Journal
JOURNAL OF COMPUTATIONAL NEUROSCIENCE
Volume 22, Issue 2, Pages 173-189Publisher
SPRINGER
DOI: 10.1007/s10827-006-0006-6
Keywords
phase-response theory; synaptic noise; theta rhythm; stellate cell
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Neuronal oscillations are a robust phenomenon occurring in a variety of brain regions despite considerable amounts of noise. In this article classical phase-response theory is generalized to the case of noisy weak-coupling regimes by deriving an iterated map for the asynchrony of spikes in an oscillation cycle. Two criteria are introduced to check the validity of our approximations: One criterion tests the assumption that all neurons fire exactly once per cycle, the other criterion tests for linearity. The framework is applied to stellate cells of the medial entorhinal cortex layer II. We find that rhythmogenesis is more robust in the case of excitatory noise as compared to inhibitory noise. It is shown that a network of stellate cells can also act as a generator of theta if the neurons are connected via a fast-oscillating network of inhibitory interneurons.
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