Shu Hua-zhong, Bao Xu-dong, Yu Wen-xue, et al. Optimization of Stereotactic radiosurgery [ J ]. International Medical Devices, 2000,16(12):20～25.[舒华忠,鲍旭东,於文雪等.立体定向放射外科治疗的方案优化[J].世界医疗器械,2000,16(12):20～25.]
[2]
Wu Xin-gen, Lu Wei-xue, Luo Li-min. The study of multi-phrase multi-criterion steretactic radiotherapy treatment planning [ J ].Chinese Journal of Medical Instrumentation, 1998, 22 (6): 320 ～322.[吴新根,吕维雪,罗立民.分阶段多准则立体定向放射治疗计划研究[J].中国医疗器械杂志,1998,22(6):320～322.]
[3]
Xing L, Li J G, Donaldson S, et al. Optimization of importance factors in inverse planning [ J ]. Physics in Medicine and Biology,1999, 44(10): 2525 ～ 2536.
[4]
Cotrutz C, Lahanas M, Kappas K, et al. A multiobjective gradient based dose optimization algorithm for external beam conformal radiotherapy[ J ]. Physics in Medicine and Biology, 2001, 46 ( 8 ):2161 ～2175.
[5]
Xu Cheng-xian, Chen Zhi-ping, Li Nai-cheng. Morden optimization method[M].Beijing:Science Press,2002.[徐成贤,陈志平,李乃成.近代优化方法[M].北京:科学出版社,2002.]
[6]
Srinivas N, Deb K. Multiobjective function optimization using nondominated sorting genetic algorithms[J] . Evolutionary Computation,1995, 2(3) :221 ～224.
[7]
Wang Ling. Intelligent optimization method and its applications[ M].Beijing:Tsinghua University Press,2001.[王凌.智能优化算法及其应用[M].北京:清华大学出版社,2001.]
[8]
Wu Xin-gen, Lu Wei-xue, Luo Li-min. Application of constrained simulated annealing to 3D stereotactic radiotherapy treatment planning [J]. Journal of Biomedical Engineering, 1998, 15 (3): 250 ～ 255.[吴新根,吕维雪,罗立民.有约束模拟退火法优化3D立体定向放射治疗计划[J].生物医学工程学杂志,1998,15(3):250～255.]
[9]
Wu Xin-gen, Luo Li-min, Bao Xu-dong, et al. Optimization algorithm of radiotherapy treatment planning using linear programming based on neural network(LPNN) [J]. Chinese Journal of Biomedical Engineering[J],2002,21(4):320～324.[吴新根,罗立民,鲍旭东等.放射治疗计划的神经网络优化算法[J].中国生物医学工程学报,2002,21(4):320～324.]
[10]
Bednarz G, Michalski D, Anne R P, et al. Inverse treatment planning using volume-based objective functions [ J ]. Physics in Medicine and Biology, 2004, 49(12): 2503 ～ 2514.
[11]
Lahanas M, Schreibmann E, Baltas D. Multiobjective inverse planning in intensity modulated radiotherapy with constrained-free gradient-based optimization algorithms[ J]. Physics in Medicine and Biology, 2003, 48 (17): 2843 ～ 2871.
[12]
Fonseca C M , Fleming P J. An overview of evolutionary algorithms in multiobjective optimization [ J]. Evolutionary Computation, 1995,3(1): 1～16.
[13]
Deb K, Agrawal S, Pratap A, et al. A fast and elitist multiobjective genetic algorithm: NSGA-Ⅱ [J]. IEEE Transactions on Evolutionary Computation, 2002, 6(2) :182 ～ 197.
