Detection of Atrial Fibrillation Episodes based on 3D Algebraic Relationships between Cardiac Intervals
In this study, the notion of perfect matrices of Lagrange differences is employed to detect atrial fibrillation episodes based on three ECG parameters (JT interval, QRS interval, RR interval). The case study comprised 8 healthy individuals and 7 unhealthy individuals, and the mean and standard devia...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Diagnostics |
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| Online Access: | https://www.mdpi.com/2075-4418/12/12/2919 |
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| author | Naseha Wafa Qammar Vaiva Šiaučiūnaitė Vytautas Zabiela Alfonsas Vainoras Minvydas Ragulskis |
| author_facet | Naseha Wafa Qammar Vaiva Šiaučiūnaitė Vytautas Zabiela Alfonsas Vainoras Minvydas Ragulskis |
| author_sort | Naseha Wafa Qammar |
| collection | DOAJ |
| description | In this study, the notion of perfect matrices of Lagrange differences is employed to detect atrial fibrillation episodes based on three ECG parameters (JT interval, QRS interval, RR interval). The case study comprised 8 healthy individuals and 7 unhealthy individuals, and the mean and standard deviation of age was 65.84 ± 1.4 years, height was 1.75 ± 0.12 m, and weight was 79.4 ± 0.9 kg. Initially, it was demonstrated that the sensitivity of algebraic relationships between cardiac intervals increases when the dimension of the perfect matrices of Lagrange differences is extended from two to three. The baseline dataset was established using statistical algorithms for classification by means of the developed decision support system. The classification helps to determine whether the new incoming candidate has indications of atrial fibrillation or not. The application of probability distribution graphs and semi-gauge indicator techniques aided in visualizing the categorization of the new candidates. Though the study’s data are limited, this work provides a strong foundation for (1) validating the sensitivity of the perfect matrices of Lagrange differences, (2) establishing a robust baseline dataset for supervised classification, and (3) classifying new incoming candidates within the classification framework. From a clinical standpoint, the developed approach assists in the early detection of atrial fibrillation in an individual. |
| first_indexed | 2024-03-09T17:08:57Z |
| format | Article |
| id | doaj.art-02944f02ded44ec1a452ec90e5eea4e8 |
| institution | Directory Open Access Journal |
| issn | 2075-4418 |
| language | English |
| last_indexed | 2024-03-09T17:08:57Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Diagnostics |
| spelling | doaj.art-02944f02ded44ec1a452ec90e5eea4e82023-11-24T14:15:30ZengMDPI AGDiagnostics2075-44182022-11-011212291910.3390/diagnostics12122919Detection of Atrial Fibrillation Episodes based on 3D Algebraic Relationships between Cardiac IntervalsNaseha Wafa Qammar0Vaiva Šiaučiūnaitė1Vytautas Zabiela2Alfonsas Vainoras3Minvydas Ragulskis4Department of Mathematical Modelling, Kaunas University of Technology, LT-51368 Kaunas, LithuaniaDepartment of Mathematical Modelling, Kaunas University of Technology, LT-51368 Kaunas, LithuaniaCardiology Institute, The Lithuanian University of Health Sciences, Mickeviciaus g.9, LT-44307 Kaunas, LithuaniaCardiology Institute, The Lithuanian University of Health Sciences, Mickeviciaus g.9, LT-44307 Kaunas, LithuaniaDepartment of Mathematical Modelling, Kaunas University of Technology, LT-51368 Kaunas, LithuaniaIn this study, the notion of perfect matrices of Lagrange differences is employed to detect atrial fibrillation episodes based on three ECG parameters (JT interval, QRS interval, RR interval). The case study comprised 8 healthy individuals and 7 unhealthy individuals, and the mean and standard deviation of age was 65.84 ± 1.4 years, height was 1.75 ± 0.12 m, and weight was 79.4 ± 0.9 kg. Initially, it was demonstrated that the sensitivity of algebraic relationships between cardiac intervals increases when the dimension of the perfect matrices of Lagrange differences is extended from two to three. The baseline dataset was established using statistical algorithms for classification by means of the developed decision support system. The classification helps to determine whether the new incoming candidate has indications of atrial fibrillation or not. The application of probability distribution graphs and semi-gauge indicator techniques aided in visualizing the categorization of the new candidates. Though the study’s data are limited, this work provides a strong foundation for (1) validating the sensitivity of the perfect matrices of Lagrange differences, (2) establishing a robust baseline dataset for supervised classification, and (3) classifying new incoming candidates within the classification framework. From a clinical standpoint, the developed approach assists in the early detection of atrial fibrillation in an individual.https://www.mdpi.com/2075-4418/12/12/2919atrial fibrillationperfect matrix of Lagrange differencesstatistical indicatordecision support system |
| spellingShingle | Naseha Wafa Qammar Vaiva Šiaučiūnaitė Vytautas Zabiela Alfonsas Vainoras Minvydas Ragulskis Detection of Atrial Fibrillation Episodes based on 3D Algebraic Relationships between Cardiac Intervals Diagnostics atrial fibrillation perfect matrix of Lagrange differences statistical indicator decision support system |
| title | Detection of Atrial Fibrillation Episodes based on 3D Algebraic Relationships between Cardiac Intervals |
| title_full | Detection of Atrial Fibrillation Episodes based on 3D Algebraic Relationships between Cardiac Intervals |
| title_fullStr | Detection of Atrial Fibrillation Episodes based on 3D Algebraic Relationships between Cardiac Intervals |
| title_full_unstemmed | Detection of Atrial Fibrillation Episodes based on 3D Algebraic Relationships between Cardiac Intervals |
| title_short | Detection of Atrial Fibrillation Episodes based on 3D Algebraic Relationships between Cardiac Intervals |
| title_sort | detection of atrial fibrillation episodes based on 3d algebraic relationships between cardiac intervals |
| topic | atrial fibrillation perfect matrix of Lagrange differences statistical indicator decision support system |
| url | https://www.mdpi.com/2075-4418/12/12/2919 |
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