Figure 5.
The periodic solutions in Case 1 when the A-current is moderate (a) or strong (b). (a) Left panel: a modest A-current causes a phase delay to the active state. Middle panel: the periodic solutions in the v-w phase plane. Right panel: The trajectory in the w-h phase plane, which shows the dynamics on the middle branch. The trajectory reaches the curve of the lower knee (LK) during Tin, therefore the membrane potential reaches the active state after a phase delay. (b) Left panel: the follower neuron cannot reach the active state when the A-current is strong. Middle panel: the periodic solutions in the v-w phase plane. The trajectory jumps back to the left branch when the inhibition starts. Right panel: The trajectory reaches the curve of the fixed point (FP), and then it moves downward along FP. It does not reach LK during Tin, therefore the membrane potential does not reach the active state. The arrows in the left and middle panels denote the inactive (black), active (red) and intermediate (blue) states. The labels [1–4] in the middle panels denote the v-nullcline corresponding to the times denoted by the same label in the left panel.