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CTV2PTV margin algorithm design concepts

The PTV is the volume, defined in

treatment room coordinates

, to which the

prescribed dose

a

must be delivered

in order to obtain a clinically acceptable and

specified probability that the prescribed dose is actually received by the CTV,

which has an uncertain location

b

a

95%

delivered

dose, including delivery (

random

per patient&fraction)

Van Herk

etal

, IJROBP, 2000 pp. 1121–1135:

uncertainties

σ

2

=

σ

2

pos

+

σ

2

mov

… and dose profile “penumbra”

σ

p

b

considering CTV preparation uncertainties

Σ

2

=

Σ

2

CTpos

+

Σ

2

delineation

… (random but

for each patient

systematic

) so that for 90% of the patients the entire CTV is

inside the ITV

(

)

p

2.5

,

M

f

Σ σ σ

= ⋅ +

Margin:

ITV

PTV