An exact approach to direct aperture optimization in IMRT treatment planning

Physics in Medicine and Biology

Volumn 52, Issue 24, 2007, Pages 7333-7352

  Men, Chunhua ^a   Romeijn, H Edwin ^a,b   Taşkin, Z Caner ^a   Dempsey, James F ^b  

^a J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEURISTIC METHODS; ONCOLOGY; OPTIMIZATION;

EXPLICITLY FORMULATES; FLUENCE MAP OPTIMIZATION (FMO); INTENSITY-MODULATED RADIATION THERAPY (IMRT); MULTILEAF COLLIMATOR (MLC);

RADIOTHERAPY;

ALGORITHM; ARTICLE; COLLIMATOR; HEAD AND NECK CANCER; HUMAN; INTENSITY MODULATED RADIATION THERAPY; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; PROBLEM SOLVING; QUALITY CONTROL; RADIATION BEAM; RADIATION DOSE; SALIVARY GLAND; SUBMANDIBULAR GLAND; TECHNIQUE; TRANSMISSION ELECTRON MICROSCOPY; TREATMENT PLANNING;

ARTIFACTS; CLINICAL PROTOCOLS; COMPUTER SIMULATION; DOSE-RESPONSE RELATIONSHIP, RADIATION; HEAD AND NECK NEOPLASMS; HUMANS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PHANTOMS, IMAGING; RADIOTHERAPY DOSAGE; RADIOTHERAPY PLANNING, COMPUTER-ASSISTED; RADIOTHERAPY, INTENSITY-MODULATED; RELATIVE BIOLOGICAL EFFECTIVENESS; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 36949021346     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/52/24/009     Document Type: Article

References (50)

1. Ahuja R K and Hamacher H W 2005 A network flow algorithm to minimize beam-on time for unconstrained multileaf collimator problems in cancer radiation therapy Networks 45 36-41
2. Aleman D M, Glaser D, Romeijn H E and Dempsey J F 2007 A primal-dual interior point algorithm for fluence map optimization in intensity modulated radiation therapy treatment planning Technical Report (Gainesville, Florida: Department of Industrial and Systems Engineering, University of Florida)
3. Arnfield M R, Siebers J V, Kim J O, Wu Q, Keall P J and Mohan R 2000 A method for determining multileaf collimator transmission and scatter for dynamic intensity modulated radiotherapy Med. Phys. 27 2231-41
4. Baatar D, Hamacher H W, Ehrgott M and Woeginger G J 2005 Decomposition of integer matrices and multileaf collimator sequencing Discrete Appl. Math. 152 6-34
5. Bates J and Constable R 1985 Proofs as programs ACM Trans. Program. Lang. Syst. 7 113-36
6. Bazaraa M S, Sherali H D and Shetty C M 2006 Nonlinear Programming: Theory and Algorithms 3rd edn (New York: Wiley)
7. Bednarz G, Michalski D, Houser C, Huq M S, Xiao Y, Anne P R and Galvin J M 2002 The use of mixed-integer programming for inverse treatment planning with pre-defined field segments Phys. Med. Biol. 47 2235-45
8. Bentley J 1986 Programming Pearls (Reading, MA: Addison-Wesley)
9. Boland N, Hamacher H W and Lenzen F 2004 Minimizing beam-on time in cancer radiation treatment using multileaf collimators Networks 43 226-40
10. Bortfeld T R, Kahler D L, Waldron T J and Boyer A L 1994 X-ray field compensation with multileaf collimators Int. J. Radiat. Oncol. Biol. Phys. 28 723-370
11. Dai J and Hu Y 1999 Intensity-modulation radiotherapy using independent collimators: an algorithm study Med. Phys. 26 2562-70
12. Dai J and Zhu Y 2001 Minimizing the number of segments in a delivery sequence for intensity-modulated radiation therapy with a multileaf collimator Med. Phys. 28 2113-20
13. Earl M A, Afghan M K N, Yu C X, Jiang Z and Shepard D M 2007 Jaws-only IMRT using direct aperture optimization Med. Phys. 34 307-14
14. Engel K 2005 A new algorithm for optimal multileaf collimator field segmentation Discrete Appl. Math. 152 35-51
15. Hamacher H W and Küfer K 2002 Inverse radiation therapy planning-a multiple objective optimization approach Discrete Appl. Math. 118 145-61
16. Kalinowski T 2004 The algorithmic complexity of the minimization of the number of segments in multileaf collimator field segmentation Technical Report (Rostock, Germany: Fachbereich Mathematik, Universität Rostock)
17. Kalinowski T 2005a A duality based algorithm for multileaf collimator field segmentation with interleaf collision constraint Discrete Appl. Math. 152 52-88
18. Kalinowski T 2005b Reducing the number of monitor units in multileaf collimator field segmentation Phys. Med. Biol. 50 1147-61
19. Kamath S, Sahni S, Li J, Palta J and Ranka S 2003 Leaf sequencing algorithms for segmented multileaf collimation Phys. Med. Biol. 48 307-24
20. Kamath S, Sahni S, Palta J and Ranka S 2004a Algorithms for optimal sequencing of dynamic multileaf collimators Phys. Med. Biol. 49 33-54
21. Kamath S, Sahni S, Palta J, Ranka S and Li J 2004b Optimal leaf sequencing with elimination of tongue-and-groove underdosage Phys. Med. Biol. 49 N7-N19
22. Kamath S, Sahni S, Ranka S, Li J and Palta J 2004c A comparison of step-and-shoot leaf sequencing algorithms that eliminate tongue-and-groove effects Phys. Med. Biol. 49 3137-43
23. Kamath S, Sahni S, Ranka S, Li J and Palta J 2004d Optimal field splitting for large intensity-modulated fields Med. Phys. 31 3314-23
24. Kim Y, Verhey L J and Xia P 2007 A feasibility study of using conventional jaws to deliver IMRT plans in the treatment of prostate cancer Phys. Med. Biol. 52 2147-56
25. Küfer K, Monz M, Scherrer A, Trinkaus H L, Bortfeld T and Thieke C 2003 Intensity Modulated Radiotherapy-a large scale multi-criteria programming problem OR Spektrum 25 223-49
26. Kutcher G J and Burman C 1989 Calculation of complication probability factors for non-uniform normal tissue irradiation: the effective volume method Int. J. Radiat. Oncol. Biol. Phys. 16 1623-30
27. Langer M, Thai V and Papiez L 2001 Improved leaf sequencing reduces segments or monitor units needed to deliver IMRT using multileaf collimators Med. Phys. 28 2450-8
28. Lee E K, Fox T and Crocker I 2000 Optimization of radiosurgery treatment planning via mixed integer programming Med. Phys. 27 995-1004
29. Lee E K, Fox T and Crocker I 2003 Integer programming applied to intensity-modulated radiation treatment planning Ann. Oper. Res. 119 165-81
30. Lenzen F 2000 An integer programming approach to the multileaf collimator problem Master's Thesis Department of Mathematics, University of Kaiserslautern, Kaiserslautern, Germany
31. Lim G J and Choi J 2006 A two-stage integer programming approach for optimizing leaf sequence in IMRT Technical Report (Houston, Texas: Department of Industrial Engineering, University of Houston)
32. Lu X and Chin L 1993 Sampling techniques for the evaluation of treatment plans Med. Phys. 20 151-61
33. Niemierko A 1997 Reporting and analyzing dose distributions: a concept of equivalent uniform dose Med. Phys. 24 103-10
34. Niemierko A 1999 A generalized concept of equivalent uniform dose Med. Phys. 26 1100
35. Preciado-Walters F, Rardin R, Langer M and Thai V 2004 A coupled column generation, mixed integer approach to optimal planning of intensity modulated radiation therapy for cancer Math. Program. 101 319-38
36. Que W 1999 Comparison of algorithms for multileaf collimator field segmentation Med. Phys. 26 2390-6
37. Radiation Therapy 0000 Oncology Group 2000 H-0022: A phase I/II study of conformal and intensity modulated irradiation for oropharyngeal cancer http://www.rtog.org/members/protocols/h0022/h0022.pdf
38. Radiation Therapy 0000 Oncology Group 2002 H-0225: A phase II study of intensity modulated radiation therapy (IMRT) +/- chemotherapy for nasopharyngeal cancer http://www.rtog.org/members/protocols/0225/0225.pdf
39. Rockafellar R T and Uryasev S 2000 Optimization of conditional value-at-risk J. Risk 2 21-41
40. Romeijn H E, Ahuja R K, Dempsey J F and Kumar A 2005 A column generation approach to radiation therapy treatment planning using aperture modulation SIAM J. Optim. 15 838-62
41. Romeijn H E, Ahuja R K, Dempsey J F and Kumar A 2006 A new linear programming approach to radiation therapy treatment planning problems Oper. Res. 54 201-16
42. Romeijn H E, Ahuja R K, Dempsey J F, Kumar A and Li J G 2003 A novel linear programming approach to fluence map optimization for intensity modulated radiation therapy treatment planning Phys. Med. Biol. 48 3521-42
43. Romeijn H E, Dempsey J F and Li J G 2004 A unifying framework for multi-criteria fluence map optimization models Phys. Med. Biol. 49 1991-2013
44. 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
45. Shepard D M, Ferris M C, Olivera G H and Mackie T R 1999 Optimizing the delivery of radiation therapy to cancer patients SIAM Rev. 41 721-44
46. Siebers J V, Lauterbach M, Keall P J and Mohan R 2002 Incorporating multi-leaf collimator leaf sequencing into iterative IMRT optimization Med. Phys. 29 952-9
47. Siochi R A C 1999 Minimizing static intensity modulation delivery time using an intensity solid paradigm Int. J. Radiat. Oncol. Biol. Phys. 43 671-89
48. Taşkin Z C, Smith J C, Romeijn H E and Dempsey J F 2007 Optimal multileaf collimator leaf sequencing in IMRT treatment planning Technical Report (Gainesville, Florida: Department of Industrial and Systems Engineering, University of Florida)
49. Tsien C, Eisbruch A, McShan D, Kessler M, Marsh R and Fraass B 2003 Intensity-modulated radiation therapy (IMRT) for locally advanced paranasal sinus tumors: incorporating clinical decisions in the optimization process Int. J. Radiat. Oncol. Biol. Phys. 55 776-84
50. Xia P and Verhey L J 1998 Multileaf collimator leaf sequencing algorithm for intensity modulated beams with multiple static segments Med. Phys. 25 1424-34