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Stability criterion for a two-neuron reciprocally

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Sorinel A. Oprisan and Carmen C. Canavier

Editorial: Neurocomputing, 65-66, p.733–739, 2005.


Previously, we have used open-loop-phase resetting curves (PRCs) that were tabulated for
postsynaptic neurons using a perturbation equal to a burst in the presynaptic neuron to
predict the patterns exhibited by a closed-loop circuit containing these bursting neurons. This
requires the assumption that the phase resetting observed in the circuit is the same with or
without the feedbackthat occurs in a closed circuit, yet both the duration and waveform of the
bursts can change under these conditions. Experimental and theoretical studies have shown
that the amount of phase resetting produced in a neural oscillator by a synaptic input depends
not only on the stimulus timing (phase), but also on its intensity and duration. The effects of
variations in the synaptic coupling due to the waveform of the burst envelope or changes in
frequency were ignored here, but the effects of the burst duration were incorporated into the
stability analysis by tabulating the burst resetting curve (BRC) as a function of the phase of
the presynaptic input in the open-loop condition.

Cuvinte cheie: neuroscience, nonlinear dynamics