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arXiv · 2302.12852

Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal

Mattia Sensi·Mathieu Desroches·Serafim Rodrigues
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Abstract

We propose a generalization of the neurotransmitter release model proposed in \emph{Rodrigues et al. (PNAS, 2016)}. We increase the complexity of the underlying slow-fast system by considering a degree-four polynomial as parametrization of the critical manifold. We focus on the possible transient and asymptotic dynamics, exploiting the so-called entry-exit function to describe slow parts of the dynamics. We provide extensive numerical simulations, complemented by numerical bifurcation analysis.

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Mattia Sensi, Mathieu Desroches, Serafim Rodrigues. 2023-02-24. Slow-fast dynamics in a neurotransmitter release model: delayed response to a time-dependent input signal. https://doi.org/10.1016/j.physd.2023.133887

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