Application of constrained least-squares techniques to IMRT treatment planning

International Journal of Radiation Oncology Biology Physics

Volumn 54, Issue 4, 2002, Pages 1217-1224

  Crooks, S M ^a   Xing, L ^a  

^a STANFORD UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Dose optimization; IMRT; Inverse planning; Treatment planning

Indexed keywords

DOSIMETRY; INVERSE PROBLEMS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; LINEAR EQUATIONS; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION; RADIOTHERAPY; TUMORS;

TREATMENT PLANNING;

PATIENT TREATMENT;

ARTICLE; BIOTRANSFORMATION; CALCULATION; ENVIRONMENT; HUMAN; INTENSITY MODULATED RADIATION THERAPY; OPERATOR; PARASITE; PRIORITY JOURNAL; PROSTATE CARCINOMA; RADIOTHERAPY; REGRESSION ANALYSIS; TECHNIQUE; TREATMENT PLANNING;

ALGORITHMS; HUMANS; LEAST-SQUARES ANALYSIS; MALE; PROSTATIC NEOPLASMS; RADIOTHERAPY PLANNING, COMPUTER-ASSISTED;

EID: 0037111132     PISSN: 03603016     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0360-3016(02)03810-5     Document Type: Article

References (29)

1. Bortfeld T., Burkelbach J., Boesecke R., Schlegel W. Methods of image reconstruction from projections applied to conformation radiotherapy. Phys Med Biol. 35:1990;1423-1434.
2. Ling C.C., Burman C., Chui C.S., Kutcher G.J., et al. Conformal radiation treatment of prostate cancer using inversely-planned intensity-modulated photon beams produced with dynamic multileaf collimation. Int J Radiat Oncol Biol Phys. 35:1996;721-730.
3. Xia P., Fu K.K., Wong G.W., Akazawa C., Verhey L.J. Comparison of treatment plans involving intensity-modulated radiotherapy for nasopharyngeal carcinoma. Int J Radiat Oncol Biol Phys. 48:2000;329-337.
4. Le Q.T., Xing L., Boyer A.L. Head, and Neck IMRT-The Stanford Experience. Purdy J.A., et al. International Symposium: 3D Conformal Radiation Therapy and Intensity Modulated Radiation Therapy in the New Millennium. 1999;Medical Physics Publishing, Houston. IV-3.
5. Xing L., Hamilton R.J., Spelbring D., Pelizzari C.A., Chen G.T., Boyer A.L. Fast iterative algorithms for three-dimensional inverse treatment planning. Med Phys. 25:1998;1845-1849.
6. Mundt A.J., Roeske J.C., Lujan A.E., et al. Initial clinical experience with intensity-modulated whole-pelvis radiation therapy in women with gynecologic malignancies. Gynecol Oncol. 82:2001;456-463.
7. Webb S. Optimisation of conformal radiotherapy dose distributions by simulated annealing. Phys Med Biol. 34:1989;1349-1370.
8. Rosen I.I., Lam K.S., Lane R.G., Langer M., Morrill S.M. Comparison of simulated annealing algorithms for conformal therapy treatment planning. Int J Radiat Oncol Biol Phys. 33:1995;1091-1099.
9. Morrill S.M., Lam K.S., Lane R.G., Langer M., Rosen I.I. Very fast simulated reannealing in radiation therapy treatment plan optimization. Int J Radiat Oncol Biol Phys. 31:1995;179-188.
10. Morill S.M., Lane R.G., Wong J.A., Rosen I.I. Dose-volume considerations with linear programming optimization. Med Phys. 18:1991;1201-1210.
11. Shepard D.M., Ferris M.C., Olivera G.H., Mackie T.R. Optimizing the delivery of radiation therapy to cancer patients. SIAM Rev. 41:1999;721-744.
12. Xing L., Chen G.T.Y. Iterative algorithms for inverse treatment planning. Phys Med Biol. 41:1996;2107-2123.
13. Hristov D.H., Fallone B.G. An active set algorithm for treatment planning optimization. Med Phys. 24:1997;1455-1464.
14. Shepard D.M., Olivera G.H., Reckwerdt P.J., Mackie T.R. Iterative approaches to dose optimization in tomotherapy. Phys Med Biol. 45:2000;69-90.
15. Sauer O.A., Shepard D.M., Mackie T.R. Application of constrained optimization to radiotherapy planning. Med Phys. 26:1999;2359-2566.
16. Holmes T., Mackie T.R. A filtered backprojection dose calculation method for inverse treatment planning. Med Phys. 21:1994;303-313.
17. Pugachev A., Boyer A.L., Xing L. Beam orientation optimization in intensity modulated radiation therapy. Med Phys. 27:2000;1238-1245.
18. Llacer J. Inverse radiation treatment planning using the Dynamically Penalized Likelihood method. Med Phys. 24:1997;1751-1764.
19. Xing L., Li J.G., Pugachev A., Le Q.T., Boyer A.L. Estimation theory and model parameter selection for therapeutic treatment plan optimization. Med Phys. 26:1999;2348-2358.
20. Andrew H.C., Hunt B.R. Image restoration. Upper Saddle River. 1977;Prentice Hall, NJ.
21. Starkschall G. A constrained least-squares optimization method for external beam radiation therapy treatment planning. Med Phys. 11:1984;659-665.
22. Starkschall G., Eifel P.J. An interactive beam-weight optimization tool for three-dimensional radiotherapy treatment planning. Med Phys. 19:1992;155-163.
23. Basilevsky A. Applied linear algebra in the statistical sciences. 1983;North Holland, New York.
24. Gantmacher F.R. The theory of matrices. 1960;Chelsea Publishing Co, New York.
25. Leon S.J. Linear algebra with applications. 2002;Prentice Hall, Upper Saddle River, NJ.
26. Srinath M.D., Rajasekaran P.K. An introduction to statistical signal processing with applications. 1979;Wiley, New York.
27. Kay S. Fundamentals of statistical signal processing Estimation theory . 1993;Prentice Hall, Upper Saddle River, NJ.
28. Winkler G. Image analysis, random field and dynamic Monte Carlo methods. 1995;Springer-Verlag, Berlin.
29. Xing L., Li J.G., Donaldson S., Le Q.T., Boyer A.L. Optimization of importance factors in inverse planning. Phys Med Biol. 44:1999;2525-2536.