Mathematical optimization in intensity modulated radiation therapy (Q5900895)

scientific article; zbMATH DE number 5706061

Language	Label	Description	Also known as
English	Mathematical optimization in intensity modulated radiation therapy	scientific article; zbMATH DE number 5706061

Statements

instance of

scholarly article

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title

Mathematical optimization in intensity modulated radiation therapy (English)

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Annals of Operations Research

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publication date

10 May 2010

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zbMATH Keywords

intensity modulated radiation therapy

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optimization

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mathematical models

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medical physics

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describes a project that uses

L-BFGS

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NBI

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10479-009-0659-4

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cites work

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Q3056948

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Intensity modulated radiotherapy treatment planning by use of a barrier-penalty multiplier method

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A New Sequential Extraction Heuristic for Optimizing the Delivery of Cancer Radiation Treatment Using Multileaf Collimators

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An outer approximation algorithm for generating all efficient extreme points in the outcome set of a multiple objective linear programming problem

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Minimum-support solutions for radiotherapy planning

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Minimizing beam-on time in cancer radiation treatment using multileaf collimators

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Using eigenstructure of the Hessian to reduce the dimension of the intensity modulated radiation therapy optimization problem

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A computational solution of the inverse problem in radiation-therapy treatment planning

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On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning

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On linear infeasibility arising in intensity-modulated radiation therapy inverse planning

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Algorithms and Computation

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GEOMETRIC ALGORITHMS FOR STATIC LEAF SEQUENCING PROBLEMS IN RADIATION THERAPY

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Optimal terrain construction problems and applications in intensity-modulated radiation therapy

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GENERALIZED GEOMETRIC APPROACHES FOR LEAF SEQUENCING PROBLEMS IN RADIATION THERAPY

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Nonnegative integral subset representations of integer sets

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Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems

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Multicriteria Optimization

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Optimisation of beam directions in intensity modulated radiation therapy planning

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Beam selection in radiotherapy design

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Mathematical optimization in intensity modulated radiation therapy

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A new algorithm for optimal multileaf collimator field segmentation

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Fast simultaneous angle, wedge, and beam intensity optimization in inverse radiotherapy planning

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Constrained decompositions of integer matrices and their applications to intensity modulated radiation therapy

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An Exact Method for the Minimum Cardinality Problem in the Treatment Planning of Intensity-Modulated Radiotherapy

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Fractionation in radiation treatment planning

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Inverse radiation therapy planning -- a multiple objective optimization approach

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Q2867352

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The complexity of minimizing the number of shape matrices subject to minimal beam-on time in multileaf collimator field decomposition with bounded fluence

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Intensity-modulated radiotherapy -- a large scale multi-criteria programming problem

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Q4424340

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Integer programming applied to intensity-modulated radiation therapy treatment planning

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Identifiers

zbMATH Open document ID

1185.90219

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DOI

10.1007/s10479-009-0659-4

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5900895