Review Article

Modeling Neural Activity

Figure 17

Can seizure onset be modeled with a Hopf bifurcation? (a) A partial complex seizure spreads and grows in amplitude, suggesting one might model it with a supercritical Hopf bifurcation. (b) A generalized seizure occurs suddenly and at full amplitude, similar to a subcritical Hopf bifurcation. (c) Note that the same seizure as in (b) can also be explained by a perturbation in a bistable regime associated with the subcritical Hopf bifurcation. In this case the transition into the seizure state is not a bifurcation but due to a change of basin of attraction (e.g., [103]).
871472.fig.0017a
(a)
871472.fig.0017b
(b)
871472.fig.0017c
(c)