Multiple local minima in radiotherapy optimization problems with dose- volume constraints

Medical Physics

Volumn 24, Issue 7, 1997, Pages 1157-1161

  Deasy, J O ^a  

^a University of Louisville School of Medicine   (United States)

Author keywords

Beam weights; Convex; Intensity modulation; Local minima; Optimization; TCP

Indexed keywords

TRANSMISSION CONTROL PROTOCOL;

BEAM WEIGHTS; CONVEX; INTENSITY MODULATIONS; LOCAL MINIMUMS; OPTIMIZATION ALGORITHMS; OPTIMIZATION PROBLEMS; TUMOR CONTROL PROBABILITY; WEIGHT OPTIMIZATION;

OPTIMIZATION;

ALGORITHM; ARTICLE; CANCER CONTROL; CANCER RADIOTHERAPY; MATHEMATICAL MODEL; PRIORITY JOURNAL; RADIATION DOSE; TARGET ORGAN;

EID: 0030876015     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.598017     Document Type: Article

References (16)

1. S. Webb, The Physics of Three-Dimensional Radiation Therapy; Conformal Therapy, Radiosurgery and Treatment Planning (Institute of Physics, Bristol, 1993)
2. A. Brahme, Radiation Therapy Physics, chapter Treatment optimization using physical and radiobiological objective functions, edited by A. Smith (Springer, Berlin, 1995), pp. 210-246.
3. I. I. Rosen, K. S. Lam, R. G. Lane, M. Langer, and S. M. Morril, "Comparison of simulated annealing algorithms for conformal therapy treatment planning," Int. J. Radiat. Oncol Biol. Phys. 33, 1091-1099 (1995).
4. A. Niemierko, "Random search algorithm (RONSC) for optimization of radiation therapy with both physical and biological end points and constraints," Int. J. Radiat. Oncol. Biol. Phys. 23, 89-98 (1992).
5. M. Langer and J. Leong, "Optimization of beam weights under dose-volume restrictions," Int. J. Radiat. Oncol. Biol. Phys. 13, 1255-1260 (1987).
6. M. Langer, R Brown, M. Urie, J. Leong, M. Stracher, and J. Shapiro, "Large scale optimization of beam weights under dose volume restrictions," Int J. Radiat. Oncol. Biol. Phys. 18, 887-893 (1990).
7. M. Langer and P. Kijewski, "CCRT for non-small cell lung cancer: Sensitivity of clinical gains to organ tolerance restrictions," Int. J Radiat. Oncol. Biol. Phys. 22, 325-332 (1991).
8. X.-H. Wang, R. Mohan, A. Jackson, S. A. Leibel, Z. Fuks, and C. C Ling, "Optimization of intensity-modulated 3D conformal therapy treatment plans based on biological indices," Radiother. Oncol. 37, 140-152 (1995).
9. T. W. Holmes, "A Model for the Physical Optimization of External Beam Radiotherapy," Ph.D. thesis. University of Wisconsin-Madison, 1993.
10. A. Jackson, X. H. Wang, and R. Mohan, "Optimization of conformal treatment planning and quadratic dose objectives (abstr.)," Med. Phys. 21, 1006 (1994).
11. T. R. Munro and C. W. Gilbert, "The relation between tumour lethal doses and the radiosensitivity of tumor cells," Br. J. Radiol. 34, 246-251 (1961).
12. M. S. Bazaraa, H. D. Sherali, and C. M. Shetty, Nonlinear Programming, Theory and Algorithms (Wiley, New York, 1993)
13. J. Gregory, Nonlinear-programming-faq, 1996. Frequently asked questions listing posted monthly to the USENET news group sci.op-research and the internet site http://www.skypoint com/ashbury/nonlinear-programming-faq.html.
14. T. Bortfeld and W. Schlegel, "Optimization of beam orientations in radiation therapy: Some theoretical considerations," Phys. Med. Biol. 38, 291-304 (1993).
15. M. Langer (personal communication).
16. R. Mohan, X. Wang, A Jackson, T. Bortfeld, A. L Boyer, G. J. Kutcher, S. A. Leibel, Z. Fuks, and C. C. Ling, "The potential and limitations of the inverse radiotherapy technique," Radiother. Oncol. 32, 232-248 (1994).