Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy

Figure 2

Example of DC offset in the model. (Left) Recreation of simulation of five different dynamical behaviors shown in Wendling et al. [18]. The inset shows values for parameters and that vary for each phase while is fixed at 5. (Right) A bifurcation diagram showing the nullcline that predicts the DC offset based on the inhibitory gain, , for three different values (8, 38, and 45). Filled circles are stable equilibrium points that correspond to similar mean values in the simulated EEG on the left (dashed lines). Open circles indicate bifurcations between stability and instability on the nullcline. The dark line between the open circles represents a continuous region of unstable equilibrium points.