Analysis of the Inverse Electroencephalographic Problem for Volumetric Dipolar Sources Using a Simplification

  • José Jacobo Oliveros Oliveros Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla
  • M. M. Morín-Castillo Facultad de Ciencias de la Electrónica, Benemérita Universidad Autónoma de Puebla
  • F. A. Aquino-Camacho Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla
  • A. Fraguela-Collar Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla

Abstract

 

Objective: To analyze the parameter identification problem for volumetric dipolar sources in the brain from measurement of the EEG on the scalp using a simplification which reduces the multilayer conductive medium problem to one homogeneous medium problem with a null Neumann boundary condition. Methodology: The minimum squares technique is used for parameter identification of the dipolar sources. The simple case in which the head is modelled by concentric circles is developed. This case was chosen because we were able to obtain the solution of the forward problem in exact form and for the simplicity of the exposition. Results: The parameter of the dipolar sources can be identified from the EEG on the scalp using the simplification. For the theoretical analysis the results developed for one homogeneous region are used. The numerical implementation is simpler than the multilayer case and the numerical computation requires minor computational cost. Conclusion: The feasibility for solving the parameter identification problem using the simplification is shown. These results can be extended to the case of concentric spheres and complex geometries but the solution cannot be found in exact form.

Downloads

Download data is not yet available.
Published
2014-05-15
How to Cite
Oliveros Oliveros, J. J., Morín-Castillo, M. M., Aquino-Camacho, F. A., & Fraguela-Collar, A. (2014). Analysis of the Inverse Electroencephalographic Problem for Volumetric Dipolar Sources Using a Simplification. Mexican Journal of Biomedical Engineering, 35(2), 115-124. Retrieved from https://rmib.mx/index.php/rmib/article/view/200
Section
Research Articles