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General Form of an
Objective Function
( )
(
)
( )
[
]
[
]
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
x
x
Low-Objective
D
L
for V
Low
d
i
j
is the dose at the j
th
-sampling point for the i
th
-objective function:
∑ ∑
=
=
=
cath
k
ASDP
N
k
N
l
i
jkl
lkK lk
i
j
d Sx
d
1
1
,
2
~
(x)
Catheters/
Needles/
Applicators
Active SDPs
Dwell time
t
lk
= x²
lk
Inverse Optimisation and Planning
(2000 – today)
High-Objective
D
H
for V
High
dv r rAr
rD
´)
( )´(
)(
−
Ψ=
∫
+∞
∞−
Adjustable parameters