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Related Experiment Videos

Beyond a pacemaker's entrainment limit: phase walk-through.

G B Ermentrout, J Rinzel

    The American Journal of Physiology
    |January 1, 1984
    PubMed
    Summary

    External stimulation can cause pacemaker desynchronization, leading to phase walk-through. A new model shows beat frequency isn't always linear with frequency differences, offering insights into pacemaker behavior.

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    Area of Science:

    • Nonlinear dynamics
    • Physiological modeling
    • Biophysics

    Background:

    • Pacemakers can become desynchronized when external stimulation exceeds their entrainment limit.
    • This desynchronization can manifest as phase walk-through, where the phase difference cycles through all values.

    Purpose of the Study:

    • To qualitatively describe entrainment, loss of entrainment, and phase walk-through in rhythmically stimulated pacemakers.
    • To derive an expression for the cycle length of repetitive phase walk-through.
    • To investigate the relationship between beat frequency and frequency differences.

    Main Methods:

    • Development of a simple, nonlinear one-variable model.
    • Qualitative analysis of pacemaker stimulation dynamics.
    • Mathematical derivation of phase walk-through cycle length.

    Main Results:

    • The model captures entrainment, loss of entrainment, and phase walk-through phenomena.
    • An expression for the phase walk-through cycle length was derived.
    • Beat frequency is not generally a simple linear function of pacemaker and stimulus frequency differences.

    Conclusions:

    • The study provides a model for understanding pacemaker desynchronization and phase walk-through.
    • The derived beat frequency relationship offers a more nuanced view than simpler models.
    • Findings are applicable to various rhythmically stimulated systems, including biological pacemakers like the firefly.

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