Proposal of a Current Density Estimation Method Introducing Smoothness

Magnetoencephalography is an effective method for brain diagnosis due to its high temporal resolution and noninvasive nature. When estimating the current density of the cortex from magnetoencephalography, it is common to set an objective function that minimizes the total current density to avoid underdetermined solutions. However, due to the complex geometry of the cortical surface, steep current density changes can be estimated across the brain sulcus. In this study, we proposed a method to suppress steep current density changes by introducing smoothness using the graph Laplacian and validated it with simulated data.