Modern treatment planning systems for three-dimensional treatment plan
ning provide three-dimensionally accurate dose distributions for each
individual patient. These data open up new possibilities for more prec
ise reporting and analysis of doses actually delivered to irradiated o
rgans and volumes of interest. A new method of summarizing and reporti
ng inhomogeneous dose distributions is reported here. The concept of e
quivalent uniform dose (EUD) assumes that any two dose distributions a
re equivalent if they cause the same radiobiological effect. In this p
aper the EUD concept for tumors is presented, for which the probabilit
y of local control is assumed to be determined by the expected number
of surviving clonogens, according to Poisson statistics. The EUD can b
e calculated directly from the dose calculation points or, from the co
rresponding dose-volume distributions (histograms). The fraction of cl
onogens surviving a dose of 2 Gy (SF2) is chosen to be the primary ope
rational parameter characterizing radiosensitivity of clonogens. The a
pplication of the EUD concept is demonstrated on a clinical dataset. T
he causes of flattening of the observed dose-response curves become ap
parent since the EUD concept reveals the finer structure of the analyz
ed group of patients in respect to the irradiated volumes and doses ac
tually received. Extensions of the basic EUD concept to include nonuni
form density of clonogens; dose per fraction effects, repopulation of
clonogens, and inhomogeneity of patient population are discussed and c
ompared with the basic formula. (C) 1997 American Association of Physi
cists in Medicine.