November 20, 2012 -
4:30 pm to 5:30 pm
Location: Cupples I, Room 6 |
Host: Prof. Victor Wickerhauser
Abstract: Intensity Modulated Radiation Therapy (IMRT) is widely used in tumor treatment planning. A nonlinear programming is involved in IMRT. In this presentation, I will introduce the mathematical model of IMRT. IMRT is a large-size problem and practically sampling has to be used to satisfy current computer memory and speed limit. A comparison of four different sampling methods will be shown in this presentation and a simple theory for sampling will be introduced. Then, I will introduce an order statistic dose-volume metric which is an important metric in IMRT. A method will be presented to estimate dose-volume metric with other nice-behaved functions, such as convex functions, to make it possible to include dose-volume metric in fast linear or nonlinear programming.
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