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Dynamical behavior of a pacemaker neuron model with fixed delay stimulation.

L Gómez1, R Budelli, K Pakdaman

  • 1Sección Biomatemática, Facultad de Ciencias, Universidad de la República, Iguá 4225, Montevideo 11400, Uruguay.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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Recurrent excitation in biological oscillators, like pacemaker cells, can significantly slow down firing rates. This study reveals how feedback influences pacemaker cell activity, contrasting with previous findings.

Area of Science:

  • Computational Neuroscience
  • Biophysics
  • Systems Biology

Background:

  • Biological oscillators, including pacemaker cells, are crucial in physiological and pathological states.
  • These oscillators often function under the influence of feedback mechanisms.
  • Fixed delay stimulation is a common experimental approach to study feedback effects.

Purpose of the Study:

  • To investigate the impact of recurrent excitation on biological oscillator dynamics.
  • To analyze how fixed delay stimulation affects pacemaker cell firing patterns.
  • To elucidate the underlying mechanisms of oscillator behavior under perturbation.

Main Methods:

  • Utilized the Hodgkin-Huxley model to simulate pacemaker cell behavior.
  • Analyzed the dynamics of a two-dimensional Poincaré oscillator model.

Related Experiment Videos

  • Examined the effects of fixed delay perturbation on oscillator discharge patterns.

    • Main Results:

    • Recurrent excitation can induce regular and irregular discharge trains.
    • Interdischarge intervals can extend to multiples of the oscillator's natural period.
    • Demonstrated a significant slowing down of pacemaker cell firing rates.

    Conclusions:

    • Recurrent excitation can drastically alter pacemaker cell firing, leading to slower discharge.
    • This finding challenges previous reports of bursting patterns under fixed delay stimulation.
    • The study provides insights into the mechanisms governing oscillator responses to feedback.