A Novel Analysis Method to Characterize Heartbeat Dynamics through the Microcanonical Multiscale Formalism

Heartbeat dynamics is a complex signal whose accurate analysis is essential to detect arrhythmias and life-threatening conditions. To achieve this, advanced nonlinear processing methods are needed. In this context, recent developments in the field of reconstructible signals and multiscale information content have lead to the Microcanonical Multiscale Formalism. We show that such framework provides several signal analysis techniques that are especially adapted to the study of heartbeat dynamics. We show that the analysis of electrocardiogram signals and the electric potential measured through catheters at different points inside the human heart permits the detection of slow changing transitions. We detect different regimes of transition between atrial fibrillation and healthy cases, what could be used for early warning and in the treatment of atrial fibrillation.

[1]  Antonio Turiel,et al.  Microcanonical multifractal formalism—a geometrical approach to multifractal systems: Part I. Singularity analysis , 2008 .

[2]  Prashanthan Sanders,et al.  Techniques, Evaluation, and Consequences of Linear Block at the Left Atrial Roof in Paroxysmal Atrial Fibrillation: A Prospective Randomized Study , 2005, Circulation.

[3]  Prashanthan Sanders,et al.  Mapping and Ablation of Ventricular Fibrillation Associated With Long-QT and Brugada Syndromes , 2003, Circulation.

[4]  Richard I. Kitney,et al.  The Study of heart-rate variability , 1980 .

[5]  C L Jonesyxk.  Wavelet packet computation of the Hurst exponent , 1996 .

[6]  L. Amaral,et al.  Multifractality in human heartbeat dynamics , 1998, Nature.

[7]  Stéphane Jaffard,et al.  Multifractal formalism for functions part I: results valid for all functions , 1997 .

[8]  Plamen Ch. Ivanov,et al.  Long-Range Dependence in Heartbeat Dynamics , 2003 .

[9]  T. Musha,et al.  1/f Fluctuation of Heartbeat Period , 1982, IEEE Transactions on Biomedical Engineering.

[10]  She,et al.  Universal scaling laws in fully developed turbulence. , 1994, Physical review letters.

[11]  Jean-Michel Poggi,et al.  Wavelets and their applications , 2007 .

[12]  I. Simonsen,et al.  Determination of the Hurst exponent by use of wavelet transforms , 1997, cond-mat/9707153.

[13]  Antonio Turiel,et al.  Application of the microcanonical multifractal formalism to monofractal systems. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Antonio Turiel,et al.  On Optimal Wavelet Bases for the Realization of Microcanonical Cascade Processes , 2008, Int. J. Wavelets Multiresolution Inf. Process..

[15]  R. Klabunde.  Cardiovascular Physiology Concepts , 2021 .

[16]  Samuel Peter Kozaitis.  Improved feature detection in ECG signals through denoising , 2008 .

[17]  Antonio Turiel.  Relevance of multifractal textures in static images , 2003 .

[18]  Prashanthan Sanders,et al.  Prevalence of pulmonary vein disconnection after anatomical ablation for atrial fibrillation: consequences of wide atrial encircling of the pulmonary veins. , 2005, European heart journal.

[19]  Stéphane Mallat,et al.  Singularity detection and processing with wavelets , 1992, IEEE Trans. Inf. Theory.

[20]  Antonio Turiel,et al.  Numerical methods for the estimation of multifractal singularity spectra on sampled data: A comparative study , 2006, J. Comput. Phys..

[21]  Ovidio Salvetti,et al.  Regional Epicardial Fat Measurement: Computational Methods for Cardiac CT Imaging , 2009, Trans. Mass Data Anal. Images Signals.

[22]  Antonio Turiel,et al.  Reconstructing images from their most singular fractal manifold , 2002, IEEE Trans. Image Process..

[23]  M. Khalid Khan,et al.  Fully Automatic Heart Beat Rate Determination in Digital Video Recordings of Rat Embryos , 2008, Trans. Mass Data Anal. Images Signals.

[24]  Antonio Turiel,et al.  Role of multifractal sources in the analysis of stock market time series , 2005 .

[25]  Prashanthan Sanders,et al.  Frequency Mapping of the Pulmonary Veins in Paroxysmal Versus Permanent Atrial Fibrillation , 2006, Journal of cardiovascular electrophysiology.

[26]  Jeffrey M. Hausdorff,et al.  Long-range anticorrelations and non-Gaussian behavior of the heartbeat. , 1993, Physical review letters.

[27]  I. Daubechies.  Ten Lectures on Wavelets , 1992 .

[28]  Richard G. Baraniuk,et al.  Multiscale queuing analysis of long-range-dependent network traffic , 2000, Proceedings IEEE INFOCOM 2000. Conference on Computer Communications. Nineteenth Annual Joint Conference of the IEEE Computer and Communications Societies (Cat. No.00CH37064).

[29]  Massimo Martinelli,et al.  A Knowledge-based Infrastructure for the Management of Diagnostic Imaging Procedures in the Heart Failure Domain , 2010, Trans. Mass Data Anal. Images Signals.

[30]  Patrice Abry,et al.  On non-scale-invariant infinitely divisible cascades , 2005, IEEE Transactions on Information Theory.

[31]  J Clémenty,et al.  [Mapping and ablation of malignant ventricular arrhythmias]. , 2005, Archives des maladies du coeur et des vaisseaux.

[32]  Antonio Turiel,et al.  Multifractal geometry in stock market time series , 2003 .

[33]  Stéphane Jaffard,et al.  Multifractal formalism for functions part II: self-similar functions , 1997 .

[34]  Prashanthan Sanders,et al.  Organization of Frequency Spectra of Atrial Fibrillation: Relevance to Radiofrequency Catheter Ablation , 2006, Journal of cardiovascular electrophysiology.

[35]  P Roussel,et al.  A wavelet transform for atrial fibrillation Cycle Length measurements , 2009, 2009 36th Annual Computers in Cardiology Conference (CinC).

[36]  Antonio Turiel,et al.  The Multifractal Structure of Contrast Changes in Natural Images: From Sharp Edges to Textures , 2000, Neural Computation.

[37]  S. Mallat.  A wavelet tour of signal processing , 1998 .

[38]  J Clémenty,et al.  Spontaneous initiation of atrial fibrillation by ectopic beats originating in the pulmonary veins. , 1998, The New England journal of medicine.

[39]  Xiaoyi Jiang,et al.  Statistical Analysis of Myocyte Orientations of the Left Ventricular Myocardium , 2007, MDA.