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SU‐E‐T‐600: Exploration of Reduced Order Prioritized Optimization for IMRT Treatment Planning
Author(s) -
Kalantzis G,
Rivera L,
Apte A,
Radke R,
Jackson A
Publication year - 2013
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.4815028
Subject(s) - mathematical optimization , mathematics , curse of dimensionality , radiation treatment planning , computer science , algorithm , radiation therapy , medicine , statistics , surgery
Purpose: Investigate the feasibility of reduced order prioritized optimization for IMRT treatments. Methods: The proposed method consists of three stages. Firstly, we sample the intensities space by solving a series of unconstrained optimizations of a scalar weighted sum of partial objectives for the target and the organs at risk (OARs). Secondly, the dimensionality of the search space is reduced using principal component analysis on the solution samples. Finally, treatment planning goals/objectives are prioritized and the problem is solved sequentially in the reduced order space: low priority objectives are optimized provided they do not interfere with the higher priority objectives. In the current study a quadratic deviation of the prescribed dose and the mean dose was used for the objectives of the PTV and the OARs respectively. Finally, a slip factor s, a dimensionless parameter, was used in order to relax the hard constraints regarding the PTV coverage within the established max and min dose limits and offer more flexibility to the algorithm for the lower order priorities. Results: The method was applied to a prostate IMRT plan with five coplanar beams. Two OARs were considered: rectum and bladder. On completion of the sequential prioritized optimization the mean dose at the rectum and the bladder was reduced by 20.5% and 21.5% respectively compared to the mean dose at the first step of the optimization for a slip factor s = 3. Finally, a max speedup of ∼22 was achieved for the prioritized optimization steps. Conclusion: A proof of concept was demonstrated for reduced order prioritized optimization for IMRT planning. Dimensionality reduction techniques may be applied to reduce the complexity time of the constraint prioritization optimization steps for IMRT planning.