Estimation of the input parameters in the Feller neuronal model
S Ditlevsen, P Lansky - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
The stochastic Feller neuronal model is studied, and estimators of the model input
parameters, depending on the firing regime of the process, are derived. Closed expressions …
parameters, depending on the firing regime of the process, are derived. Closed expressions …
Estimation of the input parameters in the Ornstein-Uhlenbeck neuronal model
S Ditlevsen, P Lansky - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
The stochastic Ornstein-Uhlenbeck neuronal model is studied, and estimators of the model
input parameters, depending on the firing regime of the process, are derived. Closed …
input parameters, depending on the firing regime of the process, are derived. Closed …
Estimating input parameters from intracellular recordings in the Feller neuronal model
E Bibbona, P Lansky, R Sirovich - … Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We study the estimation of the input parameters in a Feller neuronal model from a trajectory
of the membrane potential sampled at discrete times. These input parameters are identified …
of the membrane potential sampled at discrete times. These input parameters are identified …
A review of the methods for signal estimation in stochastic diffusion leaky integrate-and-fire neuronal models
P Lansky, S Ditlevsen - Biological cybernetics, 2008 - Springer
Parameters in diffusion neuronal models are divided into two groups; intrinsic and input
parameters. Intrinsic parameters are related to the properties of the neuronal membrane and …
parameters. Intrinsic parameters are related to the properties of the neuronal membrane and …
On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity
P Lánský, L Sacerdote, F Tomassetti - Biological cybernetics, 1995 - Springer
Diffusion processes have been extensively used to describe membrane potential behavior.
In this approach the interspike interval has a theoretical counterpart in the first-passage-time …
In this approach the interspike interval has a theoretical counterpart in the first-passage-time …
The Ornstein-Uhlenbeck process as a model for neuronal activity: I. Mean and variance of the firing time
LM Ricciardi, L Sacerdote - Biological cybernetics, 1979 - Springer
Mean and variance of the first passage time through a constant boundary for the Ornstein-
Uhlenbeck process are determined by a straight-forward differentiation of the Laplace …
Uhlenbeck process are determined by a straight-forward differentiation of the Laplace …
On the return process with refractoriness for a non-homogeneous Ornstein-Uhlenbeck neuronal model
An Ornstein-Uhlenbeck diffusion process is considered as a model for the membrane
potential activity of a single neuron. We assume that the neuron is subject to a sequence of …
potential activity of a single neuron. We assume that the neuron is subject to a sequence of …
A neuronal modeling paradigm in the presence of refractoriness
A mathematical characterization of the membrane potential as an instantaneous return
process in the presence of refractoriness is investigated for diffusion models of single …
process in the presence of refractoriness is investigated for diffusion models of single …
Diffusion approximation and first passage time problem for a model neuron
RM Capocelli, LM Ricciardi - Kybernetik, 1971 - Springer
A diffusion equation for the transition pdf describing the time evolution of the membrane
potential for a model neuron, subjected to a Poisson input, is obtained, without breaking up …
potential for a model neuron, subjected to a Poisson input, is obtained, without breaking up …
The effect of a random initial value in neural first-passage-time models
P Lánský, CE Smith - Mathematical biosciences, 1989 - Elsevier
The effect of a random initial value is examined in several stochastic integrate-and-fire
neural models with a constant threshold and a constant input. The three models considered …
neural models with a constant threshold and a constant input. The three models considered …