Binary level-set shape optimization model and algorithm for volumetric modulated arc therapy in radiotherapy treatment

Li Tien Cheng, Bin Dong, Chunhua Men, Xun Jia, Steve Jiang

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We introduce, in this paper, a variational framework for the construction of improved treatment plans in volumetric modulated arc therapy for cancer treatment. This framework consists of a shape optimization component, from the molding of beam shapes, as well as strong constraints, from the equipment involved, on both beam shapes and intensities. We apply the binary level-set method, to handle complex shape topologies, and the fast sweeping method, to handle beam intensity constraints. The result is a fast, flow-based algorithm, in a simplified setting, that guarantees energy decrease. We include numerical simulations of clinical cases to demonstrate the efficacy of the approach.

Original languageEnglish (US)
Pages (from-to)B1321-B1340
JournalSIAM Journal on Scientific Computing
Volume35
Issue number6
DOIs
StatePublished - Dec 1 2013

Keywords

  • Cancer radiotherapy
  • Fast sweeping method
  • Level-set method
  • Shape optimization
  • Variational method
  • Volumetric modulated arc therapy

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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