In this note it is shown that for a fixed integral dose to the planning target volume, the highest tumour control probability (TCP) arises when the dose is spatially uniform. This 'uniform dose theorem' is proved both for (i) a specific TCP model based on Poisson/independent voxel statistics, and (ii) any model for voxel control probability having a specific shape with respect to increasing dose.
No takes yet. Share an insight, caveat, or question.
Webb et al. (1994) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: