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Interplay between channel and shot noise at the onset of spiking activity in neural membranes
Journal of Computational Electronics ( IF 2.1 ) Pub Date : 2020-03-12 , DOI: 10.1007/s10825-020-01482-w
Beatriz G. Vasallo , Javier Mateos , Tomás González

The role played by ion channel noise and ion shot noise around the threshold conditions for spiking activity in biological membranes is studied by means of a stochastic model based on the Hodgkin–Huxley equations, considering membrane voltage-dependent gating channels for sodium and potassium cations, and leakage channels. Ion channel noise, that is, the noise linked to the random opening and closing of the ion channels, is included by means of Langevin sources. Ion shot noise, associated with the random passage of ions through the cell membrane, is considered by using the Gillespie’s method, in terms of the probabilities for different ions to cross the membrane. The threshold for spiking activity is reached by applying increasing values of an external excitation Iapp in a large membrane patch S, for which the strength of channel noise is insufficient for the onset of spikes in the absence of Iapp. On the other hand, since by decreasing S the strength of both noise sources increases, spiking activity is also achieved for small enough values of S when Iapp = 0. The noise behavior of this biological system is analyzed in terms of the autocorrelation function and the spectral density of the membrane voltage fluctuations. Even if ion shot noise is typically considered as negligible when other electrical sources of neural noise are taken into account, the results indicate that, particularly around the onset of instabilities, the signature of shot noise, by the interplay with channel noise, is evident in the spectral density of the membrane voltage fluctuations.

中文翻译:

在神经膜的尖峰活动开始时通道噪声和散粒噪声之间的相互作用

通过基于Hodgkin-Huxley方程的随机模型,考虑了钠和钾阳离子的膜电压依赖性门控通道,研究了离子通道噪声和离子散粒噪声在生物膜中加标活性阈值附近的作用。和泄漏通道。离子通道噪声,即与离子通道的随机打开和关闭有关的噪声,通过兰格文源得到了抑制。通过使用吉列斯比(Gillespie's)方法,就不同离子穿过细胞膜的可能性,考虑了与离子随机通过细胞膜相关的离子弹噪声。通过在大型膜片中应用外部激励I app的增加值来达到峰值活动的阈值S,在没有I app的情况下,通道噪声的强度不足以产生尖峰。在另一方面,由于通过降低š的两个噪声源的强度增加,尖峰活性也被实现为足够小的值小号的应用 =0。根据自相关函数和膜电压波动的频谱密度分析了此生物系统的噪声行为。即使在考虑其他神经噪声源的情况下,通常认为离子散粒噪声也可以忽略不计,结果表明,尤其是在不稳定现象发生时,散粒噪声与通道噪声相互作用的特征明显。膜电压波动的频谱密度。
更新日期:2020-03-12
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