2016
DOI: 10.1007/978-3-319-44543-4_24
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SOBRA - Shielding Optimization for BRAchytherapy

Abstract: In this paper, we study a combinatorial problem which arises in the development of innovative treatment strategies and equipment using tunable shields in internal radiotherapy. From an algorithmic point of view, the problem is related to circular integer word decomposition into circular binary words under constraints. We consider several variants of the problem, depending on constraints and parameters and present polynomial time exact algorithms, polynomial time approximation algorithms and NP-hardness results. Show more

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Cited by 1 publication
(2 citation statements)
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“…A simplified version of the dose planning with an objective similar to the LPM is shown to be NP-complete. 125 A motivation for this is that each dwell position can have a number of shield configurations, and for each configuration there are binary choices of whether to shield a direction or not. Furthermore, there are constraints (or an objective) to minimize the number of different shield settings used.…”
Section: H Intensity-modulated Brachytherapymentioning
confidence: 99%
See 1 more Smart Citation
“…A simplified version of the dose planning with an objective similar to the LPM is shown to be NP-complete. 125 A motivation for this is that each dwell position can have a number of shield configurations, and for each configuration there are binary choices of whether to shield a direction or not. Furthermore, there are constraints (or an objective) to minimize the number of different shield settings used.…”
Section: H Intensity-modulated Brachytherapymentioning
confidence: 99%
“…The IMBT planning problems is studied also from a theoretical perspective. A simplified version of the dose planning with an objective similar to the LPM is shown to be NP‐complete 125 . A motivation for this is that each dwell position can have a number of shield configurations, and for each configuration there are binary choices of whether to shield a direction or not.…”
Section: Mathematical Modelsmentioning
confidence: 99%