Treatment planning methods are provided that determine the variability of relative biological effectiveness (RBE) along a beam line and calculate, among other things and 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 and three or four RBE values at three or four corresponding spacially-dispersed intervals along the beam line are calculated. In one embodiment and 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.
