Fenton-Karma model

Fenton-Karma model on a 1D ring:
Oscillations of APD


This applet simulates the propagation of action potentials on a ring (the edge at the right is the same as the edge at the left). An action potential is initiated by applying a stimulus. At short ring lengths, the pacing cycle length is effectively decreased, and alternans develop. The alternans are spatially discordant; that is, as the wave propagates, it initiates action potentials whose durations vary between long and short.

To use the applet, press the Start button. This generates a single action potential that is initially blocked on the right so it only propagates to the left. The simulation can be paused with the Stop button and resumed using the simulation and the simulation will resume by using the Cont. button. Click inside the plot to initiate more activations. The location of each activation corresponds to the location on the x-axis and the magnitude of the activation corresponds to the value on the y-axis. To make the simulation run faster or slower, click on the corresponding buttons. To return the membrane potential of all cells to the rest value, click Reset. To initiate the original single pulse, click Restart. To adjust the size of the ring, click on Larger ring or Smaller ring.

Things to try:

  • Click Smaller ring to decrease the ring size and effectively decrease the stimulation period. Decrease the size to around 225 points to see alternans begin.
  • Decrease the ring size further to about 190 points to reach conduction block, when the wave is extinguished.
  • Alternatively, increase the ring size before conduction block is reached to determine the cycle length needed for alternans to be eliminated.

    For more information, see
    Fenton FH, Karma A. (1998) Phys Rev Lett 81, 481-484.