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2
2
f
=
5
×
(
90
D
100
)
+
(
V
125
)
prostate
urethra
(2)
2
2
+
(
V
75
)
+
(
V
75
)
bladder
rectum
This modification takes into account both dose and volume constraints for the pros-
tate, urethra, bladder and rectum from RTOG Protocol 0321 shown in Table 1.
Table 1. DVH-based objective function constraints based on RTOG Protocol 0321
i
Volume Constraint, D i,Vk
Expected Value, d i ( V i,k )
1 Prostate
D100
90%
2 Bladder
V125
1 cc
3 Rectum
V75
1 cc
4 Urethra
V75
1 cc
All constraints were weighted equally, with exception of the prostate, which was
set to 5. The increased importance of the prostate reflects the fact that it is the target
volume. The prescription dose was set to 950 cGy, also from the RTOG protocol.
3.2 Optimization Parameters
The simulation environment was constructed using various open source software in-
cluding: Python, wxPython, NumPy, and Matplotlib. In the environment, the user is
Fig. 2. Default optimization settings for the simulation
 
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