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Sunday, July 19 • 7:00pm - 8:00pm
P224: Hopf Bifurcation in Mean Field Explains Critical Avalanches in Excitation-Inhibition Balanced Neuronal Networks: A Mechanism for Multiscale Variabilit

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Meeting ID: 825 980 1008

Junhao Liang
, Tianshou Zhou, Changsong Zhou

Cortical neural circuits display highly irregular spiking in individual neurons but variably sized collective firing, oscillations and critical avalanches at the population level, all of which have functional importance for information processing. Theoretically, the balance of excitation and inhibition inputs is thought to account for spiking irregularity and critical avalanches may originate from an underlying phase transition. However, the theoretical reconciliation of these multilevel dynamic aspects remains an open question. Herein, we show that excitation-inhibition (E-I) balanced network with synaptic kinetics can maintain irregular spiking dynamics with different levels of synchrony and critical avalanches emerge near the synchronous transition point. The mechanism is unveiled by a novel mean-field theory that derives the field equations governing the network macroscopic dynamics. It reveals that the E-I balanced state of the network manifesting irregular individual spiking is characterized by a macroscopic stable state, which can be either a fixed point or a periodic motion and the transition is predicted by a Hopf bifurcation in the macroscopic field. Furthermore, these multiscale variable behaviours can be jointly observed in the spontaneous activities of mouse cortical slice _in vitro_ , indicating universality of the theoretical prediction. Our theory unveils the mechanism that permits complex neural activities in different spatiotemporal scales to coexist and elucidates a possible origin of the criticality of neural systems. It also provides a theoretical framework for analyzing the macroscopic dynamics of E-I balanced networks and its relationship to the microscopic counterparts, which can be useful for large-scale modeling and computation of cortical dynamics.

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This work is supposed to be presented by Dr. Junhao Liang 

avatar for Changsong Zhou

Changsong Zhou

Professor, Physics, Hong Kong Baptist University
Dr. Changsong Zhou, Professor, Department of Physics, Director of Centre for Nonlinear Studies, Hong Kong Baptist University (HKBU). Dr. Zhou’s research interest is dynamical processes on complex systems. His current emphasis is on analysis and modeling connectivity and activity... Read More →

Sunday July 19, 2020 7:00pm - 8:00pm CEST
Slot 06