File:Excitable-Neurons-Firing-Threshold-Manifolds-and-Canards-2190-8567-3-12-S1.ogv

English: Here we present Fig. 8 and 9 in animated form. As tauS varies, the folded-saddle canard is shifted. This canard forms the firing threshold manifold and so the excitability of the cell is thus altered. The singular limit predicts a range of τs values for which rebound spiking occurs; τs∈[5,24]. a Singular limit (i.e., ε=0) solution trajectories. The singular canard (red) and singular faux canard (blue) organize trajectories and govern excitability. The singular canard forms the firing threshold manifold. b Singular limit prediction of spiking. The base point remains independent of τs while the position of the singular canard varies with τs. This alters excitability and gives rise to a window of τs values for which spiking occurs (MOV 264 kB)