2020
DOI: 10.1088/2057-1976/abb4bc
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A new optimization algorithm for HDR brachytherapy that improves DVH-based planning: Truncated Conditional Value-at-Risk (TCVaR)

Abstract: Purpose: To introduce a new optimization algorithm that improves DVH results and is designed for the type of heterogeneous dose distributions that occur in brachytherapy. Methods: The new optimization algorithm is based on a prior mathematical approach that uses mean doses of the DVH metric tails. The prior mean dose approach is referred to as conditional value-at-risk (CVaR), and unfortunately produces noticeably worse DVH metric results than gradient-based approaches. We have improved upon the CVaR approach,… Show more

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Cited by 4 publications
(6 citation statements)
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“…CVaR + represents a convex DVC that captures the mean upper‐tail dose of a structure's dose‐volume histogram and has previously been used to formulate linear RT optimization problems. 26 , 27 , 28 …”
Section: Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…CVaR + represents a convex DVC that captures the mean upper‐tail dose of a structure's dose‐volume histogram and has previously been used to formulate linear RT optimization problems. 26 , 27 , 28 …”
Section: Methodsmentioning
confidence: 99%
“…To avoid non‐convex functions of dose, dose‐volume constraints (DVC), which are typically represented by value‐at‐risk (VaR) metrics (e.g., V 20Gy , D 0.1cc ), are instead represented by upper conditional value‐at risk (CVaR + ) metrics in constraint (1f). CVaR + represents a convex DVC that captures the mean upper‐tail dose of a structure's dose‐volume histogram and has previously been used to formulate linear RT optimization problems 26–28 …”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The purpose was to increase the dose to the tumor dose points which receive the lowest dose, as the DI V 100 alone does not distinguish between the doses that are lower than the prescription dose. An approximation of DIs called truncated CVaR was used in Deufel et al (2020) and Wu et al (2020); in these approaches, a linear CVaR-based model was solved repeatedly to achieve accurate DI approximations.…”
Section: Solution Approachesmentioning
confidence: 99%
“…Romeijn et al [59] were the first to propose a dose planning model with MTD constraints for IMRT. An optimization model for HDR BT with MTD constraints was proposed in [60], but has later also been included in optimization models in Paper B and [61]. The following model with MTD constraints is adapted from [60].…”
Section: Mean-tail-dose Modelsmentioning
confidence: 99%