MODE LOCKING IN A PERIODICALLY FORCED "GHOSTBURSTING" NEURON MODEL

Mode Locking in a Periodically Forced "ghostbursting" Neuron Model

We study a minimal integrate-and-fire based model of a “ghostbursting” neuron under periodic stimulation. These neurons are involved in sensory processing in weakly electric fish. There exist regions in parameter space in which the model neuron is mode-locked to the stimulation. We analyse this locked behavior and examine the bifurcations that define the boundaries of these regions. Due to the ...

Mode locking in a periodically forced integrate-and-fire-or-burst neuron model.

The minimal "integrate-and-fire-or-burst" (IFB) neuron model reproduces the salient features of experimentally observed thalamocortical relay neuron response properties, including the temporal tuning of both tonic spiking (i.e., conventional action potentials) and post-inhibitory rebound bursting mediated by the low-threshold Ca2+ current, I(T). In previous work focusing on experimental and IFB...

Mode locking in a periodically forced resonate-and-fire neuron model.

The resonate-and-fire (RF) model is a spiking neuron model which from a dynamical systems perspective is a piecewise smooth system (impact oscillator). We analyze the response of the RF neuron oscillator to periodic stimuli by expressing the firing events in terms of an implicit one-dimensional time map. Based on such a firing map, we describe mode-locked solutions and their stability, leading ...

Mode locking and spatiotemporal chaos in periodically driven Gunn diodes.

Periodically forced piecewise-Linear Adaptive exponential Integrate-and-Fire Neuron

Although variability is a ubiquitous characteristic of the nervous system, under appropriate conditions neurons can generate precisely timed action potentials. Thus considerable attention has been given to the study of a neuron’s output in relation to its stimulus. In this study, we consider an increasingly popular spiking neuron model, the adaptive exponential integrateand-fire neuron. For ana...