Application of Boundary Perturbations on Medical Monitoring and Imaging Techniques

We present an overview on the application of boundary perturbations for Electroencephalography and Magnetoencephalography predominantly for the spherical geometry. With the mathematical tools produced, both forward and inverse problems can be tackled providing explicit computationally efficient solutions. Utilizing perturbation analysis in the framework of medical monitoring and imaging techniques, possesses the advantage introducing geometric variations without limiting the installation of analytic, or at least semi-analytic solutions, in view of complicated surfaces. In our example, surfaces which do not allow an analytic mathematical treatment can be handled if considered as small deviations from the sphere. In that setting, irregularities in head shapes, e.g. craniofacial alterations can be investigated theoretically.