Epileptic foci localization using the inverse source problem for Maxwell's equations

Abstract

Consider an application of the inverse source problem for Maxwell's equations to the matter of epileptic foci localization in the human brain. Using a current dipole to model the epileptic focus in the brain, and by considering those conditions particular to medical applications, we constructed an approximate inverse problem which we used to subsequently determine a unique location and orientation for the dipole. In addition, we developed a numerical experiment demonstrating practical e cacy at mulitple sensor positions.