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Open AccessJournal ArticleDOI

Neuronal Avalanches in Neocortical Circuits

John M. Beggs, +1 more
- 03 Dec 2003 - 
- Vol. 23, Iss: 35, pp 11167-11177
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TLDR
This work shows that propagation of spontaneous activity in cortical networks is described by equations that govern avalanches, and suggests that “neuronal avalanches” may be a generic property of cortical networks, and represent a mode of activity that differs profoundly from oscillatory, synchronized, or wave-like network states.
Abstract
Networks of living neurons exhibit diverse patterns of activity, including oscillations, synchrony, and waves. Recent work in physics has shown yet another mode of activity in systems composed of many nonlinear units interacting locally. For example, avalanches, earthquakes, and forest fires all propagate in systems organized into a critical state in which event sizes show no characteristic scale and are described by power laws. We hypothesized that a similar mode of activity with complex emergent properties could exist in networks of cortical neurons. We investigated this issue in mature organotypic cultures and acute slices of rat cortex by recording spontaneous local field potentials continuously using a 60 channel multielectrode array. Here, we show that propagation of spontaneous activity in cortical networks is described by equations that govern avalanches. As predicted by theory for a critical branching process, the propagation obeys a power law with an exponent of -3/2 for event sizes, with a branching parameter close to the critical value of 1. Simulations show that a branching parameter at this value optimizes information transmission in feedforward networks, while preventing runaway network excitation. Our findings suggest that “neuronal avalanches” may be a generic property of cortical networks, and represent a mode of activity that differs profoundly from oscillatory, synchronized, or wave-like network states. In the critical state, the network may satisfy the competing demands of information transmission and network stability.

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Citations
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Journal ArticleDOI

Organization, development and function of complex brain networks

TL;DR: It is suggested that network analysis offers new fundamental insights into global and integrative aspects of brain function, including the origin of flexible and coherent cognitive states within the neural architecture.
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Reconstruction and Simulation of Neocortical Microcircuitry

Henry Markram, +92 more
- 08 Oct 2015 - 
TL;DR: A first-draft digital reconstruction of the microcircuitry of somatosensory cortex of juvenile rat is presented, finding a spectrum of network states with a sharp transition from synchronous to asynchronous activity, modulated by physiological mechanisms.
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Polychronization: Computation with Spikes

TL;DR: A minimal spiking network that can polychronize, that is, exhibit reproducible time-locked but not synchronous firing patterns with millisecond precision, as in synfire braids is presented.
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Emergent complex neural dynamics

TL;DR: Viewing the brain in terms of collective dynamics is one approach now yielding some insight.
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The log-dynamic brain: how skewed distributions affect network operations

TL;DR: This work has suggested that skewed (typically lognormal) distributions are fundamental to structural and functional brain organization and may help to understand how the different levels of skewed distributions — from synapses to cognition — are related to each other.
References
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Book

Elements of information theory

TL;DR: The author examines the role of entropy, inequality, and randomness in the design of codes and the construction of codes in the rapidly changing environment.
Journal ArticleDOI

Self-organized criticality: An explanation of the 1/ f noise

TL;DR: It is shown that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point, and flicker noise, or 1/f noise, can be identified with the dynamics of the critical state.
Journal ArticleDOI

Dynamic predictions: Oscillations and synchrony in top–down processing

TL;DR: It is argued that coherence among subthreshold membrane potential fluctuations could be exploited to express selective functional relationships during states of expectancy or attention, and these dynamic patterns could allow the grouping and selection of distributed neuronal responses for further processing.
Journal ArticleDOI

Visual feature integration and the temporal correlation hypothesis

TL;DR: The mammalian visual system is endowed with a nearly infinite capacity for the recognition of patterns and objects, but to have acquired this capability the visual system must have solved what is a fundamentally combinatorial prob­ lem.
Book

The Theory of Branching Processes

T. E. Harris
TL;DR: A review of the Galton and Watson mathematical model that applies probability theory to the effects of chance on the development of populations is given in this article, followed by a systematic development of branching processes, and a brief description of some of the important applications.
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