del Castillo L F, Mason E A, Revercomb H E
Biophys Chem. 1979 Sep;10(2):191-201. doi: 10.1016/0301-4622(79)85040-1.
The first general multicomponent equations for transport through semipermeable membranes are derived from basic statistical-mechanical principles. The procedure follows that used earlier for open membranes, but semipermeability is modelled mathematically by the introduction of external forces on the impermeant species. Gases are treated first in order to clarify the problems involved, but the final results apply to general nonideal solutions of any concentration. The mixed-solvent effect is treated rigorously, and a mixed-solvent osmotic pressure is defined. A useful specific identification of so-called osmotic flow is given, along with a demonstration that such an identification cannot be unique. Results are obtained both for discontinuous membrane models, and for a continuous model.
首个用于描述通过半透膜传输的通用多组分方程是从基本的统计力学原理推导得出的。该过程遵循了早期用于开放膜的方法，但通过对非渗透物种施加外力来对半透性进行数学建模。首先处理气体以阐明其中涉及的问题，但最终结果适用于任何浓度的一般非理想溶液。对混合溶剂效应进行了严格处理，并定义了混合溶剂渗透压。给出了对所谓渗透流的一种有用的具体识别方法，同时证明了这种识别并非唯一。得到了不连续膜模型和连续模型的结果。
