0000000001031669
AUTHOR
Fasshauer Gregory
Detection of the human brain activity with fundamental solution method
Human brain activity mapping is a fundamental task for the neurophysiological research and for the diagnostic purposes too. Non-invasive techniques such as Electroencephalography (EEG) and magnetoencephalography (MEG) allow the reconstruction of the cerebral electrical currents providing useful information on the neuronal activity in the human brain. Based on a typical inverse problem the M/EEG imaging techniques require to solve more times a forward one. In this paper we discuss on a numerical tool based on the Method of the Fundamental Solutions(MFS) to efficiently solve the M/EEG forward problem going over the BEM state-of-the-art procedure. Inspired by the Leave-One-Out Cross Validation…
On a regularized approach for the method of fundamental solution
The method of fundamental solution is a boundary meshless method recently adopted in the framework of non-invasive neu- roimaging techniques. The method approximates the solution of a BVP by a linear combination of fundamental solutions of the governing PDE. A crucial feature of the method is the placement of the fictitious boundary to avoid the singularities of fundamental solutions. In this paper we report on our experiences with a regularized MFS method in the neuroimaging context.