A first-passage-time analysis of the periodically forced noisy leaky integrate-and-fire model

@article{Shimokawa2000AFA,
  title={A first-passage-time analysis of the periodically forced noisy leaky integrate-and-fire model},
  author={Tetsuya Shimokawa and Khashayar Pakdaman and Takayuki Takahata and Seiji Tanabe and Shunsuke Sato},
  journal={Biological Cybernetics},
  year={2000},
  volume={83},
  pages={327-340}
}
We present a general method for the analysis of the discharge trains of periodically forced noisy leaky integrate-and-fire neuron models. This approach relies on the iterations of a stochastic phase transition operator that generalizes the phase transition function used for the study of periodically forced deterministic oscillators to noisy systems. The kernel of this operator is defined in terms of the the first passage time probability density function of the Ornstein Uhlenbeck process… CONTINUE READING