Poznański R R, Peiris M S
Department of Information Science, Toho University, Chiba, Japan.
IMA J Math Appl Med Biol. 1996 Sep;13(3):207-22.
The expectation (mean) and variance of the depolarization in the absence of a threshold for action-potential generation is obtained in a neuron model represented by a tapering equivalent cable with a random (white noise) synaptic input current at a point along the dendrites. The results show that the introduction of a taper in the equivalent-cable representation of the neuron produces larger values for both the expectation and variance which are neither insensitive nor symmetrical with respect to the location of the input. It is also shown that taper extends the invariance of the variability in the steady-state somatic response to proximally located random inputs, implying that only small changes in the noisiness of the somatic response occur for a random input located in the dendrites.
在一个由逐渐变细的等效电缆表示的神经元模型中，在树突上某一点有随机（白噪声）突触输入电流，且不存在动作电位产生阈值的情况下，获得了去极化的期望值（均值）和方差。结果表明，在神经元的等效电缆表示中引入逐渐变细会使期望值和方差都产生更大的值，这些值对于输入位置既不敏感也不对称。还表明，逐渐变细扩展了稳态体细胞反应对近端随机输入的变异性不变性，这意味着对于位于树突中的随机输入，体细胞反应的噪声只有很小的变化。
