微循环系统动力学综合数学模型研究(Ⅱ)———计算方法及结果  

Comprehensive Mathematical Model of Microcirculatory Dynamics(Ⅱ)——Calculation and the Results

作　　者：郭仲三[1] 肖帆[1] 郭四稳 伍岳庆 古乐野 钱伟长 

机构地区：[1]中科院成都计算所,成都610041

出　　处：《应用数学和力学》2000年第5期523-528,共6页Applied Mathematics and Mechanics

基　　金：四川省应用基础研究基金课题

摘　　要：利用解析法与有限元法相结合的“影响线算法” ,求解了第一部分中建立的数学模型 ,分析了微循环系统动力学的若干重要问题 ,表明在微动脉自律运动周期内 ,间质流体压力将两次改变符号 ,因而某些理论中十分强调的间质流体压力是略高于或略低于大气压力的问题显得并不重要 ;微动脉自律运动能导致周期性的淋巴形成 ,间质总应力在这一过程中起着重要作用 ;微循环局部调节可以以动态平衡的方式在一定范围内满足代谢的需要·　计算还表明了微动脉“阻力血管”The mathematical model described in Part I was solved using “influence line method” combining analytical method and finite element method. Many important aspects of microcirculatory dynamics were analyzed and discussed. It show that interstitial fluid pressure changes its sign twice within one arteriolar vasomotion period and it is therefor not important that interstitial fluid pressure is a little higher or lower than atmospheric pressure; arteriolar vasomotion can periodically result in lymph formation and interstitial total pressure plays an important role in this procedure; local regulation of microcirculation can meet metabolic need to some extent in the form of dynamic equilibrium. The property of arteriole as a “resistant vessel” and the efficiency of microvascular network as heat exchanger are also shown. These results show that the comprehensive mathematical model developed in Part I is physiologically reasonable.

关 键 词：微循环系统动力学 综合数学模型 计算方法 

分 类 号：R331.35[医药卫生—人体生理学] Q463[医药卫生—基础医学]