TY - JOUR
T1 - Examination of the effect of increasing the number of radiation beams on a radiation treatment plan
AU - Crooks, Steven M.
AU - Pugachev, Andrei
AU - King, Christopher
AU - Xing, Lei
PY - 2002/10/7
Y1 - 2002/10/7
N2 - Within the confines of least-squares operations, it is possible to quantify the effect of the addition of treatment fields or beamlets to a treatment plan. Using linear algebra and eigenvalue perturbation theory, the effect of the increase in number of treatments is shown to be equivalent to adding a perturbation operator. The effect of adding additional fields will be negligible if the perturbation operator is small. The correspondence of this approach to an earlier work in beam-orientation optimization is also demonstrated. Results are presented for prostate, spinal and head and neck cases, and the connection to beam-orientation optimization is examined.
AB - Within the confines of least-squares operations, it is possible to quantify the effect of the addition of treatment fields or beamlets to a treatment plan. Using linear algebra and eigenvalue perturbation theory, the effect of the increase in number of treatments is shown to be equivalent to adding a perturbation operator. The effect of adding additional fields will be negligible if the perturbation operator is small. The correspondence of this approach to an earlier work in beam-orientation optimization is also demonstrated. Results are presented for prostate, spinal and head and neck cases, and the connection to beam-orientation optimization is examined.
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U2 - 10.1088/0031-9155/47/19/304
DO - 10.1088/0031-9155/47/19/304
M3 - Article
C2 - 12408477
AN - SCOPUS:0037037758
SN - 0031-9155
VL - 47
SP - 3485
EP - 3501
JO - Physics in medicine and biology
JF - Physics in medicine and biology
IS - 19
ER -