On Dynamical (B/Gd) Neutron Cancer Therapy by Accelerator Based Two Opposing Neutron Beams

The work reported in this paper studies the problem of irradiation of a single cancerous region in a (B/Gd) NCT setup by two opposing modulated one-speed neutron beams. The beams, which may have different pulse shapes, have different modulation frequencies and a variable relative time advance. These different frequencies and time advance are shown to be employable as three control variables in the formulation of a nonlinear optimization process that maximizes the therapeutic utility index and the ballistic index for this kind of dynamical (B/Gd)NCT.