基于分形网络的人呼吸系统气体传输模型  

Air transport model of human respiratory system based on fractal networks

作　　者：王吉喆[1] 李守巨[1] 刘迎曦[1] 孙秀珍[2] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116024 [2]大连医科大学第二附属医院,辽宁大连116027

出　　处：《大连理工大学学报》2008年第4期475-479,共5页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(10472025)

摘　　要：基于呼吸系统的分形特性,提出了气体在人呼吸系统中传输的数值模拟模型,研究了人呼吸系统分形结构的传输特性.根据串联、并联网络原理和Darcy定律,建立了基于分形网络的呼吸系统等效渗透率计算模型.分形网络模型用于描述人呼吸系统气体传输的机理.采用数值方法分析了分形参数对等效渗透率的影响.研究表明:人呼吸系统的等效渗透率随着比例因子β的增加而增加,随着比例因子γ的增加而降低.推导出人呼吸系统的最优分叉数M=2.呼吸系统的优化分形结构使得系统的能量消耗最低.A theoretical model of air transport of a branched transport system is proposed in order to investigate the air transport characteristics in human respiratory system. Based on the parallel and series principles and Darcy＇s Law, the equivalent permeability of human respiratory system is developed by using fractal networks. The fractal network model of human respiratory system is presented to model air transport properties. The influence of fractal parameters on permeability is investigated numerically. The investigation shows that the equivalent permeability of respiratory network will increase with the increase of scaling factors β, and decrease as the increase of γ. The human respiratory system poses an optimal bronchial tree structure. The optimal number of bifurcating branches M is equal to 2. The optimal fractal structure of human respiratory system can ensure minimal dissipation.

关 键 词：人呼吸系统 气体输送 分形网络 优化分叉树 等效渗透率 

分 类 号：O368[理学—流体力学]