An equation for flow in the renal proximal tubule.

An equation for flow in the renal proximal tubule.
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肾近曲小管中的流量方程。

DOI:
10.1007/bf02460061
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发表时间:
1986
影响因子:
3.5
通讯作者:
Weinstein,AM
Weinstein,AM
中科院分区:
数学4区
文献类型:
--
作者:
Weinstein,AM

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相似文献

上皮溶质和水传输的近似方程已与质量守恒关系相结合,产生代表沿近端小管的体积流量的单个微分方程。该流动方程是一阶拟线性方程,可以直接积分。对于稳态,结果是体积流量和沿小管的距离之间的隐式关系。对于两个与时间相关的问题(小管入口速度或渗透压的阶跃变化),获得从入口开始的流体元件的轨迹(距离作为通过时间的函数)。稳态关系相对于入口速度的微分产生与入口和出口速度相关的一阶微分方程。该方程被详细考虑,特别是关于与溶质相关的水重吸收的影响。使用代表大鼠近端小管的参数进行的模型计算表明,很难仅从出口和入口流量中辨别该上皮细胞中的耦合水通量。使用较低传输速率和较低渗透率的计算表明,该方程可能有助于量化其他物种近端小管中的耦合水流。
Approximate equations for epithelial solute and water transport have been combined with the relations of mass conservation to yield a single differential equation representing volume flow along the proximal tubule. This flow equation is first order, quasilinear and may be integrated directly. For the steady state, the result is an implicit relation between volume flow and distance along the tubule. For two time-dependent problems (step change of tubule inlet velocity or osmolality) the trajectories (distance as a function of transit time) of a fluid element starting at the inlet are obtained. Differentiation of the steady-state relation with respect to the inlet velocity yields a first-order differential equation relating inlet and outlet velocity. This equation is considered in detail, particularly with regard to the influence of solute-linked water reabsorption. Model calculations with parameters representing rat proximal tubule indicate that it will be difficult to discern coupled water flux in this epithelium from only outlet and inlet flows. Calculations using lower transport rates and lower permeabilities suggest that this equation may be useful in quantifying coupled water flow in proximal tubules from other species.
DOI: --
发表时间: 1962
期刊: Journal of Physiology
影响因子: --
作者:
J. Diamond
通讯作者: J. Diamond
DOI: --
发表时间: 1971
影响因子: 15.9
作者:
J. Kokko;F. Rector
通讯作者: F. Rector
大鼠近曲小管上皮的非平衡热力学模型。
DOI: 10.1016/s0006-3495(83)84287-8
发表时间: 1983
影响因子: 3.4
作者:
Weinstein,AM
通讯作者: Weinstein,AM
DOI: 10.1136/gut.4.1.1
发表时间: 1963
期刊: Gut
影响因子: 24.5
作者:
W. Aw
通讯作者: W. Aw
溶质和水在兔胆囊上皮中的耦合运输。
DOI: --
发表时间: 1964
影响因子: 15.9
作者:
R. T. Whitlock;H. O. Wheeler
通讯作者: H. O. Wheeler