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The electroencephalography (EEG) forward problem, the computation of theelectric potential generated by a known electric current source configurationin the brain, is a key step of EEG source analysis. In this problem, it isoften desired to model the anisotropic conductivity profiles of the skull andof the white matter. These profiles, however, cannot be handled by standardsurface integral formulations and the use of volume finite elements isrequired. Leveraging on the representation theorem using an anisotropicfundamental solution, this paper proposes a modified symmetric formulation forsolving the EEG forward problem by a surface integral equation which can takeinto account anisotropic conductivity profiles. A set of numerical results ispresented to corroborate theoretical treatments and to show the impact of theproposed approach on both canonical and real case scenarios.

Handling Anisotropic Conductivities in the EEG Forward Problem with a Symmetric Formulation