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Modeling of Heartbeat Dynamics with a System of Coupled Nonlinear Oscillators

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Biomedical Informatics and Technology (ACBIT 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 404))

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Abstract

We model electrical activity of cardiac electric system including atrial and ventricular muscles solving a set of coupled nonlinear oscillator equations. In the proposed mathematical model the heart pacemakers are considered as a network of self-excitatory elements represented by strongly asymmetric van der Pol-type oscillators, whereas cardiac muscles are modeled by driven non-oscillatory FitzHugh-Nagumo-type equations. The oscillators of the system are connected with unidirectional time delay couplings. The resulting total response of the system is obtained as a composition of calculated signals in the form of synthetic electrocardiogram. The proposed model allows to reproduce several well-known electrocardiological phenomena, such as tachycardia, complete heart block, atrial flutter, and ventricular fibrillation.

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Author information

Authors and Affiliations

  1. Complex Systems Modeling Laboratory, University of Aizu, Aizu-Wakamatsu, 965-8580, Japan

    Elena Ryzhii & Maxim Ryzhii

Authors
  1. Elena Ryzhii
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  2. Maxim Ryzhii
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Editor information

Editors and Affiliations

  1. Aizu Research Cluster for Medical Engineering and Informatics Research Center for Advanced Information Science and Technology, The University of Aizu, 965-8580, Aizuwakamatsu, Fukushima, Japan

    Tuan D. Pham

  2. Department of Cancer Biology, Division of Mathematical Oncology, The Institute of Medical Science, The University of Tokyo, 108-8639, Tokyo, Japan

    Kazuhisha Ichikawa

  3. Chaos Technology Research Lab, 5-26-5 Seta, 520-2134, Otsu-shi, Oyama-Higa, Japan

    Mayumi Oyama-Higa

  4. Department of Biostatistics and Medical Informatics, Faculty of Medicine and Pharmacy, The Free University of Brussels, 103, 1090, Laarbeeklaan, Brussels, Belgium

    Danny Coomans

  5. Department of Computer Science, University of Muenster, Einsteinstrasse 62, 48149, Muenster, Germany

    Xiaoyi Jiang

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Ryzhii, E., Ryzhii, M. (2014). Modeling of Heartbeat Dynamics with a System of Coupled Nonlinear Oscillators. In: Pham, T.D., Ichikawa, K., Oyama-Higa, M., Coomans, D., Jiang, X. (eds) Biomedical Informatics and Technology. ACBIT 2013. Communications in Computer and Information Science, vol 404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54121-6_6

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  • DOI: https://doi.org/10.1007/978-3-642-54121-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54120-9

  • Online ISBN: 978-3-642-54121-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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