Integrate and fire model with refractory period for synchronization of two cardiomyocytes

Tatsuya Hayashi, Tetsuji Tokihiro, Hiroki Kurihara, Fumimasa Nomura, Kenji Yasuda

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    Abstract

    We investigate an integrate and fire model for two cardiomyocytes interacting with each other. A feature of the model is to incorporate the refractory periods of the cardiomyocytes as well as the influence of firing of adjacent cells. The present model predicts that, if refractory periods of the two cells are nearly equal, the beating rhythms of the two cells always synchronize and their beating rate is tuned to the faster rate between the two cells. On the other hand, if their refractory periods significantly differ, they exhibit various kinds of harmonious beating rhythms. These results successfully explain the well known characteristics of synchronized beating of cultured cardiomyocytes. We also discuss effects of a delay time of cell-to-cell interaction, that gives further complicated phase diagrams for the beating rhythms.

    Original languageEnglish
    Pages (from-to)141-148
    Number of pages8
    JournalJournal of Theoretical Biology
    Volume437
    DOIs
    Publication statusPublished - 2018 Jan 21

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    Keywords

    • Cardiac muscle cell
    • Integrate-and-fire model
    • Phase model
    • Reflective period
    • Synchronization

    ASJC Scopus subject areas

    • Statistics and Probability
    • Modelling and Simulation
    • Biochemistry, Genetics and Molecular Biology(all)
    • Immunology and Microbiology(all)
    • Agricultural and Biological Sciences(all)
    • Applied Mathematics

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