Mappings between a macroscopic neural-mass model and a reduced conductance-based model

We present two alternative mappings between macroscopic neuronal models and a reduction of a conductance-based model. These provide possible explanations of the relationship between parameters of these two different approaches to modelling neuronal activity. Obtaining a physical interpretation of neural-mass models is of fundamental importance as they could provide direct and accessible tools for use in diagnosing neurological conditions. Detailed consideration of the assumptions required for the validity of each mapping elucidates strengths and weaknesses of each macroscopic model and suggests improvements for future development.