GENERATION AND PROPAGATION OF NORMAL AND ABNORMAL PACEMAKER ACTIVITY IN NETWORK MODELS OF CARDIAC SINUS NODE AND ATRIUM

R L WINSLOW, D M CAI, A VARGHESE, Y C LAI, Ying-Cheng Lai

Research output: Contribution to journalArticle

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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 languageEnglish
Pages (from-to)491-512
Number of pages22
JournalChaos, Solitons & Fractals
Volume5
Issue number3-4
Publication statusPublished - 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

GENERATION AND PROPAGATION OF NORMAL AND ABNORMAL PACEMAKER ACTIVITY IN NETWORK MODELS OF CARDIAC SINUS NODE AND ATRIUM. / WINSLOW, R L ; CAI, D M ; VARGHESE, A ; LAI, Y C ; Lai, Ying-Cheng.

In: Chaos, Solitons & Fractals, Vol. 5, No. 3-4, 1995, p. 491-512.

Research output: Contribution to journalArticle

WINSLOW, R L ; CAI, D M ; VARGHESE, A ; LAI, Y C ; Lai, Ying-Cheng. / GENERATION AND PROPAGATION OF NORMAL AND ABNORMAL PACEMAKER ACTIVITY IN NETWORK MODELS OF CARDIAC SINUS NODE AND ATRIUM. In: Chaos, Solitons & Fractals. 1995 ; Vol. 5, No. 3-4. pp. 491-512.
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AB - 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.

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KW - RAT-HEART

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KW - INTRACELLULAR SODIUM

KW - CONNECTION MACHINE

KW - STRANGE ATTRACTORS

KW - PURKINJE-FIBERS

KW - CELL NETWORKS

KW - FERRET HEARTS

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JO - Chaos, Solitons & Fractals

JF - Chaos, Solitons & Fractals

SN - 0960-0779

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ER -