Mathematical modeling of low-frequency oscillations observed in the diffusion of a substance through a membrane

被引：2
|
作者：
Tikhonov, N. A. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow, Russia
来源：
RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A | 2010年 / 84卷 / 08期
基金：
俄罗斯基础研究基金会;
关键词：
AMINO-ACIDS; TRANSPORT; SORPTION;
D O I：
10.1134/S0036024410080170
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
In the diffusion process of a substance through a membrane under external steady-state conditions, low-frequency oscillations in its concentration are observed experimentally. A theoretical explanation for this phenomenon is given, and the results of mathematical modeling are presented. Models based on local membrane conductivity as a function of solution concentration are examined. It is shown in this case that positive feedback develops between changes in the flows and concentrations, and this determines the development of oscillations in the diffusion process of a substance.
引用
收藏
页码：1369 / 1375
页数：7
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