메뉴 건너뛰기




Volumn 37, Issue 9, 2010, Pages 4938-4945

A fast optimization algorithm for multicriteria intensity modulated proton therapy planning

Author keywords

multi criteria; numerical evaluation; optimization; projection method

Indexed keywords

CONVEX OPTIMIZATION; MULTIOBJECTIVE OPTIMIZATION; NUMERICAL METHODS; OPTIMIZATION; PROTON BEAMS;

EID: 77956320062     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.3481566     Document Type: Article
Times cited : (52)

References (30)
  • 1
    • 0032859241 scopus 로고    scopus 로고
    • Optimization of importance factors in inverse planning
    • PHMBA7 0031-9155,. 10.1088/0031-9155/44/10/311
    • L. Xing, J. Li, S. Donaldson, Q. Le, and A. Boyer, " Optimization of importance factors in inverse planning.," Phys. Med. Biol. PHMBA7 0031-9155 44, 2525-2536 (1999). 10.1088/0031-9155/44/10/311
    • (1999) Phys. Med. Biol. , vol.44 , pp. 2525-2536
    • Xing, L.1    Li, J.2    Donaldson, S.3    Le, Q.4    Boyer, A.5
  • 2
    • 33748318376 scopus 로고    scopus 로고
    • Beyond weight factors: New concepts for defining and analysing dose optimisation
    • RAONDT 0167-8140,. 10.1016/S0167-8140(04)82030-9
    • C. Thieke, K. -H. Küfer, M. Monz, A. Scherrer, F. Alonso, S. Nill, C. Thilmann, and T. Bortfeld, " Beyond weight factors: New concepts for defining and analysing dose optimisation.," Radiother. Oncol. RAONDT 0167-8140 73, S75-S75 (2004). 10.1016/S0167-8140(04)82030-9
    • (2004) Radiother. Oncol. , vol.73
    • Thieke, C.1    Küfer, K.-H.2    Monz, M.3    Scherrer, A.4    Alonso, F.5    Nill, S.6    Thilmann, C.7    Bortfeld, T.8
  • 3
    • 33748287034 scopus 로고    scopus 로고
    • Approximating convex Pareto surfaces in multi-objective radiotherapy planning
    • MPHYA6 0094-2405,. 10.1118/1.2335486
    • D. Craft, T. Halabi, H. Shih, and T. Bortfeld, " Approximating convex Pareto surfaces in multi-objective radiotherapy planning.," Med. Phys. MPHYA6 0094-2405 33, 3399-3407 (2006). 10.1118/1.2335486
    • (2006) Med. Phys. , vol.33 , pp. 3399-3407
    • Craft, D.1    Halabi, T.2    Shih, H.3    Bortfeld, T.4
  • 4
    • 0041969992 scopus 로고    scopus 로고
    • The normalized normal constraint method for generating the Pareto frontier
    • ZZZZZZ 1615-147X,. 10.1007/s00158-002-0276-1
    • A. Messac, A. Ismail-Yahaya, and C. A. Mattson, " The normalized normal constraint method for generating the Pareto frontier.," Struct. Multidiscip. Optim. ZZZZZZ 1615-147X 25, 86-98 (2003). 10.1007/s00158-002-0276-1
    • (2003) Struct. Multidiscip. Optim. , vol.25 , pp. 86-98
    • Messac, A.1    Ismail-Yahaya, A.2    Mattson, C.A.3
  • 5
    • 39049124974 scopus 로고    scopus 로고
    • Pareto navigation-Algorithmic foundation of interactive multi-criteria IMRT planning
    • PHMBA7 0031-9155,. 10.1088/0031-9155/53/4/011
    • M. Monz, K. -H. Küfer, T. Bortfeld, and C. Thieke, " Pareto navigation-Algorithmic foundation of interactive multi-criteria IMRT planning.," Phys. Med. Biol. PHMBA7 0031-9155 53, 985-998 (2008). 10.1088/0031-9155/53/4/011
    • (2008) Phys. Med. Biol. , vol.53 , pp. 985-998
    • Monz, M.1    Küfer, K.-H.2    Bortfeld, T.3    Thieke, C.4
  • 6
    • 77956337541 scopus 로고    scopus 로고
    • Multi-objective IMRT planning which produces deliverable plans
    • MPHYA6 0094-2405,. 10.1118/1.2962276
    • D. Craft, F. Carlsson, T. Bortfeld, and H. Rehbinder, " Multi-objective IMRT planning which produces deliverable plans.," Med. Phys. MPHYA6 0094-2405 35, 2846-2846 (2008). 10.1118/1.2962276
    • (2008) Med. Phys. , vol.35 , pp. 2846-2846
    • Craft, D.1    Carlsson, F.2    Bortfeld, T.3    Rehbinder, H.4
  • 7
    • 0030246542 scopus 로고    scopus 로고
    • On projection algorithms for solving convex feasibility problems
    • SIREAD 0036-1445,. 10.1137/S0036144593251710
    • H. H. Bauschke and J. M. Borwein, " On projection algorithms for solving convex feasibility problems.," SIAM Rev. SIREAD 0036-1445 38, 367-426 (1996). 10.1137/S0036144593251710
    • (1996) SIAM Rev. , vol.38 , pp. 367-426
    • Bauschke, H.H.1    Borwein, J.M.2
  • 8
    • 0016472823 scopus 로고
    • A relaxation method for reconstructing objects from noisy x-rays
    • MHPGA4 0025-5610,. 10.1007/BF01580425
    • G. T. Herman, " A relaxation method for reconstructing objects from noisy x-rays.," Math. Program. MHPGA4 0025-5610 8, 1-19 (1975). 10.1007/BF01580425
    • (1975) Math. Program. , vol.8 , pp. 1-19
    • Herman, G.T.1
  • 10
    • 0017988550 scopus 로고
    • A family of iterative quadratic optimization algorithms for pairs of inequalities, with application in diagnostic radiology
    • G. T. Herman and A. Lent, " A family of iterative quadratic optimization algorithms for pairs of inequalities, with application in diagnostic radiology.," Mathematical Programming Studies 9, 15-29 (1978).
    • (1978) Mathematical Programming Studies , vol.9 , pp. 15-29
    • Herman, G.T.1    Lent, A.2
  • 11
    • 0000488266 scopus 로고
    • On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning
    • INPEEY 0266-5611,. 10.1088/0266-5611/4/3/006
    • Y. Censor, M. D. Altschuler, and W. D. Powlis, " On the use of Cimmino's simultaneous projections method for computing a solution of the inverse problem in radiation therapy treatment planning.," Inverse Probl. INPEEY 0266-5611 4, 607-623 (1988). 10.1088/0266-5611/4/3/006
    • (1988) Inverse Probl. , vol.4 , pp. 607-623
    • Censor, Y.1    Altschuler, M.D.2    Powlis, W.D.3
  • 13
    • 0031967470 scopus 로고    scopus 로고
    • Optimization of intensity modulated beams with volume constraints using two methods: Cost function minimization and projection onto convex sets
    • MPHYA6 0094-2405,. 10.1118/1.598218
    • P. S. Cho, S. Lee, R. J. Marks, S. Oh, S. G. Sutlief, and M. H. Phillips, " Optimization of intensity modulated beams with volume constraints using two methods: Cost function minimization and projection onto convex sets.," Med. Phys. MPHYA6 0094-2405 25, 435-443 (1998). 10.1118/1.598218
    • (1998) Med. Phys. , vol.25 , pp. 435-443
    • Cho, P.S.1    Lee, S.2    Marks, R.J.3    Oh, S.4    Sutlief, S.G.5    Phillips, M.H.6
  • 14
    • 38149118220 scopus 로고    scopus 로고
    • A fast algorithm for solving a linear feasibility problem with application to intensity-modulated radiation therapy
    • LAAPAW 0024-3795,. 10.1016/j.laa.2006.11.009
    • G. T. Herman and W. Chen, " A fast algorithm for solving a linear feasibility problem with application to intensity-modulated radiation therapy.," Linear Algebr. Appl. LAAPAW 0024-3795 428, 1207-1217 (2008). 10.1016/j.laa.2006.11.009
    • (2008) Linear Algebr. Appl. , vol.428 , pp. 1207-1217
    • Herman, G.T.1    Chen, W.2
  • 15
    • 0031732963 scopus 로고    scopus 로고
    • Fast iterative algorithms for three-dimensional inverse treatment planning
    • MPHYA6 0094-2405,. 10.1118/1.598374
    • L. Xing, R. J. Hamilton, D. Spelbring, C. A. Pelizzari, G. T. Y. Chen, and A. L. Boyer, " Fast iterative algorithms for three-dimensional inverse treatment planning.," Med. Phys. MPHYA6 0094-2405 25, 1845-1849 (1998). 10.1118/1.598374
    • (1998) Med. Phys. , vol.25 , pp. 1845-1849
    • Xing, L.1    Hamilton, R.J.2    Spelbring, D.3    Pelizzari, C.A.4    Chen, G.T.Y.5    Boyer, A.L.6
  • 16
    • 77951898452 scopus 로고    scopus 로고
    • Efficient controls for finitely convergent sequential algorithms
    • ACMSCU 0098-3500, Article No. 14
    • W. Chen and G. T. Herman, " Efficient controls for finitely convergent sequential algorithms.," ACM Trans. Math. Softw. ACMSCU 0098-3500 37, Article No. 14 (2010).
    • (2010) ACM Trans. Math. Softw. , vol.37
    • Chen, W.1    Herman, G.T.2
  • 17
    • 29144455357 scopus 로고    scopus 로고
    • Exploration of tradeoffs in intensity-modulated radiotherapy
    • PHMBA7 0031-9155,. 10.1088/0031-9155/50/24/007
    • D. Craft, T. Halabi, and T. Bortfeld, " Exploration of tradeoffs in intensity-modulated radiotherapy.," Phys. Med. Biol. PHMBA7 0031-9155 50, 5857-5868 (2005). 10.1088/0031-9155/50/24/007
    • (2005) Phys. Med. Biol. , vol.50 , pp. 5857-5868
    • Craft, D.1    Halabi, T.2    Bortfeld, T.3
  • 18
    • 2942577642 scopus 로고    scopus 로고
    • A unifying framework for multi-criteria fluence map optimization models
    • PHMBA7 0031-9155,. 10.1088/0031-9155/49/10/011
    • H. E. Romeijn, J. Dempsey, and J. Li, " A unifying framework for multi-criteria fluence map optimization models.," Phys. Med. Biol. PHMBA7 0031-9155 49, 1991-2013 (2004). 10.1088/0031-9155/49/10/011
    • (2004) Phys. Med. Biol. , vol.49 , pp. 1991-2013
    • Romeijn, H.E.1    Dempsey, J.2    Li, J.3
  • 19
    • 0031037018 scopus 로고    scopus 로고
    • Reporting and analysing dose distributions: A concept of equivalent uniform dose
    • MPHYA6 0094-2405,. 10.1118/1.598063
    • A. Niemierko, " Reporting and analysing dose distributions: A concept of equivalent uniform dose.," Med. Phys. MPHYA6 0094-2405 24, 103-110 (1997). 10.1118/1.598063
    • (1997) Med. Phys. , vol.24 , pp. 103-110
    • Niemierko, A.1
  • 20
    • 0001614864 scopus 로고    scopus 로고
    • in, edited by H. Frenk, K. Roos, T. Terlaky, and S. Zhang (Kluwer Academic, Dordrecht, The Netherlands)
    • E. D. Andersen and K. D. Andersen, in High Performance Optimization, edited by, H. Frenk, K. Roos, T. Terlaky, and, S. Zhang, (Kluwer Academic, Dordrecht, The Netherlands, 2000), pp. 197-232.
    • (2000) High Performance Optimization , pp. 197-232
    • Andersen, E.D.1    Andersen, K.D.2
  • 21
    • 36048950335 scopus 로고    scopus 로고
    • A novel approach to multi-criteria inverse planning for IMRT
    • PHMBA7 0031-9155,. 10.1088/0031-9155/52/20/016
    • S. Breedveld, P. R. M. Storchi, M. Keijzer, A. W. Heemink, and B. J. M. Heijmen, " A novel approach to multi-criteria inverse planning for IMRT.," Phys. Med. Biol. PHMBA7 0031-9155 52, 6339-6353 (2007). 10.1088/0031-9155/52/20/016
    • (2007) Phys. Med. Biol. , vol.52 , pp. 6339-6353
    • Breedveld, S.1    Storchi, P.R.M.2    Keijzer, M.3    Heemink, A.W.4    Heijmen, B.J.M.5
  • 22
    • 1442354147 scopus 로고    scopus 로고
    • Intensity modulated radiotherapy-A large scale multi-criteria programming problem
    • 10.1007/s00291-003-0125-7 0171-6468
    • K. -H. Küfer, A. Scherrer, M. Monz, F. Alonso, H. Trinkaus, T. Bortfeld, and C. Thieke, " Intensity modulated radiotherapy-A large scale multi-criteria programming problem.," OR Spectrum 25, 223-249 (2003). 10.1007/s00291-003-0125-7 0171-6468
    • (2003) OR Spectrum , vol.25 , pp. 223-249
    • Küfer, K.-H.1    Scherrer, A.2    Monz, M.3    Alonso, F.4    Trinkaus, H.5    Bortfeld, T.6    Thieke, C.7
  • 23
    • 2442535151 scopus 로고    scopus 로고
    • Survey of multi-objective optimization methods for engineering
    • ZZZZZZ 1615-147X,. 10.1007/s00158-003-0368-6
    • R. T. Marler and J. S. Arora, " Survey of multi-objective optimization methods for engineering.," Struct. Multidiscip. Optim. ZZZZZZ 1615-147X 26, 369-395 (2004). 10.1007/s00158-003-0368-6
    • (2004) Struct. Multidiscip. Optim. , vol.26 , pp. 369-395
    • Marler, R.T.1    Arora, J.S.2
  • 24
    • 36148989903 scopus 로고    scopus 로고
    • An approach for practical multiobjective IMRT treatment planning
    • IOBPD3 0360-3016,. 10.1016/j.ijrob2007.08.019
    • D. Craft, T. Halabi, H. Shih, and T. Bortfeld, " An approach for practical multiobjective IMRT treatment planning.," Int. J. Radiat. Oncol., Biol., Phys. IOBPD3 0360-3016 69, 1600-1607 (2007). 10.1016/j.ijrobp.2007.08. 019
    • (2007) Int. J. Radiat. Oncol., Biol., Phys. , vol.69 , pp. 1600-1607
    • Craft, D.1    Halabi, T.2    Shih, H.3    Bortfeld, T.4
  • 25
    • 77953129392 scopus 로고    scopus 로고
    • GPU computing with Kaczmarz's and other iterative algorithms for linear systems
    • ZZZZZZ 0167-8191,. 10.1016/j.parco.2009.12.003
    • J. M. Elble, N. V. Sahinidis, and P. Vouzis, " GPU computing with Kaczmarz's and other iterative algorithms for linear systems.," Parallel Comput. ZZZZZZ 0167-8191 36, 215-231 (2010). 10.1016/j.parco.2009.12.003
    • (2010) Parallel Comput. , vol.36 , pp. 215-231
    • Elble, J.M.1    Sahinidis, N.V.2    Vouzis, P.3
  • 26
    • 33847289808 scopus 로고    scopus 로고
    • Incidence of late rectal bleeding in high-dose conformal radiotherapy of prostate cancer using equivalent uniform dose-based and dose-volume-based normal tissue complication probability models
    • IOBPD3 0360-3016,. 10.1016/j.ijrob2006.10.014
    • M. Söhn, D. Yan, J. Liang, E. Meldolesi, C. Vargas, and M. Alber, " Incidence of late rectal bleeding in high-dose conformal radiotherapy of prostate cancer using equivalent uniform dose-based and dose-volume-based normal tissue complication probability models.," Int. J. Radiat. Oncol., Biol., Phys. IOBPD3 0360-3016 67, 1066-1073 (2007). 10.1016/j.ijrobp.2006.10.014
    • (2007) Int. J. Radiat. Oncol., Biol., Phys. , vol.67 , pp. 1066-1073
    • Söhn, M.1    Yan, D.2    Liang, J.3    Meldolesi, E.4    Vargas, C.5    Alber, M.6
  • 27
    • 0004895718 scopus 로고
    • A finitely convergent row-action method for the convex feasibility problem
    • AMOMBN 0095-4616,. 10.1007/BF01448368
    • A. R. De Pierro and A. N. Iusem, " A finitely convergent row-action method for the convex feasibility problem.," Appl. Math. Optim. AMOMBN 0095-4616 17, 225-235 (1988). 10.1007/BF01448368
    • (1988) Appl. Math. Optim. , vol.17 , pp. 225-235
    • De Pierro, A.R.1    Iusem, A.N.2
  • 28
    • 0242606143 scopus 로고    scopus 로고
    • A novel linear programming approach to fluence map optimization for intensity modulated radiation therapy treatment planning
    • PHMBA7 0031-9155,. 10.1088/0031-9155/48/21/005
    • H. E. Romeijn, R. K. Ahuja, J. F. Dempsey, A. Kumar, and J. G. Li, " A novel linear programming approach to fluence map optimization for intensity modulated radiation therapy treatment planning.," Phys. Med. Biol. PHMBA7 0031-9155 48, 3521-3542 (2003). 10.1088/0031-9155/48/21/005
    • (2003) Phys. Med. Biol. , vol.48 , pp. 3521-3542
    • Romeijn, H.E.1    Ahuja, R.K.2    Dempsey, J.F.3    Kumar, A.4    Li, J.G.5
  • 29
    • 33747142325 scopus 로고    scopus 로고
    • Relaxations of linear programming problems with first order stochastic dominance constraints
    • ORLED5 0167-6377,. 10.1016/j.orl.2005.10.004
    • N. Noyan, G. Rudolf, and A. Ruszczynski, " Relaxations of linear programming problems with first order stochastic dominance constraints.," Oper. Res. Lett. ORLED5 0167-6377 34, 653-659 (2006). 10.1016/j.orl.2005.10.004
    • (2006) Oper. Res. Lett. , vol.34 , pp. 653-659
    • Noyan, N.1    Rudolf, G.2    Ruszczynski, A.3
  • 30
    • 34248204231 scopus 로고    scopus 로고
    • Accounting for range uncertainties in the optimization of intensity modulated proton therapy
    • PHMBA7 0031-9155,. 10.1088/0031-9155/52/10/009
    • J. Unkelbach, T. C. Y. Chan, and T. Bortfeld, " Accounting for range uncertainties in the optimization of intensity modulated proton therapy.," Phys. Med. Biol. PHMBA7 0031-9155 52, 2755-2773 (2007). 10.1088/0031-9155/52/ 10/009
    • (2007) Phys. Med. Biol. , vol.52 , pp. 2755-2773
    • Unkelbach, J.1    Chan, T.C.Y.2    Bortfeld, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.