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General Form of a
Dose Objective Function
( )
[
]
[
]
( )
1
1
i
L
i
j
N
j
p
i
j
i
L
i
D d
d D
N
f
i
<
∀
−
=
∑
=
x
x
Low-Objective
D
L
= D
V
for V
100%
Inverse Optimisation and Planning
( )
[
]
[
]
( )
1
1
i
H
i
j
N
j
p i
H
i
j
i
i
D d
D d
N
f
i
>
∀
−
=
∑
=
x
x
i
d
i
j
is the dose at the j
th
-sampling point for the i
th
-objective function:
High-Objective
D
H
= D
V
for V
0%
∑ ∑
=
=
=
cath
k
ASDP
N
k
N
l
i
jkl
lk
i
j
dx
d
1
1
2
~
(x)
Catheters/
Needles/
Applicators
Active SDPs Dwell time t
lk