Examination of the effect of increasing the number of radiation beams on a radiation treatment plan

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...

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Bibliographic Details
Published in:Physics in medicine & biology 2002-10, Vol.47 (19), p.3485-3501
Main Authors: Crooks, Steven M, Pugachev, Andrei, King, Christopher, Xing, Lei
Format: Article
Language:English
Subjects:
Biological and medical sciences
Dose-Response Relationship, Radiation
Head and Neck Neoplasms - radiotherapy
Humans
Male
Medical sciences
Models, Statistical
Models, Theoretical
Prostatic Neoplasms - radiotherapy
Radiotherapy - methods
Radiotherapy Planning, Computer-Assisted - methods
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Summary: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.
ISSN:0031-9155
1361-6560
DOI:10.1088/0031-9155/47/19/304