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- Title
Transient spike adding in the presence of equilibria.
- Authors
Farjami, Saeed; Kirk, Vivien; Osinga, Hinke
- Abstract
Many models of neuronal activity exhibit complex oscillations in response to an input from other neurons in a network or to an input from a stimulus. We consider the effect of a single short stimulus on a simple model designed to mimic some features of neuronal dynamics. We focus on the transient response induced by the stimulus, particularly on the spike-adding behaviour of the response. Our main goal is to explain how the transient response is affected by the presence of unstable equilibria. We also investigate the dependence of the number of spikes on the amplitude and duration of the stimulus. In our analysis, we use numerical continuation methods and exploit the presence of different time scales in the model.
- Subjects
EQUILIBRIUM; OSCILLATIONS; NEURAL circuitry; STIMULUS synthesis; NEURONS
- Publication
European Physical Journal: Special Topics, 2016, Vol 225, Issue 13/14, p2601
- ISSN
1951-6355
- Publication type
Article
- DOI
10.1140/epjst/e2015-50332-9