### Abstract

The isolated beating cells have different intrinsic excitatory period interval with fluctuation. The excitatory conduction between the beating cells synchronizes with time when such beating cells formed a cellular clot, which eventually shows single excitatory period interval. However, as of yet, it is not clear how the beating cell regulates the excitatory action of other cells. On the other hand, FitzHugh, Nagumo et al. and Hodgkin et al. proposed a kinetic mathematical model which made it possible to realize the excitatory action numerically. The numerical simulation makes it possible to analyze several effects of the excitatory period interval on the synchronization based on the experimentally observed data, so it is useful for elucidation of a mechanism of the synchronization. In the current study, with employing a kinetic mathematical model for the excitatory conduction, we developed a novel numerical simulator for which excitatory wave propagates on a two-dimensional cellular matrix, and numerically analyzed an interference of excitatory conduction. In addition, we verified several effects of both average and fluctuation for the excitatory period interval on the synchronization of excitatory conduction. Our proposed numerical simulator constructed by employing Barkley's model qualitatively realized a synchronization of excitatory conduction between beating cells. The synchronization of excitatory conduction was regulated by single cell for which both the average and standard deviation for excitatory period interval is smaller than those of other cells. As a result, it was clear that both the average and the standard deviation for the excitatory period interval played an important role in the synchronization of excitatory conduction between beating cells. Therefore, a consideration of both the average and the standard deviation for excitatory period interval is indispensable to elucidation of a mechanism of the synchronization between beating cells.

Original language | English |
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Title of host publication | World Congress on Medical Physics and Biomedical Engineering |

Subtitle of host publication | Image Processing, Biosignal Processing, Modelling and Simulation, Biomechanics |

Pages | 1857-1860 |

Number of pages | 4 |

Edition | 4 |

DOIs | |

Publication status | Published - Dec 1 2009 |

Event | World Congress on Medical Physics and Biomedical Engineering: Image Processing, Biosignal Processing, Modelling and Simulation, Biomechanics - Munich, Germany Duration: Sep 7 2009 → Sep 12 2009 |

### Publication series

Name | IFMBE Proceedings |
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Number | 4 |

Volume | 25 |

ISSN (Print) | 1680-0737 |

### Other

Other | World Congress on Medical Physics and Biomedical Engineering: Image Processing, Biosignal Processing, Modelling and Simulation, Biomechanics |
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Country | Germany |

City | Munich |

Period | 9/7/09 → 9/12/09 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Bioengineering
- Biomedical Engineering

### Cite this

*World Congress on Medical Physics and Biomedical Engineering: Image Processing, Biosignal Processing, Modelling and Simulation, Biomechanics*(4 ed., pp. 1857-1860). (IFMBE Proceedings; Vol. 25, No. 4). https://doi.org/10.1007/978-3-642-03882-2-493

**Numerical simulation for synchronization of excitatory action between beating cells.** / Hamada, H.; Tada, A.; Iwamoto, K.; Okamoto, M.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*World Congress on Medical Physics and Biomedical Engineering: Image Processing, Biosignal Processing, Modelling and Simulation, Biomechanics.*4 edn, IFMBE Proceedings, no. 4, vol. 25, pp. 1857-1860, World Congress on Medical Physics and Biomedical Engineering: Image Processing, Biosignal Processing, Modelling and Simulation, Biomechanics, Munich, Germany, 9/7/09. https://doi.org/10.1007/978-3-642-03882-2-493

}

TY - GEN

T1 - Numerical simulation for synchronization of excitatory action between beating cells

AU - Hamada, H.

AU - Tada, A.

AU - Iwamoto, K.

AU - Okamoto, M.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - The isolated beating cells have different intrinsic excitatory period interval with fluctuation. The excitatory conduction between the beating cells synchronizes with time when such beating cells formed a cellular clot, which eventually shows single excitatory period interval. However, as of yet, it is not clear how the beating cell regulates the excitatory action of other cells. On the other hand, FitzHugh, Nagumo et al. and Hodgkin et al. proposed a kinetic mathematical model which made it possible to realize the excitatory action numerically. The numerical simulation makes it possible to analyze several effects of the excitatory period interval on the synchronization based on the experimentally observed data, so it is useful for elucidation of a mechanism of the synchronization. In the current study, with employing a kinetic mathematical model for the excitatory conduction, we developed a novel numerical simulator for which excitatory wave propagates on a two-dimensional cellular matrix, and numerically analyzed an interference of excitatory conduction. In addition, we verified several effects of both average and fluctuation for the excitatory period interval on the synchronization of excitatory conduction. Our proposed numerical simulator constructed by employing Barkley's model qualitatively realized a synchronization of excitatory conduction between beating cells. The synchronization of excitatory conduction was regulated by single cell for which both the average and standard deviation for excitatory period interval is smaller than those of other cells. As a result, it was clear that both the average and the standard deviation for the excitatory period interval played an important role in the synchronization of excitatory conduction between beating cells. Therefore, a consideration of both the average and the standard deviation for excitatory period interval is indispensable to elucidation of a mechanism of the synchronization between beating cells.

AB - The isolated beating cells have different intrinsic excitatory period interval with fluctuation. The excitatory conduction between the beating cells synchronizes with time when such beating cells formed a cellular clot, which eventually shows single excitatory period interval. However, as of yet, it is not clear how the beating cell regulates the excitatory action of other cells. On the other hand, FitzHugh, Nagumo et al. and Hodgkin et al. proposed a kinetic mathematical model which made it possible to realize the excitatory action numerically. The numerical simulation makes it possible to analyze several effects of the excitatory period interval on the synchronization based on the experimentally observed data, so it is useful for elucidation of a mechanism of the synchronization. In the current study, with employing a kinetic mathematical model for the excitatory conduction, we developed a novel numerical simulator for which excitatory wave propagates on a two-dimensional cellular matrix, and numerically analyzed an interference of excitatory conduction. In addition, we verified several effects of both average and fluctuation for the excitatory period interval on the synchronization of excitatory conduction. Our proposed numerical simulator constructed by employing Barkley's model qualitatively realized a synchronization of excitatory conduction between beating cells. The synchronization of excitatory conduction was regulated by single cell for which both the average and standard deviation for excitatory period interval is smaller than those of other cells. As a result, it was clear that both the average and the standard deviation for the excitatory period interval played an important role in the synchronization of excitatory conduction between beating cells. Therefore, a consideration of both the average and the standard deviation for excitatory period interval is indispensable to elucidation of a mechanism of the synchronization between beating cells.

UR - http://www.scopus.com/inward/record.url?scp=77950109401&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950109401&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-03882-2-493

DO - 10.1007/978-3-642-03882-2-493

M3 - Conference contribution

AN - SCOPUS:77950109401

SN - 9783642038815

T3 - IFMBE Proceedings

SP - 1857

EP - 1860

BT - World Congress on Medical Physics and Biomedical Engineering

ER -