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Perturbations both trigger and delay seizures due to generic properties of slow-fast relaxation oscillators
Fig 8
Response of perturbations for the phenomenor.
We plot the change in the seizure rate Δ for a random train of pulses following a Gaussian distribution of mean time Ts and standard deviation σ denoted as 
. Panels (A) and (B) correspond to the deterministic periodic case 
and to the random case 
, respectively. For panel (A) we plot a purple solid line corresponding to the bifurcation of the phase map (25). We plot the same curve as a dashed purple curve in panel (B) illustrating the resilience of the deterministic phase-locked states to noise. For the specific details about the numerical computation of this Figure, we refer the reader to Materials and Methods section.
doi: https://doi.org/10.1371/journal.pcbi.1008521.g008