Efficient Schemes for Robust IMRT Treatment Planning

Arinbjorn Olafsson (arinbjorcs.wisc.edu)
Stephen Wright (swrightcs.wisc.edu)

Abstract: We use robust optimization techniques to formulate an IMRT treatment planning problem in which the dose matrices are uncertain, due to both dose calculation errors and inter-fraction positional uncertainty of tumor and organs. When the uncertainty is taken into account, the original linear programming formulation becomes a second-order cone program. We describe a novel and efficient approach for solving this problem, and present results to compare the performance of our scheme with a more conventional formulation in which planning tumor volume are used to account for positional uncertainties.

Keywords: Cancer Treatment Planning, Robust Optimization

Category 1: Applications -- Science and Engineering (Biomedical Applications )

Category 2: Robust Optimization

Citation: Optimization Technical Report 06-01, January 2006 (Revised June 2006), Department of Computer Sciences, University of Wisconsin-Madison.

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Entry Submitted: 01/13/2006
Entry Accepted: 01/13/2006
Entry Last Modified: 07/05/2006

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