Modern Bt Techniques - Florence 2016

Inverse Optimisation and Planning

General Form of a Dose Objective Function

[

]

[

]

N

1

Low-Objective D L = D V for V

( ) d D x p i

( ) x

1 ∑ = j i

=

−

∀

<

i L

i

i L

f

D d

i

j

j

N

100%

i

[

]

( ) [ i j x

]

N

High-Objective D H = D V for V 0%

1

( ) x

1 ∑ = j i

p i

=

−

∀

>

i

i H

f

D d

D d

i

H

j

N

i

d i j is the dose at the j th -sampling point for the i th -objective function:

~

∑ ∑ = cath N k 1 (x)

k ASDP

N

=

i

2

i jkl dx

d

j

lk

=

l

1

Catheters/ Needles/ Applicators

Active SDPs Dwell time t lk