Statistical structure of neural spiking under non-Poissonian or other non-white stimulation

T Schwalger, F Droste, B Lindner - Journal of computational neuroscience, 2015 - Springer
Nerve cells in the brain generate sequences of action potentials with a complex statistics.
Theoretical attempts to understand this statistics were largely limited to the case of a …

Coherence resonance induced by non-Gaussian noise in a deterministic Hodgkin–Huxley neuron

Y Gong, Y Xie, Y Hao - Physica A: Statistical Mechanics and its Applications, 2009 - Elsevier
In this paper, we report a novel effect of a particular kind of non-Gaussian noise (NGN),
especially its deviation from Gaussian noise, on the spiking activity in a deterministic …

Variability of bursting patterns in a neuron model in the presence of noise

P Channell, I Fuwape, AB Neiman… - Journal of computational …, 2009 - Springer
Spiking and bursting patterns of neurons are characterized by a high degree of variability. A
single neuron can demonstrate endogenously various bursting patterns, changing in …

Phase synchronization in noise-driven bursting neurons

X Lang, Q Lu, J Kurths - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
The generation and synchronization of bursts are studied in intrinsically spiking neurons due
to stimulation with random intracellular calcium fluctuations. It is demonstrated that …

Power-law dynamics of membrane conductances increase spiking diversity in a Hodgkin-Huxley model

W Teka, D Stockton, F Santamaria - PLoS computational biology, 2016 - journals.plos.org
We studied the effects of non-Markovian power-law voltage dependent conductances on the
generation of action potentials and spiking patterns in a Hodgkin-Huxley model. To …

Noise-induced coherent oscillations in randomly connected neural networks

J Pham, K Pakdaman, JF Vibert - Physical Review E, 1998 - APS
We study the dynamics of randomly connected excitatory networks of excitable spike-
response neuron models. Large networks can exhibit a nonmonotonic collective response to …

Ion shot noise in Hodgkin–Huxley neurons

BG Vasallo, J Mateos, T González - Journal of Computational Electronics, 2018 - Springer
Ion shot noise, the noise associated to the random passage of ions across the cell
membrane, is studied by means of a stochastic model based on the Hodgkin–Huxley …

Identification and continuity of the distributions of burst-length and interspike intervals in the stochastic Morris-Lecar neuron

PF Rowat, PE Greenwood - Neural computation, 2011 - direct.mit.edu
Abstract Using the Morris-Lecar model neuron with a type II parameter set and K+-channel
noise, we investigate the interspike interval distribution as increasing levels of applied …

Noise induced synchronization in a neuronal oscillator

K Pakdaman, D Mestivier - Physica D: Nonlinear Phenomena, 2004 - Elsevier
Neuronal oscillators engage into quasiperiodic or phase locked discharges when driven by
a weak periodic signal. These responses contrast with those evoked by weak aperiodic …

Characterization of subthreshold voltage fluctuations in neuronal membranes

M Rudolph, A Destexhe - Neural Computation, 2003 - direct.mit.edu
Synaptic noise due to intense network activity can have a significant impact on the
electrophysiological properties of individual neurons. This is the case for the cerebral cortex …