A characterization of robust radiation therapy treatment planning methods-from expected value to worst case optimization

Medical Physics

Volumn 39, Issue 8, 2012, Pages 5169-5181

  Fredriksson, Albin ^a,b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b RaySearch Laboratories   (Sweden)

Author keywords

IMPT; optimization; robust planning; uncertainty

Indexed keywords

OPTIMIZATION; PROBABILITY DISTRIBUTIONS; RADIOTHERAPY; STOCHASTIC SYSTEMS; SYSTEMATIC ERRORS;

CONVENTIONAL METHODS; IMPT; INTENSITY MODULATED PROTON THERAPIES; OPTIMIZATION FORMULATIONS; RADIATION THERAPY TREATMENT PLANNING; RANDOM SET-UP ERRORS; ROBUST PLANNING; UNCERTAINTY;

RANDOM ERRORS;

EID: 84864718284     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.4737113     Document Type: Article

References (20)

1. A. J. Lomax, Intensity modulated proton therapy and its sensitivity to treatment uncertainties 1: The potential effects of calculational uncertainties., Phys. Med. Biol. 53 (4), 1027-1042 (2008). 10.1088/0031-9155/53/ 4/014 (Pubitemid 351238121)
2. A. J. Lomax, Intensity modulated proton therapy and its sensitivity to treatment uncertainties 2: The potential effects of inter-fraction and inter-field motions., Phys. Med. Biol. 53 (4), 1043-1056 (2008). 10.1088/0031-9155/53/4/015 (Pubitemid 351238122)
3. J. Löf, B. K. Lind, and A. Brahme, Optimal radiation beam profiles considering the stochastic process of patient positioning in fractionated radiation therapy., Inverse Probl. 11 (6), 1189-1209 (1995). 10.1088/0266-5611/11/6/005
4. J. Unkelbach and U. Oelfke, Inclusion of organ movements in IMRT treatment planning via inverse planning based on probability distributions., Phys. Med. Biol. 49 (17), 4005-4029 (2004). 10.1088/0031-9155/49/17/013 (Pubitemid 39242991)
5. A. Fredriksson, A. Forsgren, and B. Hårdemark, Minimax optimization for handling range and setup uncertainties in proton therapy., Med. Phys. 38 (3), 1672-1684 (2011). 10.1118/1.3556559
6. J. Dupacvá, Minimax stochastic programs with nonseparable penalties., In Optimization Techniques, Lecture Notes in Control and Information Sciences (Springer-Verlag, Berlin, 1980), pp. 157-163.
7. A. Shapiro and A. Kleywegt, Minimax analysis of stochastic problems., Optim. Methods Software 17, 523-542 (2002). 10.1080/1055678021000034008 (Pubitemid 35242096)
8. W. Chen, J. Unkelbach, A. Trofimov, T. Madden, H. Kooy, T. Bortfeld, and D. Craft, Including robustness in multi-criteria optimization for intensity-modulated proton therapy., Phys. Med. Biol. 57 (3), 591-608 (2012). 10.1088/0031-9155/57/3/591
9. A. Ben-Tal and A. Nemirovski, Robust convex optimization., Math. Oper. Res. 23 (4), 769-805 (1998). 10.1287/moor.23.4.769 (Pubitemid 128508557)
10. D. Bertsimas and M. Sim, The Price of Robustness., Oper. Res. 52 (1), 35-53 (2004). 10.1287/opre.1030.0065 (Pubitemid 40000812)
11. M. Chu, Y. Zinchenko, S. G. Henderson, and M. B. Sharpe, Robust optimization for intensity modulated radiation therapy treatment planning under uncertainty., Phys. Med. Biol. 50 (23), 5463-5477 (2005). 10.1088/0031-9155/50/ 23/003 (Pubitemid 41750434)
12. T. C. Y. Chan, T. Bortfeld, and J. N. Tsitsiklis, A robust approach to IMRT optimization., Phys. Med. Biol. 51 (10), 2567-2583 (2006). 10.1088/0031-9155/51/10/014
13. T. C. Y. Chan, J. N. Tsitsiklis, and T. Bortfeld, Optimal margin and edge-enhanced intensity maps in the presence of motion and uncertainty., Phys. Med. Biol. 55 (2), 515-533 (2010). 10.1088/0031-9155/55/2/012
14. P. Artzner, F. Delbaen, J. M. Eber, and D. Heath, Coherent Measures of Risk., Math. Finance 9 (3), 203-228 (1999). 10.1111/1467-9965.00068
15. R. T. Rockafellar and S. Uryasev, Optimization of conditional value-at-risk., J. Risk 2, 21-41 (2000). 10.1.1.125.7903
16. B. Hårdemark, J. Andersson, A. Liander, H. Rehbinder, and J. Löf, Robust inverse treatment planning considering organ motion., in Proceedings of the American Association of Physicists in Medicine (AAPM) 46th Annual Meeting (poster), 1715, 2004.
17. J. Unkelbach and U. Oelfke, Incorporating organ movements in inverse planning: Assessing dose uncertainties by bayesian inference., Phys. Med. Biol. 50 (1), 121-139 (2005). 10.1088/0031-9155/50/1/010 (Pubitemid 40185405)
18. J. Unkelbach, T. Bortfeld, B. C. Martin, and M. Soukup, Reducing the sensitivity of IMPT treatment plans to setup errors and range uncertainties via probabilistic treatment planning., Med. Phys. 36 (1), 149-163 (2009). 10.1118/1.3021139
19. G. A. Ezzell, J. W. Burmeister, N. Dogan, T. J. LoSasso, J. G. Mechalakos, D. Mihailidis, A. Molineu, J. R. Palta, C. R. Ramsey, B. J. Salter, J. Shi, P. Xia, N. J. Yue, and Y. Xiao, IMRT commissioning: Multiple institution planning and dosimetry comparisons, a report from AAPM Task Group 119., Med. Phys. 36 (11), 5359-73 (2009). 10.1118/1.3238104
20. P. E. Gill, W. Murray, and M. A. Saunders, SNOPT: An SQP algorithm for large-scale constrained optimization., SIAM Rev. 47 (1), 99-131 (2005). 10.1137/S0036144504446096 (Pubitemid 40535973)