Skip to main content
Log in

Model Study of Vector-Loop Morphology During Electrical Mapping of Microscopic Conduction in Cardiac Tissue

  • Published:
Annals of Biomedical Engineering Aims and scope Submit manuscript

Abstract

The large variety in loop morphology of potential differences recorded at the cardiac surface has been generally attributed to structural discontinuities of the tissue. The aim of this work was to examine if the diversity of vector loops of the electric field E found experimentally may also arise during continuous anisotrope conduction. For this purpose a monodomain computer model was used, consisting of a two-dimensional sheet of excitable tissue surrounded with an unbounded volume conductor. Close to the tissue surface our computations predicted a narrow biphasic course of Φe with peak-to-peak separation of less than 400 μm. We examined how accurately E could be reconstructed from measurements recorded with four-element electrode arrays and how activation sequence, interelectrode spacing, and probe orientation affects the results. We found “closed” vector loops of E in planar, and at the apex of elliptical wave fronts, whereas outside of these regions vector loops were “open.” Varying probe orientation and size resulted in substantial changes of vector-loop morphology. We concluded that close to the cardiac current sources accurate measurement of E would require interelectrode distances of less than 100 μm. © 2000 Biomedical Engineering Society.

PAC00: 8719Nn, 8719Hh

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Arisi, G., E. Macchi, C. Corradi, R. L. Lux, and B. Taccardi. Epicardial excitation during ventricular pacing. Circ. Res. 71:840–849, 1992.

    Google Scholar 

  2. Bayly, P. V., B. H. KenKnight, G. M. Rogers, R. E. Hillsley, R. E. Ideker, and W. M. Smith. Estimation of conduction velocity vector fields from epicardial mapping data. IEEE Trans. Biomed. Eng. 45 5:563–571, 1998.

    Google Scholar 

  3. Boineau, J. P., C. B. Miller, R. B. Schuessler, W. R. Roeske, L. J. Autry, A. C. Wylds, and D. A. Hill. Activation sequence and potential distribution maps demonstrating multicentric atrial impulse origin in dogs. Circ. Res. 54:332–347, 1984.

    Google Scholar 

  4. de Bakker, J. M. T., R. N. W. Hauer, and T. A. Simmers. Activation mapping: Unipolar versus bipolar recording. In: Cardiac Electrophysiology, edited by D. P. Zipes and J. Jalife. Philadelphia, PA: Saunders, 1995, pp. 1068–1078.

    Google Scholar 

  5. Geselowitz, D. B., R. C. Barr, M. S. Spach, and W. T. Miller III. The impact of adjacent isotropic fluids on electrograms from anisotropic cardiac muscle-A modeling study. Circ. Res. 51:602–613, 1982.

    Google Scholar 

  6. Hofer, E., G. Urban, M. S. Spach, I. Schafferhofer, G. Mohr, and D. Platzer. Measuring activation patterns of the heart at a microscopic size scale with thin-film sensors. Am. J. Physiol. 266:H2136–H2145, 1994.

    Google Scholar 

  7. Hofer, E, I. Schafferhofer, and G. Mohr. The effect of interelectrode distances on measurements of the local potential gradient of the propagating cardiac excitation at a microscopic size scale. Proceeding of the 17th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 1995 (unpublished).

  8. Hofer, E., G. Mohr, A. C. Jorge, D. Platzer, and I. Schafferhofer. Is the discrete coupling of cardiac cells reflected in the wave front of extracellular potentials? -An experimental approach. Int. J. Bifurcation Chaos Appl. Sci. Eng. 6 9:1767–1773, 1996.

    Google Scholar 

  9. Kadish, A. H., J. F. Spear, J. H. Levine, R. F. Hanich, C. Prood, and E. N. Moore. Vector mapping of myocardial activation. Circulation 74:603–615, 1986.

    Google Scholar 

  10. Kadish, A. H., and J. F. Spear. Identification of conduction block in cardiac muscle: In vitro observations in canine epicardium. Cardiovasc. Res. 28:259–269, 1994.

    Google Scholar 

  11. Leon, L. J., and F. A. Roberge. Directional characteristics of action potential propagation in cardiac muscle. Circ. Res. 69:378–395, 1991.

    Google Scholar 

  12. Leon, L. J., and F. X. Witkowski. Calculation of transmembrane current from extracellular potential recordings: A model study. J. Cardiovasc. Electrophysiol. 6:379–390, 1995.

    Google Scholar 

  13. Luo, C., and Y. Rudy. A model of the ventricular cardiac action potential. Depolarization and their interaction. Circ. Res. 68:1501–1526, 1991.

    Google Scholar 

  14. Mohr, G., E. Hofer, and G. Plank. A new real-time mapping system to detect microscopic cardiac excitation patterns. Biomed. Instrumentation Technol. 33:455–461, 1999.

    Google Scholar 

  15. Spach, M. S., and J. M. Kootsey. Relating the sodium current and conductance to the shape of transmembrane and extracellular potentials by simulation: Effects of propagation boundaries. IEEE Trans. Biomed. Eng. BME-32:743–755, 1985.

    Google Scholar 

  16. Witkowski, F. X., K. M. Kavanagh, P. A. Penkoske, and R. Plonsey. In vivo estimation of cardiac transmembrane current. Circ. Res. 72:424–439, 1993.

    Google Scholar 

  17. Witkowski, F. X., K. M. Kavanagh, P. A. Penkoske, and R. Plonsey. Epicardial cardiac source-field behavior. IEEE Trans. Biomed. Eng. 42:552–558, 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Plank, G., Hofer, E. Model Study of Vector-Loop Morphology During Electrical Mapping of Microscopic Conduction in Cardiac Tissue. Annals of Biomedical Engineering 28, 1244–1252 (2000). https://doi.org/10.1114/1.1320841

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1114/1.1320841

Navigation