Slow dynamics of neuronal excitability under pulse stimulation

2011/05/06 by Daniel Soudry, Soudry, Daniel, Ron Meir +1
Computer Science · Neuroscience · Physics and Astronomy · #Cell Behavior (q-bio.CB) #FOS: Biological sciences #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1105.1275

openalex publication_date 2011/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Neurons fire irregularly on multiple timescales when stimulated with a periodic pulse train. This raises two questions: Does this irregularity imply significant intrinsic stochasticity? Can existing neuron models be readily extended to describe behavior at long timescales? We show here that for commonly studied neuronal models, dynamics is not chaotic and can only produce stable and periodic firing patterns. This is done by transforming the neuron model to an analytically tractable piecewise linear discrete map. Thus we answer "yes" and "no" to the above questions, respectively.

Citations

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