Dependence of Oscillation of Spiking Neural Population on Strength of Inhibitory Feedback

Based on linear-response-like approach and simulations, the relationship between the strength of inhibitory feedback and the oscillation is explored by spectral properties of networks with leaky integrate-and-fire neurons under varying feedback strength. It is found that the network oscillation is enhanced sharply with increasing the feedback strength when the feedback is weak, but is insensitive to the feedback strength when the feedback is not weak. These results suggest that inhibitory feedback plays a limited role in enhancing the network oscillation. A qualitative analysis of the limited role of the inhibitory feedback in enhancing network oscillation is also presented.