Abstract
Three-dimensional angle between the QRS complex and T wave vectors is a known powerful cardiovascular risk predictor. Nevertheless, several physiological properties of the angle are unknown or poorly understood. These include, among others, intra-subject profiles and stability of the angle relationship to heart rate, characteristics of angle/heart-rate hysteresis, and the changes of these characteristics with different modes of QRS-T angle calculation. These characteristics were investigated in long-term 12-lead Holter recordings of 523 healthy volunteers (259 females). Three different algorithmic methods for the angle computation were based on maximal vector magnitude of QRS and T wave loops, areas under the QRS complex and T wave curvatures in orthogonal leads, and weighted integration of all QRS and T wave vectors moving around the respective 3-dimensional loops. These methods were applied to orthogonal leads derived either by a uniform conversion matrix or by singular value decomposition (SVD) of the original 12-lead ECG, giving 6 possible ways of expressing the angle. Heart rate hysteresis was assessed using the exponential decay models. All these methods were used to measure the angle in 659,313 representative waveforms of individual 10-s ECG samples and in 7,350,733 individual beats contained in the same 10-s samples. With all measurement methods, the measured angles fitted second-degree polynomial regressions to the underlying heart rate. Independent of the measurement method, the angles were found significantly narrower in females (p < 0.00001) with the differences to males between 10o and 20o, suggesting that in future risk-assessment studies, different angle dichotomies are needed for both sexes. The integrative method combined with SVD leads showed the highest intra-subject reproducibility (p < 0.00001). No reproducible delay between heart rate changes and QRS-T angle changes was found. This was interpreted as a suggestion that the measurement of QRS-T angle might offer direct assessment of cardiac autonomic responsiveness at the ventricular level.
Original language | English |
---|---|
Article number | 939633 |
Journal | Frontiers in Physiology |
Volume | 13 |
DOIs | |
State | Published - 30 Aug 2022 |
Externally published | Yes |
Keywords
- ECG measurements
- healthy volunteers
- heart rate
- heart rate hysteresis
- long-term ECG
- polynomial regression
- sex differences
- spatial QRS-T angle
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Andršová, I., Hnatkova, K., Toman, O., Šišáková, M., Smetana, P., Huster, K. M., Barthel, P., Novotný, T., Schmidt, G., & Malik, M. (2022). Intra-subject stability of different expressions of spatial QRS-T angle and their relationship to heart rate. Frontiers in Physiology, 13, Article 939633. https://doi.org/10.3389/fphys.2022.939633
Andršová, Irena ; Hnatkova, Katerina ; Toman, Ondřej et al. / Intra-subject stability of different expressions of spatial QRS-T angle and their relationship to heart rate. In: Frontiers in Physiology. 2022 ; Vol. 13.
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title = "Intra-subject stability of different expressions of spatial QRS-T angle and their relationship to heart rate",
abstract = "Three-dimensional angle between the QRS complex and T wave vectors is a known powerful cardiovascular risk predictor. Nevertheless, several physiological properties of the angle are unknown or poorly understood. These include, among others, intra-subject profiles and stability of the angle relationship to heart rate, characteristics of angle/heart-rate hysteresis, and the changes of these characteristics with different modes of QRS-T angle calculation. These characteristics were investigated in long-term 12-lead Holter recordings of 523 healthy volunteers (259 females). Three different algorithmic methods for the angle computation were based on maximal vector magnitude of QRS and T wave loops, areas under the QRS complex and T wave curvatures in orthogonal leads, and weighted integration of all QRS and T wave vectors moving around the respective 3-dimensional loops. These methods were applied to orthogonal leads derived either by a uniform conversion matrix or by singular value decomposition (SVD) of the original 12-lead ECG, giving 6 possible ways of expressing the angle. Heart rate hysteresis was assessed using the exponential decay models. All these methods were used to measure the angle in 659,313 representative waveforms of individual 10-s ECG samples and in 7,350,733 individual beats contained in the same 10-s samples. With all measurement methods, the measured angles fitted second-degree polynomial regressions to the underlying heart rate. Independent of the measurement method, the angles were found significantly narrower in females (p < 0.00001) with the differences to males between 10o and 20o, suggesting that in future risk-assessment studies, different angle dichotomies are needed for both sexes. The integrative method combined with SVD leads showed the highest intra-subject reproducibility (p < 0.00001). No reproducible delay between heart rate changes and QRS-T angle changes was found. This was interpreted as a suggestion that the measurement of QRS-T angle might offer direct assessment of cardiac autonomic responsiveness at the ventricular level.",
keywords = "ECG measurements, healthy volunteers, heart rate, heart rate hysteresis, long-term ECG, polynomial regression, sex differences, spatial QRS-T angle",
author = "Irena Andr{\v s}ov{\'a} and Katerina Hnatkova and Ond{\v r}ej Toman and Martina {\v S}i{\v s}{\'a}kov{\'a} and Peter Smetana and Huster, {Katharina M.} and Petra Barthel and Tom{\'a}{\v s} Novotn{\'y} and Georg Schmidt and Marek Malik",
note = "Publisher Copyright: Copyright {\textcopyright} 2022 Andr{\v s}ov{\'a}, Hnatkova, Toman, {\v S}i{\v s}{\'a}kov{\'a}, Smetana, Huster, Barthel, Novotn{\'y}, Schmidt and Malik.",
year = "2022",
month = aug,
day = "30",
doi = "10.3389/fphys.2022.939633",
language = "English",
volume = "13",
journal = "Frontiers in Physiology",
issn = "1664-042X",
publisher = "Frontiers Media S.A.",
}
Andršová, I, Hnatkova, K, Toman, O, Šišáková, M, Smetana, P, Huster, KM, Barthel, P, Novotný, T, Schmidt, G & Malik, M 2022, 'Intra-subject stability of different expressions of spatial QRS-T angle and their relationship to heart rate', Frontiers in Physiology, vol. 13, 939633. https://doi.org/10.3389/fphys.2022.939633
Intra-subject stability of different expressions of spatial QRS-T angle and their relationship to heart rate. / Andršová, Irena; Hnatkova, Katerina; Toman, Ondřej et al.
In: Frontiers in Physiology, Vol. 13, 939633, 30.08.2022.
Research output: Contribution to journal › Article › peer-review
TY - JOUR
T1 - Intra-subject stability of different expressions of spatial QRS-T angle and their relationship to heart rate
AU - Andršová, Irena
AU - Hnatkova, Katerina
AU - Toman, Ondřej
AU - Šišáková, Martina
AU - Smetana, Peter
AU - Huster, Katharina M.
AU - Barthel, Petra
AU - Novotný, Tomáš
AU - Schmidt, Georg
AU - Malik, Marek
N1 - Publisher Copyright:Copyright © 2022 Andršová, Hnatkova, Toman, Šišáková, Smetana, Huster, Barthel, Novotný, Schmidt and Malik.
PY - 2022/8/30
Y1 - 2022/8/30
N2 - Three-dimensional angle between the QRS complex and T wave vectors is a known powerful cardiovascular risk predictor. Nevertheless, several physiological properties of the angle are unknown or poorly understood. These include, among others, intra-subject profiles and stability of the angle relationship to heart rate, characteristics of angle/heart-rate hysteresis, and the changes of these characteristics with different modes of QRS-T angle calculation. These characteristics were investigated in long-term 12-lead Holter recordings of 523 healthy volunteers (259 females). Three different algorithmic methods for the angle computation were based on maximal vector magnitude of QRS and T wave loops, areas under the QRS complex and T wave curvatures in orthogonal leads, and weighted integration of all QRS and T wave vectors moving around the respective 3-dimensional loops. These methods were applied to orthogonal leads derived either by a uniform conversion matrix or by singular value decomposition (SVD) of the original 12-lead ECG, giving 6 possible ways of expressing the angle. Heart rate hysteresis was assessed using the exponential decay models. All these methods were used to measure the angle in 659,313 representative waveforms of individual 10-s ECG samples and in 7,350,733 individual beats contained in the same 10-s samples. With all measurement methods, the measured angles fitted second-degree polynomial regressions to the underlying heart rate. Independent of the measurement method, the angles were found significantly narrower in females (p < 0.00001) with the differences to males between 10o and 20o, suggesting that in future risk-assessment studies, different angle dichotomies are needed for both sexes. The integrative method combined with SVD leads showed the highest intra-subject reproducibility (p < 0.00001). No reproducible delay between heart rate changes and QRS-T angle changes was found. This was interpreted as a suggestion that the measurement of QRS-T angle might offer direct assessment of cardiac autonomic responsiveness at the ventricular level.
AB - Three-dimensional angle between the QRS complex and T wave vectors is a known powerful cardiovascular risk predictor. Nevertheless, several physiological properties of the angle are unknown or poorly understood. These include, among others, intra-subject profiles and stability of the angle relationship to heart rate, characteristics of angle/heart-rate hysteresis, and the changes of these characteristics with different modes of QRS-T angle calculation. These characteristics were investigated in long-term 12-lead Holter recordings of 523 healthy volunteers (259 females). Three different algorithmic methods for the angle computation were based on maximal vector magnitude of QRS and T wave loops, areas under the QRS complex and T wave curvatures in orthogonal leads, and weighted integration of all QRS and T wave vectors moving around the respective 3-dimensional loops. These methods were applied to orthogonal leads derived either by a uniform conversion matrix or by singular value decomposition (SVD) of the original 12-lead ECG, giving 6 possible ways of expressing the angle. Heart rate hysteresis was assessed using the exponential decay models. All these methods were used to measure the angle in 659,313 representative waveforms of individual 10-s ECG samples and in 7,350,733 individual beats contained in the same 10-s samples. With all measurement methods, the measured angles fitted second-degree polynomial regressions to the underlying heart rate. Independent of the measurement method, the angles were found significantly narrower in females (p < 0.00001) with the differences to males between 10o and 20o, suggesting that in future risk-assessment studies, different angle dichotomies are needed for both sexes. The integrative method combined with SVD leads showed the highest intra-subject reproducibility (p < 0.00001). No reproducible delay between heart rate changes and QRS-T angle changes was found. This was interpreted as a suggestion that the measurement of QRS-T angle might offer direct assessment of cardiac autonomic responsiveness at the ventricular level.
KW - ECG measurements
KW - healthy volunteers
KW - heart rate
KW - heart rate hysteresis
KW - long-term ECG
KW - polynomial regression
KW - sex differences
KW - spatial QRS-T angle
UR - http://www.scopus.com/inward/record.url?scp=85138301822&partnerID=8YFLogxK
U2 - 10.3389/fphys.2022.939633
DO - 10.3389/fphys.2022.939633
M3 - Article
AN - SCOPUS:85138301822
SN - 1664-042X
VL - 13
JO - Frontiers in Physiology
JF - Frontiers in Physiology
M1 - 939633
ER -
Andršová I, Hnatkova K, Toman O, Šišáková M, Smetana P, Huster KM et al. Intra-subject stability of different expressions of spatial QRS-T angle and their relationship to heart rate. Frontiers in Physiology. 2022 Aug 30;13:939633. doi: 10.3389/fphys.2022.939633