title: Linear algebraic methods applied to intensity modulated radiation therapy.
abstract: Methods of linear algebra are applied to the choice of beam weights for intensity modulated radiation therapy (IMRT). It is shown that the physical interpretation of the beam weights, target homogeneity and ratios of deposited energy can be given in terms of matrix equations and quadratic forms. The methodology of fitting using linear algebra as applied to IMRT is examined. Results are compared with IMRT plans that had been prepared using a commercially available IMRT treatment planning system and previously delivered to cancer patients.
authors.affiliation: Department of Radiation Oncology, Stanford University Medical Center, CA 94305, USA.
authors.forename: S M
authors.initials: SM
authors.lastname: Crooks
authors.forename: L
authors.initials: L
authors.lastname: Xing
mesh_terms: D004307:Dose-Response Relationship, Radiation; D006258:Head and Neck Neoplasms / Q000532:radiotherapy; D006801:Humans; D008113:Liver Neoplasms / Q000532:radiotherapy; D008297:Male; D015233:Models, Statistical; D008962:Models, Theoretical; D011471:Prostatic Neoplasms / Q000532:radiotherapy; D011880:Radiotherapy Planning, Computer-Assisted / Q000379:methods*; D020266:Radiotherapy, Conformal / Q000295:instrumentation* / Q000379:methods*