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. Author manuscript; available in PMC: 2011 Dec 1.
Published in final edited form as: J Neural Eng. 2011 Nov 4;8(6):065002. doi: 10.1088/1741-2560/8/6/065002

Figure 4.

Figure 4

Initiation of afterdischarge by multiple perturbations. Bifurcation analysis in figure 3(B) showed that a single spike may be insufficient to provoke afterdischarge despite the system being bistable. We predicted that a stronger perturbation, such as multiple evoked spikes, would trigger afterdischarge if that cumulative perturbation was sufficient to force the Vz trajectory across the saddle point. As predicted, three spikes evoked at 15 ms intervals were sufficient to initiate afterdischarge. On the time series, note that z did not fall below the saddle point after the third evoked spike. Similarly, the Vz trajectory approached the stable branch of the bifurcation diagram from the near side of the saddle point after the first two evoked spikes, but approached from the far side after the third evoked spike, after which point afterdischarge was inevitable.