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关于肾脏功能的数学模型研究
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摘要:
把血-肾关系看成是水和溶质在它们之间的循环流动,据此对各成分建立物质守恒方程。如果再假设神经一激素调节已足以使 Na+浓度稳定在标准值附近,则可由此方程式组把肾滤液流(GFR)、血液 pH 值和其他各溶质的浓度都定解为 Na+浓度和各回收流动力学参数的函数。由定态解可导出以下与传统理论不同的结论:①肾滤液流是被 Na+回收流按等渗关系决定的,不可能是被血流动力学因素独立决定的。②肾小管钠泵的生理功能是驱动 Na+-水循环流而不是建立钠浓度。③血液 pH 值是由诸共轭酸离解速度之和为零这一 H+守恒方程决定的,与缓冲容量无关。④各成分的排泄流都只决定于其摄入流,与肾的调控功能无关等等。
关键词:  肾脏  内环境稳定  数学模型  酸碱调节  
DOI:
基金项目:
AN OVER-VIEW STUDY OF RENAL FUNCTIONS BY MATHEMATICAL MODEL
Abstract:
The matter exchange between the blood pool and kidney is mode- lled as via cyclic flows of water and solutes between them.Equations are esta- blished for every component based on the dynamical mass balance of them in the flow-system.If we additionally assume that the neural hormonal mecha nisms in the distal parts of tubels were effective enough to keep the Na~+ concentration nearby its standard value without demand on the proximal parts, then GFR as well as pH value and concentrations of all solutes in blo...
Key words:  kidney  homeostasis  model  acid-base regulation