Physics Athens 2016

Cost function

“Combining all sometimes competing goals in one cost function …”

Penalty for not having uniform dose d 0 (optimising uniformity in target)

b Is the relative weight factor

1

) d d 2 0

(

C

∑

=

β

−

+

T

i

n

Ti

T

∈

1

d

∑ OAR i

β

+

Penalty for any dose to OAR (minimising the mean of the OAR)

OAR

i

1

n

1

OAR

1

∈

(

)(

)

d d d d

∑ OAR i

H 1

β

− −

OAR

i

i

2

0

0

n

2

OAR

2

∈

Penalty for dose above “tolerance dose d 0 (keeping max dose below d 0 )

“ in OAR

H(x)