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A proof that uniform dose gives the greatest TCP for fixed integral dose in the planning target volume
S Webb1, P M Evans, W Swindell
1Joint Department of Physics, Institute of Cancer Research and Royal Marsden Hospital, Sutton, UK.
Abstract:
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.
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