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Minimization-Algorithms for Biological Multiple Field Optimization

The software TRiP98 [1, 2, 3] is successfully used for patient treatment planning in the GSI pilot project. A crucial part of the treatment planning is the particle number optimization. The main goal of optimization is to achieve a target dose distribution as close as possible to the prescribed biological dose distribution. Multiple field optimization (MFO) allows a better target conformity and a sparing of organs-at-risk (OAR) by 20-50% in comparison with single field optimization (SFO) [5]. Thus MFO was implemented in TRiP98 and in 2007 the first patients were treated at GSI with MFO plans. In this contribution we examine three numerical algorithms, used to solve the nonlinear optimization problem.