Relations between continuous and discrete models of excitable media

A. Feldman, Y. B. Chernyak, R. J. Cohen

Research output: Contribution to journalConference articlepeer-review


We derived a general eikonal equation describing the evolution of a wavefront propagating in an excitable medium. This equation implements the relation between the propagation speed and the wavefront curvature known from a more detailed theory. We used an approximate solution to obtain equations linking the excitation time scale τ and diffusion constant D of a continuous reaction rate model with the excitation parameters of a discrete cellular automaton model on a randomized lattice.

Original languageEnglish (US)
Pages (from-to)47-48
Number of pages2
JournalAnnual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
Issue number1
StatePublished - Dec 1 1995
EventProceedings of the 1995 IEEE Engineering in Medicine and Biology 17th Annual Conference and 21st Canadian Medical and Biological Engineering Conference. Part 2 (of 2) - Montreal, Can
Duration: Sep 20 1995Sep 23 1995

ASJC Scopus subject areas

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

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