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# Mixed-mode oscillations and interspike interval statistics in the stochastic FitzHugh-Nagumo model

@inproceedings{Berglund2011MixedmodeOA, title={Mixed-mode oscillations and interspike interval statistics in the stochastic FitzHugh-Nagumo model}, author={Nils Berglund and Damien Landon}, year={2011} }

- Published 2011
DOI:10.1088/0951-7715/25/8/2303

We study the stochastic FitzHugh–Nagumo equations, modelling the dynamics of neuronal action potentials, in parameter regimes characterised by mixed-mode oscillations. The interspike time interval is related to the random number of small-amplitude oscillations separating consecutive spikes. We prove that this number has an asymptotically geometric distribution, whose parameter is related to the principal eigenvalue of a substochastic Markov chain. We provide rigorous bounds on this eigenvalue… CONTINUE READING

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