Reduced-order constrained optimization in IMRT planning Journal Article

   


Authors: Lu, R.; Radke, R. J.; Yang, J.; Happersett, L.; Yorke, E.; Jackson, A.
Article Title: Reduced-order constrained optimization in IMRT planning
Abstract: This paper presents a new algorithm for constrained intensity-modulated radiotherapy (IMRT) planning, made tractable by a dimensionality reduction using a set of plans obtained by fast, unconstrained optimizations. The main result is to reduce planning time by an order of magnitude, producing viable five field prostate IMRT plans in about 5 min. Broadly, the algorithm has three steps. First, we solve a series of independent unconstrained minimization problems based on standard penalty-based objective functions, 'probing' the space of reasonable beamlet intensities. Next, we apply principal component analysis (PCA) to this set of plans, revealing that the high-dimensional intensity space can be spanned by only a few basis vectors. Finally, we parameterize an IMRT plan as a linear combination of these few basis vectors, enabling the fast solution of a constrained optimization problem for the desired intensities. We describe a simple iterative process for handling the dose-volume constraints that are typically required for clinical evaluation, and demonstrate that the resulting plans meet all clinical constraints based on an approximate dose calculation algorithm. © 2008 Institute of Physics and Engineering in Medicine.
Keywords: clinical article; intensity modulated radiation therapy; treatment planning; algorithms; radiation dosage; prostate cancer; prostatic neoplasms; algorithm; physical therapy; radiotherapy, intensity-modulated; radiotherapy planning, computer-assisted; monte carlo method; optimization; principal component analysis; constrained optimization; vectors; constraint theory; basis vectors; beamlet; clinical evaluations; constrained optimization problems; dimensionality reductions; dose calculations; imrt planning; imrt plans; iterative processes; linear combinations; new algorithms; objective functions; planning times; principal components; three steps; unconstrained minimization problems; unconstrained optimizations; volume constraints
Journal Title: Physics in Medicine and Biology
Volume: 53
Issue: 23
ISSN: 0031-9155
Publisher: IOP Publishing Ltd  
Date Published: 2008-12-07
Start Page: 6749
End Page: 6766
Language: English
DOI: 10.1088/0031-9155/53/23/007
PUBMED: 18997270
PROVIDER: scopus
PMCID: PMC2907243
DOI/URL:

http://www.scopus.com/inward/record.url?eid=2-s2.0-58149252209&partnerID=40&md5=323bb4432560e2c9c8a3ad0dae4ac609
Notes: --- - "Cited By (since 1996): 4" - "Export Date: 17 November 2011" - "CODEN: PHMBA" - "Source: Scopus"
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MSK Authors
  1. Laura Happersett
    89 Happersett
  2. Andrew Jackson
    253 Jackson
  3. Ellen D Yorke
    450 Yorke
  4. Jie Yang
    50 Yang
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