肾小球毛细血管网及肾脏调控系统的数学建模  

Mathematical Modeling of Glomerular Capillary Network and Renal Control System

作　　者：沈在意[1] 贺缨[1] 胡瑞清[1] 

机构地区：[1]中国科学技术大学近代力学系生物力学实验室,安徽合肥230027

出　　处：《航天医学与医学工程》2011年第3期204-209,共6页Space Medicine & Medical Engineering

基　　金：安徽省自然科学基金(11040606M09)

摘　　要：目的研究肾脏的透析功能和调控机理。方法分别对肾小球毛细血管网和肾脏调控系统进行了数学建模。首先根据肾小球解剖结构建立肾小球小叶一维网络模型,然后基于前人工作,重建包括4个子系统(心血管系统、肾脏系统、激素系统、体液电解质系统)的肾脏调控系统数学模型,并将肾脏子系统部分与肾小球网络模型结合,模拟肾小球结构对过滤作用的影响。结果模拟了肾小球网络入球小动脉狭窄和有血管阻塞时各节点的压力、各血管的过滤流量以及人体快速摄入1 L水后尿液的排泄速率变化。结论模拟结果与实验结果基本符合,此模型可以用于对肾小球病变(血管狭窄,堵塞等)时的尿液排泄速率进行预测。Objective To investigate the dialysis function and regulation mechanism of kidney.Methods The mathematical modeling of glomerular network and renal control system were established respectively.First,one-dimensional network model for glomerular was obtained based on the anatomical structure of glomerular.Second,basing on Uttamsingh＇s work,we established a mathematical model of renal control system which contained 4 subsystems（cardiovascular system,renal system,hormonal system,body fluid electrolyte system） by coupling the glomerular one-dimensional network model with the renal subsystem.The effect of glomerular structure on the filtration was simulated.Results The pressure distribution and filtration flow in the glomerular network were investigated when the afferent glomerular arteriole was stenotic or capillaries were blocked.The excretion rate of urine after intaking 1 L water rapidly was simulated under the conditions of normal and abnomal glomerular structure.Conclusion The simulation results are in good agreement with the experimental results.It is shown that our model can be used to predict the excretion rate of urine when the glomerular is in pathological conditions,such as stenosis and occlusions of blood vessels.

关 键 词：肾小球毛细血管 肾脏系统 有孔毛细血管 数学建模 

分 类 号：R319[医药卫生—基础医学] R318.16