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清华大学学报(自然科学版)  2014, Vol. 54 Issue (2): 153-158    
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基于模拟退火算法的磁感应治疗热籽分布
蔡东阳,卓子寒,王婕,武建安,唐劲天()
 
Distribution of thermo seeds in magnetic induction therapy based on the simulated annealing algorithm
Dongyang CAI,Zihan ZHUO,Jie WANG,Jian'an WU,Jintian TANG()
Key Laboratory of Particle and Radiation Imaging of Ministry of Education, Tsinghua University, Beijing 100084, China
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摘要 

肿瘤区域内的热籽适形分布算法是肿瘤磁感应治疗计划系统中的一个关键技术,其核心问题是使用最小数量的热籽达到预期的温度场分布。为解决热籽适形分布问题,该文提出了结合热籽产热传热学的模拟退火算法。分析了应用模拟退火算法解决热籽分布问题的计算方法,包括热籽分布模型的设计、产热传热模型的建立以及退火计划的设计。考虑到热籽分布问题的特殊性,重新定义了初始温度与停止条件、评价函数与接受概率、退火策略以及具体计算步骤。通过计算机仿真对肿瘤区域建模与网格化、热籽植入模型、温度场分布以及算法迭代进行了模拟,验证了应用模拟退火算法解决热籽分布问题的可行性。

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蔡东阳
卓子寒
王婕
武建安
唐劲天
关键词 磁感应热疗模拟退火算法热籽生物传热    
Abstract

Optimum distribution of the thermo seeds in a tumor is key to magnetic induction therapy planning. The core objective is to achieve the desired temperature distribution using the minimum number of thermo seeds. The optimum distribution of the thermo seeds is found using the simulated annealing (SA) algorithm combined with bio-heat production and transfer theory. This paper describes the calculational method to solve for the distribution of thermo seeds using the SA algorithm, including the design of the thermo seed distribution model, the bio-heat production and transfer model and the SA scheme. The algorithm is designed for the thermo seed distribution, initial temperature, stop condition, evaluation functions, acceptance probability and annealing strategy. The modeling and meshing of the tumor region, the modeling of the thermo seed implantation, the temperature distribution, and the iteration process are all introduced to show the feasibility of solving for the thermo seed distribution using the SA algorithm.

Key wordsmagnetic induction therapy    simulated annealing algorithm    thermo seed    bio-heat transfer
收稿日期: 2012-11-22      出版日期: 2015-04-16
ZTFLH:     
基金资助:北京市科技计划项目 (Z111100067311053)
引用本文:   
蔡东阳, 卓子寒, 王婕, 武建安, 唐劲天. 基于模拟退火算法的磁感应治疗热籽分布[J]. 清华大学学报(自然科学版), 2014, 54(2): 153-158.
Dongyang CAI, Zihan ZHUO, Jie WANG, Jian'an WU, Jintian TANG. Distribution of thermo seeds in magnetic induction therapy based on the simulated annealing algorithm. Journal of Tsinghua University(Science and Technology), 2014, 54(2): 153-158.
链接本文:  
http://jst.tsinghuajournals.com/CN/  或          http://jst.tsinghuajournals.com/CN/Y2014/V54/I2/153
参数
直径/mm 0.8±0.02
长度/mm 6±0.1
单颗质量/mg 25±0.1
电导率/(S·m) (2.3±0.08)×106
Curie温度/℃ 76
比热容/(J·kg-1·K-1) 439±20
  Ni-Cu合金热籽参数
参数 计算值
组织热导率/(W·m-1·K-1) 0.5
血液比热容/(J·kg-1·K-1) 3 639
血液灌注率/(kg·m-3·s-1) 1
动脉血温度/℃ 37
交变磁场频率/kHz 100
热籽最大磁导率 1.885×10-4
Curie点附近曲线斜率系数 0.4
交变磁场磁场强度/(kA·m-1) 2
  相关计算参数取值
  肿瘤和计算空间建模
  模型网格化
  最密热籽分布
  计算空间初始温度分布
迭代次数 热籽数量 计算结果/% 评价函数计算结果
0 148 0 0.93
100 141 0 0.87
500 115 0 0.74
1 000 81 0 0.56
1 350 58 0 0.43
1 365 57 67 0
  模拟退火算法迭代中间过程
  最终热籽分布
  计算空间最终温度分布
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