A hybrid approach to beam angle optimization in intensity-modulated radiation therapy

Computers and Operations Research

Volumn 40, Issue 9, 2013, Pages 2187-2197

  Bertsimas, D ^a   Cacchiani, V ^b   Craft, D ^c   Nohadani, O ^d  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c MASSACHUSETTS GENERAL HOSPITAL   (United States)

^d SCHOOL OF INDUSTRIAL ENGINEERING   (United States)

Author keywords

Beam angle optimization; Computational experiments; Gradient descent; Heuristic algorithm; Intensity modulated radiation therapy; Linear programming; Simulated annealing

Indexed keywords

BEAM ANGLE OPTIMIZATION; COMPUTATIONAL EXPERIMENT; GRADIENT DESCENT; GRADIENT INFORMATIONS; INTENSITY MODULATED RADIATION THERAPY; INTENSITY OF THE BEAM; LINEAR PROGRAMMING MODELS; NON-UNIFORM RADIATIONS;

HEURISTIC ALGORITHMS; HEURISTIC METHODS; PHYSICAL THERAPY; SIMULATED ANNEALING;

LINEAR PROGRAMMING;

EID: 84874899690     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2012.06.009     Document Type: Article

References (32)

1. A. Ahnesjö, M. Saxner, and A. Trepp A pencil beam model for photon dose calculation Medical Physics 19 2 1992 263 273
2. D.M. Aleman, A. Kumar, R.K. Ahuja, H.E. Romeijn, and J.F. Dempsey Neighborhood search approaches to beam orientation optimization in intensity modulated radiation therapy treatment planning Journal of Global Optimization 42 4 2008 587 607
3. D. Bertsimas, O. Nohadani, and K.M. Teo Robust optimization with simulated annealing Journal of Global Optimization 48 2010 2,323
4. D. Bertsimas, O. Nohadani, and K.M. Teo Nonconvex robust optimization for problems with constraints INFORMS Journal on Computing 22 2010 44 58
5. T. Bortfeld, and W. Schlegel Optimization of beam orientations in radiation therapy: some theoretical considerations Physics in Medicine and Biology 38 1993 291 304
6. D. Craft Local beam angle optimization with linear programming and gradient search Physics in Medicine and Biology 52 2007 127 135
7. W.D. D'Souza, R.R. Meyer, and L. Shi Selection of beam orientations in intensity-modulated radiation therapy using single-beam indices and integer programming Physics in Medicine and Biology 49 2004 3465 3481
8. S. Das, T. Cullip, G. Tracton, S. Chang, L. Marics, M. Anscher, and J. Rosenman Beam orientation selection for intensity-modulated radiation therapy based on target equivalent uniform dose maximization International Journal of Radiation Oncology, Biology, Physics 55 2003 215 224
9. J.O. Deasy, A.I. Blanco, and V.H. Clark CERR: A computational environment for radiotherapy research Medical Physics 30 5 2003 979 985
10. D. Djajaputra, Q. Wu, Y. Wu, and R. Mohan Algorithm and performance of a clinical IMRT beam-angle optimization system Physics in Medicine and Biology 48 2003 3191 3212
11. M. Ehrgott, Ç. Güler, H.W. Hamacher, and L. Shao Mathematical optimization in intensity modulated radiation therapy 4OR A Quarterly Journal of Operations Research 6 3 2008 199 262
12. M. Ehrgott, A. Holder, and J. Reese Beam selection in radiotherapy design Linear Algebra and its Applications 428 2008 1272 1312
13. O.C.L. Haas, K.J. Burnham, and J.A. Mills Optimization of beam orientation in radiotherapy using planar geometry Physics in Medicine and Biology 43 1998 2179 2193
14. A. Holder Partitioning multiple objective optimal solutions with applications in radiotherapy design Optimization and Engineering 7 4 2006 501 526
15. Q. Hou, J. Wang, Y. Chen, and J. Galvin Beam orientation optimization for IMRT by a hybrid method of the genetic algorithm and the simulated dynamics Medical Physics 30 2003 2360 2367
16. T.S. Hong, D.L. Craft, F. Carlsson, and T. Bortfeld Multicriteria optimization in intensity-modulated radiation therapy treatment planning for locally advanced cancer of the pancreatic head International Journal of Radiation Oncology, Biology, Physics 72 2008 1208 1214
17. U. Jelen, M. Sohn, and M. Alber A finite size pencil beam for IMRT dose optimization Physics in Medicine and Biology 50 2005 1747 1766
18. E. Lee, T. Fox, and I. Crocker Integer programming applied to intensity-modulated radiation therapy treatment planning Annals of Operations Research 119 2003 165 181
19. Y. Li, J. Yao, and D. Yao Automatic beam angle selection in IMRT planning using genetic algorithm Physics in Medicine and Biology 49 2004 1915 1932
20. G. Lim, J. Choi, and R. Mohan Iterative solution methods for beam angle and fluence map optimization in intensity modulated radiation therapy planning OR Spectrum 30 2008 289 309
21. G. Lim, M. Ferris, S. Wright, D. Shepard, and M. Earl An optimization framework for conformal radiation treatment planning INFORMS Journal on Computing 19 2007 366 380
22. H.H. Liu, M. Jauregui, X. Zhang, X.C. Wang, L. Dong, and R. Mohan Beam angle optimization and reduction for intensity-modulated radiation therapy of non-small-cell lung cancers International Journal of Radiation Oncology, Biology, Physics 65 2 2006 561 572
23. F. Preciado-Walters, R. Rardin, M. Langer, and V. Thai A coupled column generation, mixed integer approach to optimal planning of intensity modulated radiation therapy for cancer Mathematical Programming B 101 2004 319 338
24. A. Pugachev, and L. Xing Computer-assisted selection of coplanar beam orientations in intensity-modulated radiation therapy Physics in Medicine and Biology 46 2001 2467 2476
25. A. Pugachev, and L. Xing Incorporating prior knowledge into beam orientation optimization in IMRT International Journal of Radiation Oncology, Biology, Physics 54 2002 1565 1574
26. E. Schreibmann, and L. Xing Feasibility study of beam orientation class-solutions for prostate IMRT Medical Physics 31 2004 2863 2870
27. E. Schreibmann, and L. Xing Dose-volume based ranking of incident beam direction and its utility in facilitating IMRT beam placement International Journal of Radiation Oncology, Biology, Physics 63 2005 584 593
28. J. Stein, R. Mohan, X.H. Wang, T. Bortfeld, Q. Wu, K. Preiser, C.C. Ling, and W. Schlegel Number and orientation of beams in intensity-modulated radiation treatments Medical Physics 24 1997 149 160
29. R. Vaitheeswaran, V.K.S. Narayanan, J.R. Bhangle, A. Nirhali, N. Kumar, S. Basu, and V. Maiya An algorithm for fast beam angle selection in intensity modulated radiotherapy Medical Physics 37 2010 6443 6452
30. C. Wang, J. Dai, and Y. Hu Optimization of beam orientations and beam weights for conformal radiotherapy using mixed integer programming Physics in Medicine and Biology 48 2003 4065 4076
31. R. Yang, J. Dai, Y. Yang, and Y. Hu Beam orientation optimization for intensity-modulated radiation therapy using mixed integer programming Physics in Medicine and Biology 51 2006 3653 3666
32. H.H. Zhang, L. Shi, R. Meyer, D. Nazareth, and W. D'Souza Solving beam-angle selection and dose optimization simultaneously via high-throughput computing INFORMS Journal on Computing 21 3 2009 427 444