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Multicriteria optimization for volumetric-modulated arc therapy by decomposition into a fluence-based relaxation and a segment weight-based restriction
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10.1118/1.4754652
/content/aapm/journal/medphys/39/11/10.1118/1.4754652
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/39/11/10.1118/1.4754652

Figures

Image of FIG. 1.
FIG. 1.

Overview of the MCO method: A collection of n f fluence-based plans are generated and combined into a single navigated plan by a convex combination with coefficient vector λ. The navigated plan is converted into a deliverable VMAT plan using reference DVH optimization, with the reference dose d ref set equal to the dose distribution of the navigated solution. A collection of n s segment weight-based plans in a neighborhood of the initial converted solution are generated and combined into a final treatment plan by a convex combination with coefficient vector ξ. Parameters that constitute variables at each considered step are indicated in bold. The mathematical notation used in the illustration is introduced in Secs. II D–II F.

Image of FIG. 2.
FIG. 2.

Penalty imposed by a max reference DVH function assigned to an OAR and a one-sided uniform reference DVH function assigned to a PTV. The current DVH is indicated by solid lines and the reference DVH by dashed lines. The shaded regions indicate cumulative volumes where a quadratic penalty is imposed on differences along the dose axis.

Image of FIG. 3.
FIG. 3.

(a) DVH results for the prostate case. Incremental stages of the MCO method are indicated by solid lines while the benchmark plan is indicated by dashed lines. (b) Transversal slices of dose distributions for the prostate case at incremental stages of the MCO method and for the benchmark method. ROI contours are indicated in black.

Image of FIG. 4.
FIG. 4.

(a) DVH results for the pancreas case. Incremental stages of the MCO method are indicated by solid lines while the benchmark plan is indicated by dashed lines. (b) Transversal slices of dose distributions for the pancreas case at incremental stages of the MCO method and for the benchmark method. ROI contours are indicated in black.

Image of FIG. 5.
FIG. 5.

(a) DVH results for the lung case. Incremental stages of the MCO method are indicated by solid lines while the benchmark plan is indicated by dashed lines. (b) Transversal slices of dose distributions for the lung case at incremental stages of the MCO method and for the benchmark method. ROI contours are indicated in black.

Image of FIG. 6.
FIG. 6.

(a) DVH results for the head and neck case. Incremental stages of the MCO method are indicated by solid lines while the benchmark plan is indicated by dashed lines. (b) Transversal slices of dose distributions for the head and neck case at incremental stages of the MCO method and for the benchmark method. ROI contours are indicated in black.

Image of FIG. 7.
FIG. 7.

L-curves of total variation of the fluence vector versus composite function value of a weighted sum of the objectives, with both quantities normalized to [0, 1]. The L-curves are parameterized by the penalty weight λ of the total variation functional.

Image of FIG. 8.
FIG. 8.

Optimized fluence profile at a fixed gantry angle as function of penalty weight λ of the total variation functional for the pancreas case.

Image of FIG. 9.
FIG. 9.

Optimized fluence profile at a fixed gantry angle as function of penalty weight λ of the total variation functional for the lung case.

Tables

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TABLE I.

Dose statistics for the prostate case.

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TABLE II.

Dose statistics for the pancreas case.

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TABLE III.

Dose statistics for the lung case.

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TABLE IV.

Dose statistics for the head and neck case.

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TABLE V.

Problem formulation for the prostate case.

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TABLE VI.

Problem formulation for the pancreas case.

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TABLE VII.

Problem formulation for the lung case.

Generic image for table
TABLE VIII.

Problem formulation for the head and neck case.

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/content/aapm/journal/medphys/39/11/10.1118/1.4754652
2012-10-16
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Multicriteria optimization for volumetric-modulated arc therapy by decomposition into a fluence-based relaxation and a segment weight-based restriction
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/39/11/10.1118/1.4754652
10.1118/1.4754652
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