Exploiting Proper Orthogonal Decomposition for the solution of forward and inverse ECG and EEG related biomedical problems

Ilias Aitidis; George Kyriacou; John Sahalos

doi:10.1109/EuCAP.2014.6901810

Exploiting Proper Orthogonal Decomposition for the solution of forward and inverse ECG and EEG related biomedical problems

Ilias Aitidis
, George Kyriacou
, John Sahalos

Department of Engineering

Democritus University of Thrace

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A method for the equivalent dipole localization from EEG/ECG measured data is proposed herein exploiting the combined advantages of Proper Orthogonal Decomposition (POD) and Finite Element Method (FEM). The current effort is concentrated on solving a fine discretized forward eigenproblem once and applying POD to reduce the problem dimension. The equivalent dipole localization is in turn formulated by setting up a cost function in its least squares means. The involved calculated data sets as well as the sensitivity matrix are evaluated herein exploiting a POD eigenfunction expansion. Explicitly, for each forward problem solution the voltage generated by a test source is calculated as an eigenfunction expansion. The proposed method is expected to offer a computationally efficient forward and overall inverse problem solution, while our ambitious is to achieve real time brain dipole localization.

Original language	English
Title of host publication	8th European Conference on Antennas and Propagation, EuCAP 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	526-529
Number of pages	4
ISBN (Electronic)	9788890701849
DOIs	https://doi.org/10.1109/EuCAP.2014.6901810
Publication status	Published - 2014
Event	8th European Conference on Antennas and Propagation, EuCAP 2014 - The Hague, Netherlands Duration: 6 Apr 2014 → 11 Apr 2014

Other

Other	8th European Conference on Antennas and Propagation, EuCAP 2014
Country/Territory	Netherlands
City	The Hague
Period	6/04/14 → 11/04/14

Keywords

Eigenfunction expansion
FEM
Inverse ECG/EEG
Proper orthogonal decomposition
Source localization

Access to Document

10.1109/EuCAP.2014.6901810

Cite this

@inproceedings{2f9ae38be5c04adc9e33c1df4d00026b,

title = "Exploiting Proper Orthogonal Decomposition for the solution of forward and inverse ECG and EEG related biomedical problems",

abstract = "A method for the equivalent dipole localization from EEG/ECG measured data is proposed herein exploiting the combined advantages of Proper Orthogonal Decomposition (POD) and Finite Element Method (FEM). The current effort is concentrated on solving a fine discretized forward eigenproblem once and applying POD to reduce the problem dimension. The equivalent dipole localization is in turn formulated by setting up a cost function in its least squares means. The involved calculated data sets as well as the sensitivity matrix are evaluated herein exploiting a POD eigenfunction expansion. Explicitly, for each forward problem solution the voltage generated by a test source is calculated as an eigenfunction expansion. The proposed method is expected to offer a computationally efficient forward and overall inverse problem solution, while our ambitious is to achieve real time brain dipole localization.",

keywords = "Eigenfunction expansion, FEM, Inverse ECG/EEG, Proper orthogonal decomposition, Source localization",

author = "Ilias Aitidis and George Kyriacou and John Sahalos",

year = "2014",

doi = "10.1109/EuCAP.2014.6901810",

language = "English",

pages = "526--529",

booktitle = "8th European Conference on Antennas and Propagation, EuCAP 2014",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "8th European Conference on Antennas and Propagation, EuCAP 2014 ; Conference date: 06-04-2014 Through 11-04-2014",

}

Aitidis, I, Kyriacou, G & Sahalos, J 2014, Exploiting Proper Orthogonal Decomposition for the solution of forward and inverse ECG and EEG related biomedical problems. in 8th European Conference on Antennas and Propagation, EuCAP 2014., 6901810, Institute of Electrical and Electronics Engineers Inc., pp. 526-529, 8th European Conference on Antennas and Propagation, EuCAP 2014, The Hague, Netherlands, 6/04/14. https://doi.org/10.1109/EuCAP.2014.6901810

Exploiting Proper Orthogonal Decomposition for the solution of forward and inverse ECG and EEG related biomedical problems. / Aitidis, Ilias; Kyriacou, George; Sahalos, John.
8th European Conference on Antennas and Propagation, EuCAP 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 526-529 6901810.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Exploiting Proper Orthogonal Decomposition for the solution of forward and inverse ECG and EEG related biomedical problems

AU - Aitidis, Ilias

AU - Kyriacou, George

AU - Sahalos, John

PY - 2014

Y1 - 2014

N2 - A method for the equivalent dipole localization from EEG/ECG measured data is proposed herein exploiting the combined advantages of Proper Orthogonal Decomposition (POD) and Finite Element Method (FEM). The current effort is concentrated on solving a fine discretized forward eigenproblem once and applying POD to reduce the problem dimension. The equivalent dipole localization is in turn formulated by setting up a cost function in its least squares means. The involved calculated data sets as well as the sensitivity matrix are evaluated herein exploiting a POD eigenfunction expansion. Explicitly, for each forward problem solution the voltage generated by a test source is calculated as an eigenfunction expansion. The proposed method is expected to offer a computationally efficient forward and overall inverse problem solution, while our ambitious is to achieve real time brain dipole localization.

AB - A method for the equivalent dipole localization from EEG/ECG measured data is proposed herein exploiting the combined advantages of Proper Orthogonal Decomposition (POD) and Finite Element Method (FEM). The current effort is concentrated on solving a fine discretized forward eigenproblem once and applying POD to reduce the problem dimension. The equivalent dipole localization is in turn formulated by setting up a cost function in its least squares means. The involved calculated data sets as well as the sensitivity matrix are evaluated herein exploiting a POD eigenfunction expansion. Explicitly, for each forward problem solution the voltage generated by a test source is calculated as an eigenfunction expansion. The proposed method is expected to offer a computationally efficient forward and overall inverse problem solution, while our ambitious is to achieve real time brain dipole localization.

KW - Eigenfunction expansion

KW - FEM

KW - Inverse ECG/EEG

KW - Proper orthogonal decomposition

KW - Source localization

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DO - 10.1109/EuCAP.2014.6901810

M3 - Conference contribution

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BT - 8th European Conference on Antennas and Propagation, EuCAP 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 8th European Conference on Antennas and Propagation, EuCAP 2014

Y2 - 6 April 2014 through 11 April 2014

ER -

Exploiting Proper Orthogonal Decomposition for the solution of forward and inverse ECG and EEG related biomedical problems

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Keywords

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