A dynamic neural network model of self-organized criticality in neuronal avalanches

Self-organized criticality is one of the key mechanisms to explain the emergence of complexity in natural systems, which has been demonstrated in many physical systems. Recently, physiological experiments reported the convincing evidence that the spontaneous activity in brain cortex exhibited neuronal avalanches, which provided that self-organized criticality also play a crucial role in brain. The scientific problem for theoretical works is to analyze the dynamic mechanism of self-organized criticality in the neurosystem. A neural network model, based on the dynamic neurons and synaptic transmissions properties, was developed in this paper. Through the discussion of the balance between the excitatory and inhibitory neurons, the dynamic synaptic transmission process, synaptic plasticity and the temporal connecting structure due to the synaptic delay, we discussed the probable dynamic mechanisms in neuronal avalanches and the difference of the mechanisms of self-organized criticality between the neurosystem and other systems.

[1]  Woodrow L. Shew,et al.  The Functional Benefits of Criticality in the Cortex , 2013, The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry.

[2]  D. Plenz,et al.  Spontaneous cortical activity in awake monkeys composed of neuronal avalanches , 2009, Proceedings of the National Academy of Sciences.

[3]  G. Bi,et al.  Synaptic modification by correlated activity: Hebb's postulate revisited. , 2001, Annual review of neuroscience.

[4]  J. Michael Herrmann,et al.  Criticality of avalanche dynamics in adaptive recurrent networks , 2006, Neurocomputing.

[5]  John M. Beggs,et al.  Neuronal Avalanches in Neocortical Circuits , 2003, The Journal of Neuroscience.

[6]  P. Bak,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[7]  D. Plenz,et al.  The organizing principles of neuronal avalanches: cell assemblies in the cortex? , 2007, Trends in Neurosciences.

[8]  J. M. Herrmann,et al.  Dynamical synapses causing self-organized criticality in neural networks , 2007, 0712.1003.

[9]  Drossel,et al.  Self-organized critical forest-fire model. , 1992, Physical review letters.

[10]  Tanguy Chouard.  Plasticity & neuronal computation , 2004, Nature.

[11]  D. Plenz,et al.  Neuronal avalanches organize as nested theta- and beta/gamma-oscillations during development of cortical layer 2/3 , 2008, Proceedings of the National Academy of Sciences.

[12]  L. Abbott,et al.  Synaptic computation , 2004, Nature.

[13]  D. Chialvo.  Emergent complex neural dynamics , 2010, 1010.2530.

[14]  L. Abbott,et al.  A simple growth model constructs critical avalanche networks. , 2007, Progress in brain research.

[15]  Tang,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[16]  Eugene M. Izhikevich,et al.  Polychronization: Computation with Spikes , 2006, Neural Computation.

[17]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[18]  L. de Arcangelis,et al.  Self-organized criticality model for brain plasticity. , 2006, Physical review letters.

[19]  E. Lu,et al.  Avalanches and the Distribution of Solar Flares , 1991 .