Treatment planning methods are provided that determine the variability of
relative biological effectiveness (RBE) along a beam line and calculate,
among other things, what intensity of hadron beam such as a proton or a
carbon ion beam should be applied to achieve a desired biological dose at
treatment site of a patient afflicted with a medical condition.
Typically, three or four RBE values at three or four corresponding
spacially-dispersed intervals along the beam line are calculated. In one
embodiment, two RBE values for the spread-out Bragg peak (SOBP) region of
the treatment site; one for the proximal section and one for the
declining distal section is calculated. A third and different RBE value
may be determined for the distal edge region of the SOBP. A fourth value
may also be calculated for a pre-SOBP region.