Verkman A S, Dix J A
Anal Biochem. 1984 Oct;142(1):109-16. doi: 10.1016/0003-2697(84)90524-4.
The effects of solution unstirred layers on the time course of chemical reactions and transport processes at a membrane surface are determined. A set of equations which describes non-steady-state diffusion through an unstirred layer coupled with chemical reaction at a membrane surface or transport through a membrane is developed. A numerical solution to the equations is obtained by uncoupling diffusive and chemical processes in an iterative manner. The diffusive process is solved by the Crank-Nicolson method; the chemical process is solved by integrating the differential equations describing the kinetics. Diffusive processes in one dimension, in three dimensions, and in the presence of an arbitrary potential near the membrane surface are solved. General characteristics of the calculated reaction time course are discussed using surface binding and membrane transport examples. Small, neglected, unstirred layers are shown to sometimes yield erroneous values of rate parameters for a surface reaction and to simulate competitive reaction kinetics. Experimental approaches for measuring unstirred layer thickness are reviewed.
确定了溶液未搅拌层对膜表面化学反应和传输过程时间进程的影响。推导了一组描述通过未搅拌层的非稳态扩散以及膜表面化学反应或通过膜的传输的方程。通过以迭代方式解耦扩散和化学过程，获得了这些方程的数值解。扩散过程采用克兰克 - 尼科尔森方法求解；化学过程通过对描述动力学的微分方程进行积分来求解。求解了一维、三维以及膜表面附近存在任意势场情况下的扩散过程。利用表面结合和膜传输的例子讨论了计算得到的反应时间进程的一般特征。结果表明，小的、被忽略的未搅拌层有时会给出表面反应速率参数的错误值，并模拟竞争反应动力学。综述了测量未搅拌层厚度的实验方法。
