Spreading of excitation in 3-D models of the anisotropic cardiac tissue. I. Validation of the eikonal model.

@article{Franzone1993SpreadingOE,
  title={Spreading of excitation in 3-D models of the anisotropic cardiac tissue. I. Validation of the eikonal model.},
  author={Piero Colli Franzone and Luciano Guerri},
  journal={Mathematical biosciences},
  year={1993},
  volume={113 2},
  pages={145-209}
}
In this work we investigate, by means of numerical simulations, the performance of two mathematical models describing the spread of excitation in a three dimensional block representing anisotropic cardiac tissue. The first model is characterized by a reaction-diffusion system in the transmembrane and extracellular potentials v and u. The second model is derived from the first by means of a perturbation technique. It is characterized by an eikonal equation, nonlinear and elliptic in the… CONTINUE READING

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