Motoneuron membrane potentials follow a time inhomogeneous jump diffusion process
P Jahn, RW Berg, J Hounsgaard… - Journal of computational …, 2011 - Springer
Stochastic leaky integrate-and-fire models are popular due to their simplicity and statistical
tractability. They have been widely applied to gain understanding of the underlying …
tractability. They have been widely applied to gain understanding of the underlying …
Parameters of the diffusion leaky integrate-and-fire neuronal model for a slowly fluctuating signal
Stochastic leaky integrate-and-fire (LIF) neuronal models are common theoretical tools for
studying properties of real neuronal systems. Experimental data of frequently sampled …
studying properties of real neuronal systems. Experimental data of frequently sampled …
How membrane properties shape the discharge of motoneurons: a detailed analytical study
C Meunier, K Borejsza - Neural computation, 2005 - ieeexplore.ieee.org
Electrophysiological experiments and modeling studies have shown that after
hyperpolarization regulates the discharge of lumbar motoneurons in anesthetized cats and …
hyperpolarization regulates the discharge of lumbar motoneurons in anesthetized cats and …
Gaussian process approach to spiking neurons for inhomogeneous Poisson inputs
This article presents a new theoretical framework to consider the dynamics of a stochastic
spiking neuron model with general membrane response to input spike. We assume that the …
spiking neuron model with general membrane response to input spike. We assume that the …
The parameters of the stochastic leaky integrate-and-fire neuronal model
P Lansky, P Sanda, J He - Journal of Computational Neuroscience, 2006 - Springer
Five parameters of one of the most common neuronal models, the diffusion leaky integrate-
and-fire model, also known as the Ornstein-Uhlenbeck neuronal model, were estimated on …
and-fire model, also known as the Ornstein-Uhlenbeck neuronal model, were estimated on …
Firing time statistics for driven neuron models: analytic expressions versus numerics
M Schindler, P Talkner, P Hänggi - Physical review letters, 2004 - APS
Analytical expressions are put forward to investigate the forced spiking activity of abstract
neuron models such as the driven leaky integrate-and-fire model. The method is valid in a …
neuron models such as the driven leaky integrate-and-fire model. The method is valid in a …
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, we investigate the interspike interval distribution as increasing levels of applied …
A diffusion approximation and numerical methods for adaptive neuron models with stochastic inputs
R Rosenbaum - Frontiers in computational neuroscience, 2016 - frontiersin.org
Characterizing the spiking statistics of neurons receiving noisy synaptic input is a central
problem in computational neuroscience. Monte Carlo approaches to this problem are …
problem in computational neuroscience. Monte Carlo approaches to this problem are …
Theory of spike-train power spectra for multidimensional integrate-and-fire neurons
Multidimensional stochastic integrate-and-fire (IF) models are a standard spike-generator
model in studies of firing variability, neural information transmission, and neural network …
model in studies of firing variability, neural information transmission, and neural network …
Rate dynamics of leaky integrate-and-fire neurons with strong synapses
E Nordlie, T Tetzlaff, GT Einevoll - Frontiers in computational …, 2010 - frontiersin.org
Firing-rate models provide a practical tool for studying the dynamics of trial-or population-
averaged neuronal signals. A wealth of theoretical and experimental studies has been …
averaged neuronal signals. A wealth of theoretical and experimental studies has been …