Title: Optimizing Radiotherapy Plans

Radiotherapy is the treatment of tumors by external beams of electrons or photons. A treatment plan consists of a collection of beam angles, intensities along these angles, and shielding information. Because modern treatment facilities are capable of implementing complicated treatment plans, modeling software is needed to obtain desirable plans. A new linear optimization model is developed that produces treatment plans that guarantee 1) that the tumor receives a uniform dose and 2) that critical structures are damaged as little as possible. Moreover, we show that the analytic center solution produced by a path-following interior point algorithm has favorable characteristics. Future and ongoing research projects are presented.