Bursting of neurons under slow wave stimulation

Hopf bifurcation of the H-H neuron was computed by numerical methods and discharge of H-H neuron under slow wave stimulation was studied by simulation. It is shown that slow wave can result in neuron bursting, especially the long time-course bursting, and onset of the bursting is related with Hopf bifurcation. The results prompt that bursting and supernormal excitability of neurons can be induced by slow excitatory synaptic reaction when it is big enough. This phenomenon probably can be used to explain the seizure of some diseases (such as epilepsy).