Stochastic Sensitivity and Method of Principal Directions in Excitability Analysis of the Hodgkin-Huxley Model

被引：9

作者：

Bashkirtseva, Irina ^{[1
]}

Ryashko, Lev ^{[1
]}

机构：

[1] Ural Fed Univ, Inst Nat Sci & Math, Lenina 51, Ekaterinburg 620000, Russia

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2019年 / 29卷 / 13期

基金：

俄罗斯科学基金会;

关键词：

Hodgkin-Huxley model; random disturbance; excitability; stochastic sensitivity; method of principal direction; COHERENCE RESONANCE; NOISE; SYNCHRONIZATION; PATTERNS; CHAOS;

D O I：

10.1142/S0218127419501864

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the probabilistic behavior of the Hodgkin-Huxley neuron model in the presence of random forcing of the external current parameter. The stochastic excitement in the zone of stable equilibria is illustrated by the statistics of interspike intervals and probabilistic distributions of mixed-mode oscillations. For the parametric analysis of this phenomenon, a constructive method for stochastic sensitivity and confidence ellipsoids is suggested. It is shown how to simplify this analysis using the principal direction approach. A constructive application of this technique is demonstrated by analyzing the stochastic excitement in the Hodgkin-Huxley model.

引用

页数：9

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