Journal
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Volume 7, Issue 4, Pages 1582-1611Publisher
SIAM PUBLICATIONS
DOI: 10.1137/070699093
Keywords
theto rhythm; reduction-of-dimensions; mixed-mode oscillations; canards; folded node
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Funding
- NSF [DMS-0717670]
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Stellate cells (SCs) of the medial entorhinal cortex (layer II) display mixed-mode oscillatory activity, subthreshold oscillations (small-amplitude) interspersed with spikes (large amplitude), at theta frequencies (8-12 Hz). In this paper we study the mechanism of generation of such patterns in an SC biophysical (conductance-based) model. In particular, we show that the mechanism is based on the three-dimensional canard phenomenon and that the subthreshold oscillatory phenomenon is intrinsically nonlinear, involving the participation of both components (fast and slow) of a hyperpolarization-activated current in addition to the voltage and a persistent sodium current. We discuss some consequences of this mechanism for the SC intrinsic dynamics as well as for the interaction between SCs and external inhibitory inputs.
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