Mathematical models are an important tool for neuroscientists. During the last 30 years
many papers have appeared on single neuron description and specifically on stochastic …

Visual psychophysics has shown that the perceptual representation of a stimulus has
complex time-varying properties that depend on the response characteristics of the channel …

The dynamics of the standard integrate-fire model and a simpler model (that reproduces the
important features of the integrate-fire model under certain conditions) of neural dynamics …

In this paper we formulate a dynamic model expressing the human life table data by using
the first‐passage‐time theory for a stochastic process. The model is derived analytically and …

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 …

Abstract For the Ornstein-Uhlenbeck neuronal model a quantitative method is proposed for
the estimation of the two parameters characterizing the unkown input process, namely the …

Motivated by some unsolved problems of biological interest, such as the description of firing
probability densities for Leaky Integrate-and-Fire neuronal models, we consider the first …

Abstract Restricted Gauss–Markov processes are used to construct inhomogeneous leaky
integrate-and-fire stochastic models for single neurons activity in the presence of a lower …

In this paper we characterize the distribution of the first exit time from an arbitrary open set
for a class of semi-Markov processes obtained as time-changed Markov processes. We …

We study a white-noise driven integrate-and-fire (IF) neuron with a time-dependent
threshold. We give analytical expressions for mean and variance of the interspike interval …