Advanced Physics for Brachytherapy 2018

Inverse Optimisation and Planning

Objectives & Objective Functions

Define Dose Window for Target(s), NT & OAR(s)

Objective Functions

Objectives

1

Low-Objective D L for V Low

=

෍ =1

Θ −

−

?

1

High-Objective D H for V High

=

෍ =1

Θ −

−

d i

j is the Dose at the Sampling Point j for Objective Function i :

+∞

~

k ASDP

N

N

i j

2

i jkl lkK lk k

  = feasible k 1 (x)

=

d

d Sxb

Ԧ = න

´

− ´

,

=

l

1

−∞

Binary: Catheter Selection

Dwell times t lk

= x

²

Feasible Catheters

Active SDPs

lk