Kainer R
J Math Biol. 1979 Jan 23;7(1):57-94. doi: 10.1007/BF00276414.
A mathematical model of the nephron was developed by writing a set of material balance equations for the flow of urea, salt and water along the foregoing study and are taken here as a basis, in particular the model configuration of the collecting duct system. The stimulation of the model equatentration profiles which at the ends of the several tubular sections were consistent with the values observed in experimental investigations.e medullary interstitial solute concentration profiles are taken to increase linearly in outer and inner zone. The several transeptithelial fluxes are driven by diffusion, osmosis, solvent drag and active transport. The development of osmotic gradient in the inner medulla is taken here to be caused by active secretion of salt into the descending LImb of Henle's loop. The parameters in the flux equations for all parts of the nephron and the concentration values at the end of each tubular section are determined by collecting and averaging the values given in literature and by extrapolating the measurement data. The simulation of the model equations with these averaged parameters resulted in concentration profiles which at the ends of the several tubular sections were consistent with the values observed in experimental investigations.
通过为尿素、盐和水沿上述研究的流动编写一组物质平衡方程,建立了肾单位的数学模型,并以此为基础,特别是集合管系统的模型结构。模型的刺激使几个肾小管段末端的浓度分布与实验研究中观察到的值一致。髓质间质溶质浓度分布在外区和内区呈线性增加。几种跨上皮通量由扩散、渗透、溶剂拖曳和主动转运驱动。此处认为内髓部渗透梯度的形成是由于盐主动分泌到亨氏袢降支所致。肾单位各部分通量方程中的参数以及每个肾小管段末端的浓度值是通过收集和平均文献中给出的值并外推测量数据来确定的。用这些平均参数对模型方程进行模拟,得到的浓度分布在几个肾小管段末端与实验研究中观察到的值一致。