The Method of Linear Programming Applied to Radiation Treatment Planning

Bahr, Gustave K.; Kereiakes, J G; Horwitz, H.; Finney, R; Galvin, James M.; Goode, Keith

doi:10.1148/91.4.686

Cited by 124 publications

(58 citation statements)

References 3 publications

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“…On the first solve we only include normal tissue dose points that are adjacent to the target, forming a collar around the target. This concept was used in the earliest work in the field [5].…”

Section: Problem Managementmentioning

confidence: 99%

“…The goal of the design process is to select the pathways along which the radiation will pass through the anatomy and to decide the amount of dose that will be delivered along each pathway, called a fluence value. Bahr [6] first suggested that we optimize treatments in 1968, and since then medical physicists have developed a plethora of models to investigate the design process. Currently, commercially available planning systems optimize only the fluence value and do not additionally optimize the pathways.…”

Section: Introductionmentioning

confidence: 99%

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Radiotherapy optimAl Design: An Academic Radiotherapy Treatment Design System

Acosta

Brick

Hanna

et al. 2009

Operations Research and Cyber-Infrastructure

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Optimally designing radiotherapy and radiosurgery treatments to increase the likelihood of a successful recovery from cancer is an important application of operations research. Researchers have been hindered by the lack of academic software that supports head-to-head comparisons of different techniques, and this article addresses the inherent difficulties of designing and implementing an academic treatment planning system. In particular, this article details the algorithms and the software design of Radiotherapy optimAl Design (RAD).

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Section: Problem Managementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Radiotherapy optimAl Design: An Academic Radiotherapy Treatment Design System

Acosta

Brick

Hanna

et al. 2009

Operations Research and Cyber-Infrastructure

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show abstract

“…(see related work in Bahr et al 1968 andMorrill et al 1990). Since each of the voxels i j k ∈ 1 effectively represents itself and seven neighboring voxels, the weights applied to the voxels i j k ∈ 1 in the objective functions (4) and (5) should be increased correspondingly.…”

Section: Reducing Resolution In the Normal Tissuementioning

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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“…Other constraints may be useful to deal with prescription constraints at other locations. An implementation of this model is given as qp.gms in Appendix C. Linear programming (LP) has also been extensively used to improve conventional treatment planning techniques [1,17,20,24,26]. The strength of LP is its ability to control hot and cold spots or integral dose on the organs using constraints, and the presence of many state-of-the-art LP solvers.…”

Section: Beam Weight Optimizationmentioning

confidence: 99%

“…The tools described in this paper can be used for creating radiation therapy treatment plans delivered using either of two treatment techniques: (1) three-dimensional conformal radiotherapy (3DCRT) or (2) intensity modulated radiation therapy (IMRT).…”

Section: Introductionmentioning

confidence: 99%

Optimization Tools for Radiation Treatment Planning in Matlab

Ferris

Lim

Shepard

2005

International Series in Operations Research &Amp; Management Science

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This paper describes a suite of optimization tools for radiation treatment planning within the Matlab programming environment. The data included with these tools was computed for real patient cases using a Monte Carlo dose engine. The formulation of a series of optimization models is described that utilizes this data within a modeling system. Furthermore, visualization techniques are provided that assist in validating the quality of each solution. The versatility and utility of the tools are shown using a sequence of optimization techniques designed to generate a practical solution. These tools and the associated data are available for download from www.cs.wisc.edu/∼ferris/3dcrt.

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The Method of Linear Programming Applied to Radiation Treatment Planning

Cited by 124 publications

References 3 publications

Radiotherapy optimAl Design: An Academic Radiotherapy Treatment Design System

Radiotherapy optimAl Design: An Academic Radiotherapy Treatment Design System

An Optimization Framework for Conformal Radiation Treatment Planning

Optimization Tools for Radiation Treatment Planning in Matlab

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