Zetterberg L H, Kristiansson L, Mossberg K
Biol Cybern. 1978 Nov 10;31(1):15-26. doi: 10.1007/BF00337367.
A model of a local neuron population is considered that contains three subsets of neurons, one main excitatory subset, an auxiliary excitatory subset and an inhibitory subset. They are connected in one positive and one negative feedback loop, each containing linear dynamic and nonlinear static elements. The network also allows for a positive linear feedback loop. The behaviour of this network is studied for sinusoidal and white noise inputs. First steady state conditions are investigated and with this as starting point the linearized network is defined and conditions for stability is discovered. With white noise as input the stable network produces rhythmic activity whose spectral properties are investigated for various input levels. With a mean input of a certain level the network becomes unstable and the characteristics of these limit cycles are investigated in terms of occurence and amplitude. An electronic model has been built to study more closely the waveforms under both stable and unstable conditions. It is shown to produce signals that resemble EEG background activity and certain types of paroxysmal activity, in particular spikes.
考虑一个局部神经元群体模型，它包含三个神经元子集，一个主要兴奋性子集、一个辅助兴奋性子集和一个抑制性子集。它们通过一个正反馈回路和一个负反馈回路相连，每个回路都包含线性动态元件和非线性静态元件。该网络还存在一个正线性反馈回路。针对正弦输入和白噪声输入研究了此网络的行为。首先研究稳态条件，并以此为起点定义线性化网络并发现稳定性条件。以白噪声作为输入时，稳定的网络会产生节律性活动，针对各种输入水平研究其频谱特性。当平均输入达到一定水平时，网络变得不稳定，并从出现情况和幅度方面研究这些极限环的特性。已构建一个电子模型来更深入地研究稳定和不稳定条件下的波形。结果表明，它能产生类似于脑电图背景活动和某些类型阵发性活动（特别是尖峰）的信号。
