Abstract

Phase-amplitude coupling (PAC) describes the phenomenon where the power of a high-frequency oscillation evolves with the phase of a low-frequency one. We propose a model that explains the emergence of PAC in two commonly-accepted architectures in the brain, namely, a high-frequency neural oscillation driven by an external low-frequency input and two interacting local oscillations with distinct, locally-generated frequencies. We further propose an interconnection structure for brain regions and demonstrate that low-frequency phase synchrony can integrate high-frequency activities regulated by local PAC and control the direction of information flow across distant regions.

Highlights

  • Oscillatory activity at multiple frequency bands is widely observed in many natural, biological, and technological systems

  • Brain signals recorded by various techniques, e.g., local field potential, electroencephalograph, and magnetoencephalograph, have revealed that phase-amplitude coupling (PAC) emerges in numerous brain regions, including auditory and prefrontal cortices [5], nucleus [6], and hippocampus [7], and plays a crucial role in motor functions [8] and cognitive processes such as working memory [9], attention [10], and learning [11]

  • We have focused on studying cross-frequency phase-amplitude coupling in neuronal networks

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Summary

INTRODUCTION

Oscillatory activity at multiple frequency bands is widely observed in many natural, biological, and technological systems. Inspired by previous studies showing that low-frequency oscillations are better suited for establishing long-distance interactions than high-frequency ones [12,33], we put forth an interconnection structure [see Fig. 1(d)] in which crossregion interactions exist only between slow populations. This structure underlies the integration of cross-frequency coupling with same-frequency phase synchronization and constitutes a building block that can be scaled to form large networks. We demonstrate the important role that long-distance same-frequency phase synchrony, together with regional PAC, plays in the coordination of high-frequency local activity and in information routing

OSCILLATOR MODEL
EMERGENCE OF PAC BY EXOGENOUS INPUTS
PAC BY LOCAL INTERACTIONS
PHASE SYNCHRONY GOVERNS PAC ACROSS DISTANT REGIONS
CONCLUDING REMARKS
Modulation Index
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