Heart Rhythm Analysis Using Nonlinear Oscillators with Duffing-Type Connections
Heartbeat rhythms are related to a complex dynamical system based on electrical activity of the cardiac cells usually measured by the electrocardiogram (ECG). This paper presents a mathematical model to describe the electrical activity of the heart that consists of three nonlinear oscillators couple...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/8/592 |
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| author | Rodrigue F. Fonkou Marcelo A. Savi |
| author_facet | Rodrigue F. Fonkou Marcelo A. Savi |
| author_sort | Rodrigue F. Fonkou |
| collection | DOAJ |
| description | Heartbeat rhythms are related to a complex dynamical system based on electrical activity of the cardiac cells usually measured by the electrocardiogram (ECG). This paper presents a mathematical model to describe the electrical activity of the heart that consists of three nonlinear oscillators coupled by delayed Duffing-type connections. Coupling alterations and external stimuli are responsible for different cardiac rhythms. The proposed model is employed to build synthetic ECGs representing a variety of responses including normal and pathological rhythms: ventricular flutter, torsade de pointes, atrial flutter, atrial fibrillation, ventricular fibrillation, polymorphic ventricular tachycardia and supraventricular extrasystole. Moreover, the sinoatrial rhythm variations are described by time-dependent frequency, representing transient disturbances. This kind of situation can represent transitions between different pathological behaviors or between normal and pathological physiologies. In this regard, a nonlinear dynamics perspective is employed to describe cardiac rhythms, being able to represent either normal or pathological behaviors. |
| first_indexed | 2024-03-10T23:55:34Z |
| format | Article |
| id | doaj.art-b000009aa98a4f54bdc6bbe038adbf8b |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T23:55:34Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-b000009aa98a4f54bdc6bbe038adbf8b2023-11-19T01:11:09ZengMDPI AGFractal and Fractional2504-31102023-07-017859210.3390/fractalfract7080592Heart Rhythm Analysis Using Nonlinear Oscillators with Duffing-Type ConnectionsRodrigue F. Fonkou0Marcelo A. Savi1Physics and Engineering Sciences Laboratory, University Institute of the Coast, Douala P.O. Box 3001, CameroonCenter for Nonlinear Mechanics, COPPE—Department of Mechanical Engineering, Universidade Federal do Rio de Janeiro, Rio de Janeiro P.O. Box 68.503, BrazilHeartbeat rhythms are related to a complex dynamical system based on electrical activity of the cardiac cells usually measured by the electrocardiogram (ECG). This paper presents a mathematical model to describe the electrical activity of the heart that consists of three nonlinear oscillators coupled by delayed Duffing-type connections. Coupling alterations and external stimuli are responsible for different cardiac rhythms. The proposed model is employed to build synthetic ECGs representing a variety of responses including normal and pathological rhythms: ventricular flutter, torsade de pointes, atrial flutter, atrial fibrillation, ventricular fibrillation, polymorphic ventricular tachycardia and supraventricular extrasystole. Moreover, the sinoatrial rhythm variations are described by time-dependent frequency, representing transient disturbances. This kind of situation can represent transitions between different pathological behaviors or between normal and pathological physiologies. In this regard, a nonlinear dynamics perspective is employed to describe cardiac rhythms, being able to represent either normal or pathological behaviors.https://www.mdpi.com/2504-3110/7/8/592nonlinear dynamicschaosbiomechanicsDuffing equationheart rhythmscardiac system |
| spellingShingle | Rodrigue F. Fonkou Marcelo A. Savi Heart Rhythm Analysis Using Nonlinear Oscillators with Duffing-Type Connections Fractal and Fractional nonlinear dynamics chaos biomechanics Duffing equation heart rhythms cardiac system |
| title | Heart Rhythm Analysis Using Nonlinear Oscillators with Duffing-Type Connections |
| title_full | Heart Rhythm Analysis Using Nonlinear Oscillators with Duffing-Type Connections |
| title_fullStr | Heart Rhythm Analysis Using Nonlinear Oscillators with Duffing-Type Connections |
| title_full_unstemmed | Heart Rhythm Analysis Using Nonlinear Oscillators with Duffing-Type Connections |
| title_short | Heart Rhythm Analysis Using Nonlinear Oscillators with Duffing-Type Connections |
| title_sort | heart rhythm analysis using nonlinear oscillators with duffing type connections |
| topic | nonlinear dynamics chaos biomechanics Duffing equation heart rhythms cardiac system |
| url | https://www.mdpi.com/2504-3110/7/8/592 |
| work_keys_str_mv | AT rodrigueffonkou heartrhythmanalysisusingnonlinearoscillatorswithduffingtypeconnections AT marceloasavi heartrhythmanalysisusingnonlinearoscillatorswithduffingtypeconnections |