Diffusion in the presence of periodically spaced permeable membranes
Diffusion in the presence of periodically spaced permeable membranes
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DOI：
10.1063/1.1814055
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发表时间：
2004-12-08
影响因子：
4.4
通讯作者：
Weiss, GH
中科院分区：
文献类型：
--
作者：
Dudko, OK;Berezhkovskii, AM;Weiss, GH
分子在生物组织和其他微异质系统中的扩散受渗透屏障的影响。与无障碍扩散相比，这导致扩散在长时间内减慢。在短时间内，屏障的作用很弱。因此，扩散系数D（t）作为时间的函数而减小。我们推导出一个精确的解决方案的拉普拉斯变换D（t）的扩散在空间中分成层由等距，平行的相同平面的任意渗透性。此外，我们给出了一个近似D（t），这是合理准确的分区渗透率从零（孤立层的情况下）到无穷大（无障碍的情况下）的整个范围内。(C)2004年，美国物理学会。
The diffusion of molecules in biological tissues and some other microheterogeneous systems is affected by the presence of permeable barriers. This leads to the slowdown of diffusion at long times as compared to barrier-free diffusion. At short times the effect of barriers is weak. In consequence, the diffusion coefficient D(t) decreases as a function of time. We derive an exact solution for the Laplace transform of D(t) for diffusion in a space separated into layers by equally spaced, parallel identical planes of arbitrary permeability. Additionally, we give an approximation to D(t) which is reasonably accurate over the whole range of the partition permeability from zero (the case of isolated layers) to infinity (the case of no barriers). (C) 2004 American Institute of Physics.