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A fractional-order approach to cardiac rhythm analysis

Author

Listed:
  • Templos-Hernández, Diana J.
  • Quezada-Téllez, Luis A.
  • González-Hernández, Brian M.
  • Rojas-Vite, Gerardo
  • Pineda-Sánchez, José E.
  • Fernández-Anaya, Guillermo
  • Rodriguez-Torres, Erika E.

Abstract

In this research, fractional dynamics has been incorporated into a nonlinear model of three coupled oscillators to capture cardiac behavior more closely. We observe that in the case of the rhythms associated with a normal heart, the fractional orders are close to 1. For the spider-fearful individuals, fractional dynamics were incorporated into each oscillator. It might be due to that fear is a motivational state induced by specific stimuli which give rise to escape or defensive behavior. Meanwhile, in the cardiac rhythms associated with hypertensive participants, only the first oscillator, sinoatrial node, has fractional dynamic. This may have physiological relevance if we consider that hypertension is, first at all a risk factor for cardiovascular diseases. Second at all, hyperkinetic circulation is orchestrated by the sinoatrial node, in interaction with the autonomic nervous system, which leads to cardiac muscle hypertrophy. Our results show that electrocardiogram (ECG waveforms) can be simulated when various physiological conditions occur in the human heart, which is why the proposed model may find applications in clinical practice.

Suggested Citation

  • Templos-Hernández, Diana J. & Quezada-Téllez, Luis A. & González-Hernández, Brian M. & Rojas-Vite, Gerardo & Pineda-Sánchez, José E. & Fernández-Anaya, Guillermo & Rodriguez-Torres, Erika E., 2021. "A fractional-order approach to cardiac rhythm analysis," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921002964
    DOI: 10.1016/j.chaos.2021.110942
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    References listed on IDEAS

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    1. Gois, Sandra R.F.S.M. & Savi, Marcelo A., 2009. "An analysis of heart rhythm dynamics using a three-coupled oscillator model," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2553-2565.
    2. Grudziński, Krzysztof & Żebrowski, Jan J, 2004. "Modeling cardiac pacemakers with relaxation oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 153-162.
    3. Ionescu, Clara & Kelly, James F., 2017. "Fractional calculus for respiratory mechanics: Power law impedance, viscoelasticity, and tissue heterogeneity," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 433-440.
    4. Frank R Ihmig & Antonio Gogeascoechea H. & Frank Neurohr-Parakenings & Sarah K Schäfer & Johanna Lass-Hennemann & Tanja Michael, 2020. "On-line anxiety level detection from biosignals: Machine learning based on a randomized controlled trial with spider-fearful individuals," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-20, June.
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