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T Nyholm, et al (2006)

Radiother Oncol 78

, 347-51.

20/10

D(10 10,

20cm)

TPR

D(10 10,

10cm)

z

z

 =

=

 =

Isocenter

distance

10 cm

10 cm

10 cm

A further parameterization of , using the beam quality index

TPR2010 as single input parameter:

pencil kernel parameterization:

(

)

(

)

(

)

(

)

5

2

2

2

1

2

5

3

4

,

20/10

1

5

2

2

2

1

2

5

3

4

,

20/10

1

1

2

1 exp

exp

TPR

1 exp

exp

TPR

m

m

i

z

m

i A

i

z

i

z

m

i B

i

z

z

A

A

A z A

A z

A z

A C

a

B

B

B z B

B z B z

B C

b

a a a z

=

=

= −

+

+

=

=

+

+

=

= +

(

)

(

)

5

,

20/10

1

5

2

2

2

1

2

5

3

4

,

20/10

1

TPR

1 exp

exp

TPR

m

m

i

m

i a

i

i

z

m

i b

i

a

C

b b

b

z b

b z b z

b

C

=

=

=

= −

+

+

=

( )

e

e

z

z

a r

b r

z

z

A

B

p

r

r

+

=

This is the PK kernel parameterization used in e.g. Scandidos Delta4 software