Synchronization phenomena in networks of oscillatory and excitable Luo-Rudy cells

G. V. Osipov, O. I. Kanakov, C. K. Chan, J. Kurths, S. K. Dana, L. S. Averyanova, V. S. Petrov

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations

Abstract

We study collective phenomena in nonhomogeneous autonomous and forced cardiac cell culture models, including one- and two-dimensional lattices of oscillatory cells and mixtures of oscillatory and excitable cells. Individual cell dynamics is described by a modified Luo-Rudy model with depolarizing current. We focus on the transition from incoherent behavior to global synchronization via cluster synchronization regimes as coupling strength is increased. These regimes are characterized qualitatively by space-time plots and quantitatively by profiles of local frequencies and distributions of cluster sizes in dependence upon coupling strength. We describe spatio-temporal patterns arising during this transition, including pacemakers, spiral waves and complicated irregular activity. We investigate the influence of external force on the processes of control of cardiac activity, e.g. on the suppression of spiral wave chaos in the network.

Original languageEnglish
Title of host publicationComplex Dynamics in Physiological Systems
Subtitle of host publicationFrom Heart to Brain
EditorsSyamal Dana, Prodyot Roy, Jurgen Kurths
Pages107-126
Number of pages20
DOIs
StatePublished - 2009

Publication series

NameUnderstanding Complex Systems
Volume2009
ISSN (Print)1860-0832
ISSN (Electronic)1860-0840

Keywords

  • Cardiac tissue
  • Chaos
  • Chaos suppression
  • Concentric waves
  • Spiral waves
  • Synchronization

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