A non-autonomous bursting model for neurons

摘要: Certain mammalian visual neurons exhibit On and Off responses when given a light stimulus. In addition to these responses, [51] showed that for retinal ganglion cells, the neuron will also Mixed response two simultaneous stimuli in different regions of cell's receptive field. This is nonlinear combination responses. this dissertation, single cell model which can reproduce On, Off, developed examined using leading order analyses averaging. from current balance equation includes non-autonomous input I( t), consists three coupled, first-order differential equations describe dynamics membrane potential cell. When I(t) assumed be constant pulse, reproduced but depend on both duration amplitude input. monotone slowly decreasing, properties stimuli. conditions guarantee each type found subsystems model.