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Review

Entropy and Statistical Complexity in Bioelectrical Signals: A Literature Review

by
Luis Gabriel Gómez Acosta
* and
Max Chacón Pacheco
Departamento de Ingeniería Informática, Facultad de Ingeniería, Universidad de Santiago de Chile [USACH], Av. Víctor Jara 3659, Estación Central, Santiago 9170124, Chile
*
Author to whom correspondence should be addressed.
Submission received: 8 October 2024 / Revised: 8 January 2025 / Accepted: 22 January 2025 / Published: 6 February 2025

Abstract

In biomedical engineering, Information Theory Quantifiers (ITQs) are used to analyze diseases by evaluating bioelectrical signals. This review article presents a meta-analysis to highlight the knowledge gap regarding the various perspectives and existing theories in this field. It intends to serve as an international reference, highlighting new opportunities for analysis in this field. Methodologically, it has gone through several stages: (i) the heuristic stage, which defined the characteristics of the documentary sample; (ii) the systematic classification and review of 70 texts using the Latent Dirichlet Allocation (LDA) model to identify topics; (iii) the hermeneutic analysis of seven thematic focuses; and (iv) the presentation of the final results. Among the findings are that continuous signals are analyzed discretely through sampling, probability distributions, and quantization, allowing entropy to be calculated. The complexity–entropy plane illustrates the relationship between disorder, organization, and structure in a system. It is concluded that the latter is useful to analyze bioelectrical signals in various diseases. However, its limited application in digestive disorders is evident, which highlights the need to integrate these concepts to improve their understanding and clinical diagnosis.
Keywords: probability distribution; entropy; complexity; complexity–entropy plane; statistical complexity measure probability distribution; entropy; complexity; complexity–entropy plane; statistical complexity measure

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MDPI and ACS Style

Gómez Acosta, L.G.; Chacón Pacheco, M. Entropy and Statistical Complexity in Bioelectrical Signals: A Literature Review. Signals 2025, 6, 7. https://doi.org/10.3390/signals6010007

AMA Style

Gómez Acosta LG, Chacón Pacheco M. Entropy and Statistical Complexity in Bioelectrical Signals: A Literature Review. Signals. 2025; 6(1):7. https://doi.org/10.3390/signals6010007

Chicago/Turabian Style

Gómez Acosta, Luis Gabriel, and Max Chacón Pacheco. 2025. "Entropy and Statistical Complexity in Bioelectrical Signals: A Literature Review" Signals 6, no. 1: 7. https://doi.org/10.3390/signals6010007

APA Style

Gómez Acosta, L. G., & Chacón Pacheco, M. (2025). Entropy and Statistical Complexity in Bioelectrical Signals: A Literature Review. Signals, 6(1), 7. https://doi.org/10.3390/signals6010007

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