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 …

A detailed study of the asymptotic behavior of the first-passage-time pdf and its moments is
carried out for an unrestricted conditional Ornstein-Uhlenbeck process and for a constant …

The first-passage-time pdf through a time-dependent boundary for one-dimensional
diffusion processes is proved to satisfy a new Volterra integral equation of the second kind …

The role of stochastic diffusion processes for modeling purposes is discussed. Special
emphasis is put on neuronal firing problems and on the description of popula tion dynamics …

The asymptotic behaviour of the first-passage-time pdf through a constant boundary for an
Ornstein–Uhlenbeck process is investigated for large boundaries. It is shown that an …

We prove that for a diffusion process the first-passage-time pdf through a continuous-time
function with bounded derivative satisfies a Volterra integral equation of the second kind …

A reliable Monte Carlo method for the evaluation of first passage times of diffusion
processes through boundaries is proposed. A nested algorithm that simulates the first …

We show that the transition pdf of the Ornstein–Uhlenbeck process with a reflection
condition at an assigned state S is related by integral-type equations to the free transition …

Neutron-deficient isotopes with Z= 21 to 26 have been produced as projectile-like fragments
of an intense 58 Ni GANIL beam of 69 MeV/nucleon. The nuclei selected by the upgraded …

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 …