Rennie C J, Wright J J, Robinson P A
School of Physics, University of Sydney, New South Wales, 2006, Australia.
J Theor Biol. 2000 Jul 7;205(1):17-35. doi: 10.1006/jtbi.2000.2040.
A continuum model of the electrical activity of the cerebral cortex is described which predicts the occurrence of a resonance in the gamma range near 40 Hz. The emergence of this resonance is due to two refinements to a previous model, namely the inclusion of a modulation of synaptic strength due to finite reversal potentials, and use of parameters that better match physiological measurements. Analytical expressions for the fixed points of the system and for its linear dynamics are found in terms of average neuronal properties, and together explain the occurrence and modulation of the gamma-like resonance. The analytical results are confirmed by a numerical simulation.
描述了一种大脑皮层电活动的连续体模型，该模型预测在40Hz附近的伽马范围内会出现共振。这种共振的出现归因于对先前模型的两点改进，即纳入了由于有限反转电位引起的突触强度调制，以及使用了更符合生理测量的参数。根据平均神经元特性找到了系统固定点及其线性动力学的解析表达式，这些表达式共同解释了类伽马共振的出现和调制。数值模拟证实了分析结果。
