Model 2c on a 1D Ring
Model 2c on a 1D Ring
The slope of the APD restitution curve is greater than
one for periods less than 300 ms (maximum slope is 4.5),
but strong electrotonic effects
prevent alternans at all periods.
The applet reproduces the results shown with black lines (Model 2c, see Figure 3 caption in paper for more information).
The applet simulates the propagation of an action potential on a ring (the edge at the right is the same as the edge at the left).
BUTTONS:
The
Start button generates one action potential which is blocked on the right so that it only propagates to the left.
The
Stop button then can stop the simulation at any time. The simulation can be resumed by using the Continue button that replaces the Stop button when the simulation is stopped.
The simulation speed can be increased or decreased by clicking on the Faster or Slower buttons repeatedly until the
desired speed is reached.
The
Reset button brings the membrane potential of all the cells back to the rest state.
The
Restart button reinitiates the original single pulse.
USE:
The period of the propagating action potential depends on the size of the ring, so that by changing the
ring size the period is also changed.
At the begining of the simulation the pulse (after a few rotations) will have a period of
379 ms (APD=239 ms, DI=140 ms) for the initial size of the ring (360 points).
Slowly decrease the ring size by clicking on the
Smaller ring button (each click decreases the ring size by 5 points).
Note that for this model no alternans develops for any period (ring size). However,
depending on how quickly the size is changed, small-magnitude transient alternans may be observed
while the action potential adjusts to the new period.
The minimum period is 74 ms (APD=47 ms DI=27 ms, 40 points).
Note that changing the ring size while the wave front is at the edges may terminate the reentry. To avoid this problem, change the ring size only when the wave front is not near the left and right boundaries.