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肺支气管树的DLA分形生长模拟
引用本文:张健,谭小苹,裴觉民. 肺支气管树的DLA分形生长模拟[J]. 四川大学学报(工程科学版), 2003, 35(1): 66-68
作者姓名:张健  谭小苹  裴觉民
作者单位:四川大学,生物医学工程中心,四川,成都,610065
摘    要:将计算机仿真的实验方法引入肺器官功能动力学领域,以Wistten和Sander提出的有限扩散凝聚模型(DLA-Diffusion Limited Aggregation)为基础,在肺叶边界约束下用计算机对肺支气管树的生长及其分布情况进行了模拟。实验中主要考虑分析并讨论了边界情况、运动粒子的反应几率、扩散步长、凝聚中心、凝聚距离等因素对于肺支气管树的生长及分布的影响。在大约10000个粒子的成功凝聚后,一侧肺支气管树的粗略形态可以得出。其结果初步揭示了肺器官功能的动力学过程与其结构的一致性。

关 键 词:DLA 模拟 分形生长 肺 支气管树 有限扩散凝聚模型 计算机仿真 肺器官功能 动力学
文章编号:1009-3087(2003)01-0066-03
修稿时间:2002-07-08

DLA Simulation of Fractal Growth of Bronchial Tree
Abstract:The method of computer simulation in the studies of dynamics of lung function was introduced. Based on the work of Witten and Sander (1981), authors developed a modified DLA (Diffusion Limited Aggregation) model for the simulation of the growth of bronchial tree. The growth probabilities of the bronchial tree were affected by the rate of releasing random walkers from the external boundary. The present authors also considered the effects of boundary shape, the location of aggregation center, the step length of random walker, and the aggregating distance on the growth of bronchial tree. After 10,000 cyclic calculations a preliminary configuration of the bronchial tree was obtained. The calculated result reveals preliminarily the correspondence of the dynamical process of the human respiratory performance to the structure of the lung.
Keywords:fractal growth  bronchial tree  diffusion limited aggregation  
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