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Search Results (5)

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Keywords = Bandt and Pompe method

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14 pages, 1056 KB  
Article
Spatio-Temporal Analysis of Acute Myocardial Ischaemia Based on Entropy–Complexity Plane
by Esteban R. Valverde, Victoria Vampa, Osvaldo A. Rosso and Pedro D. Arini
Entropy 2025, 27(1), 8; https://doi.org/10.3390/e27010008 - 26 Dec 2024
Cited by 2 | Viewed by 1280
Abstract
Myocardial ischaemia is a decompensation of the oxygen supply and demand ratio, often caused by coronary atherosclerosis. During the initial stage of ischaemia, the electrical activity of the heart is disrupted, increasing the risk of malignant arrhythmias. The aim of this study is [...] Read more.
Myocardial ischaemia is a decompensation of the oxygen supply and demand ratio, often caused by coronary atherosclerosis. During the initial stage of ischaemia, the electrical activity of the heart is disrupted, increasing the risk of malignant arrhythmias. The aim of this study is to understand the differential behaviour of the ECG during occlusion of both the left anterior descending (LAD) and right anterior coronary artery (RCA), respectively, using spatio-temporal quantifiers from information theory. A standard 12-lead ECG was recorded for each patient in the database. The control condition was obtained initially. Then, a percutaneous transluminal coronary angioplasty procedure (PTCA), which encompassed the occlusion/reperfusion period, was performed. To evaluate information quantifiers, the Bandt and Pompe permutation method was used to estimate the probability distribution associated with the electrocardiographic vector modulus. Subsequently, we analysed the positioning in the H×C causal plane for the control and ischaemia. In LAD occlusion, decreased entropy and increased complexity can be seen, i.e., the behaviour is more predictable with an increase in the degree of complexity of the system. RCA occlusion had the opposite effects, i.e., the phenomenon is less predictable and exhibits a lower degree of organisation. Finally, both entropy and complexity decrease during the reperfusion phase in LAD and RCA cases. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Applications—In Honor of Professor Osvaldo Anibal Rosso's 70th Birthday)
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23 pages, 6755 KB  
Article
Neural Dynamics Associated with Biological Variation in Normal Human Brain Regions
by Natalí Guisande, Osvaldo A. Rosso and Fernando Montani
Entropy 2024, 26(10), 828; https://doi.org/10.3390/e26100828 - 29 Sep 2024
Cited by 1 | Viewed by 2384
Abstract
The processes involved in encoding and decoding signals in the human brain are a continually studied topic, as neuronal information flow involves complex nonlinear dynamics. This study examines awake human intracranial electroencephalography (iEEG) data from normal brain regions to explore how biological sex [...] Read more.
The processes involved in encoding and decoding signals in the human brain are a continually studied topic, as neuronal information flow involves complex nonlinear dynamics. This study examines awake human intracranial electroencephalography (iEEG) data from normal brain regions to explore how biological sex influences these dynamics. The iEEG data were analyzed using permutation entropy and statistical complexity in the time domain and power spectrum calculations in the frequency domain. The Bandt and Pompe method was used to assess time series causality by associating probability distributions based on ordinal patterns with the signals. Due to the invasive nature of data acquisition, the study encountered limitations such as small sample sizes and potential sources of error. Nevertheless, the high spatial resolution of iEEG allows detailed analysis and comparison of specific brain regions. The results reveal differences between sexes in brain regions, observed through power spectrum, entropy, and complexity analyses. Significant differences were found in the left supramarginal gyrus, posterior cingulate, supplementary motor cortex, middle temporal gyrus, and right superior temporal gyrus. This study emphasizes the importance of considering sex as a biological variable in brain dynamics research, which is essential for improving the diagnosis and treatment of neurological and psychiatric disorders. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Applications—In Honor of Professor Osvaldo Anibal Rosso's 70th Birthday)
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24 pages, 616 KB  
Article
Efficiently Measuring Complexity on the Basis of Real-World Data
by Valentina A. Unakafova and Karsten Keller
Entropy 2013, 15(10), 4392-4415; https://doi.org/10.3390/e15104392 - 16 Oct 2013
Cited by 74 | Viewed by 12174
Abstract
Permutation entropy, introduced by Bandt and Pompe, is a conceptually simple and well-interpretable measure of time series complexity. In this paper, we propose efficient methods for computing it and related ordinal-patterns-based characteristics. The methods are based on precomputing values of successive ordinal patterns [...] Read more.
Permutation entropy, introduced by Bandt and Pompe, is a conceptually simple and well-interpretable measure of time series complexity. In this paper, we propose efficient methods for computing it and related ordinal-patterns-based characteristics. The methods are based on precomputing values of successive ordinal patterns of order d, considering the fact that they are “overlapped” in d points, and on precomputing successive values of the permutation entropy related to “overlapping” successive time-windows. The proposed methods allow for measurement of the complexity of very large datasets in real-time. Full article
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13 pages, 698 KB  
Article
On Extracting Probability Distribution Information from Time Series
by Andres M. Kowalski, Maria Teresa Martin, Angelo Plastino and George Judge
Entropy 2012, 14(10), 1829-1841; https://doi.org/10.3390/e14101829 - 28 Sep 2012
Cited by 18 | Viewed by 7490
Abstract
Time-series (TS) are employed in a variety of academic disciplines. In this paper we focus on extracting probability density functions (PDFs) from TS to gain an insight into the underlying dynamic processes. On discussing this “extraction” problem, we consider two popular approaches that [...] Read more.
Time-series (TS) are employed in a variety of academic disciplines. In this paper we focus on extracting probability density functions (PDFs) from TS to gain an insight into the underlying dynamic processes. On discussing this “extraction” problem, we consider two popular approaches that we identify as histograms and Bandt–Pompe. We use an information-theoretic method to objectively compare the information content of the concomitant PDFs. Full article
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13 pages, 620 KB  
Article
The Quantum-Classical Transition as an Information Flow
by Andres M. Kowalski, Maria T. Martin, Luciano Zunino, Angelo Plastino and Montserrat Casas
Entropy 2010, 12(1), 148-160; https://doi.org/10.3390/e12010148 - 26 Jan 2010
Cited by 5 | Viewed by 10621
Abstract
We investigate the classical limit of the semiclassical evolution with reference to a well-known model that represents the interaction between matter and a given field. This is done by recourse to a special statistical quantifier called the “symbolic transfer entropy”. We encounter that [...] Read more.
We investigate the classical limit of the semiclassical evolution with reference to a well-known model that represents the interaction between matter and a given field. This is done by recourse to a special statistical quantifier called the “symbolic transfer entropy”. We encounter that the quantum-classical transition gets thereby described as the sign-reversal of the dominating direction of the information flow between classical and quantal variables. Full article
(This article belongs to the Special Issue Information and Entropy)
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