具有椭圆对称性的生物系统中扩散控制的平均反应时间。

Diffusion-controlled mean reaction times in biological systems with elliptical symmetry.

作者信息

Weaver D L

机构信息

Department of Physics, Tufts University, Medford, MA, USA.

出版信息

Biophys Chem. 1979 Nov;10(3-4):245-51. doi: 10.1016/0301-4622(79)85013-9.

DOI:10.1016/0301-4622(79)85013-9

PMID:16997221

Abstract

The mean reaction (encounter or absorption) time is calculated in terms of the system size and reaction probability parameters for three-dimensional systems with diffusion-controlled dynamics and in which there is spherical, prolate spheroidal or oblate spheroidal geometry. Analytical and numerical comparisons are made among the three geometries. For completeness, similar results are derived for a two-dimensional elliptically symmetrical system, and the probability of non-absorption (or reaction) is found for a semi-infinite three-dimensional space with prolate or oblate spheroidal symmetry.

摘要

平均反应（相遇或吸收）时间是根据具有扩散控制动力学且几何形状为球形、长椭球形或扁椭球形的三维系统的系统大小和反应概率参数来计算的。对这三种几何形状进行了分析和数值比较。为了完整起见，还推导了二维椭圆对称系统的类似结果，并求出了具有长椭球或扁椭球对称性的半无限三维空间中不吸收（或不反应）的概率。