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∑ ∑

=

=

=

feasible

k

ASDP

N

k

N

l

i

jkl

lkK lk k

i

j

d Sxb

d

1

1

,

2

~

(x)

General Form of an Objective Function

incl. Catheters

Low

High

d

i

j

is the dose at the j

th

-sampling point for the i

th

-objective function:

Feasible Catheters Active SDPs

Dwell time t

lk

Binary:

Catheter

Inverse Planning: Discretisation Case

( )

(

)

( )

[

]

[

]

x

x

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

1

=

=

M

m

m m

fw f