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Response to "Comment on 'Modified multiscale fuzzy entropy: A robust method for short-term physiologic signals"' [Chaos 30, 083135 (2020)].

Chaos (Woodbury, N.Y.)·2021
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Modified multiscale fuzzy entropy: A robust method for short-term physiologic signals.

Airton Monte Serrat Borin1, Luiz Eduardo Virgilio Silva2, Luiz Otavio Murta3

  • 1Federal Institute for Education Science and Technology of Triângulo Mineiro, IFTM, Uberaba, MG 38064-790, Brazil.

Chaos (Woodbury, N.Y.)
|September 3, 2020
PubMed
Summary

Modified multiscale fuzzy entropy (MMFE) offers a robust solution for analyzing short physiological signals, outperforming modified multiscale entropy (MMSE). MMFE demonstrates reliability comparable to multiscale entropy (MSE) even with limited data points.

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Area of Science:

  • Physiological signal analysis
  • Complex systems science
  • Biomedical engineering

Background:

  • Multiscale entropy (MSE) is a key method for analyzing complex physiological signals.
  • Existing variants like modified multiscale entropy (MMSE) have limitations with short time series due to hard similarity criteria.
  • There is a need for improved entropy analysis methods for short physiological data.

Purpose of the Study:

  • To introduce Modified Multiscale Fuzzy Entropy (MMFE) as an advancement over MMSE.
  • To evaluate the robustness of MMFE and MMSE for short physiological time series.
  • To compare MMFE and MMSE performance against classical MSE using varying signal lengths.

Main Methods:

  • Development of the Modified Multiscale Fuzzy Entropy (MMFE) method, integrating fuzzy entropy concepts with MMSE.
  • Evaluation of MMSE and MMFE robustness using segmented stochastic noise and heart rate variability (HRV) series.
  • Comparison of MMFE and MMSE results with classical MSE on full signals.

Main Results:

  • MMFE demonstrates significantly higher robustness than MMSE for short physiological time series.
  • MMFE performance closely approximates classical MSE results for time series as short as 400 samples.
  • An exponential relationship between the MMFE fuzzy parameter and signal size was identified.

Conclusions:

  • MMFE is a more robust and reliable method for analyzing short physiological time series compared to MMSE.
  • The identified exponential relationship provides a guideline for selecting optimal MMFE parameters based on signal length.
  • MMFE offers a promising tool for complex physiological signal analysis when data is limited.