A minimal model for a slow pacemaking neuron

We have constructed a phenomenological model for slow pacemaking neurons. Many of these neurons also differentially respond to various types of stimulation. The model is based on FitzHugh-Nagumo (FHN) oscillator and implements a nonlinearity introduced by a current that depends on an ion concentration. The comparison with the original FHN oscillator has shown that the new nonlinear dependence allows for differentiating responses to various stimuli. We discuss implications of our results for a broad class of neurons.