Before revision: The FitzHugh-Nagumo system is a widely used model for describing various modes of neuronal spiking behaviour. We study the responses of FitzHugh-Nagumo neurons to rectangular current pulses and obtain the corresponding threshold curves for excitation. We then show how the geometry of threshold curves allows us to devise a simple model for synaptic integration.
After revision: Synaptic integration is a prominent aspect of neuronal information processing. The detailed mechanisms that modulate synaptic inputs determine the computational properties of any given neuron. We study a simple model for synaptic integration.