∑ ∑
=
=
=
feasible
k
ASDP
N
k
N
l
i
jkl
lkK lk k
i
j
d Sxb
d
1
1
,
2
~
(x)
General Form of an Objective Function
incl. Catheters
Low
High
d
i
j
is the dose at the j
th
-sampling point for the i
th
-objective function:
Feasible Catheters Active SDPs
Dwell time t
lk
Binary:
Catheter
Inverse Planning: Discretisation Case
( )
(
)
( )
[
]
[
]
x
x
1
1
∑
=
−
− Θ =
i
N
j
p i
H
i
j
i
H
i
j
i
i
D d D d
N
f
( )
(
)
( )
[
]
[
]
x
x
1
1
∑
=
−
− Θ =
i
N
j
p
i
j
i
L
i
j
i
L
i
i
d D d D
N
f
1
∑
=
=
M
m
m m
fw f




