A NON-UNIFORM EQUIVALENT CABLE MODEL OF MEMBRANE VOLTAGE CHANGES IN A PASSIVE DENDRITIC TREE
A NON-UNIFORM EQUIVALENT CABLE MODEL OF MEMBRANE VOLTAGE CHANGES IN A PASSIVE DENDRITIC TREE
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DOI：
10.1016/s0022-5193(89)80015-3
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发表时间：
1989-11-21
影响因子：
2
通讯作者：
SCHIERWAGEN, AK
中科院分区：
文献类型：
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作者：
SCHIERWAGEN, AK
在无源树突状树等效圆柱模型的基础上，提出了膜电压变化的非均匀等效电缆模型。它是由索理论与连续体方法相结合得到的。将分支枝晶的精细结构替换为具有平均电参数特征的等效导电介质，推导出具有空间变化参数的一维电缆方程。虽然这些方程一般只能在数值上求解，但我们能够制定一个一般的分支条件（包括Rall' s 3/2幂关系作为特殊情况），在该条件下，可以从等效圆柱体模型的解析解中推导出解析解。这个模型允许树突树与更多种类的分支模式比以前的分析处理。
A non-uniform equivalent cable model of membrane voltage changes in a passive dendritic tree extending Rall''s equivalent cylinder model is presented. It is obtained from a combination of cable theory with the continuum approach. Replacing the fine structure of the branching dendrites by an equivalent, conductive medium characterized by averaged electrical parameters, the one-dimensional cable equations with spatially varying parameters are derived. While these equations can be solved in general only numerically, we were able to formulate a general branching condition (comprising Rall''s 3/2 power relationship as a special case) under which analytical solutions can be deduced from those of the equivalent cylinder model. This model allows dendritic trees with a greater variety of branching patterns than before to be analytically treated.