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Piastra, Maria Carla: New finite element methods for solving the MEG and the combined MEG/EEG forward problem. 2019
Inhalt
List of Figures
List of Tables
General Background
Physiological Background
Mathematical Background
Derivation of the EEG and MEG Forward Problem
A Conservation Property
The MEG Analytical Solution
The CG-FEM for Solving the MEG Forward Problem
Basics of the CG-FEM
Solving the EEG Forward Problem
The Subtraction Approach
The Partial Integration Approach
Venant's Approach
Solving the MEG Forward Problem
Validation in Sphere Models
Conclusions
The DG-FEM for Solving the MEG Forward Problem
Solving the EEG Forward Problem
The Discrete Conservative Flux
The Subtraction Approach
The Partial Integration Approach
Solving the MEG Forward Problem
Validation in Sphere Models
Proof of Concept in a Realistic Head Model
Conclusions
Comparison between CG- and DG-FEM
Spherical Head Model Studies
Materials and Methods
Results
Realistically Shaped Head Model Studies
Materials and Methods
Results
Conclusions
EEG and MEG Sensitivity Maps based on FEM
Materials and Methods
Signal-to-Noise Ratio (SNR) mappings
Noise estimation
Finite element approach
Head models
Source spaces
Visualization of the results
Results
Discussion
Conclusions
Appendix
Volume Conductor Models
Sources and Sensors
Error Measures
The Transfer Matrix Approach
Implementation Aspects on Solving the MEG Forward Problem in duneuro
Software Tools
Bibliography