Periodically stimulated adaptive exponential integral-and-fire neuron

LieJune Shiau
Mathematics, University of Houston--Clear Lake

(February 27, 2013 3:00 PM - 3:50 PM)

Periodically stimulated adaptive exponential integral-and-fire neuron

Abstract

Frequency selectivity in the form of mode locking has been shown in stimulated nervous systems for various functional features. To understand the mechanisms behind these features, spiking neuron models have been used to study the precise timing of firing events thought to underlie frequency mode locking.

A number of neuron models have been developed and investigated in producing a large repertoire of neuronal behaviors, in attempts to develop an understanding of relevant functional features. We study a variant of the increasingly common use of the adaptive exponential leaky integrate-and-fire model, and explore mode locked solutions where the neuron is periodically stimulated. We present the analysis of mode locked solutions and their stability, and show numerical results demonstrating our analysis.