Mathematical optimization for the inverse problem of intensity modulated radiation therapy

In this tutorial we discuss modeling issues in intensity modulated radiation therapy, contrasting the continuous model with the fully-discretized one and considering feasibility formulations versus optimization setups. We review briefly some mathematical optimization techniques for IMRT. These include global optimization, multi-objective optimization, linear and mixed integer programming and projection methods.


in: J.R. Palta and T.R. Mackie (Editors), Intensity-Modulated Radiation Therapy: The State of The Art, American Association of Physicists in Medicine, Medical Physics Monograph No. 29, Medical Physics Publishing, Madison, Wisconsin, USA, 2003, pp. 25-49.