On the degeneracy of the IMRT optimization problem

Medical Physics

Volumn 29, Issue 11, 2002, Pages 2584-2589

  Alber, M ^a   Meedt, G ^a   Nusslin F ^a   Reemtsen, R ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b Institute of Mathematics   (United Kingdom)

Author keywords

IMRT; Optimization

Indexed keywords

DETERIORATION; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; OPTIMIZATION;

CONJUGATE GRADIENT OPTIMIZATION; CRITICAL STRUCTURES; DOSE DISTRIBUTIONS; IMRT; NUMBER OF ITERATIONS; OBJECTIVE FUNCTIONS; OPTIMIZATION PARAMETER; OPTIMIZATION PROBLEMS;

CURVE FITTING;

ALGORITHM; ARTICLE; CALCULATION; DOSIMETRY; INTENSITY MODULATED RADIATION THERAPY; MATHEMATICAL MODEL; PHOTOTHERAPY; PRIORITY JOURNAL; RADIATION DOSE DISTRIBUTION; RADIOTHERAPY; COMPUTER ASSISTED RADIOTHERAPY; COMPUTER SIMULATION; EVALUATION; METHODOLOGY; QUALITY CONTROL; RADIATION DOSE; RADIOMETRY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; COMPUTER SIMULATION; QUALITY CONTROL; RADIOMETRY; RADIOTHERAPY DOSAGE; RADIOTHERAPY PLANNING, COMPUTER-ASSISTED; RADIOTHERAPY, CONFORMAL; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 0036852437     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.1500402     Document Type: Article

References (15)

1. S. Webb, The Physics of Conformal Radiotherapy: Advances in Technology, Medical Science Series (IOP, Bristol, 1997).
2. S. Webb, Intensity-Modulated Radiation Therapy, Medical Science Series (IOP, Bristol, 2000).
3. A. Niemierko, "A generalized concept of equivalent uniform dose (EUD) (abstract)," Med. Phys. 26, 1100 (1999).
4. M. S. Bazaraa, H. D. Sherali, and C. M. Shetty, Nonlinear Programming (Wiley, New York, 1983).
5. J. O. Deasy, "Multiple local minima in radiotherapy optimization problems with dose-volume constraints," Med. Phys. 24, 1157-1161 (1997).
6. M. Alber and F. Nüsslin, "An objective function for radiation treatment optimization based on local biological measures," Phys. Med. Biol. 44, 479-493 (1999).
7. S. Webb, D. J. Convery, and P. M. Evans, "Inverse planning with constraints to generate smoothed intensity-modulated beams," Phys. Med. Biol. 43, 2785-2794 (1998).
8. M. Alber and F. Nüsslin, "Intensity modulated photon beams subject to a minimal surface smoothing constraint," Phys. Med. Biol. 45, N49-N52 (2000).
9. M. Alber and F. Nüsslin, "Optimization of intensity modulated radiotherapy under constraints for static and dynamic MLC delivery," Phys. Med. Biol. 46, 3229-3239 (2001).
10. R. Mohan, M. Arnfield, S. Tong, Q. Wu, and J. Siebers, "The impact of fluctuations in intensity patterns on the number of monitor units and the quality and accuracy of intensity modulated radiotherapy," Med. Phys. 27, 1226-1237 (2000).
11. S. V. Spirou, N. Fournier-Bidoz, J. Yang, C.-S. Chui, and C. C. Ling, "Smoothing intensity-modulated beam profiles to improve the efficiency of delivery," Med. Phys. 28, 2105-2112 (2001).
12. J. Nocedal and S. J. Wright, Numerical Optimization (Springer, New York, 1999).
13. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge 1994).
14. M. Alber, M. Birkner, W. Laub and F. Nüsslin. "Hyperion: An integrated IMRT planning tool," in Proceedings of the XIII International Conference on the Use of Computers in Radiation Therapy, edited by W. Schelge and T. Bortfeld (Springer, Heidelberg, 2000), pp. 46-48.
15. W. De Gersem, F. Claus, C. De Wagter, B. Van Duyse, and W. De Neve, "Leaf position optimization for step-and-shoot IMRT," Int. J. Radiat. Oncol. Biol., Phys. 51, 1371-1388 (2001).