IZH neurons and frequency input relationship


I have been looking at the frequency vs input relationship of my IZH neurons on the single cell level. It seems like there is no limit to this. Rather the relationship is pretty much linear without any limit.
Of course this is not physiological, so my question is: This this the norm with IZH neurons? Or should they display a limiting behaviour with frequency in response to a large stimulus?


This is indeed the expected (although biologically implausible) limit for an Izhikevich neuron.

Here’s a paper which imposes a hard refractory period on top of the base Izhikevich equations which sets an effective maximum firing rate:

In Brian, this modification is very simple to implement
but this refractory period becomes a parameter you would want to justify from prior experiments

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