A 3D brain imaging device based on Compton scat tering is investigated with a GEANT4 Monte-Carlo simulation.The proposed device relies on a novel 3D imaging technique which, contrary to other approaches like Compton cameras, does not require any back projection procedure. We study the attainable sensitivity in the detection of density variations as a function of the beam energy, the depth inside the object and size and density of the inclusions. At midbrain position a resolution of about 2 mm and a contrast of 12% are obtained. In addition the simulation indicates that a complete brain scan at 600 ke V beam energy would result in an effective dose of about 1 mSv.