A frequency domain analysis of spatial organization of epicardial maps

Mapping of organized rhythms like sinus rhythm uses activation times from individual electrograms, and often assumes that the map for a single activation is similar to maps for subsequent activations. However, during fibrillation, activation times and electrograms are not easy to define, and maps change from activation to activation. Volume and complexity of data make analysis of more than a few seconds of fibrillation difficult. Magnitude squared coherence (MSC), a frequency domain measure of the phase consistency between two signals, can be used to help interpret longer data segments without defining activation times or electrograms. Sinus rhythm, flutter, and fibrillation in humans and swine were mapped with an array of unipolar electrodes (2.5 mm apart) at 240 sites on the atrial or ventricular epicardium. Four-second data segments were analyzed. One site near the center of the array was chosen ad hoc as a reference. MSC maps were made by measuring mean MSC from 0-50 Hz between every point in the array relative to the reference. Isocoherence contours were drawn. The effects of bias in the coherence estimate due to misalignment were investigated. Average MSC versus distance from the reference was measured for all rhythms. Results indicate that in a 4-s segment of fibrillation, there can exist some phase consistency between one site and the reference and little or none between a second site and the reference even when both sites are equidistant from the reference. In fibrillation, isocoherence contours are elongated and irregularly shaped, reflecting long-term, but nonuniform, spatial organization. That is, activation during fibrillation cannot be considered as random over a 4-s interval, Bias in the coherence estimate due to misalignment is significant for sinus rhythm and flutter, but can be corrected by manual realignment. Average MSC drops with distance for all rhythms, being most pronounced for fibrillation, MSC maps may provide insights into long-term spatial organization of rhythms that would otherwise be cumbersome and difficult to interpret with standard time domain analysis.<<ETX>>

[1]  P. Lander,et al.  Identifying uncertainty in epicardial activation maps , 1992, Proceedings Computers in Cardiology.

[2]  M. Allessie,et al.  Experimental evaluation of Moe's multiple wavelet hypothesis of atrial fibrillation , 1985 .

[3]  P. Wolf,et al.  A Quantitative Measurement of Spatial Orderin Ventricular Fibrillation , 1993, Journal of cardiovascular electrophysiology.

[4]  M. Spach,et al.  Relating Extracellular Potentials and Their Derivatives to Anisotropic Propagation at a Microscopic Level in Human Cardiac Muscle: Evidence for Electrical Uncoupling of Side‐to‐Side Fiber Connections with Increasing Age , 1986, Circulation research.

[5]  L. Clerc Directional differences of impulse spread in trabecular muscle from mammalian heart. , 1976, The Journal of physiology.

[6]  G. Carter,et al.  Estimation of the magnitude-squared coherence function via overlapped fast Fourier transform processing , 1973 .

[7]  G. Feld,et al.  Mechanism of Double Potentials Recorded During Sustained Atrial Flutter in the Canine Right Atrial Crush‐Injury Model , 1992, Circulation.

[8]  Chrysostomos L. Nikias,et al.  The Zero-Delay Wavenumber Spectrum Estimation for the Analysis of Array ECG Signals-An Alternative to Isopotential Mapping , 1986, IEEE Transactions on Biomedical Engineering.

[9]  E. Moore,et al.  Epicardial mapping in Wolff-Parkinson-White syndrome. , 1978, Archives of internal medicine.

[10]  E. V. Simpson,et al.  The Assumptions of Isochronal Cardiac Mapping , 1989, Pacing and clinical electrophysiology : PACE.

[11]  P. Ursell,et al.  Electrophysiologic and anatomic basis for fractionated electrograms recorded from healed myocardial infarcts. , 1985, Circulation.

[12]  G. Carter,et al.  Bias in magnitude-squared coherence estimation due to misalignment , 1980 .

[13]  V. Benignus Estimation of the coherence spectrum and its confidence interval using the fast Fourier transform , 1969 .

[14]  A. Sahakian,et al.  Computer Discrimination of Atrial Fibrillation and Regular Atrial Rhythms from Intra‐Atrial Electrograms , 1988, Pacing and clinical electrophysiology : PACE.

[15]  A. Nuttall,et al.  Statistics of the estimate of the magnitute-coherence function , 1973 .

[16]  A L Waldo,et al.  Characterization of double potentials in human atrial flutter: studies during transient entrainment. , 1990, Journal of the American College of Cardiology.

[17]  W G Stevenson,et al.  Fractionated endocardial electrograms are associated with slow conduction in humans: evidence from pace-mapping. , 1989, Journal of the American College of Cardiology.

[18]  G. Moe,et al.  On the multiple wavelet hypothesis o f atrial fibrillation. , 1962 .

[19]  M. Allessie,et al.  Influences of anisotropic tissue structure on reentrant circuits in the epicardial border zone of subacute canine infarcts. , 1988, Circulation research.

[20]  S Swiryn,et al.  Differentiation of ventricular tachyarrhythmias. , 1990, Circulation.

[21]  P Lander,et al.  Ambiguities of epicardial mapping. , 1992, Journal of electrocardiology.

[22]  M S Spach,et al.  Propagating depolarization in anisotropic human and canine cardiac muscle: apparent directional differences in membrane capacitance. A simplified model for selective directional effects of modifying the sodium conductance on Vmax, tau foot, and the propagation safety factor. , 1987, Circulation research.

[23]  T. H. Bullock,et al.  Coherence of compound field potentials reveals discontinuities in the CA1-subiculum of the hippocampus in freely-moving rats , 1990, Neuroscience.

[24]  R C Barr,et al.  Extracellular Potentials Related to Intracellular Action Potentials during Impulse Conduction in Anisotropic Canine Cardiac Muscle , 1979, Circulation research.

[25]  J. Francis Heidlage,et al.  Influence of the Passive Anisotropic Properties on Directional Differences in Propagation Following Modification of the Sodium Conductance in Human Atrial Muscle: A Model of Reentry Based on Anisotropic Discontinuous Propagation , 1988, Circulation research.

[26]  J. Kupersmith,et al.  Electrophysiologic mapping during open heart surgery. , 1976, Progress in cardiovascular diseases.

[27]  T. Bullock,et al.  Lateral coherence of the electrocorticogram: a new measure of brain synchrony. , 1989, Electroencephalography and clinical neurophysiology.

[28]  R. Cabot A note on the application of the Hilbert transform to time delay estimation , 1981 .

[29]  R. Ideker,et al.  Efficient electrode spacing for examining spatial organization during ventricular fibrillation , 1993, IEEE Transactions on Biomedical Engineering.

[30]  M S Spach,et al.  Anisotropic structural complexities in the genesis of reentrant arrhythmias. , 1991, Circulation.

[31]  S Swiryn,et al.  The coherence spectrum. A quantitative discriminator of fibrillatory and nonfibrillatory cardiac rhythms. , 1989, Circulation.