Global convergence analysis of fast multiobjective gradient-based dose optimization algorithms for high-dose-rate brachytherapy

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dc.contributor.author Lahanas, M en
dc.contributor.author Baltas, D en
dc.contributor.author Giannouli, S en
dc.date.accessioned 2014-03-01T01:19:01Z
dc.date.available 2014-03-01T01:19:01Z
dc.date.issued 2003 en
dc.identifier.issn 0031-9155 en
dc.identifier.uri http://hdl.handle.net/123456789/15326
dc.subject.classification Engineering, Biomedical en
dc.subject.classification Radiology, Nuclear Medicine & Medical Imaging en
dc.subject.other Algorithms en
dc.subject.other Computational methods en
dc.subject.other Convergence of numerical methods en
dc.subject.other Dosimetry en
dc.subject.other Respiratory therapy en
dc.subject.other Simulated annealing en
dc.subject.other Brachytherapy en
dc.subject.other Radiotherapy en
dc.subject.other algorithm en
dc.subject.other article en
dc.subject.other brachytherapy en
dc.subject.other controlled study en
dc.subject.other dosimetry en
dc.subject.other implant en
dc.subject.other intermethod comparison en
dc.subject.other mathematical computing en
dc.subject.other priority journal en
dc.subject.other process optimization en
dc.subject.other prostate en
dc.subject.other radiation dose en
dc.subject.other simulation en
dc.subject.other time en
dc.subject.other treatment planning en
dc.subject.other Algorithms en
dc.subject.other Brachytherapy en
dc.subject.other Humans en
dc.subject.other Male en
dc.subject.other Prostatic Neoplasms en
dc.subject.other Quality Control en
dc.subject.other Radiometry en
dc.subject.other Radiotherapy Dosage en
dc.subject.other Radiotherapy Planning, Computer-Assisted en
dc.subject.other Reproducibility of Results en
dc.subject.other Sensitivity and Specificity en
dc.title Global convergence analysis of fast multiobjective gradient-based dose optimization algorithms for high-dose-rate brachytherapy en
heal.type journalArticle en
heal.identifier.primary 10.1088/0031-9155/48/5/304 en
heal.identifier.secondary http://dx.doi.org/10.1088/0031-9155/48/5/304 en
heal.language English en
heal.publicationDate 2003 en
heal.abstract We consider the problem of the global convergence of gradient-based optimization algorithms for interstitial high-dose-rate (HDR) brachytherapy dose optimization using variance-based objectives. Possible local minima could lead to only sub-optimal solutions. We perform a configuration space analysis using a representative set of the entire non-dominated solution space. A set of three prostate implants is used in this study. We compare the results obtained by conjugate gradient algorithms, two variable metric algorithms and fast-simulated annealing. For the variable metric algorithm BFGS from numerical recipes, large fluctuations are observed. The limited memory L-BFGS algorithm and the conjugate gradient algorithm FRPR are globally convergent. Local minima or degenerate states are not observed. We study the possibility of obtaining a representative set of non-dominated solutions using optimal solution rearrangement and a warm start mechanism. For the surface and volume dose variance and their derivatives, a method is proposed which significantly reduces the number of required operations. The optimization time, ignoring a preprocessing step, is independent of the number of sampling points in the planning target volume. Multiobjective dose optimization in HDR brachytherapy using L-BFGS and a new modified computation method for the objectives and derivatives has been accelerated, depending on the number of sampling points, by a factor in the range 10-100. en
heal.publisher IOP PUBLISHING LTD en
heal.journalName Physics in Medicine and Biology en
dc.identifier.doi 10.1088/0031-9155/48/5/304 en
dc.identifier.isi ISI:000181958500004 en
dc.identifier.volume 48 en
dc.identifier.issue 5 en
dc.identifier.spage 599 en
dc.identifier.epage 617 en

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