IntroductionThe interface between the pacing electrode and the endocardium is more than just a simple ohmic type electrical contact [1,2]. This is evident from the comparison of the old signals obtained by photoanalysis with the pacing pulse output by the pacemaker. This pulse measured across the pacemaker terminals is a voltage pulse whereas the signal measured by skin electrodes is the current image of this pulse. The morphological differences between voltage and current signals are due to the composite electrical nature of the heart-electrode interface.
Purpose and interest of the studyWe propose to model the heart-electrode interface as an electric circuit and to determine the value of each of the components. This will make it possible to compare electrodes (of different models and within a given model), establish the role of the blood and endocardium by proceeding measurements under different conditions as well as to determine the polarization of the interface universally from knowledge of the polarization circuit and the applied signal (a voltage or current signal of known duration).
Model, theoretical analysisThe contact between the electrode and endocardium in the blood electrolytes electrically forms a capacitor C. This capacitor, highly imperfect, is shunted by its leakage resistor R connected in parallel with C. Resistor r, in series with this parallel RC circuit, corresponds to the ohmic resistance of the wire, the tissue resistance and the plasma resistance (electrolytes) [3][4][5][6][7].The simplest model is therefore the electric circuit below:We will neglect the inductive effect due to the spiral structure of the wire, because our measurements have shown it to be extremely low. In addition, this inductive effect is applied only for a very short time, when the pacing pulse is being generated. Taking this effect into account would unnecessarily complicate the model.If this circuit is supplied by a square pulse with a constant voltage V, the current I through the circuit is dependent on time and satisfies the following first order differential equation: