General Form of an
Objective Function
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
Active SDPs
Dwell time t
lk
Inverse Optimisation and Planning
(2000 – today)
•
x²
lk
= t
lk
to avoid negative (non-physical) dwell time values t
lk
•
can (should) be calculated in a pre-processing step and are then
available in a sense of
a Look-Up-Table
for the optimisation process.
Implementations in this way (HIPO) make optimiser independent of the
dose calculation engine considered (
TG 43, MC-LUTs, BS, CC, other Engines
)
i
jkl
d
~




