Simplified neuronal models capture the essence of the electrical activity of a generic neuron,
besides being more interesting from the computational point of view when compared to …

Cortical neurons are exposed to a considerable amount of synaptic background activity,
which increases the neurons' conductance and which leads to a fluctuating membrane …

The effects of noise on neuronal dynamical systems are of much current interest. Here, we
investigate noise-induced changes in the rhythmic firing activity of single Hodgkin–Huxley …

The random transitions of ion channels between open and closed states are a major source
of noise in neurons. In this study, we investigate the stochastic dynamics of a single Hodgkin …

Ion channel stochasticity can influence the voltage dynamics of neuronal membrane, with
stronger effects for smaller patches of membrane because of the correspondingly smaller …

We consider the response of the classical Hodgkin–Huxley (HH) spatial system in the weak
to intermediate noise regime near the bifurcation to repetitive spiking. The deterministic …

Channel noise, which is generated by the random transitions of ion channels between open
and closed states, is distinguished from external sources of physiological variability such as …

We have examined the effects of current and conductance noise in a single-neuron model
which can generate a variety of physiologically important impulse patterns. Current noise …

We explore the impact of spatially correlated noise on neuronal firing when uncoupled
Hodgkin-Huxley model neurons are subjected to a common subthreshold signal. Noise can …

Abstract When the classical Hodgkin-Huxley equations are simulated with Na-and K-
channel noise and constant applied current, the distribution of interspike intervals is …