Linear programming based on neural networks for radiotherapy treatment planning

Physics in Medicine and Biology

Volumn 45, Issue 3, 2000, Pages 719-728

  Wu, Xingen ^a   Zhu, Yunping ^b   Luo, Limin ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b ST JUDE CHILDREN S RESEARCH HOSPITAL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; ARTIFICIAL NEURAL NETWORK; COMPUTER PROGRAM; DOSIMETRY; ELECTRONICS; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; RADIATION BEAM; RADIATION DOSE; RADIOISOTOPE THERAPY; SIGNAL PROCESSING; TUMOR CELL;

ALGORITHMS; MODELS, STATISTICAL; NEURAL NETWORKS (COMPUTER); RADIOTHERAPY DOSAGE; RADIOTHERAPY PLANNING, COMPUTER-ASSISTED; SOFTWARE;

EID: 0034099487     PISSN: 00319155     EISSN: None     Source Type: Journal    
DOI: 10.1088/0031-9155/45/3/310     Document Type: Article

References (37)

1. Bahr G K, Kereiakes J G, Horwitz H, Finney R, Galvin J and Goode K 1968 The method of linear programming applied to radiation treatment planning Radiology 91 686-93
2. Bardash M, Amols H I, Kohn S, Martel M K, Wuu C S, Sisti M and Chang C H 1992 Rapid dose calculations for stereotactic radiosurgery Med. Phys. 19 965-70
3. Cichocki A and Unbehauen R 1990 Switched-capacitor neural networks for nonlinear optimization with constraints Proc. IEEE Symp. on Circuits and Systems, ISCAS-90 (New Orleans, 1990) (New York: IEEE) pp 2809-12
4. _1991 Switched capacitor neural networks for differential optimization Int. J. Circuit Theory Appl. 19 161-7
5. Dennis J B 1959 Mathematical Programming and Electrical Networks (London: Chapman and Hall)
6. Fujii S, Kurokawa N, Kumamoto E, Yasuda T and Tsukamoto Y 1995 External beam radiotherapy treatment planning by linear programming Med. Electron. Biomed. Eng. 33 301-9
7. Fymat A L, Greenfield M A, Lo S C and Findley D 1988 Optimization of the radiotherapy treatment plan Appl. Math. Comput. 21 117-46
8. Holmes T and Mackie T R 1994 A comparison of three inverse treatment planning algorithms Phys. Med. Biol. 39 91-106
9. Hope C S and Cain O 1972 A computer program for optimized stationary beam treatment planning using score functions Comput. Programs Biomed. 2 221-31
10. Hope C S, Laurie J, Orr J S and Halnan K E 1967 Optimization of x-ray treatment planning by computer judgement Phys. Med. Biol. 12 531-42
11. Hopfield J J 1982 Neural networks and physical systems with emergent collective computational abilities Proc. Natl Acad. Sci. USA 79 2554-8
12. Hopfield J J and Tank D W 1985 Neural computation of decisions in optimization problems Biol. Cybernet. 52 141-52
13. Jou I C, Wu C Y and Lin R Y 1990 Programmable SC neural networks for solving nonlinear programming problems IEEE Symp. on Circuits and Systems, ISCAS-90 (New Orleans, 1990) (New York: IEEE) pp 2837-40
14. Källman P, Lind B K and Brahme A 1992 An algorithm for maximizing the probability of complication-free tumor control in radiation therapy Phys. Med. Biol. 37 871-90
15. Kennedy M P and Chua L O 1988 Neural networks for nonlinear programming IEEE Trans. Circuits Systems 35 554-62
16. Legras J, Legras B and Lambert J P 1982 Software for linear and non-linear optimization in external radiotherapy Comput. Programs Biomed. 15 233-42
17. Luenberger D G 1973 Introduction to Linear and Nonlinear Programming (Cambridge: Addison-Wesley)
18. Mageras G S and Mohan R 1993 Application of fast simulated annealing to optimization of conformal radiation treatments Med. Phys. 20 639-47
19. Mantel J, Perry H and Weinkam J J 1979 X-ray depth-dose characteristics of the Toshiba LMR-16 Med. Phys. 6 95-9
20. Mohan R, Mageras G S, Baldwin B, Brewster L J, Kutcher G J, Leibel S, Burman C M, Ling C C and Fuks Z 1992 Clinically relevant optimization of 3-D conformal treatment Med. Phys. 19 933-44
21. Morrill S M, Lane R G and Rosen I I 1990 Constrained simulated annealing for optimized radiation therapy treatment planning Comput. Methods Programs Biomed. 33 135-44
22. Pike B, Podgorsak E B, Peters T M and Pla C 1987 Dose distributions in dynamic stereotactic radiosurgery Med. Phys. 14 780-9
23. Pyne L B 1956 Linear programming on an electronic analogue computer AIEE Commun. Electron. 75 139-43
24. Redpath A T, Vickery B L and Wright D H 1976 A new technique for radiotherapy planning using quadratic programming Phys. Med. Biol. 21 781-91
25. Rodriquez-Vazquez A, Dominquez-Castro R. Rueda A, Huertas J L and Sanchez-Sinencio E 1990 Nonlinear switched-capacitor neural networks for optimization problems IEEE Trans. Circuits Systems 37 384-98
26. Rosen I I, Lane R G, Morrill S M and Belli J A 1991 Treatment plan optimization using linear programming Med. Phys. 18 141-52
27. Shu H Z, Yan Y L, Bao X D, Fu Y and Luo L M 1998 Treatment planning optimization by quasi-Newton and simulated annealing methods for gamma unit treatment system Phys. Med. Biol. 43 2795-805
28. Sixel K E, Podgorsak E B and Souhami L 1993 Cylindrical dose distributions in pseudodynamic rotation radiosurgery: an experimental study Med. Phys. 20 163-8
29. Starkschall G 1984 A constrained least-squares optimization method for external beam radiation therapy treatment planning Med. Phys. 11 659-65
30. Stern T E 1965 Theory of Nonlinear Networks and Systems (New York: Addison-Wesley)
31. Sun T S, Bova F J, Yoon S C, Choe B Y, Kim M C, Shinn K S, Bahk Y W, Ha S W and Park C I 1996 Computer-aided design optimization with the use of a fast dose model for linear-accelerator-based stereotactic radiosurgery Phys. Med. Biol. 41 675-96
32. Tank D W and Hopfield J J 1986 Simple 'neural' optimization network: an A/D converter, signal decision circuit and a linear programming circuit IEEE Trans. Circuits Syst. 33 533-41
33. Unbehauen R and Cichocki A 1989 MOS Switched-Capacitor and Continuous-Time Integrated Circuits and Systems: Analysis and Design (New York: Springer)
34. Webb S 1989 Optimization of conformal radiotherapy dose distributions by simulated annealing Phys. Med. Biol. 34 1349-70
35. _1991 Optimization by simulated annealing of three-dimensional conformal treatment planning for radiation fields defined by a multileaf collimator Phys. Med. Biol. 36 1201-26
36. Yan Y L, Bao X D, Ba Y, Limin Luo, Huazhong Shu and Yao Fu 1997 3-D imaging and stereotactic radiosurgery IEEE Eng. Med. Biol. Mag. 6 47-52
37. Yuan J L and Chiang H D 1991 A neural net linear programming solver Proc. 1991 IEEE Int. Symp. on Circuits and Systems (Singapore, 1991) (New York: IEEE) pp 1117-20