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Analytical (a) and (b) stochastic dose calculation in a sphere of particle track beams. The track structure is presented for 12C at 59 MeV/n with a sphere of radius 3 μm (a), (b). The analytical dose calculation described in the text and its derivation from the stochastic simulation, Ctrack is calculated for the cases if track source point is inside (c) and outside (d) the segment of the sphere.
