A new technique for radiotherapy planning using quadratic programming

Redpath, Anthony Thomas; Vickery, B. L.; Wright, D.

doi:10.1088/0031-9155/21/5/007

Cited by 89 publications

(30 citation statements)

References 10 publications

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“…Comparison of effects of mean versus NTCP costlets for right parotid. Langer, 1990) or quadratic (Holmes, 1994;De Wagter, 1998;Oldham, 1995;Redpath, 1976) functions, the probability of uncomplicated control (P + ) (Kallman, 1992;Agren, 1990;Soderstrom, 1993), and other methods based on biological indices (such as TCP, NTCP, V eff ).…”

Section: Discussionmentioning

confidence: 99%

Costlets: A Generalized Approach to Cost Functions for Automated Optimization of IMRT Treatment Plans

et al. 2005

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Abstract. We present the creation and use of a generalized cost function methodology based on costlets for automated optimization for conformal and intensity modulated radiotherapy treatment plans. In our approach, cost functions are created by combining clinically relevant "costlets". Each costlet is created by the user, using an "evaluator" of the plan or dose distribution which is incorporated into a function or "modifier" to create an individual costlet. Dose statistics, dose-volume points, biological model results, non-dosimetric parameters, and any other information can be converted into a costlet. A wide variety of different types of costlets can be used concurrently. Individual costlet changes affect not only the results for that structure, but also all the other structures in the plan (e.g., a change in a normal tissue costlet can have large effects on target volume results as well as the normal tissue). Effective cost functions can be created from combinations of dose-based costlets, dose-volume costlets, biological model costlets, and other parameters. Generalized cost functions based on costlets have been demonstrated, and show potential for allowing input of numerous clinical issues into the optimization process, thereby helping to achieve clinically useful optimized plans. In this paper, we describe and illustrate the use of the costlets in an automated planning system developed and used clinically at the University of Michigan Medical Center. We place particular emphasis on the flexibility of the system, and its ability to discover a variety of plans making various trade-offs between clinical goals of the treatment that may be difficult to meet simultaneously.

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Section: Discussionmentioning

confidence: 99%

Costlets: A Generalized Approach to Cost Functions for Automated Optimization of IMRT Treatment Plans

et al. 2005

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“…At present, a basic nonlinear programming model, the weighted least squares model is one of the most prevalent formulations, see, e.g., Redpath et al (1976), McDonald and Rubin (1977), Starkschall (1984), Webb (1989Webb ( , 1991Webb ( , 1994a, Bortfeld et al (1990), Bortfeld et al (1994a), Xing and Chen (1996), Xing et al (1998). Some commercial IMRT systems on the market model their objective as a weighted least squares function, such as Helios and Focus (their models are based on the work of Spirou and Chui (1998) and Xing et al (1998), respectively).…”

Section: Modelsmentioning

confidence: 99%

Mathematical optimization in intensity modulated radiation therapy

Ehrgott

Güler

Hamacher

et al. 2008

4OR

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The design of an intensity modulated radiotherapy treatment includes the selection of beam angles (geometry problem), the computation of an intensity map for each selected beam angle (intensity problem), and finding a sequence of configurations of a multileaf collimator to deliver the treatment (realization problem). Until the end of the last century research on radiotherapy treatment design has been published almost exclusively in the medical physics literature. However, since then, the attention of researchers in mathematical optimization has been drawn to the area and important progress has been made. In this paper we survey the use of optimization models, methods, and theories in intensity modulated radiotherapy treatment design.H.W. Hamacher and Ç.

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“…While much of the literature reformulates the constraints of the problem into the objective using penalization, we propose here to exploit the power of constrained optimization. Thus, these problems can be cast as a quadratic programming problem, minimizing the Euclidean distance between the dose delivered to each voxel and the prescribed dose [7,22,26,27]. Our formulation uses w A to represent the beam weight delivered from angle A, D (i,j,k) for the total dose deposited to voxel (i, j, k) and λ to represent the relative weighting factors in the objective function.…”

Section: Beam Weight Optimizationmentioning

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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A new technique for radiotherapy planning using quadratic programming

Cited by 89 publications

References 10 publications

Costlets: A Generalized Approach to Cost Functions for Automated Optimization of IMRT Treatment Plans

Costlets: A Generalized Approach to Cost Functions for Automated Optimization of IMRT Treatment Plans

Mathematical optimization in intensity modulated radiation therapy

Optimization Tools for Radiation Treatment Planning in Matlab

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