Kinematic analysis of spiral waves in a discrete element model of neuromuscular tissue

Andrew B. Feldman, Yuri B. Chernyak, Richard J. Cohen

Research output: Contribution to journalConference article

Abstract

We performed a kinematical analysis of a spiral wave in a discrete cellular automata (CA) model approximating poorly excitable neuromuscular tissue. The CA parameter values for the medium were obtained via matching specific features of the CA traveling wave solutions to those of a particular reaction-diffusion (RD) model. In kinematical theory, the spiral wave is treated as a curve obeying certain equations of motion determined by the dependence of wave speed c on wave front curvature κ in the medium. We computed c(κ) in our model directly from the CA excitation rules. Treating the core radius as a phenomenological parameter, we then solved for the (kinematic) theoretical value of the spiral period. The good agreement between the predicted value and the measured CA value demonstrates the quantitative reliability of our CA modeling approach. Our computationally efficient CA model thus provides a powerful tool for the study of arrhythmogenesis in the heart.

Original languageEnglish (US)
Pages (from-to)9-12
Number of pages4
JournalAnnual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
Volume1
StatePublished - Dec 1 1997
EventProceedings of the 1997 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society - Chicago, IL, USA
Duration: Oct 30 1997Nov 2 1997

ASJC Scopus subject areas

  • Signal Processing
  • Biomedical Engineering
  • Computer Vision and Pattern Recognition
  • Health Informatics

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