A. Vinet et Fa. Roberge, EXCITABILITY AND REPOLARIZATION IN AN IONIC MODEL OF THE CARDIAC CELL-MEMBRANE, Journal of theoretical biology, 170(2), 1994, pp. 183-199
The main objective of this study was to investigate the possibility of
expressing the activation and repolarization processes of a realistic
ionic model of the myocyte membrane in terms of simplified dynamic eq
uivalents. The modified Beeler-Reuter model (MBR) of the ventricular m
embrane was selected for this purpose because its action potential ups
troke, plateau and repolarization phase occur along sufficiently well
separated timescales. The information on the MBR model dynamics was ob
tained by premature stimulation at various coupling intervals, under s
table conditions of regular pacing at different cycle lengths. A gener
al method was developed to study the threshold behaviour of the system
. As a first step, a pair of complementary threshold criteria was defi
ned in terms of peak ionic current and time to repolarization in order
to reliably distinguish between classes of sub-threshold and supra-th
reshold responses. One of the main conclusions is that the activation
of the MBR model by short-duration stimuli (< 5 msec) can be accuratel
y represented by a one-variable or a two-variable dynamic equivalent.
In addition, because of the large surge of Na+ current at threshold, t
he recovery of excitability is essentially independent of the conditio
ning action potential waveform (no threshold-memory effect). Another m
ajor result pertains to the higher complexity of the repolarization pr
ocess, stressing the critical role played by the activation dynamics o
f the secondary inward current. There is a substantial dependence of t
he action potential duration (APD) on the conditioning action potentia
l waveform (APD-memory effect), and at least a three-variable model is
necessary for a reasonable approximation.