title: Designing radiotherapy plans with elastic constraints and interior point methods.
abstract: A new linear programming model used to aid in the design of radiotherapy plans is introduced. This model incorporates elastic constraints, and when solved with a path following interior point method, produces favorable plans. A sound mathematical analysis shows how to interpret the solution, and hence, the treatment planner receives meaningful knowledge about the radiotherapy plan being developed. Preliminary experiments are conducted.
authors.affiliation: Department of Mathematics, Trinity University, 715 Stadium Drive, San Antonio, TX 78212, USA. aholder@trinity.edu
authors.forename: Allen
authors.initials: A
authors.lastname: Holder
mesh_terms: D003627:Data Interpretation, Statistical; D006801:Humans; D008432:Mathematical Computing; D009369:Neoplasms / Q000532:radiotherapy*; D011382:Programming, Linear; D011829:Radiation Dosage; D018787:Radiation Oncology / Q000295:instrumentation / Q000379:methods*; D011880:Radiotherapy Planning, Computer-Assisted / Q000379:methods* / Q000706:statistics & numerical data; D014481:United States