Diffusion and wave propagation in cellular automaton models of excitable media

[1]  A ROSENBLUETH,et al.  The mathematical formulation of the problem of conduction of impulses in a network of connected excitable elements, specifically in cardiac muscle. , 1946, Archivos del Instituto de Cardiologia de Mexico.

[2]  O. Selfridge,et al.  Studies on flutter and fibrillation; some notes on the theory of flutter. , 1948, Archivos del Instituto de Cardiologia de Mexico.

[3]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[4]  R. D. Richtmyer,et al.  Difference methods for initial-value problems , 1959 .

[5]  W. Rheinboldt,et al.  A COMPUTER MODEL OF ATRIAL FIBRILLATION. , 1964, American heart journal.

[6]  A. Zhabotinsky,et al.  Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System , 1970, Nature.

[7]  A. Winfree.  Spiral Waves of Chemical Activity , 1972, Science.

[8]  S. A. MacKay.  Computer simulation of aggregation in Dictyostelium discoideum. , 1978, Journal of cell science.

[9]  J. Rinzel,et al.  The dependence of impulse propagation speed on firing frequency, dispersion, for the Hodgkin-Huxley model. , 1981, Biophysical journal.

[10]  E. A. Ermakova,et al.  Rotating spiral waves in a modified Fitz-Hugh-Nagumo model , 1984 .

[11]  R. Cohen,et al.  Simple finite-element model accounts for wide range of cardiac dysrhythmias. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[12]  J. Keener.  A geometrical theory for spiral waves in excitable media , 1986 .

[13]  L. Schulman,et al.  Percolation and Galaxies , 1986, Science.

[14]  A. Winfree.  When time breaks down , 1987 .

[15]  A. V. Panfilopv.  Two regimes of the scroll ring drift in the three-dimensional active media , 1987 .

[16]  A. T. Winfree,et al.  Simulation of Wave Processes in Excitable Media , 1988 .

[17]  J. Keener,et al.  Singular perturbation theory of traveling waves in excitable media (a review) , 1988 .

[18]  James P. Keener,et al.  Dispersion of traveling waves in the Belousov-Zhabotinskii reaction , 1988 .

[19]  W. Skaggs,et al.  Chemical vortex dynamics in the Belousov-Zhabotinskii reaction and in the two-variable oregonator model , 1989 .

[20]  B. Hess,et al.  Isotropic cellular automaton for modelling excitable media , 1990, Nature.

[21]  J. Tyson,et al.  A cellular automaton model of excitable media. III: fitting the Belousov-Zhabotinskiic reaction , 1990 .

[22]  J. Tyson,et al.  A cellular automaton model of excitable media. II: curvature, dispersion, rotating waves and meandering waves , 1990 .

[23]  J. Tyson,et al.  A cellular automation model of excitable media including curvature and dispersion. , 1990, Science.

[24]  Wolfgang Jahnke,et al.  A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL , 1991 .

[25]  V. Fast,et al.  Stability of vortex rotation in an excitable cellular medium , 1991 .