Radiosurgery Treatment Planning via Nonlinear Programming

Annals of Operations Research

Volumn 119, Issue 1-4, 2003, Pages 247-260

  Ferris, Michael C ^a   Lim, Jinho ^b   Shepard, David M ^c  

^a University of Wisconsin Madison   (United States)

^b University of Wisconsin Madison   (United States)

^c UNIVERSITY OF MARYLAND SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037252153     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/A:1022951027498     Document Type: Conference Paper

References (19)

1. A. Brooke, D. Kendrick and A. Meeraus, GAMS: A User's Guide (The Scientific Press, South San Francisco, CA, 1988).
2. C. Chen and O.L. Mangasarian, Smoothing methods for convex inequalities and linear complementary problems, Mathematical Programming 78 (1995) 51-70.
3. P.S. Cho, H.G. Kuterdem and R.J. Marks, A spherical dose model for radiosurgery treatment planning, Physics in Medicine and Biology 43 (1998) 3145-3148.
4. A. Drud, CONOPT: A GRG code for large sparse dynamic nonlinear optimization problems, Mathematical Programming 31 (1985) 153-191.
5. Elekta, Leksell Gamma Plan: Instructions for Use (Elekta, Stockholm, Sweden, 2002).
6. M.C. Ferris, J.-H. Lim and D.M. Shepard, Optimization approaches for radiosurgery treatment planning, SIAM Journal on Optimization, to appear, 2003.
7. M.C. Ferris and D.M. Shepard, Optimization of Gamma Knife radiosurgery, in: Discrete Mathematical Probelms with Medical Applications, eds. D.-Z. Du, P. Pardalos and J. Wang, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 55 (Amer. Math. Soc., Providence, RI, 2000) pp. 27-44.
8. J.C. Ganz, Gamma Knife Surgery (Springer, Wien, 1997).
9. H.W. Hamacher and K.-H. Küfer, Inverse radiation therapy planning - a multiple objective optimization approach, Discrete Applied Mathematics 118 (2002) 145-161.
10. H.M. Kooy, L.A. Nedzi, J.S. Loeffler, E. Alexander, C. Cheng, E. Mannarino, E. Holupka and R. Siddon, Treatment planning for stereotactic radiosurgery of intra-cranial lesions, International Journal of Radiation Oncology, Biology and Physics 21 (1991) 683-693.
11. E.K. Lee, T. Fox and I. Crocker, Optimization of radiosurgery treatment planning via mixed integer programming, Medical Physics (2000) to appear.
12. L. Luo, H. Shu, W. Yu, Y. Yan, X. Bao and Y. Fu, Optimizing computerized treatment planning for the Gamma Knife by source culling, International Journal of Radiation Oncology, Biology and Physics 45(5) (1999) 1339-1346.
13. D.M. Shepard, M.C. Ferris, G. Olivera and T.R. Mackie, Optimizing the delivery of radiation to cancer patients, SIAM Review 41 (1999) 721-744.
14. D.M. Shepard, M.C. Ferris, R. Ove and L. Ma, Inverse treatment planning for Gamma Knife radiosurgery, Medical Physics 27 (2000) 12.
15. R.A. Stone, V. Smith and L. Verhey, Inverse planning for the Gamma Knife, Medical Physics 20 (1993) 865.
16. J. Wang, Packing of unequal spheres and automated radiosurgical treatment planning, Journal of Combinatorial Optimization 3 (1999) 453-463.
17. S. Webb, Optimisation of conformal radiotherapy dose distributions by simulated annealing, Physics in Medicine and Biology 34(10) (1989) 1349-1370.
18. Q.J. Wu and J.D. Bourland, Morphology-guided radiosurgery treatment planning and optimization for multiple isocenters, Medical Physics 26(10) (1999) 2151-2160.
19. Y. Yan, H. Shu and X. Bao, Clinical treatment planning optimization by Powell's method for Gamma Unit Treatment System, International Journal of Radiation Oncology, Biology and Physics 39 (1997) 247-254.