Uncertainty quantification in transcranial magnetic stimulation with correlation between tissue conductivities

The uncertainty quantification problem in Transcranial Magnetic Stimulation is solved by means of a realistic head model and considering the statistical correlation between grey matter and white matter electrical conductivities. The fast model order reduction approach, introduced by the authors, is extended here to the general case of correlated random parameters. Numerical results prove that correlations between tissue conductivities must be taken into account since their impact on the probability density function of the induced electric field is relevant.