Calcium-channel noise significantly alters the beat-to-beat dynamics of cardiac cells, perturbing Hopf bifurcations into disordered regions and linking high-frequency power spectra peaks to period-doubling orbits.
May not alter clinical arrhythmia management; hypothesis-generating for noise effects on cardiac cell dynamics in models.
We study a simple discrete model with the impact of calcium-channel noise on the beat-to-beat dynamics of cardiac cells. The effects of the noise are assessed by bifurcation analysis and power spectrum analysis, respectively. It is shown that this model can undergo period-doubling bifurcation and Hopf bifurcation if there are not random perturbations. Under random perturbations, the period-doubling bifurcations of the model can be observed, and the invariant curve from Hopf bifurcation is perturbed to an annulus on the plane and then becomes a totally disordered and randomly scattered region. By the power spectrum analysis, we find that the existence of high-frequency peak in the power spectra links to the period-doubling orbits, while the existence of low-frequency peak corresponds to quasiperiodic orbit.
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Ma et al. (2013) studied this question.
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