State Space Correspondence and Cross-Entropy Methods in the Assessment of Bidirectional Cardiorespiratory Coupling in Heart Failure
The complex interplay between the cardiac and the respiratory systems, termed cardiorespiratory coupling (CRC), is a bidirectional phenomenon that can be affected by pathologies such as heart failure (HF). In the present work, the potential changes in strength of directional CRC were assessed in HF...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-07-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/27/7/770 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849303537073258496 |
|---|---|
| author | Beatrice Cairo Riccardo Pernice Nikola N. Radovanović Luca Faes Alberto Porta Mirjana M. Platiša |
| author_facet | Beatrice Cairo Riccardo Pernice Nikola N. Radovanović Luca Faes Alberto Porta Mirjana M. Platiša |
| author_sort | Beatrice Cairo |
| collection | DOAJ |
| description | The complex interplay between the cardiac and the respiratory systems, termed cardiorespiratory coupling (CRC), is a bidirectional phenomenon that can be affected by pathologies such as heart failure (HF). In the present work, the potential changes in strength of directional CRC were assessed in HF patients classified according to their cardiac rhythm via two measures of coupling based on k-nearest neighbor (KNN) estimation approaches, cross-entropy (CrossEn) and state space correspondence (SSC), applied on the heart period (HP) and respiratory (RESP) variability series, while also accounting for the complexity of the cardiac and respiratory rhythms. We tested the measures on 25 HF patients with sinus rhythm (SR, age: 58.9 ± 9.7 years; 23 males) and 41 HF patients with ventricular arrhythmia (VA, age 62.2 ± 11.0 years; 30 males). A predominant directionality of interaction from the cardiac to the respiratory rhythm was observed in both cohorts and using both methodologies, with similar statistical power, while a lower complexity for the RESP series compared to HP series was observed in the SR cohort. We conclude that CrossEn and SSC can be considered strictly related to each other when using a KNN technique for the estimation of the cross-predictability markers. |
| format | Article |
| id | doaj-art-00bc998338f84d868e366c774934a992 |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-00bc998338f84d868e366c774934a9922025-08-20T03:58:26ZengMDPI AGEntropy1099-43002025-07-0127777010.3390/e27070770State Space Correspondence and Cross-Entropy Methods in the Assessment of Bidirectional Cardiorespiratory Coupling in Heart FailureBeatrice Cairo0Riccardo Pernice1Nikola N. Radovanović2Luca Faes3Alberto Porta4Mirjana M. Platiša5Department of Biomedical Sciences for Health, University of Milan, 20133 Milan, ItalyDepartment of Engineering, University of Palermo, Viale delle Scienze, 90128 Palermo, ItalyPacemaker Center, University Clinical Center of Serbia, Faculty of Medicine, University of Belgrade, 11000 Belgrade, SerbiaDepartment of Engineering, University of Palermo, Viale delle Scienze, 90128 Palermo, ItalyDepartment of Biomedical Sciences for Health, University of Milan, 20133 Milan, ItalyLaboratory for Biosignals, Institute of Biophysics, Faculty of Medicine, University of Belgrade, 11000 Belgrade, SerbiaThe complex interplay between the cardiac and the respiratory systems, termed cardiorespiratory coupling (CRC), is a bidirectional phenomenon that can be affected by pathologies such as heart failure (HF). In the present work, the potential changes in strength of directional CRC were assessed in HF patients classified according to their cardiac rhythm via two measures of coupling based on k-nearest neighbor (KNN) estimation approaches, cross-entropy (CrossEn) and state space correspondence (SSC), applied on the heart period (HP) and respiratory (RESP) variability series, while also accounting for the complexity of the cardiac and respiratory rhythms. We tested the measures on 25 HF patients with sinus rhythm (SR, age: 58.9 ± 9.7 years; 23 males) and 41 HF patients with ventricular arrhythmia (VA, age 62.2 ± 11.0 years; 30 males). A predominant directionality of interaction from the cardiac to the respiratory rhythm was observed in both cohorts and using both methodologies, with similar statistical power, while a lower complexity for the RESP series compared to HP series was observed in the SR cohort. We conclude that CrossEn and SSC can be considered strictly related to each other when using a KNN technique for the estimation of the cross-predictability markers.https://www.mdpi.com/1099-4300/27/7/770cardiorespiratory couplingheart failureinformation theorycross-entropycross-predictabilityk-nearest neighbors |
| spellingShingle | Beatrice Cairo Riccardo Pernice Nikola N. Radovanović Luca Faes Alberto Porta Mirjana M. Platiša State Space Correspondence and Cross-Entropy Methods in the Assessment of Bidirectional Cardiorespiratory Coupling in Heart Failure Entropy cardiorespiratory coupling heart failure information theory cross-entropy cross-predictability k-nearest neighbors |
| title | State Space Correspondence and Cross-Entropy Methods in the Assessment of Bidirectional Cardiorespiratory Coupling in Heart Failure |
| title_full | State Space Correspondence and Cross-Entropy Methods in the Assessment of Bidirectional Cardiorespiratory Coupling in Heart Failure |
| title_fullStr | State Space Correspondence and Cross-Entropy Methods in the Assessment of Bidirectional Cardiorespiratory Coupling in Heart Failure |
| title_full_unstemmed | State Space Correspondence and Cross-Entropy Methods in the Assessment of Bidirectional Cardiorespiratory Coupling in Heart Failure |
| title_short | State Space Correspondence and Cross-Entropy Methods in the Assessment of Bidirectional Cardiorespiratory Coupling in Heart Failure |
| title_sort | state space correspondence and cross entropy methods in the assessment of bidirectional cardiorespiratory coupling in heart failure |
| topic | cardiorespiratory coupling heart failure information theory cross-entropy cross-predictability k-nearest neighbors |
| url | https://www.mdpi.com/1099-4300/27/7/770 |
| work_keys_str_mv | AT beatricecairo statespacecorrespondenceandcrossentropymethodsintheassessmentofbidirectionalcardiorespiratorycouplinginheartfailure AT riccardopernice statespacecorrespondenceandcrossentropymethodsintheassessmentofbidirectionalcardiorespiratorycouplinginheartfailure AT nikolanradovanovic statespacecorrespondenceandcrossentropymethodsintheassessmentofbidirectionalcardiorespiratorycouplinginheartfailure AT lucafaes statespacecorrespondenceandcrossentropymethodsintheassessmentofbidirectionalcardiorespiratorycouplinginheartfailure AT albertoporta statespacecorrespondenceandcrossentropymethodsintheassessmentofbidirectionalcardiorespiratorycouplinginheartfailure AT mirjanamplatisa statespacecorrespondenceandcrossentropymethodsintheassessmentofbidirectionalcardiorespiratorycouplinginheartfailure |