On the biologically effective dose (BED)-using convolution for calculating the effects of repair: I. Analytical considerations.
This work presents a new mathematical formulation of biologically effective dose (BED) for radiation therapy where effects of repair need to be considered. The formulation is based on the observation that the effects of repair, both during protracted irradiation and of incomplete repair between fractions, can be written using a convolution, i.e. [Formula: see text] where T is the total irradiation