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Periodic Forcing of Inhibition-Stabilized Networks: Nonlinear Resonances and Phase-Amplitude Coupling

By Romain Veltz and Terrence J. Sejnowski

Abstract

International audienceInhibition stabilized networks (ISNs) are neural architectures with strong positive feedback among pyramidal neurons balanced by strong negative feedback from in-hibitory interneurons, a circuit element found in the hippocampus and the primary vi-sual cortex. In their working regime, ISNs produce damped oscillations in the γ-range in response to inputs to the inhibitory population. In order to understand the proper-ties of interconnected ISNs, we investigated periodic forcing of ISNs. We show that ISNs can be excited over a range of frequencies and derive properties of the resonance peaks. In particular, we studied the phase-locked solutions, the torus solutions and the resonance peaks. More particular, periodically forced ISNs respond with (possibly multi-stable) phase-locked activity whereas networks with sustained intrinsic oscilla-tions respond more dynamically to periodic inputs with tori. Hence, the dynamics are surprisingly rich and phase effects alone do not adequately describe the network re-sponse. This strengthens the importance of phase-amplitude coupling as opposed to phase-phase coupling in providing multiple frequencies for multiplexing and routing information. You can use \terry{text to print}essa

Topics: theta band, Oscillation, gamma band, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [SDV.NEU] Life Sciences [q-bio]/Neurons and Cognition [q-bio.NC]
Publisher: Massachusetts Institute of Technology Press (MIT Press)
Year: 2015
DOI identifier: 10.1162/NECO_a_00786
OAI identifier: oai:HAL:hal-01096590v2
Provided by: HAL-UNICE

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