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Fractal phase space and fractal entropy of instantaneous cardiac rhythm

Author

Listed:
  • Tsvetkov, V.P.
  • Mikheyev, S.A.
  • Tsvetkov, I.V.

Abstract

The paper is devoted to the study of cardiac rhythm variability (CRV) using the phase and extended phase spaces of instantaneous cardiac rhythm (ICR) obtained from the Holter monitoring (HM) data. In order to construct these spaces, a software package is developed and implemented. With specific references, the fractality of the ICR phase space is demonstrated. The fractal phase space volume and fractal entropy definitions of ICR are given. The paper justifies their availability for CRV quantitative assessment.

Suggested Citation

  • Tsvetkov, V.P. & Mikheyev, S.A. & Tsvetkov, I.V., 2018. "Fractal phase space and fractal entropy of instantaneous cardiac rhythm," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 71-76.
    • Handle: RePEc:eee:chsofr:v:108:y:2018:i:c:p:71-76
    DOI: 10.1016/j.chaos.2018.01.030
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    References listed on IDEAS

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    1. Guzmán-Vargas, L. & Reyes-Ramírez, I. & Hernández-Pérez, R., 2013. "On excursion increments in heartbeat dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 52(C), pages 1-7.
    2. Cammarota, Camillo & Rogora, Enrico, 2007. "Time reversal, symbolic series and irreversibility of human heartbeat," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1649-1654.
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    Cited by:

    1. Fan, Guo-Feng & Peng, Li-Ling & Hong, Wei-Chiang, 2018. "Short term load forecasting based on phase space reconstruction algorithm and bi-square kernel regression model," Applied Energy, Elsevier, vol. 224(C), pages 13-33.
    2. Tsvetkov, V.P. & Mikheev, S.A. & Tsvetkov, I.V. & Derbov, V.L. & Gusev, A.A. & Vinitsky, S.I., 2022. "Modeling the multifractal dynamics of COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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