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Resonant response of a Hodgkin-Huxley neuron to a spike train input
© Borkowski; licensee BioMed Central Ltd. 2009
Published: 13 July 2009
Experiments show that neurons have a tendency to respond to signals tuned to a resonant frequency . In order to understand the general properties of a resonant response of a neuron, we study the silent Hodgkin-Huxley neuron driven by periodic input. The current arriving through the synapse consists of a set of spikes I p (t) ~ gsyn ∑(t/τ) exp(-t/τ) C(t) (V a -V syn ), where g syn is the synapse conductivity, τ is the time constant associated with the synapse conduction, Va is the maximum membrane potential and Vsyn is the reversal potential of the synapse.
Part of the numerical computation was performed in the Computer Center of the Tri-city Academic Computer Network in Gdansk, Poland.
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