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

Steven M. Crooks, Andrei Pugachev, Christopher King, Lei Xing

Research output: Contribution to journalArticle

5 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)3485-3501
Number of pages17
JournalPhysics in Medicine and Biology
Issue number19
StatePublished - Oct 7 2002


ASJC Scopus subject areas

  • Radiological and Ultrasound Technology
  • Radiology Nuclear Medicine and imaging

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