeitung Magnetoencephalographie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010456672&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012692499 |
| work_keys_str_mv | AT wolterscarstenh influenceoftissueconductivityinhomogeneityandanisotropyoneegmegbasedsourcelocalizationinthehumanbrain |