Exploring a regular-spiking limit of autoregressive point-process models with an absolute refractory period

These notes explore a deterministic limit of Autoregressive Point-Process Generalized Linear Model (AR-PPGLM) of a spiking neuron. We consider a Poisson point process that is either strongly driven or strongly suppressed, and take a limit where spiking output becomes deterministic (and instantaneous rates diverge). This deterministic limit is of interest in clarifying how AR-PPGLM models relate to deterministic models of spiking.

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Moment equations for an autoregressive point process with an absolute refractory period

These notes extend the autoregressive point-process moment closures derived in Rule and Sanguinetti (2018) to models that include an absolute refractory period via a gating term that sets the rate to zero after a spike.

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