Marsh D J
Fed Proc. 1983 May 15;42(8):2398-404.
The history of mathematical modeling of renal countercurrent systems is briefly outlined. Several examples are cited and discussed. These include efforts at parameter estimation and experimental design with models. The goal of this work was the evaluation of hypotheses of hypertonic urine formation. The argument is made that computer simulation with reasonably isomorphic models can be used in a variety of ways, but that one indispensable role for this approach is to provide a test of the quantitative sufficiency of hypotheses. Hypotheses of hypertonic urine formation that do not consider active transport in thin ascending limbs do not pass this test. A new proposal is suggested in which the energy for NaCl reabsorption from thin ascending limbs is derived from dissipation of a urea gradient via an antiport.
本文简要概述了肾逆流系统数学建模的历史。引用并讨论了几个例子。这些例子包括使用模型进行参数估计和实验设计的工作。这项工作的目标是评估高渗尿液形成的假说。有人认为，使用合理同构的模型进行计算机模拟可以有多种用途，但这种方法一个不可或缺的作用是对假说的定量充分性进行检验。不考虑细段升支主动转运的高渗尿液形成假说无法通过这项检验。本文提出了一项新的提议，即细段升支重吸收氯化钠的能量来自尿素梯度通过反向转运体的耗散。
