Multicriteria optimization for volumetric-modulated arc therapy by decomposition into a fluence-based relaxation and a segment weight-based restriction

Medical Physics

Volumn 39, Issue 11, 2012, Pages 6712-6725

  Bokrantz, Rasmus ^a,b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b RaySearch Laboratories   (Sweden)

Author keywords

direct aperture optimization; direct machine parameter optimization; multicriteria optimization; Pareto optimality; total variation regularization; treatment planning; volumetric modulated arc therapy

Indexed keywords

BENCHMARKING; DECOMPOSITION; DRUG PRODUCTS; MULTIOBJECTIVE OPTIMIZATION; PARETO PRINCIPLE;

DIRECT APERTURE OPTIMIZATIONS; MACHINE PARAMETERS; MULTICRITERIA OPTIMIZATION; PARETO-OPTIMALITY; TOTAL VARIATION REGULARIZATION; TREATMENT PLANNING; VOLUMETRIC MODULATED ARC THERAPY;

INVERSE PROBLEMS;

EID: 84868561824     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.4754652     Document Type: Article

References (47)

1. C. Yu and G. Tang, Intensity-modulated arc therapy: Principles, technologies and clinical implementation., Phys. Med. Biol. 56 (5), R31-R54 (2011). 10.1088/0031-9155/56/5/R01
2. C. Ling, P. Zhang, Y. Archambault, J. Bocanek, G. Tang, and T. Losasso, Commissioning and quality assurance of RapidArc radiotherapy delivery system., Int. J. Radiat. Oncol., Biol., Phys. 72 (2), 575-581 (2008). 10.1016/j.ijrobp.2008.05.060
3. J. Bedford and A. Warrington, Commissioning of volumetric modulated arc therapy (VMAT)., Int. J. Radiat. Oncol., Biol., Phys. 73 (2), 537-545 (2009). 10.1016/j.ijrobp.2008.08.055
4. B. Salter, V. Sarkar, B. Wang, H. Shukla, M. Szegedi, and P. Rassiah-Szegedi, Rotational IMRT delivery using a digital linear accelerator in very high dose rate burst mode', Phys. Med. Biol. 56 (7), 1931-1946 (2011). 10.1088/0031-9155/56/7/002
5. M. Teoh, C. Clark, K. Wood, S. Whitaker, and A. Nisbet, Volumetric modulated arc therapy: A review of current literature and clinical use in practice., Br. J. Radiol. 84 (1007), 967-996 (2011). 10.1259/bjr/22373346
6. M. Oliver, W. Ansbacher, and W. Beckham, Comparing planning time, delivery time and plan quality for IMRT, RapidArc and Tomotherapy., J. Appl. Clin. Med. Phys. 10 (4), 117-131 (2009). 10.1120/jacmp.v10i4.3068
7. M. Rao, W. Yang, F. Chen, K. Sheng, J. Ye, V. Mehta, D. Shepard, and D. Cao, Comparison of Elekta VMAT with helical tomotherapy and fixed field IMRT: Plan quality, delivery efficiency and accuracy., Med. Phys. 37 (3), 1350-1359 (2010). 10.1118/1.3326965
8. C. Cotrutz, M. Lahanas, C. Kappas, and D. Baltas, A multiobjective gradient-based dose optimization algorithm for external beam conformal radiotherapy., Phys. Med. Biol. 46 (8), 2161-2175 (2001). 10.1088/0031-9155/46/ 8/309
9. M. Lahanas, E. Schreibmann, and D. Baltas, Multiobjective inverse planning for intensity modulated radiotherapy with constraint-free gradient-based optimization algorithms., Phys. Med. Biol. 48 (17), 2843-2871 (2003). 10.1088/0031-9155/48/17/308
10. 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
11. D. Craft, T. Halabi, and T. Bortfeld, Exploration of tradeoffs in intensity-modulated radiotherapy., Phys. Med. Biol. 50 (24), 5857-5868 (2005). 10.1088/0031-9155/50/24/007
12. A. Hoffmann, A. Siem, D. den Hertog, J. Kaanders, and H. Huizenga, Derivative-free generation and interpolation of convex Pareto optimal IMRT plans., Phys. Med. Biol. 51 (24), 6349-6369 (2006). 10.1088/0031-9155/51/24/005
13. D. Craft, T. Halabi, H. Shih, and T. Bortfeld, An approach for practical multiobjective IMRT treatment planning., Int. J. Radiat. Oncol., Biol., Phys. 69 (5), 1600-1607 (2007). 10.1016/j.ijrobp.2007.08.019
14. M. Monz, K.-H. Kufer, T. R. Bortfeld, and C. Thieke, Pareto navigation-Algorithmic foundation of interactive multi-criteria IMRT planning., Phys. Med. Biol. 53 (4), 985-998 (2008). 10.1088/0031-9155/53/4/011
15. D. Craft, T. Hong, H. Shih, and T. Bortfeld, Improved planning time and plan quality through multi-criteria optimization for intensity modulated radiation therapy., Int. J. Radiat. Oncol., Biol., Phys. 82 (1), e83-e90 (2012). 10.1016/j.ijrobp.2010.12.007
16. J. Wala, D. Craft, J. Paly, and J. Efstathiou, Multi-criteria optimization of IMRT plans in prostate cancer., Poster at the American Society for Radiation Oncology 53rd Annual Meeting, Miami Beach, Florida, October 2011.
17. J. Pardo-Montero and J. Fenwick, An approach to multiobjective optimization of rotational therapy., Med. Phys. 36 (7), 3292-3303 (2009). 10.1118/1.3151806
18. J. Pardo-Montero and J. Fenwick, An approach to multiobjective optimization of rotational therapy. II. Pareto optimal surfaces and linear combinations of modulated blocked arcs for a prostate geometry., Med. Phys. 37 (6), 2606-2616 (2010). 10.1118/1.3427410
19. D. Craft, D. McQuaid, J. Wala, W. Chen, E. Salari, and T. Bortfeld, Multicriteria VMAT optimization., Med. Phys. 39 (2), 686-696 (2012). 10.1118/1.3675601
20. D. Craft, F. Carlsson, T. Bortfeld, and H. Rehbinder, Multi-objective IMRT planning which produces deliverable plans., Med. Phys. 35 (6), 2846-2846 (2008). 10.1118/1.2962276
21. M. Broderick, M. Leech, and M. Coffey, Direct aperture optimization as a means of reducing the complexity of intensity modulated radiation therapy plans., Radiat. Oncol. (2009) 4: 8. 10.1186/1748-717X-4-8
22. M. Rao, D. Cao, F. Chen, J. Ye, V. Mehta, T. Wong, and D. Shepard, Comparison of anatomy-based, fluence-based and aperture-based treatment planning approaches for VMAT., Phys. Med. Biol. 55 (21), 6475-6490 (2010). 10.1088/0031-9155/55/21/009
23. K. Bzdusek, H. Friberger, K. Eriksson, B. Hårdemark, D. Robinson, and M. Kaus, Development and evaluation of an efficient approach to volumetric arc therapy planning., Med. Phys. 36 (6), 2328-2339 (2009). 10.1118/1.3132234
24. M. Fippel, F. Haryanto, O. Dohm, F. Nüsslin, and S. Kriesen, A virtual photon energy fluence model for Monte Carlo dose calculation., Med. Phys. 30 (3), 301-311 (2003). 10.1118/1.1543152
25. K. Miettinen, Nonlinear Multiobjective Optimization (Kluwer Academic, Boston, MA, 1999).
26. E. Romeijn, J. Dempsey, and J. Li, A unifying framework for multi-criteria fluence map optimization models., Phys. Med. Biol. 49 (10), 1991-2013 (2004). 10.1088/0031-9155/49/10/011
27. C. Yu, Intensity-modulated arc therapy with dynamic multileaf collimation: An alternative to tomotherapy., Phys. Med. Biol. 40 (9), 1435-1449 (1995). 10.1088/0031-9155/40/9/004
28. L. Zhu, L. Lee, Y. Ma, Y. Ye, R. Mazzeo, and L. Xing, Using total-variation regularization for intensity modulated radiation therapy inverse planning with field-specific numbers of segments., Phys. Med. Biol. 53 (23), 6653-6672 (2008). 10.1088/0031-9155/53/23/002
29. G. Tang, M. Earl, S. Luan, S. Naqvi, and C. Yu, Converting multiple-Arc intensity modulated arc therapy into a single arc for efficient delivery., Int. J. Radiat. Oncol., Biol., Phys. 69 (3), S673 (2007). 10.1016/j.ijrobp.2007.07. 2031
30. L. Zhu and L. Xing, Search for IMRT inverse plans with piecewise constant fluence maps using compressed sensing techniques., Med. Phys. 36 (5), 1895-1905 (2009). 10.1118/1.3110163
31. T. Kim, L. Zhu, T.-S. Suh, S. Geneser, B. Meng, and L. Xing, Inverse planning for IMRT with nonuniform beam profiles using total-variation regularization (TVR)., Med. Phys. 38 (1), 57-66 (2011). 10.1118/1.3521465
32. L. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms., Physica D 60, 259-268 (1992). 10.1016/0167-2789(92)90242-F
33. D. Strong and T. Chan, Edge-preserving and scale-dependent properties of total variation regularization., Inverse Probl. 19 (6), S165-S187 (2003). 10.1088/0266-5611/19/6/059
34. T. Bortfeld, W. Schlegel, and B. Rhein, Decomposition of pencil beam kernels for fast dose calculations in three-dimensional treatment planning., Med. Phys. 20 (2), 311-318 (1993). 10.1118/1.597070
35. A. Ahnesjö, Collapsed cone convolution of radiant energy for photon dose calculation in heterogeneous media., Med. Phys. 16 (4), 577-592 (1989). 10.1118/1.596360
36. P. Gill, W. Murray, and M. Saunders, SNOPT: An SQP algorithm for large-scale constrained optimization., SIAM Rev. 47 (1), 99-131 (2005). 10.1137/S0036144504446096
37. R. Bokrantz and A. Forsgren, An algorithm for approximating convex Pareto surfaces based on dual techniques., INFORMS J. Comput. ijoc.1120.0508, published online before print June 6, 2012. 10.1287/ijoc.1120.0508
38. J. Deasy, Multiple local minima in radiotherapy optimization problems with dose-volume constraints., Med. Phys. 24 (7), 1157-1161 (1997). 10.1118/1.598017
39. J. Llacer, J. Deasy, T. Bortfeld, T. Solberg, and C. Promberger, Absence of multiple local minima effects in intensity modulated optimization with dose volume constraints., Phys. Med. Biol. 48 (2), 183-210 (2003). 10.1088/0031-9155/48/2/304
40. Q. Wu and R. Mohan, Multiple local minima in IMRT optimization based on dose-volume criteria., Med. Phys. 29 (7), 1514-1527 (2002). 10.1118/1.1485059
41. International Commission on Radiation Units and Measurements, Prescribing, recording, and reporting photon-beam intensity-modulated radiation therapy (IMRT)., Report No. 83 (ICRU Publication, Oxford University Press, Oxford, UK, 2010), Vol. 11, Issue (1).
42. International Commission on Radiation Units and Measurements, Prescribing, recording and reporting photon beam therapy (supplement to ICRU Report 50)., ICRU Report 62 (ICRU Publication, Bethesda, MD, 1999).
43. H. Chung, B. Lee, E. Park, J. Lu, and P. Xia, Can all centers plan intensity-modulated radiotherapy (IMRT) effectively? An external audit of dosimetric comparisons between three-dimensional conformal radiotherapy and IMRT for adjuvant chemoradiation for gastric cancer., Int. J. Radiat. Oncol., Biol., Phys. 71 (4), 1167-1174 (2008). 10.1016/j.ijrobp.2007.11.040
44. J. Bohsung, S. Gillis, R. Arrans, A. Bakai, C. de Wagter, Tommy Knöös, B. Mijnheer, M. Paiusco, B. Perrin, H. Welleweerd, and P. Williams, IMRT treatment planning-A comparative inter-system and inter-centre planning exercise of the ESTRO QUASIMODO group., Radiother. Oncol. 76 (3), 354-361 (2005). 10.1016/j.radonc.2005.08.003
45. B. Wu, F. Ricchetti, G. Sanguineti, M. Kazhdan, P. Simari, R. Jacques, R. Taylor, and T. McNutt, Data-driven approach to generating achievable dose-volume histogram objectives in intensity-modulated radiotherapy planning., Int. J. Radiat. Oncol. 79 (4), 1241-1247 (2011). 10.1016/j.ijrobp.2010.05.026
46. P. Hansen, Analysis of discrete ill-posed problems by means of the L-curve., SIAM Rev. 34 (4), 561-580 (1992). 10.1137/1034115
47. A. Chvetsov, L-curve analysis of radiotherapy optimization problems., Med. Phys. 32 (8), 2598-2605 (2005). 10.1118/1.1949750