Optimal placement of irradiation sources in the planning of radiotherapy: mathematical models and methods of solving

DOI10.1155/2015/142987zbMath1343.92210OpenAlexW2166561882WikidataQ36205737 ScholiaQ36205737MaRDI QIDQ307702

Oleg Blyuss, Elena Kiseleva, Larysa Koriashkina, Robert Molchanov

Publication date: 5 September 2016

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/142987

zbMATH Keywords

subgradient methodnondifferentiable optimizationradiotherapyShor's r-algorithm

Mathematics Subject Classification ID

Medical applications (general) (92C50)

Related Items (4)

Sparse balanced layout of ellipsoids ⋮ Proportional packing of circles in a circular container ⋮ Sparse balanced layout of spherical voids in three-dimensional domains ⋮ Lattice coverage of cuboid with minimum number of hemispheres

Cites Work

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• Solving the dynamic optimal set partitioning problem with arrangement of centers of subsets
• Theory of continuous optimal set partitioning problems as a universal mathematical formalism for constructing Voronoi diagrams and their generalizations. I. Theoretical foundations
• Algorithms of nondifferentiable optimization: development and application
• INVERSE RADIOTHERAPY TREATMENT PLANNING MODEL APPLYING BOLTZMANN-TRANSPORT EQUATION

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