Trade-off bounds for the Pareto surface approximation in multi-criteria IMRT planning

Physics in Medicine and Biology

Volumn 54, Issue 20, 2009, Pages 6299-6311

  Serna, J I ^a   Monz, M ^a   Kufer K H ^a   Thieke, C ^b  

^a FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

^b UNIVERSITY HOSPITAL HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION QUALITY; APPROXIMATION SCHEME; COMPUTATION TIME; COMPUTED PLANS; DATA SETS; EFFECTIVE TOOL; MULTI-CRITERIA; PARASPINAL; PARETO SURFACE; PARETO-OPTIMAL; PLANNING PROBLEM; SECOND PHASE; SOLUTION SPACE; TREATMENT PLANS;

COMMERCE; PARETO PRINCIPLE; PHYSICAL THERAPY;

SET THEORY;

ALGORITHM; ARTICLE; INTENSITY MODULATED RADIATION THERAPY; PHANTOM; PLANNING; PRIORITY JOURNAL; SPINAL CORD; SPINAL CORD TUMOR; TUMOR;

ALGORITHMS; AUTOMATION; COMPUTER SIMULATION; HUMANS; MALE; MODELS, STATISTICAL; NEOPLASMS; PROSTATIC NEOPLASMS; RADIOTHERAPY DOSAGE; RADIOTHERAPY PLANNING, COMPUTER-ASSISTED; RADIOTHERAPY, INTENSITY-MODULATED; REPRODUCIBILITY OF RESULTS; SOFTWARE; SPINAL NEOPLASMS;

EID: 71049128321     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/54/20/018     Document Type: Article

References (18)

1. Bortfeld T R, Craft D, Dempsey J F, Halabi T and Romeijn H E 2008 Evaluating target cold spots by the use of tail euds Int. J. Radiat. Oncol. Biol. Phys. 71 880-9
2. Chankong V and Haimes Y Y 1983 Multiobjective Decision Making. Theory and Methodology (Amsterdam: North-Holland)
3. Cotrutz C, Lahanas M, Kappas C and Baltas D 2001 A multiobjective gradient-based dose optimization algorithm for external beam conformal radiotherapy Phys. Med. Biol. 46 2161-75
4. Craft D, Halabi T F, Shih H A and Bortfeld T R 2006 Approximating convex Pareto surfaces in multiobjective radiotherapy planning Med. Phys. 33 3399-407
5. Klamroth K, Tind J and Wiecek M M 2002 Unbiased approximation in multicriteria optimization Math. Methods Oper. Res. 56 413-37
6. Küfer K H, Hamacher H W and Bortfeld T R 2000 A multicriteria optimization approach for inverse radiotherapy planning Proc. XIIIth ICCR (Heidelberg) ed T R Bortfeld and W Schlegel pp 26-9
7. Küfer K H, Scherrer A, Monz M, Alonso F V, Trinkaus H, Bortfeld T R and Thieke C 2003 Intensity-modulated radiotherapy-a large scale multi-criteria programming problem OR Spectrum 25 223-49
8. Lahanas M, Schreibmann E and Baltas D 2003 Multiobjective inverse planning for intensity modulated radiotherapy with constraint-free gradient-based optimization algorithms. Phys. Med. Biol. 48 2843-71
9. Miettinen K 1999 Nonlinear Multiobjective Optimization (Boston: Kluwer)
10. Monz M, Küfer K H, Bortfeld T R and Thieke C 2008 Pareto navigationalgorithmic foundation of interactive multi-criteria IMRT planning Phys. Med. Biol. 53 985-98
11. Monz M 2006 Pareto navigation-interactive multiobjective optimisation and its application in radiotherapy planning PhD Thesis Department of Mathematics, Technical University of Kaiserslautern, Germany
12. Niemierko A 1999 A generalized concept of equivalent uniform dose Med. Phys. 26 1100
13. Rockafellar R T 1970 Convex Analysis (Princeton, NJ: Princeton University Press)
14. Romeijn E H, Dempsey J F and Li J G 2004 A unifying framework for multi-criteria fluence map optimization models Phys. Med. Biol. 49 1991-2013
15. Shepard D M, Earl M A, Li X A, Naqvi S and Yu C 2002 Direct aperture optimization: a turnkey solution for step-and-shoot IMRT Med. Phys. 29 1007-18
16. Solanki R S, Appino P A and Cohon J L 1993 Approximating the noninferior set in multiobjective linear programming problems Eur. J. Oper. Res. 68 356-73
17. Süss P, Küfer K H and Thieke C 2007 Improved stratification algorithms for step-and-shoot MLC delivery in intensity-modulated radiation therapy Phys. Med. Biol. 52 6039-51
18. Thieke C, Küfer K H, Monz M, Scherrer A, Alonso F V, lfke U, Huber P, Debus J and Bortfeld T R 2007 A new concept for interactive radiotherapy planning with multicriteria optimization: first clinical evaluation Radiother. Oncol. 85 292-8