Modeling excitability in cerebellar stellate cells: Temporal changes in threshold, latency and frequency of firing

•A revised Hodgkin-Huxley type model is considered to show that cerebellar stellate cells exhibit type I excitability with a SNIC.•Model captures temporal changes in excitability (termed runup) during whole-cell patch-clamped configuration.•Model explains how transient single spikes during pre- and post-runup are produced when sub-threshold step currents are applied.•A slow region (ghost of SNIC) generated by the model produces biphasic first-spike latency.•Model exhibits switching in response to a pair of dynamic inhibitory/excitatory inputs.