Stochastic sensitivity analysis of noise-induced suppression of firing and giant variability of spiking in a Hodgkin-Huxley neuron model / Bashkirtseva Irina,Neiman Alexander B.,Ryashko Lev // PHYSICAL REVIEW E. - 2015. - V. 91, l. 5.

ISSN/EISSN:

1539-3755 / 1550-2376

Type:

Article

Abstract:

We study the stochastic dynamics of a Hodgkin-Huxley neuron model in a regime of coexistent stable equilibrium and a limit cycle. In this regime, noise may suppress periodic firing by switching the neuron randomly to a quiescent state. We show that at a critical value of the injected current, the mean firing rate depends weakly on noise intensity, while the neuron exhibits giant variability of the interspike intervals and spike count. To reveal the dynamical origin of this noise-induced effect, we develop the stochastic sensitivity analysis and use the Mahalanobis metric for this four-dimensional stochastic dynamical system. We show that the critical point of giant variability corresponds to the matching of the Mahalanobis distances from attractors (stable equilibrium and limit cycle) to a three-dimensional surface separating their basins of attraction.

Author keywords:

LARGE FLUCTUATIONS; DRIVEN SYSTEMS; OPTIMAL PATHS; PERTURBATIONS; OSCILLATIONS; COEXISTENCE

DOI:

10.1103/PhysRevE.91.052920

Web of Science ID:

ISI:000355316100011

Соавторы в МНС:

Другие поля

Поле	Значение
Month	MAY 29
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	052920
EISSN	1550-2376
Keywords-Plus	LARGE FLUCTUATIONS; DRIVEN SYSTEMS; OPTIMAL PATHS; PERTURBATIONS; OSCILLATIONS; COEXISTENCE
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	irina.bashkirtseva@urfu.ru neimana@ohio.edu lev.ryashko@urfu.ru
ResearcherID-Numbers	Neiman, Alexander/G-2196-2010
ORCID-Numbers	Neiman, Alexander/0000-0002-0906-9894
Funding-Acknowledgement	Russian Foundation for Basic Research {[}14-01-00181]; NVIDIA Corporation
Funding-Text	The authors thank Benjamin Lindner and Felix Droste for stimulating discussions. I.B. and L.R. acknowledge support by the Russian Foundation for Basic Research (Grant No. 14-01-00181). A.N. gratefully acknowledges the support of NVIDIA Corporation with the donation of the Tesla K40 GPU used for this research.
Number-of-Cited-References	40
Usage-Count-Since-2013	10
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	CJ2LL