Estimation of Solution Accuracy From Leadfield Matrix in Magnetoencephalography

This paper is a report of an investigation of the relationship between the condition number of a leadfield matrix of magnetoencephalography and source reconstruction accuracy. We suggest the use of the condition number as a promising a priori accuracy estimator of a neuromagnetic inverse problem (NIP) since various simulation studies demonstrated that the reconstructed source distribution has the wider region and contains more spurious sources if a leadfield matrix has the higher condition number. The simulation results also verified that the accuracy estimator based upon the condition number can explain well-known phenomena of NIP, which suggests a potential application of the proposed concept