… a two dimensional Gauss-Markov diffusion process. We investigate the boundary shape
corresponding to Inverse Gaussian or Gamma first passage time … Applications in neuroscience …

… The estimation method is a direct application of the Fortet … an OU process acting between
two consecutive neuronal firings… ∞ e − 1 2 ( 2 γ u ) 2 d γ u = π γ e − γ = 2 π β s exp ( − 1 2 β 2 s ) …

… , and especially by LIF neuronal models, we take up afresh the FPT problem for Gauss-diffusion
processes both via space-time transformations to the OrnsteinUhlenbeck process and in …

… most common on both application of artificial neural network and … numerical methods for the
first passage time problem have … Recall that the first derivative of an inverse function can be …

… –Uhlenbeck process. The … The study of this kind of processes opened our mind to some
applications … finite value in the opposite case (in the worst cases, the first passage will take place …

… methodology for diffusion processes and first passage time … The Wiener process and the
OrnsteinUhlenbeck process … met in applications of diffusion processes in neural modeling …

… with direct application in the modeling of neural encoding of … of two simple neuronal models
using the analytical approach. … Among all these models, the Ornstein-Uhlenbeck process …

… , in both artificial neural network applications and descriptions of … which is known as the
inverse Gaussian distribution in the … of the firstpassage time of the OU process through a constant …

… are related to neuronal modelling, but application in other … The basic simulation techniques
are presented here and adaptive … first-passage time is overestimated if computed as the time …

… Methods to solve the first passage time problems, both of a theoretical and of a … Ornstein
Uhlenbeck neuronal model because of its analogy with the model used by these two …