Purpose: The radiotherapy planning target volume (PTV) encloses the clinica
l target volume (CTV) with anisotropic margins to account for possible unce
rtainties in beam alignment, patient positioning, organ motion, and organ d
eformation. Ideally, the CTV-PTV margin should be determined solely by the
magnitudes of the uncertainties involved. In practice, the clinician usuall
y also considers doses to abutting healthy tissues when deciding on the siz
e of the CTV-PTV margin. This study calculates the ideal size of the CTV-PT
V margin when only physical position uncertainties are considered.
Methods and Materials: The position of the CTV for any treatment is assumed
to be described by independent Gaussian distributions in each of the three
Cartesian directions. Three strategies for choosing a CTV-PTV margin are a
nalyzed. The CTV-PTV margin can be based on: 1, the probability that the CT
V is completely enclosed by the PTV; 2, the probability that the projection
of the CTV in the beam's eye view (BEV) is completely enclosed by the proj
ection of the PTV in the BEV; and 3, the probability that a point on the ed
ge of the CTV is within the PTV, Cumulative probability distributions are d
erived for each of the above strategies.
Results: Expansion of the CTV by 1 standard deviation (SD) in each directio
n results in the CTV being entirely enclosed within the PTV 24% of the time
; the BEV projection of the CTV is enclosed within the BEV projection of th
e PTV 39% of the time; and a point on the edge of the CTV is within the PTV
84% of the time. To have the CTV enclosed entirely within the PTV 95% of t
he time requires a margin of 2.8 SD. For the BEV projection of the CTV to b
e within the BEV projection of the PTV 95% of the time requires a margin of
2.45 SD. To have any point on the surface of the CTV be within the PTV 95%
of the time requires a margin of 1.65 SD.
Conclusion: In the first two strategies for selecting a margin, the probabi
lity of finding the CTV within the PTV is unrelated to dose variations in t
he CTV. In the third strategy, the specified confidence limit is correlated
with the minimum target dose, We recommend that the PTV be calculated from
the CTV using a margin of 1.65 SD in each direction. This gives a minimum
CTV dose that is greater than 95% of the minimum PTV dose. Additional spari
ng of adjoining healthy structures should be accomplished by modifying beam
portals, rather than adjusting the PTV, Then, the dose distributions more
accurately reflect the clinical compromise between treating the tumor and s
paring the patient, (C) 1999 Elsevier Science Inc.