A multi-sphere particle numerical model for non-invasive investigations of neuronal human brain activity

In this paper, a multi-sphere particle method is built-up in order to estimate the solution of the Poisson's equation with Neumann boundary conditions describing the neuronal human brainactivity. The partial differential equations governing the relationshipsbetween neural current sources and the data produced by neuroimagingtechnique, are able to compute the scalp potential and magnetic fielddistributions generated by the neural activity. A numerical approach is proposed with current dipoles as current sources and going on in thecomputation by avoiding the mesh construction. The current dipolesare into an homogeneous spherical domain modeling the head and thecomputational approach is extended to multilayered con¯guration withdifferent conductivities. A good agreement of the numerical results isshown and, for the first time compared with the analytical ones.