Entropy of Entropy: Measurement of Dynamical Complexity for Biological Systems Article Swipe
Chang Francis Hsu
,
Sung-Yang Wei
,
Han-Ping Huang
,
Long Hsu
,
Sien Chi
,
Chung‐Kang Peng
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.3390/e19100550
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.3390/e19100550
Healthy systems exhibit complex dynamics on the changing of information embedded in physiologic signals on multiple time scales that can be quantified by employing multiscale entropy (MSE) analysis. Here, we propose a measure of complexity, called entropy of entropy (EoE) analysis. The analysis combines the features of MSE and an alternate measure of information, called superinformation, useful for DNA sequences. In this work, we apply the hybrid analysis to the cardiac interbeat interval time series. We find that the EoE value is significantly higher for the healthy than the pathologic groups. Particularly, short time series of 70 heart beats is sufficient for EoE analysis with an accuracy of 81% and longer series of 500 beats results in an accuracy of 90%. In addition, the EoE versus Shannon entropy plot of heart rate time series exhibits an inverted U relationship with the maximal EoE value appearing in the middle of extreme order and disorder.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/e19100550
- https://www.mdpi.com/1099-4300/19/10/550/pdf?version=1508384350
- OA Status
- gold
- Cited By
- 42
- References
- 35
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2765520681
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2765520681Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3390/e19100550Digital Object Identifier
- Title
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Entropy of Entropy: Measurement of Dynamical Complexity for Biological SystemsWork title
- Type
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articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2017Year of publication
- Publication date
-
2017-10-18Full publication date if available
- Authors
-
Chang Francis Hsu, Sung-Yang Wei, Han-Ping Huang, Long Hsu, Sien Chi, Chung‐Kang PengList of authors in order
- Landing page
-
https://doi.org/10.3390/e19100550Publisher landing page
- PDF URL
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https://www.mdpi.com/1099-4300/19/10/550/pdf?version=1508384350Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://www.mdpi.com/1099-4300/19/10/550/pdf?version=1508384350Direct OA link when available
- Concepts
-
Entropy (arrow of time), Sample entropy, Mathematics, Statistical physics, Time series, Transfer entropy, Heart rate variability, Computer science, Algorithm, Statistics, Heart rate, Principle of maximum entropy, Physics, Thermodynamics, Medicine, Internal medicine, Blood pressureTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
42Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 4, 2024: 8, 2023: 7, 2022: 5, 2021: 7Per-year citation counts (last 5 years)
- References (count)
-
35Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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