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On the dynamics of axonal membrane: Ion channel as the basic unit of a deterministic model

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  • Correale, T.G.
  • Monteiro, L.H.A.

Abstract

Here we propose a deterministic model for computing the electric potential of axonal membrane, based on simplifications of the properties of its ion channels. The model can reproduce typical dynamic behaviors, like passive (exponential) decay, generation and propagation of action potentials, and frequency adaptation. Numerical results are compared to theoretical analyses and experimental data, showing good agreement.

Suggested Citation

  • Correale, T.G. & Monteiro, L.H.A., 2016. "On the dynamics of axonal membrane: Ion channel as the basic unit of a deterministic model," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 292-302.
    • Handle: RePEc:eee:apmaco:v:291:y:2016:i:c:p:292-302
    DOI: 10.1016/j.amc.2016.07.006
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    References listed on IDEAS

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    1. Avella, Oscar Javier & Muñoz, José Daniel & Fayad, Ramón, 2008. "Simulation of miniature endplate potentials in neuromuscular junctions by using a cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 694-702.
    2. Buonocore, A. & Caputo, L. & Nobile, A.G. & Pirozzi, E., 2014. "Gauss–Markov processes in the presence of a reflecting boundary and applications in neuronal models," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 799-809.
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    Cited by:

    1. Correale, T.G. & Monteiro, L.H.A., 2017. "Typical frequency-current curves of neurons obtained from a model based on cellular automaton," Applied Mathematics and Computation, Elsevier, vol. 304(C), pages 136-141.
    2. Charcon, D.Y. & Monteiro, L.H.A., 2020. "A multi-agent system to predict the outcome of a two-round election," Applied Mathematics and Computation, Elsevier, vol. 386(C).

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