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

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

doi:10.1016/j.jtbi.2017.10.008

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

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

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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 language	English
Pages (from-to)	141-148
Number of pages	8
Journal	Journal of Theoretical Biology
Volume	437
DOIs	https://doi.org/10.1016/j.jtbi.2017.10.008
Publication status	Published - 2018 Jan 21

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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10.1016/j.jtbi.2017.10.008

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title = "Integrate and fire model with refractory period for synchronization of two cardiomyocytes",

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.",

keywords = "Cardiac muscle cell, Integrate-and-fire model, Phase model, Reflective period, Synchronization",

author = "Tatsuya Hayashi and Tetsuji Tokihiro and Hiroki Kurihara and Fumimasa Nomura and Kenji Yasuda",

note = "Funding Information: The authors would like to thank Dr. Hideyuki Terazono and Dr. Guanyu Zhou for valuable comments. A part of this work is supported by Core Research for Evolutional Science and Technology (CREST) of the Japan Science and Technology Agency (JST), Japan, and by Platform for Dynamic Approaches to Living System from the Ministry of Education, Culture, Sports, Science and Technology, Japan. Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2018",

month = jan,

day = "21",

doi = "10.1016/j.jtbi.2017.10.008",

language = "English",

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T1 - Integrate and fire model with refractory period for synchronization of two cardiomyocytes

AU - Hayashi, Tatsuya

AU - Tokihiro, Tetsuji

AU - Kurihara, Hiroki

AU - Nomura, Fumimasa

AU - Yasuda, Kenji

N1 - Funding Information: The authors would like to thank Dr. Hideyuki Terazono and Dr. Guanyu Zhou for valuable comments. A part of this work is supported by Core Research for Evolutional Science and Technology (CREST) of the Japan Science and Technology Agency (JST), Japan, and by Platform for Dynamic Approaches to Living System from the Ministry of Education, Culture, Sports, Science and Technology, Japan. Publisher Copyright: © 2017 Elsevier Ltd

PY - 2018/1/21

Y1 - 2018/1/21

N2 - 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.

AB - 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.

KW - Cardiac muscle cell

KW - Integrate-and-fire model

KW - Phase model

KW - Reflective period

KW - Synchronization

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SP - 141

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JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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