A new Cellular Automata Model of Cardiac Action Potential Propagation based on Summation of Excited Neighbors

Authors: F. Pourhasanzade, S. H. Sabzpoushan

Abstract:

The heart tissue is an excitable media. A Cellular Automata is a type of model that can be used to model cardiac action potential propagation. One of the advantages of this approach against the methods based on differential equations is its high speed in large scale simulations. Recent cellular automata models are not able to avoid flat edges in the result patterns or have large neighborhoods. In this paper, we present a new model to eliminate flat edges by minimum number of neighbors.

Keywords: Cellular Automata, Action Potential Simulation, Isotropic Pattern.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1081643

References:

[1] A. Defontaine, A. Hern_andez, and G. Carrault," Multi-Formalism Modelling of Cardiac Tissue," HAL author manuscript, Lecture notes in computer science 13/06/2005; 3504/2005 394-403
[2] R. H. Clayton, "Computational models of normal and abnormal action potential propagation in cardiac tissue: linking experimental and clinical cardiology," Physiol. Meas. 22 R15-R34, 2001
[3] P. B. Gharpure, C.r R. Johnson, "A Cellular Automaton Model of Electrical Activation in Canine Ventricles: A Validation Study," SCI INSTITUTE, 1995
[4] B. E. H. Saxberg, R. J. Cohen, "Global Analysis of Self-Sustained Reentry by Cellular Automata Models," @ 1991 IEEE
[5] E. Costa Monteiro, L. C. Miranda, A. C. Bruno, and P. Costa Ribeiro, "A Cellular Automaton Computer model for the study of magnetic detection of cardiac tissue activation during artial flutter," IEEE transaction on magnetics, Vol. 34, NO. 5, Sep. 1998
[6] K. M. Moe, C.R. Werner, J.A. Abildson, N.Y. Utica, "A computer model of atrial fibrillation," American Heart Journal, Vol 67, pp 200-220, 1964
[7] M. Gerhardt, H. Schuster, J.J Tyson, "A cellular automation model of excitable media including curvature and dispersion," Science, Vol 247, pp 1563-1566, 1990
[8] M. Markus, B. Hess, "Isotropic cellular automaton for modelling excitable media," Nature, Vol 347, pp 56-58, 1990
[9] J.R Weimar, J.J Tyson, L.T Watson, "Diffusion and wave propagation in cellular automaton models of excitable media," Physica D, Vol 55, pp 309-327, 1992
[10] J.R Weimar, J.J Tyson, L.T Watson, "Third generation Cellular Automaton for Modeling Excitable Media," Physica D, Vol 55, pp 328- 339, 1992