Simplification of the inverse electroencephalographic problem to one homogeneous region with null Neumann condition

Authors

  • M. M. Morín - Castillo Facultad de Ciencias de la Electrónica, BUAP,
  • J. J. Oliveros - Oliveros Facultad de Ciencias Físico Matemáticas, BUAP
  • J. J. Conde - Mones Facultad de Ciencias Físico Matemáticas, BUAP
  • A. Fraguela - Collar
  • E. M. Gutiérrez - Arias Facultad de Ciencias de la Electrónica, BUAP,
  • E. Flores . Mena Facultad de Ciencias de la Electrónica, BUAP,

Abstract

 

Objective: To give a simplification of the Inverse Electroencephalographic Problem (IEP) from the case of multilayer conductive medium to the case of a homogeneous region with null Neumann condition.Methodology: IEP is divided into three problems, two of which are resolved using the measurements of potential on the scalp and with these solutions and the third problem the simplification is carried out. In order to validate the simplification a synthetic example is generated using the model of concentric spheres. Results: Through of simplification, the source is determined by the Poisson equation with null Neumann condition and an additional data on the boundary of the homogeneous region, which is obtained from the measurement. This is valid for regions with smooth boundary. Additionally, in the case of concentric spheres, it is statement the identification problem for dipolar sources (representing epileptic focus) using this simplification and Green function. Conclusion: The simplification presented here allows us to analyze the inverse problem in one region, which simplifies the theoretical and numerical study. In particular it may be useful to analyze the problem of parameter identification of a dipolar source.

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Published

2013-01-15

How to Cite

Morín - Castillo, M. M., Oliveros - Oliveros, J. J., Conde - Mones, J. J., Fraguela - Collar, A., Gutiérrez - Arias, E. M., & Flores . Mena, E. (2013). Simplification of the inverse electroencephalographic problem to one homogeneous region with null Neumann condition. Revista Mexicana De Ingenieria Biomedica, 34(1), 41–51. Retrieved from https://rmib.com.mx/index.php/rmib/article/view/201

Issue

Vol. 34 No. 1 (2013): January - April

Section

Research Articles

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