Multimodal transition and excitability of a neural oscillator
Biological Physics
2023-07-19 v2 Neurons and Cognition
Abstract
We analyze the response of the Morris-Lecar model to a periodic train of short current pulses in the period-amplitude plane. For a wide parameter range encompassing both class 2 and class 3 behavior in Hodgkin's classification there is a multimodal transition between the set of odd modes and the set of all modes. It is located between the 2:1 and 3:1 locked-in regions. It is the same dynamic instability as the one discovered earlier in the Hodgkin-Huxley model and observed experimentally in squid giant axons. It appears simultaneously with the bistability of the states 2:1 and 3:1 in the perithreshold regime. These results imply that the multimodal transition may be a universal property of resonant neurons.
Keywords
Cite
@article{arxiv.1109.2893,
title = {Multimodal transition and excitability of a neural oscillator},
author = {L. S. Borkowski},
journal= {arXiv preprint arXiv:1109.2893},
year = {2023}
}