Frequency response functions for cortical microcircuits
© Ulinski; licensee BioMed Central Ltd. 2009
Published: 13 July 2009
where the summation is over all of the N populations of neurons. The time-dependent coefficients give the time course of synaptic interactions of all neurons in the ith population by all of the neurons in the jth population. The coefficients were determined by fitting the solutions of the above equation to the results of simulations using the large-scale model. In this study, we characterized the responses of the system to sinusoidal inputs of varying frequencies. The responses of the system consisted of a transient response and a steady-state sinusoidal response. The transient response consisted of two activity peaks that corresponded to the primary and secondary propagating waves seen in this cortex. The amplitudes of both peaks varied as a function of stimulus input and showed a resonant peak at 20 Hz. Individual neurons can show both low and high frequency resonance peaks [5, 6] due to the passive properties of the neuronal membranes and active properties of voltage gated ion channels. This work suggests that cortical networks can have resonant properties that differ from those of their constituent neurons.
This work was supported by a grant from the CRCNS program at the NSF.
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