TY - JOUR
T1 - A meshless method for solving the EEG forward problem
AU - Von Ellenrieder, Nicolás
AU - Muravchik, Carlos H.
AU - Nehorai, Arye
N1 - Funding Information:
Manuscript received October 2, 2003; revised June 27, 2004. The work of N. von Ellenrieder was supported in part by the Consejo Nacional de Inves-tigaciones Científicas y Técnicas (CONICET). The work of C. Muravchik was supported in part by the Comisión de Investigaciones Científicas de la Provincia de Buenos Aires (CICPBA). The work of A. Nehorai was supported in part by the National Science Foundation under Grant CCR-0105334 and Grant CCR-0330342. Asterisk indicates corresponding author. *N. von Ellenrieder is with the Laboratorio de Electrónica Industrial, Control e Instrumentación, Departamento de Electrotecnia, Facultad de Ingeniería, Universidad Nacional de La Plata, C.C. 91, 1900 La Plata, Argentina (e-mail: [email protected], [email protected]).
PY - 2005/2
Y1 - 2005/2
N2 - We present a numerical method to solve the quasi-static Maxwell equations and compute the electroencephalography (EEG) forward problem solution. More generally, we develop a computationally efficient method to obtain the electric potential distribution generated by a source of electric activity inside a three-dimensional body of arbitrary shape and layers of different electric conductivities. The method needs only a set of nodes on the surface and inside the head, but not a mesh connecting the nodes. This represents an advantage over traditional methods like boundary elements or finite elements since the generation of the mesh is typically computationally intensive. The performance of the proposed method is compared with the boundary element method (BEM) by numerically solving some EEG forward problems examples. For a large number of nodes and the same precision, our method has lower computational load than BEM due to a faster convergence rate and to the sparsity of the linear system to be solved.
AB - We present a numerical method to solve the quasi-static Maxwell equations and compute the electroencephalography (EEG) forward problem solution. More generally, we develop a computationally efficient method to obtain the electric potential distribution generated by a source of electric activity inside a three-dimensional body of arbitrary shape and layers of different electric conductivities. The method needs only a set of nodes on the surface and inside the head, but not a mesh connecting the nodes. This represents an advantage over traditional methods like boundary elements or finite elements since the generation of the mesh is typically computationally intensive. The performance of the proposed method is compared with the boundary element method (BEM) by numerically solving some EEG forward problems examples. For a large number of nodes and the same precision, our method has lower computational load than BEM due to a faster convergence rate and to the sparsity of the linear system to be solved.
KW - EEG
KW - EEG forward problem
KW - Layered media
KW - Meshless method
KW - Moving least squares approximation
KW - Numerical solution
KW - Volume conductor
UR - https://www.scopus.com/pages/publications/13244251004
U2 - 10.1109/TBME.2004.840499
DO - 10.1109/TBME.2004.840499
M3 - Article
C2 - 15709662
AN - SCOPUS:13244251004
SN - 0018-9294
VL - 52
SP - 249
EP - 257
JO - IEEE Transactions on Biomedical Engineering
JF - IEEE Transactions on Biomedical Engineering
IS - 2
ER -