Effect of Heterogeneity and Noise on Cross Frequency Phase-Phase and Phase-Amplitude Coupling. (March 2014)

• Record Type: Journal Article
• Authors: Tikidji-Hamburyan, Ruben; Lin, Eric C.; Gasparini, Sonia; Canavier, Carmen C.
• Is Part Of: Network. Volume 25:Number 1/2(2014)
• Page Start: 38
• Page End: 62
• Publication Date: 2014-03
• Subjects: Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; 006.32
• DOI: 10.3109/0954898X.2014.886781
• Languages: English
• ISSNs: 0954-898X

Abstract

<abstract> <title> <x xml:space="preserve">Abstract</x> </title> <p>Cross-frequency coupling is hypothesized to play a functional role in neural computation. We apply phase resetting theory to two types of cross-frequency coupling that can occur when a slower oscillator periodically forces one or more oscillators: phase-phase coupling, in which the two oscillations are phase-locked, and phase-amplitude coupling, in which the amplitude of the driven oscillation is modulated. Our first result is that the shape of the phase resetting curve predicts the tightness of locking to a pulsatile forcing periodic input at any ratio of forced to intrinsic period; the tightness of the locking decreases as the ratio increases. Theoretical expressions were obtained for the probability density of the phases for a population of heterogeneous oscillators or a noisy single oscillator. Results were confirmed using two types of simulated networks and experiments on hippocampal CA1 neurons. Theoretical expressions were also obtained and confirmed for the probability density of N spike times within a single cycle of low frequency forcing. The second result is a suggested mechanism for phase-amplitude coupling in which progressive desynchronization leads to decreasing amplitude during a low frequency forcing cycle. Network simulations confirmed the theoretical viability of this mechanism, and that it generalizes to more diffuse input.</p> </abstract>