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Niemierko 1997,1999
Med.Phys
gEUD :
phenomenological description
of the biological response to the radiation
In principle applicable to target volumes and OARs
a = 1
a --> -∞
a --> +∞
EUD = Dmean
EUD --> Dmin
EUD --> Dmax
Cost function for biological constraints
Generalized Equivalent Uniform Dose
(gEUD)
EUD can be optimised to “equal”, (gEUD-D
0
),
“maximum” or “minimum”
23
Simple gEUD for 3 structures
24
Differential and cumulative DVH
gEUD value
Min dose
(55Gy,1Gy,1Gy)
seen at low a
Max dose
(68Gy, 47Gy,
65Gy)
at high a
0
10
20
30
40
50
60
70
80
90
100
dose
10
20
30
40
50
60
Target
OARs
OARp
,000
10,000
20,000
30,000
40,000
50,000
60,000
70,000
-50
-10
1
10
50
EUD
a value in EUD formular
Target
OARs
OARp