Reconstruction of electron spectra from depth doses with adaptive regularization

Medical Physics

Volumn 33, Issue 2, 2006, Pages 354-359

  Wei, Jikun ^a   Sandison, George A ^a   Chvetsov, Alexei V ^b  

^a PURDUE UNIVERSITY   (United States)

^b CASE WESTERN RESERVE UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Ill conditioned problem; Quadratic objective function; Regularization; Spectral reconstruction

Indexed keywords

ELECTRONS; MONTE CARLO METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PATIENT TREATMENT; PHASE SPACE METHODS;

ILL CONDITIONED PROBLEMS; NONPHYSICAL OSCILLATIONS; PHASE SPACE DISTRIBUTIONS; QUADRATIC OBJECTIVE FUNCTIONS; REGULARIZATION; REGULARIZATION TECHNIQUE; SPECTRAL RECONSTRUCTION; TREATMENT PLANNING SYSTEMS;

INVERSE PROBLEMS;

ARTICLE; ELECTRON; ELECTRON BEAM; METHODOLOGY; MONTE CARLO METHOD; PRIORITY JOURNAL; RADIATION DEPTH DOSE; SPECTRUM;

EID: 31844439526     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.2161404     Document Type: Article

References (15)

1. D. W. O. Rogers, B. A. Faddegon, G. X. Ding, C. M. Ma, J. We, and T. R. Mackie, "BEAM: A Monte Carlo code to simulate radiotherapy treatment units," Med. Phys. 22, 503-524 (1995).
2. J. O. Deasy, P. R. Almond, and M. T. McEllistrem, "Measured electron energy and angular distributions from clinical accelerators," Med. Phys. 23, 675-684 (1996).
3. L. Zhengming and D. Jette, "On the possibility of determining an effective energy spectrum of clinical electron beams from percentage depth dose (PDD) data of broad beams," Phys. Med. Biol. 44, N177-N182 (1999).
4. B. A. Faddegon and I. Blevis, "Electron spectra derived from depth dose distribution," Med. Phys. 27, 514-526 (2000).
5. J. Deng, S. B. Jiang, T. Pawlicki, J. Li, and C. -M. Ma, "Derivation of electron and photon energy spectra from electron beam central axis depth dose curves," Phys. Med. Biol. 46, 1429-1449 (2001).
6. J. J. Janssen, E. W. Korevaar, L. J. van Battum, P. R. M. Storchi, and H. Huizenga, "A model to determine the initial phase space of a clinical beam from measured data," Phys. Med. Biol. 46, 269-286 (2001).
7. I. Kawrakow, M. Fippel, and K. Friedrich, "3D electron dose calculations using a voxel based Monte Carlo algorithm (VMC)," Phys. Med. Biol. 23, 445-457 (1996).
8. A. Chvetsov and G. A. Sandison, "Reconstruction of electron spectra using singular component decomposition," Med. Phys. 29, 578-591 (2002).
9. A. Chvetsov and G. A. Sandison, "Angular correction in reconstruction of electron spectra from depth dose distributions," Med. Phys. 30, 2155-2158 (2003).
10. A. N. Tichonov, "Regularization of incorrectly posed problems," Soviet Mathematics, Translation of Doklady Akademii Nauk SSSR (American Mathematical Society, Providence, Rhode Island, 1963), Vol. 4, pp. 1624-1627.
11. R. H. Byrd, P. Lu, J. Nocedal, and C. Zhu, "A limited memory algorithm for bound constrained optimization," SIAM J. Sci. Comput. (USA) 16, 1190-1208 (1995).
12. G. X. Ding and D. W. O. Rogers, "Energy spectra, angular spread, and dose distributions of electron beams from various accelerators used in radiotherapy," NRC Report No. PIRS-439, NRC, Ottawa, 1995.
13. L. J. Lorence, Jr., J. E. Morel, and G. D. Valdez, "Physics guide to CEPXS: A multigroup coupled electron-photon cross-section generating code," SAND89-1685, Sandia National Laboratories 1989.
14. L. J. Lorence, Jr., J. E. Morel, and G. D. Valdez, "User's guide to CEPXS/ ONEDANT: A one dimensional coupled electron-photon discrete ordinales code package-Version 1.0," SAND89-1661, Sandia National Laboratories 1989.
15. L. J. Lorence, Jr., J. E. Morel, and G. D. Valdez, "Results guide to CEPXS/ONEDANT: A multigroup coupled electron-photon discrete ordinales code package-Version 1.0," SAND89-2211, Sandia National Laboratories 1990.