"... To help decipher the biophysical basis for ‘paroxysmal’
spiking, we replicated afterdischarge (i.e. continued spiking after a brief stimulus) in a
minimal conductance-based axon model.
could abruptly switch the system between two (quasi-)stable attractor states: rest and
Initiation of afterdischarge was explained by activation of the
persistent inward current forcing the system to cross a saddle point that separates the basins of
attraction associated with each attractor.
Termination of afterdischarge was explained by the
attractor associated with repetitive spiking being destroyed.
The model also explains other features of
paroxysmal symptoms, including temporal summation and refractoriness."
Coggan JS, Ocker GK, Sejnowski TJ, Prescott SA (2011) Explaining pathological changes in axonal excitability through dynamical analysis of conductance-based models. J Neural Eng 8:065002 [PubMed]