Review on Mathematical Modelling of Electroencephalography (EEG)

The paper reviews mathematical and numerical aspects in EEG modelling and gives researchers new in this field an overview about the state-of-the-art results and techniques on the topic. The classical dipolar source model is presented for modelling the electrical activity of the brain and several discretization methods for solving the forward model are described. Theoretical results from the mathematical analysis of the forward and inverse problem are given and an overview of the most popular numerical methods for solving the inverse problem is presented. A specific case study for EEG modelling in neonates highlights current questions that are actually asked by the clinicians.