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(

)

2

2

p

p

2.5 1.645

M

Σ

σ σ σ

= ⋅ + ⋅

+ −

”Exact” version of vHMF for 90% CDF(CTV) and 95% dose

0.1

0.2

0.3

0.4

(

)

2

2

1.645

0.32 0.32

σ

+ −

0.7

σ

Most common version

2.5 0.7 cm

M

Σ σ

= ⋅ + ⋅

0.1

0.2

0.3

0.4

0.5

Limitations?

infinite number of fractions (convolution)

large box shaped PTV for the dose profile

(analytical convolution)

spherical shape of the CDF for the CTV

(analytical CDF)