Bakharev B V, Zhadin M N
Biofizika. 1997 Jan-Feb;42(1):214-22.
The integral equation, describing the electroencephalogram and taking into account the steepness of PSP fronts, delays of action potential spread, and neural Inhibito-inhibitory connections, is derived and analysed. The damping decrements and frequencies of the equation solutions in the continuum of parameters, associated with total numbers excitatory and inhibitory neurons in the cerebral cortex, density of synapses, and average level of excitation of cortical neurons are considered. The steepness of PSP fronts does not qualitatively change the solution's structure with the influences of EPSP and IPSP fronts being opposite. The inhibito-inhibitory connections expand the damped solutions regions. The delays of action potential spread between excitatory neurons enlarge the damped solutions region, and the delays in ones between inhibitory and excitatory neurons decrease it, especially for higher frequencies.
推导并分析了一个积分方程,该方程描述了脑电图,并考虑了突触后电位前沿的陡度、动作电位传播的延迟以及神经抑制-抑制性连接。考虑了与大脑皮层中兴奋性和抑制性神经元总数、突触密度以及皮层神经元平均兴奋水平相关的参数连续体中方程解的阻尼衰减和频率。突触后电位前沿的陡度不会定性地改变解的结构,因为兴奋性突触后电位和抑制性突触后电位前沿的影响是相反的。抑制-抑制性连接扩大了阻尼解的区域。兴奋性神经元之间动作电位传播的延迟扩大了阻尼解的区域,而抑制性和兴奋性神经元之间的延迟则减小了该区域,尤其是对于较高频率。