… Applying the Inverse First Passage Time Algorithm we then … the OrnsteinUhlenbeck
process. The choice of this diffusion … in an OrnsteinUhlenbeck neuronal model,” Sci. Math. Jpn. …

… represents the time average of the neural voltage in the interval [0… Furthermore, as an
application in Economy, one can … On the contrary, our approach is based on the properties of …

… To apply this method, the starting point is the availability of a … from two fields of application
of the IGBM: neuronal modeling … depolarization between two consecutive neuronal spikes in …

… We speak of a first-passage time when the random variable … Problems such as neuron
dynamics, self-organized criticality, or … Ornstein-Uhlenbeck process in one dimension [27]. Using …

… the spike corresponds to its first passage time to a boundary, … We also apply this technique
to spike trains simulated from … are the Wiener and Ornstein-Uhlenbeck processes; the latter …

… for neuron activity [Citation17; Citation18]. It … methods were applied to Ornstein-Uhlenbeck
process (OU), by using a suitable space-time transformation which changes the OU process …

… (spike time distribution of an integrate-and-fire neuron with … the approximation method of
the first hitting time of the IWP to … In this subsection we apply Girsanov’s theorem to transform …

… We find the first passage time density given ISIs using numerical … the neuron follows a
reflected Ornstein-Uhlenbeck process, we study the first-passage time (FPT) density of this process …

… The Wiener process and the OrnsteinUhlenbeck process are idealized statistical descriptions
that apply to many … This process can also be used to model a neuron with an exponential …

… method solves a Volterra integral e kind derived from the Fortet equation but characterized
by a no Section 7 we apply this method … in an Ornstein-Uhlenbeck neuronal model. Sci. Math. …