Generation of prescriptions for the complex HNSCC patient. The input distribution of the relative tracer retention (a) is mapped to the output of relative prescribed dose (c–e) by three unitless sigmoid transformations (b). These operate on the magnitude of the tracer retention in each voxel without bias to spatial position to give weighted output distributions . At fixed threshold and higher slope, the fractional prescribed dose boost distributions become increasingly bimodal with peaks at the minimum and maximum boost doses.