Abstract
The electrical activity of the heart consists of nonlinear interactions emerging as a complex system. As such, proper characterization of arrhythmias and arrhythmogenic areas requires nonlinear analysis methods. Electrocardiographic imaging provides a full spatiotemporal picture of the electric potential on the human epicardium. Rhythm reflects the connection topology of the pacemaker cells driving it. Hence, characterizing the attractors as nonlinear, effective dynamics can capture the key parameters without imposing any particular microscopic model on the empirical signals. A dynamic phase-space reconstruction from an appropriate embedding can be made robust and numerically stable with the presented method. We show that both the phase-space descriptors and those of the a priori unrelated singularity analysis are able to highlight the arrhythmogenic areas on cases of atrial fibrillation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
de la Casa, M.A., de La Rubia, F.J., Ivanov, P.C.: Patterns of spiral wave attenuation by low-frequency periodic planar fronts. Chaos: An Interdisciplinary Journal of Nonlinear Science 17(1), 015109 (2007)
Goldberger, A.L., Amaral, L.A.N., Glass, L., Hausdorff, J.M., Ivanov, P.C., Mark, R.G., Mietus, J.E., Moody, G.B., Peng, C.K., Stanley, H.E.: Physiobank, physiotoolkit, and physionet: Components of a new research resource for complex physiologic signals. Circulation 101(23), e215–e220 (2000)
Govindan, R.B., Narayanan, K., Gopinathan, M.S.: On the evidence of deterministic chaos in ecg: Surrogate and predictability analysis. Chaos 8(2), 495–502 (1998)
Haissaguerre, M., Hocini, M., Shah, A.J., Derval, N., Sacher, F., Jais, P., Dubois, R.: Noninvasive panoramic mapping of human atrial fibrillation mechanisms: A feasibility report. J. Cardiovasc. Electrophysiol. 24(6), 711–717 (2013)
Haïssaguerre, M., Jaïs, P., Shah, D.C., Takahashi, A., Hocini, M., Quiniou, G., Garrigue, S., Le Mouroux, A., Le Métayer, P., Clémenty, J.: Spontaneous initiation of atrial fibrillation by ectopic beats originating in the pulmonary veins. New England Journal of Medicine 339(10), 659–666 (1998)
Ivanov, P., Amaral, L., Goldberger, A., Havlin, S., Rosenblum, M., Struzik, Z., Stanley, H.: Multifractality in human heartbeat dynamics. Nature 399, 461–465 (1999)
Ivanov, P., Rosenblum, M., Peng, C.K., Mietus, J., Havlin, S., Stanley, H., Goldberger, A.: Scaling behaviour of heartbet intervals obtained by wavelet-based time-series analysis. Nature 383, 323–327 (1996)
Ivanov, P.C., Amaral, L.A.N., Goldberger, A.L., Stanley, H.E.: Stochastic feedback and the regulation of biological rhythms. Europhys. Lett. 43(4), 363–368 (1998)
Peng, C.K., Mietus, J., Hausdorff, J.M., Havlin, S., Stanley, H.E., Goldberger, A.L.: Long-range anticorrelations and non-gaussian behavior of the heartbeat. Phys. Rev. Lett. 70(9), 1343–1346 (1993)
Pont, O., Turiel, A., Perez-Vicente, C.: Empirical evidences of a common multifractal signature in economic, biological and physical systems. Physica A 388(10), 2025–2035 (2009)
Pont, O., Turiel, A., Perez-Vicente, C.: On optimal wavelet bases for the realization of microcanonical cascade processes. Int. J. Wavelets Multi., IJWMIP 9(1), 35–61 (2011)
Pont, O., Turiel, A., Perez-Vicente, C.J.: Application of the microcanonical multifractal formalism to monofractal systems. Physical Review E 74, 061110–061123 (2006)
Pont, O., Turiel, A., Perez-Vicente, C.J.: Description, modeling and forecasting of data with optimal wavelets. Journal of Economic Interaction and Coordination 4(1), 39–54 (2009)
Pont, O., Turiel, A., Yahia, H.: Singularity analysis of digital signals through the evaluation of their unpredictable point manifold. International Journal of Computer Mathematics 90(8), 1693–1707 (2013)
Pont, O., Haissaguerre, M., Yahia, H., Derval, N., Hocini, M.: Microcanonical processing methodology for ECG and intracardial potential: application to atrial fibrillation. Transactions on Mass-Data Analysis of Images and Signals 3(1), 15–34 (2011)
Pont, O., Xu, B.: Characterizing Complexity of Atrial Arrhythmias through Effective Dynamics from Electric Potential Measures. In: Computing in Cardiology, CinC 2013. Saragossa, Spain (2013)
Pont, O., Yahia, H., Xu, B.: Arrhythmic dynamics from singularity analysis of electrocardiographic maps. In: EMBC 2013. 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE EMBS, Osaka (2013)
Werndl, C.: Are deterministic descriptions and indeterministic descriptions observationally equivalent? Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40(3), 232–242 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Pont, O., Xu, B. (2014). Cardiodynamic Complexity: Electrocardiographic Characterization of Arrhythmic Foci. In: Mladenov, V.M., Ivanov, P.C. (eds) Nonlinear Dynamics of Electronic Systems. NDES 2014. Communications in Computer and Information Science, vol 438. Springer, Cham. https://doi.org/10.1007/978-3-319-08672-9_37
Download citation
DOI: https://doi.org/10.1007/978-3-319-08672-9_37
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08671-2
Online ISBN: 978-3-319-08672-9
eBook Packages: Computer ScienceComputer Science (R0)