Abstract:A method based on simulated annealing (SA) algorithm to reconstruct 6MV X-ray energy spectra from medical linear accelerators was investigated in this work, utilizing both measured percentage depth doses (PDD) and MonteCarlo simulated central axis PDD of monoenergy photons. As for the SA optimization, 60 energy bins were employed with different relative weights and the objective function was chosen as the correlation coefficient between reconstructed PDD (the products of relative weights and Monte-Carlo simulated PDD) and measured PDD. The optimal solution calculated by SA algorithm was exactly the spectrum of the accelerator. To verify the proposed method, a Monte-Carlo simulation of the accelerator treatment head was performed to calculate the 6MV photon energy spectrum for comparison. Results showed that the reconstructed spectrum was in good agreement with the MonteCarlo simulated spectrum in both shape and peak position; the derived PDD from reconstructed spectrum were highly consistent with the measured PDD with a rootmeansquare error of 1.56×10-4. Above experimental results indicated that reconstructing photon spectra based on SA algorithm with measured PDD was effective and reliable.
刘娟 周正东* 陈元华 王东东. 基于模拟退火法的医用电子加速器6MV X 射线能谱重建[J]. 中国生物医学工程学报, 2013, 32(4): 385-389.
LIU Juan ZHOU Zheng Dong* CHEN Yuan Hua WANG Dong Dong. Reconstruction of 6MV Xray Spectra of Medical Linear Accelerator Based on Simulated Annealing Algorithm. journal1, 2013, 32(4): 385-389.
[1]Deng J, Jiang SB, Kapur A, et al. Photon beam characterization and modeling for Monte Carlo treatment planning [J]. Physics in Medicine and Biology, 2000, 45: 411-427.[2]王妙琪.利用蒙地卡罗法模拟西门子医用直线加速器输出之光子射束特性[D]. 台湾: 国立阳明大学,2009.
[3]张松柏,黄斐增,韩树奎,等. 6MV医用电子直线加速器轫致辐射谱研究 [J]. 原子能科学技术, 2003, 37(3): 206-210.
[4]Baker CR,Peck KK. Reconstruction of 6 MV photon spectra from measured transmission including maximum energy estimation [J]. Physics in Medicine and Biology, 1997, 42: 2041-2051.
[5]王毅,李勤,江孝国,等. 衰减透射法测量高能X射线能谱 [J]. 强激光与粒子束, 2012, 6:1466-1470.
[6]Deng J,Jiang SB,Pawlicki T, et al. Derivation of electron and photon energy spectra from electron beam central axis depth dose curves [J]. Physics in Medicine and Biology, 2001, 46: 1429-1449.
[7]姚杏红,黄斐增,吴昊,等. 利用深度剂量数据重建放射治疗X射线能谱 [J]. 原子能科学技术, 2010, 44(4): 464-468.
[8]Bloch P, Altschuler MD, Bjarngard BE, et al. Determining clinical photon beam spectra from measured depth dose with the Cimmino algorithm [J]. Physics in Medicine and Biology, 2000, 45: 171-183.
[9]Carletti C, Meoli P, Craero WR. A modied simulated annealing algorithm for parameter determination for a hybrid virtual model [J]. Physics in Medicine and Biology, 2006, 51: 3941-3952.
[10]周正东,陈元华,刘娟. 基于遗传算法的医用直线加速器光子能谱重建方法 [J]. 东南大学学报:自然科学版, 2012, 42(6):1085-1088.
[11]赵继俊. 优化技术与MATLAB优化工具箱 [M]. 北京: 机械工业出版社, 2011.
[12]蒋金山, 何春雄, 潘少华. 最优化计算方法 [M]. 广州: 华南理工大学出版社, 2007.