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The interaction of the membrane and calcium oscillators in cardiac pacemaker cells: Mathematical modeling

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Abstract

An integrative model of the calcium dynamics in cardiac pacemaker cells is developed taking the synergetic effect of the coupling of the membrane and the intracellular calcium oscillators (“membrane and Ca2+ clock”) into account. The main feature of the model is a description of the stochastic dynamics of Ca2+ release units within the electron-conformational dynamics of ryanodine channels (RyR-channels). It is shown that interaction of the cellular oscillators provides stable action-potential generation in cardiac pacemaker cells, even in the case of stochastic Ca2+ dynamics. We studied the effect of RyR sensitivity to the intracellular calcium concentration in the sarcoplasmic reticulum and in the dyadic space on the behavior of the calcium-release system in detail. A parametric analysis of an integrative model of pacemaker cells was performed.

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Authors and Affiliations

  1. Ural Federal University, ul. Mira 19, Ekaterinburg, 620002, Russia

    A. M. Ryvkin, N. M. Zorin, A. S. Moskvin & O. E. Solovyova

  2. Institute of Immunology and Physiology, Ural Branch, Russian Academy of Sciences, ul. Pervomayskaya 106, Ekaterinburg, 620049, Russia

    A. M. Ryvkin, O. E. Solovyova & V. S. Markhasin

  3. Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. Sofyi Kovalevskoy 106, Ekaterinburg, 620049, Russia

    O. E. Solovyova

Authors
  1. A. M. Ryvkin
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  2. N. M. Zorin
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  3. A. S. Moskvin
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  4. O. E. Solovyova
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  5. V. S. Markhasin
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Corresponding author

Correspondence to A. M. Ryvkin.

Additional information

Original Russian Text © A.M. Ryvkin, N.M. Zorin, A.S. Moskvin, O.E. Solovyova, V.S. Markhasin, 2015, published in Biofizika, 2015, Vol. 60, No. 6, pp. 1138–1145.

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Ryvkin, A.M., Zorin, N.M., Moskvin, A.S. et al. The interaction of the membrane and calcium oscillators in cardiac pacemaker cells: Mathematical modeling. BIOPHYSICS 60, 946–952 (2015). https://doi.org/10.1134/S0006350915060214

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  • DOI: https://doi.org/10.1134/S0006350915060214

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