Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628091 | Applied Mathematics and Computation | 2014 | 11 Pages |
Abstract
Gauss-Markov processes restricted from below by special reflecting boundaries are considered and the transition probability density functions are determined. Furthermore, the first-passage time density through a time-dependent threshold is studied by using analytical, numerical and asymptotic methods. The restricted Gauss-Markov processes are then used to construct inhomogeneous leaky integrate-and-fire stochastic models for single neurons activity in the presence of a reversal hyperpolarization potential and time-varying input signals.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Buonocore, L. Caputo, A.G. Nobile, E. Pirozzi,