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This definition of EUD can also be derived from the Kutcher-Burnam DVH reduction

scheme: the

KB reduction algorithm

reduces the DVH to a partial organ irradiation of

an effective volume which receives the maximum dose of the original

DVH (DVH

{D=D

max

,

ν

=

ν

EFF

}).

This is accomplished through the following calculation:

n

i

i

i

EFF

D

D

1

max





=

ν

ν

where D

i

,

ν

i

and n have the same meaning as in the previous slides

max

D

EUD

n

EFF

=

ν