Optimization of beam orientation in radiotherapy using planar geometry

Haas, Olivier C.L.; Burnham, Keith J.; Mills, John A.

doi:10.1088/0031-9155/43/8/013

Cited by 105 publications

(76 citation statements)

References 13 publications

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“…A different approach has been proposed by Hass et al (1998). They address a geometric formulation of the coplanar beam-orientation problem by means of a hybrid multi-objective genetic algorithm, which attempts to replicate the approach of a (human) treatment planner while reducing the amount of computation required.…”

Section: Optimization Beam Anglesmentioning

confidence: 99%

An Optimization Framework for Conformal Radiation Treatment Planning

Lim

Ferris

Wright

et al. 2007

INFORMS Journal on Computing

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A n optimization framework for three-dimensional conformal radiation therapy is presented. In conformal therapy, beams of radiation are applied to a patient from different directions, where the aperture through which the beam is delivered from each direction is chosen to match the shape of the tumor, as viewed from that direction. Wedge filters may be used to produce a gradient in beam intensity across the aperture. Given a set of equispaced beam angles, a mixed-integer linear program can be solved to determine the most effective angles to be used in a treatment plan, the weight (exposure time) to be used for each beam, and the type and orientation of wedges to be used. Practical solution techniques for this problem are described; they include strengthening of the formulation and solution of smaller approximate problems obtained by a reduced parametrization of the treatment region. In addition, techniques for controlling the dose-volume histogram implicitly for various parts of the treatment region using hot-and cold-spot control parameters are presented. Computational results are given that show the effectiveness of the proposed approach on practical data sets.

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Section: Optimization Beam Anglesmentioning

confidence: 99%

An Optimization Framework for Conformal Radiation Treatment Planning

Lim

Ferris

Wright

et al. 2007

INFORMS Journal on Computing

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“…The proposed approach here is different from other beam orientation optimization algorithms, for example those described in Refs. [32,33] in that the available information is utilized. Instead of adding to the objective function used to evaluate the "fitness" or "energy" of a trial configuration, we use the BEVD at the step of designing the trial configuration.…”

Section: Bevd-guided Beam Orientation Optimizationmentioning

confidence: 99%

Combining Electron With Intensity Modulated Photon Beams for Breast Cancer

Liu¹

2003

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“…The beam angle optimization for IMRT has been addressed by using a variety of methods ranging from beam angle scoring and scoring function guided beam orientation optimization, 25,26 class-solution, 27 metaheuristic techniques such as simulated annealing 28,29 and genetic algorithm, 30 exact methods such as pattern search, 31 gradient-based local search, 32 and mixed integer programming. 33,34 To the best of our knowledge, there is no published research to address the problem of optimizing the beam angles and apertures altogether for IMRT or VMAT that we can borrow and adapt for SPORT.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous beam sampling and aperture shape optimization for SPORT

Zarepisheh

et al. 2015

Medical Physics

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Purpose: Station parameter optimized radiation therapy (SPORT) was recently proposed to fully utilize the technical capability of emerging digital linear accelerators, in which the station parameters of a delivery system, such as aperture shape and weight, couch position/angle, gantry/collimator angle, can be optimized simultaneously. SPORT promises to deliver remarkable radiation dose distributions in an efficient manner, yet there exists no optimization algorithm for its implementation. The purpose of this work is to develop an algorithm to simultaneously optimize the beam sampling and aperture shapes. Methods: The authors build a mathematical model with the fundamental station point parameters as the decision variables. To solve the resulting large-scale optimization problem, the authors devise an effective algorithm by integrating three advanced optimization techniques: column generation, subgradient method, and pattern search. Column generation adds the most beneficial stations sequentially until the plan quality improvement saturates and provides a good starting point for the subsequent optimization. It also adds the new stations during the algorithm if beneficial. For each update resulted from column generation, the subgradient method improves the selected stations locally by reshaping the apertures and updating the beam angles toward a descent subgradient direction. The algorithm continues to improve the selected stations locally and globally by a pattern search algorithm to explore the part of search space not reachable by the subgradient method. By combining these three techniques together, all plausible combinations of station parameters are searched efficiently to yield the optimal solution. Results: A SPORT optimization framework with seamlessly integration of three complementary algorithms, column generation, subgradient method, and pattern search, was established. The proposed technique was applied to two previously treated clinical cases: a head and neck and a prostate case. It significantly improved the target conformality and at the same time critical structure sparing compared with conventional intensity modulated radiation therapy (IMRT). In the head and neck case, for example, the average PTV coverage D99% for two PTVs, cord and brainstem max doses, and right parotid gland mean dose were improved, respectively, by about 7%, 37%, 12%, and 16%. Conclusions: The proposed method automatically determines the number of the stations required to generate a satisfactory plan and optimizes simultaneously the involved station parameters, leading to improved quality of the resultant treatment plans as compared with the conventional IMRT plans. C 2015 American Association of Physicists in Medicine. [http://dx

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Optimization of beam orientation in radiotherapy using planar geometry

Cited by 105 publications

References 13 publications

An Optimization Framework for Conformal Radiation Treatment Planning

An Optimization Framework for Conformal Radiation Treatment Planning

Combining Electron With Intensity Modulated Photon Beams for Breast Cancer

Simultaneous beam sampling and aperture shape optimization for SPORT

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