微循环系统动力学综合数学模型研究(Ⅰ)——理论基础  

Comprehensive Mathematical Model of Microcirculatory Dynamics (Ⅰ)——Basic Theory

作　　者：郭仲三 肖帆 郭四稳 伍岳庆 古乐野 

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》1999年第9期947-954,共8页Applied Mathematics and Mechanics

基　　金：四川省应用基础研究基金

摘　　要：根据微循环系统的生理情况，建立了微循环系统动力学非定常、非线性分布参数模型，包括血液动力学、间质动力学、淋巴动力学、蛋白质传输动力学、氧动力学、热量传输动力学和肌原性与代谢性调控过程，综合反映了它们之间的相互作用，并考虑了微动脉自律运动和血液非线性粘弹性的影响·　几何模型是一个包括微动脉、开放与储备毛细血管、微静脉、初始淋巴管和微动静脉吻合支的简单网络·　这种综合模型有助于临床数据的分析研究和“数值实验手段”的建立·Under the basis of physiological data, a non_linear and unsteady comprehensive mathematical model of microcirculatory dynamics with distributed parameters is developed. Hemodynamics, interstitium dynamics, lymph dynamics, dynamics of protein transport, oxygen dynamics, dynamics of heat transfer, and myogenic and metabolic regulation procedures are included. The interactions between these factors are comprehensively exhibited. The influences of arteriolar vasomotion and non_linear viscoelasticity of blood in arteriole are considered. A simplified vessel network consisting of arteriole, open and reserved capillaries, venule, initial lymphatics and arteriole_venule anastomose is adopted as the geometrical model. This kind of comprehensive mathematical model is helpful in analyzing clinical data and developing a “numerical experiment method” in microcirculation research.

关 键 词：微循环系统 综合数学模型 相互作用 动力学 

分 类 号：Q46[生物学—生理学] R331[医药卫生—人体生理学]