Recurrent Patterns of Atrial Depolarization During Atrial Fibrillation Assessed by Recurrence Plot Quantification

Abstract

The aim of this study was to determine the presence of organization of atrial activation processes during atrial fibrillation (AF) by assessing whether the activation sequences are wholly random or are governed by deterministic mechanisms. We performed both linear and nonlinear analyses based on the cross correlation function (CCF) and recurrence plot quantification (RPQ), respectively. Recurrence plots were quantified by three variables: percent recurrence (PR), percent determinism (PD), and entropy of recurrences (ER). We recorded bipolar intra-atrial electrograms in two atrial sites during chronic AF in 19 informed subjects, following two protocols. In one, both recording sites were in the right atrium; in the other protocol, one site was in the right atrium, the other one in the left atrium. We extracted 19 episodes of type I AF (Wells' classification). RPQ detected transient recurrent patterns in all the episodes, while CCF was significant only in ten episodes. Surrogate data analysis, based on a cross-phase randomization procedure, decreased PR, PD, and ER values. The detection of spatiotemporal recurrent patterns together with the surrogate data results indicate that during AF a certain degree of local organization exists, likely caused by deterministic mechanisms of activation. © 2000 Biomedical Engineering Society.

PAC00: 8719Nn, 8719Hh, 8780-y, 0705Kf

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REFERENCES

  1. 1Allessie, M. A., W. E. J. E. P. Lammers, F. I. M. Bonke, and J. Hollen. Experimental evaluation of Moe's multiple wavelet hypothesis of atrial fibrillation. In: Cardiac electrophysiology and arrhythmias, edited by D. P. Zipes and J. Jalife. New York: Grune and Stratton, 1985, pp.265-276.

    Google Scholar 

  2. 2Allessie, M., K. Koning, C. Kirchhof, and M. Wijffels. Electrophysiologic Mechanisms of Perpetuation of Atrial Fibrillation. Am. J. Cardiol.77:10A-23A, 1996.

    Google Scholar 

  3. 3Barbaro, V., P. Bartolini, R. Bernardini, G. Calcagnini, F. Martelli, and S. Morelli. An algorithm for the detection and classification of atrial fibrillation from intra-atrial electrograms., 1998.

  4. 4Botteron, G. W., and J. M. Smith. A technique for measurement of the extent of atrial activation during atrial fibrillation in the intact human heart. IEEE Trans. Biomed. Eng.42:579-586, 1995.

    Google Scholar 

  5. 5Colosimo, A., A. Giuliani, M. Mancini, G. Piccirillo, and V. Marigliano. Estimating a cardiac age by means of heart rate variability. Am. J. Physiol. Heart Circ. Physiol.273:H1841-H1847, 1997.

    Google Scholar 

  6. 6Dabiré, H., D. Mestivier, J. Jarnet, M. E. Safar, and N. P. Chau. Quantification of sympathetic and parasympathetic tones by non-linear indexes in normotensive rats. Am. J. Physiol. Heart Circ. Physiol.275:H1290-H1297, 1998.

    Google Scholar 

  7. 7Eckmann, J. P., S. O. Kamphorst, and D. Ruelle. Recurrence plots of dynamical systems. Europhys. Lett.4:973-977, 1987.

    Google Scholar 

  8. 8Garfinkel, A., P. S. Chen, D. O. Walter, H. S. Karagueuzian, B. Kogan, S. J. Evans, M. Karpoukhin, C. Hwang, T. Uchida, M. Gotoh, O. Nwasakwa, P. Sager, and J. N. Weiss. Quasiperiodicity and chaos in cardiac fibrillation. J. Clin. Invest.99:305-314, 1997.

    Google Scholar 

  9. 9Gerstenfeld, E. P., A. V. Sahakian, and S. Swiryn. Evidence for transient linking of atrial excitation during atrial fibrillation in humans. Circulation86:375-382, 1996.

    Google Scholar 

  10. 10Giuliani, A., and C. Manetti. Hidden peculiarities in the potential energy time series of a tripeptide highlighted by a recurrence plot analysis; a molecular dynamic simulation. Phys. Rev. E53:6336-6340, 1996.

    Google Scholar 

  11. 11Gray, R. A., J. Jalife, A. V. Panfilov, W. T. Baxter, C. Cabo, J. M. Davidenko, and A. M. Pertsov. Mechanism of cardiac fibrillation. Science270:1222-1233, 1995.

    Google Scholar 

  12. 12Gray, R. A., A. M. Pertsov, and J. Jalife. Spatial and temporal organization during cardiac fibrillation. Nature (London)392:75-78, 1995.

    Google Scholar 

  13. 13Hoekstra, B. P. T., C. G. H. Diks, M. A. Allessie, and J. DeGoede. Non-linear analysis of epicardial atrial electrograms of electrically induced atrial fibrillation in man. J. Cardiovasc. Electrophysiol.6:419-440, 1995.

    Google Scholar 

  14. 14Hoffman, B. F., and M. R. Rosen. Cellular mechanisms for cardiac arrhythmias. PACE11:610-621, 1988.

    Google Scholar 

  15. 15Jalife, J., O. Berenfeld, A. Skanes, and R. Mandapati. Mechanisms of atrial fibrillation: mother rotors or multiple daughter wavelets, or both?J. Cardiovasc. Electrophysiol.9:S2-S12, 1998.

    Google Scholar 

  16. 16Jenkins, K. J., E. P. Walsh, S. D. Colan, D. M. Bergau, J. P. Saul, and J. E. Lock. Multipolar endocardial mapping of the right atrium during cardiac catheterization: description of a new technique. J. Am. Coll. Cardiol.22:1105-1110, 1993.

    Google Scholar 

  17. 17Kaplan, D. T., and R. J. Cohen. Is fibrillation chaos?Circ. Res.67:886-892, 1990.

    Google Scholar 

  18. 18Mestivier, D., N. P. Chau, X. Chanudet, B. Baudeceau, and P. Larroque. Relationship between diabetic autonomic dysfunction and heath rate variability assessed by recurrence plot. Am. J. Physiol. Heart Circ. Physiol.272:H1094-H1099, 1997.

    Google Scholar 

  19. 19Moe, G. K., On the multiple wavelet hypothesis of atrial fibrillation. Arch. Int. Pharmacodyn. Ther.140:83-188, 1962.

    Google Scholar 

  20. 20Moe, G. K., W. C. Rheinboldt, and J. A. Abildskov. A computer model of atrial fibrillation. Am. Heart J.67:200-220, 1964.

    Google Scholar 

  21. 21Osaka, M., K. H. Chon, and R. J. Cohen. Distinguish cardiac randomness from chaos. J. Cardiovasc. Electrophysiol.6:441-442, 1995.

    Google Scholar 

  22. 22Pitschner, H. F., A. Berkovic, S. Grumbrecht, and J. Neuzner. Multielectrode basket catheter mapping for human atrial fibrillation. J. Cardiovasc. Electrophysiol.9:S48-56, 1998.

    Google Scholar 

  23. 23Prichard, D., and J. Theiler. Generating surrogate data for time series with several simultaneously measured variables. Phys. Rev. Lett.73:951-954, 1994.

    Google Scholar 

  24. 24Provenzale, A. Distinguishing between low-dimensional dynamics and randomness in measured time series. 58, 1992.

  25. 25Ropella, K. M., A. V. Sahakian, J. M. Baerman, and S. Swiryn. The coherence spectrum: a quantitative discriminator of fibrillatory and non-fibrillatory cardiac rhythms. Circulation80:112-119, 1989.

    Google Scholar 

  26. 26Skanes, A. C., R. Mandapati, O. Berenfeld, J. M. Davidenko, and J. Jalife. Spatiotemporal periodicity during atrial fibrillation in the isolated sheep heart. Circulation98:1236-1248, 1998.

    Google Scholar 

  27. 27Sparrow, C. The Lorentz equations: bifurcations, chaos, and strange attractors. New York: Springer, 1982.

    Google Scholar 

  28. 28Theiler, J., S. Eubank, A. Longtin, B. Galdrikian, and J. D. Farmer. Testing for nonlinearity in time series: The method of surrogate data. Physica D58:77-94, 1992.

    Google Scholar 

  29. 29Webber, C. L., and J. P. Zbilut. Dynamical assessment of physiological systems and states using recurrence plot strategies. J. Appl. Physiol.: Respir., Environ. Exercise Physiol.76:965-973, 1994.

    Google Scholar 

  30. 30Wells, J. L., R. B. Karp, N. T. Kouchoukos, W. A. H. Maclean, T. N. James, and A. L. Waldo. Characterization of atrial fibrillation in man: studies following open-heart surgery. PACE1:426-438, 1978.

    Google Scholar 

  31. 31Witkowski, F. X., K. M. Kavanagh, P. A. Penkoske, R. Plonsey, M. L. Spano, W. L. Ditto, and D. T. Kaplan. Evidence for determinism in ventricular fibrillation. Phys. Rev. Lett.75:1230-1233, 1995.

    Google Scholar 

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Censi, F., Barbaro, V., Bartolini, P. et al. Recurrent Patterns of Atrial Depolarization During Atrial Fibrillation Assessed by Recurrence Plot Quantification. Annals of Biomedical Engineering 28, 61–70 (2000). https://doi.org/10.1114/1.248

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  • Atrial arrhythmia
  • Spatiotemporal organization
  • Nonlinear analysis
  • Intra-atrial electrograms