Rl. Winslow et al., GENERATION AND PROPAGATION OF NORMAL AND ABNORMAL PACEMAKER ACTIVITY IN NETWORK MODELS OF CARDIAC SINUS NODE AND ATRIUM, Chaos, solitons and fractals, 5(3-4), 1995, pp. 491-512
Effects of cell-to-cell coupling conductance on dynamics of sinus node
cells are examined. Cell models are biophysically detailed, and are b
ased on the kinetic equations developed by Noble ct al. [Neuronal and
Cellular Oscillators, edited by J. W. Jacklet. Marcel Deckker, New Yor
k (1989).] Resistively coupled cell pairs show five regimes of behavio
r as a function of coupling conductance: (1) independent oscillation f
or G(c) < 1 pS; (2) primarily quasiperiodic oscillation for 1 less tha
n or equal to G(c) < 116 pS; (3) windows of periodic behavior which un
dergo period doubling bifurcation to chaos for 116 less than or equal
to G(c) < 212 pS; (4) frequency entrainment for G(c) greater than or e
qual to 212 pS; (5) waveform entrainment for G(c) greater than or equa
l to 50 nS. Thus, only 4-5 gap junction channels are required for freq
uency entrainment. This is shown to also be the case for large network
s of sinus cells modeled on the Connection Machine CM-5. A biophysical
ly detailed two-dimensional network model of the cardiac atrium has al
so been implemented on the CM-5 supercomputer. The model is used to st
udy effects of spatially localized inhibition of the Na-K pump. Na ove
rloading produced by pump inhibition can induce spontaneous, propagati
ng ectopic beats within the network. At a cell-to-cell coupling value
yielding a realistic plane wave conduction velocity of 60 cms(-1) pump
inhibition in small regions of the network containing as few as 1000
cells can induce propagating ectopic beats.