### Abstract

Effects of cell-to-cell coupling conductance on dynamics of sinus node cells are examined. Cell models are biophysically detailed, and are based on the kinetic equations developed by Noble ct al. [Neuronal and Cellular Oscillators, edited by J. W. Jacklet. Marcel Deckker, New York (1989).] Resistively coupled cell pairs show five regimes of behavior as a function of coupling conductance: (1) independent oscillation for G(c) < 1 pS; (2) primarily quasiperiodic oscillation for 1 less than or equal to G(c) < 116 pS; (3) windows of periodic behavior which undergo 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 equal to 212 pS; (5) waveform entrainment for G(c) greater than or equal to 50 nS. Thus, only 4-5 gap junction channels are required for frequency entrainment. This is shown to also be the case for large networks of sinus cells modeled on the Connection Machine CM-5. A biophysically detailed two-dimensional network model of the cardiac atrium has also been implemented on the CM-5 supercomputer. The model is used to study effects of spatially localized inhibition of the Na-K pump. Na overloading produced by pump inhibition can induce spontaneous, propagating 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.

Original language | English |
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Pages (from-to) | 491-512 |

Number of pages | 22 |

Journal | Chaos, Solitons & Fractals |

Volume | 5 |

Issue number | 3-4 |

Publication status | Published - 1995 |

### Keywords

- MASSIVELY PARALLEL COMPUTER
- GAP JUNCTIONAL CHANNELS
- RAT-HEART
- CALCIUM-CONCENTRATION
- INTRACELLULAR SODIUM
- CONNECTION MACHINE
- STRANGE ATTRACTORS
- PURKINJE-FIBERS
- CELL NETWORKS
- FERRET HEARTS

## Cite this

*Chaos, Solitons & Fractals*,

*5*(3-4), 491-512.