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General Form of a
Dose Objective Function
d
i
j
is the dose at the j
th
-sampling point for the i
th
-objective function:
∑ ∑
k
N N
~
Inverse Optimisation and Planning
=
=
=
cath
ASDP
k
l
i
jkl
lk
i
j
dx
d
1
1
2
(x)
Catheters Active SDPs Dwell time t
lk
•
x²
lk
= t
lk
to avoid negative (non-physical) dwell time values t
lk
•
can (should) be calculated in a pre-process 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,
CC, other
Solvers)
i
jkl
d
~