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International conference in honor of the 90th Birthday of Constantin Corduneanu, Ekaterinburg, Russia

CONCORD-90 2018: Mathematical Analysis With Applications pp 253–264Cite as

The Peculiarities of Calcium Sparks Formation in Cardiac Cells in Silico

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 318))

Abstract

Calcium plays a major role in excitation-contraction coupling providing a link between action potential generation and a cell contraction. Local spontaneous calcium releases (spontaneous sparks) from intracellular storage (sarcoplasmic reticulum) are the manifestation of the self-sustaining behavior of the \(\mathrm {Ca^{2+}}\) release system so-called \(\mathrm {Ca^{2+}}\)-clock. Recent experiments show that periodic sparks can turn into leaky mode in violation of a sustainable \(\mathrm {Ca^{2+}}\)-clock regime. This paper is a report on our computer modeling of spontaneous \(\mathrm {Ca^{2+}}\) sparks formation-spread-termination in different conditions. Simulations reveal that conformational interactions as well as calcium-mediated coupling between \(\mathrm {Ca^{2+}}\) releasing ryanodine receptors can lead to disturbances of the autooscillatory regime of the \(\mathrm {Ca^{2+}}\) release system.

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Acknowledgements

The project is supported by RFBR grant 16-34-60223. The work was carried out within the framework of the IIF UrB RAS theme No AAAA-A18-118020590031-8 and RF Government Act 211 of March 16, 2013 (agreement 02.A03.21.0006).

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Authors and Affiliations

  1. Ural Federal University, Yekaterinburg, Russia

    N. S. Markov & A. M. Ryvkin

  2. Institute of Immunology and Physiology UrB RAS, Yekaterinburg, Russia

    A. M. Ryvkin

Authors
  1. N. S. Markov
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  2. A. M. Ryvkin
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Corresponding author

Correspondence to N. S. Markov .

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Editors and Affiliations

  1. Department of Exact Sciences and Engineering, Portuguese Military Academy, Amadora, Portugal

    Sandra Pinelas

  2. Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

    Arkadii Kim

  3. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia

    Victor Vlasov

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Markov, N.S., Ryvkin, A.M. (2020). The Peculiarities of Calcium Sparks Formation in Cardiac Cells in Silico. In: Pinelas, S., Kim, A., Vlasov, V. (eds) Mathematical Analysis With Applications. CONCORD-90 2018. Springer Proceedings in Mathematics & Statistics, vol 318. Springer, Cham. https://doi.org/10.1007/978-3-030-42176-2_25

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