Abstract
In this chapter, we are summarizing the basic principles underlying intracardiac electrogram recording and interpretation, some of their technical and clinical applications in cardiac electrophysiology, and the signal processing steps required in various applications.
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Notes
- 1.
Mathematical descriptions of electrogram or electrocardiogram recordings have used different physical models. In a model of an electrical dipole in a volume conductor and using principles enounced by Helmholtz in 1853, the amplitude (V) is inversely proportional to the square of the distance (V = M × cos α × R –2)8, 9 where M is the moment of the dipole, R is the distance from the recording electrode to the dipole, and α is the angle between the dipole and the distance vector. Using solid angle and dipole moment,10 the recorded signal amplitude (E) is proportional to the surface area of the excitation front (A) and inversely proportional to the square of the distance (R) [E = (A/R 2 ) × (V/4π)], where V is the voltage across the cell membrane. More complex equations have been used to describe effects of electrical activity in strands or cables (cells, Purkinje fibers).11
- 2.
The “sharpness” of the potential (V) signal can be simplistically described by dV/dt; the distance exponent in the first derivative will be higher: if V ∼ surface area of excitation front (S) × R –2, then sharpness of electrograms (∼dV/dt) is ∼S × (−2) × (dR/dt) × R –3; hence, the slope and sharpness of the recorded signal decrease with increasing distance even more rapidly than the amplitude of the signal.
- 3.
This derives from these simple models, because if the distance between electrodes is L, and if L << R, then V1–V2 ≈ dV, which is proportional to d(R –n) = n × (R –n–1) × dR = n × (R –n–1) × dL× cos α, where α is the angle between the vector of the distance to the signal source dipole and the line between the two electrodes (Fig. 19.4).
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Chicos, A.B., Kadish, A.H. (2010). Intracardiac Electrograms. In: Goldberger, J., Ng, J. (eds) Practical Signal and Image Processing in Clinical Cardiology. Springer, London. https://doi.org/10.1007/978-1-84882-515-4_19
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