Critical dynamics on a large human Open Connectome network

Abstract

Extended numerical simulations of threshold models have been performed on a human brain network with N=836733 connected nodes available from the Open Connectome project. While in case of simple threshold models a sharp discontinuous phase transition without any critical dynamics arises, variable thresholds models exhibit extended power-law scaling regions. This is attributed to fact that Griffiths effects, stemming from the topological/interaction heterogeneity of the network, can become relevant if the input sensitivity of nodes is equalized. I have studied the effects effects of link directness, as well as the consequence of inhibitory connections. Non-universal power-law avalanche size and time distributions have been found with exponents agreeing with the values obtained in electrode experiments of the human brain. The dynamical critical region occurs in an extended control parameter space without the assumption of self organized criticality.

7 pages, 6 figures, accepted version to appear in PRE

References in corpus (7)

• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Spike Avalanches Exhibit Universal Dynamics across the Sleep-Wake Cycle
• Griffiths phases on complex networks
• Monte-Carlo simulations of the clean and disordered contact process in three dimensions
• Slow dynamics and rare-region effects in the contact process on weighted tree networks
• Rare regions of the Susceptible Infected Susceptible model on Barabási-Albert networks
• Rounding of abrupt phase transitions in brain networks

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• The effect of noise on the synchronization dynamics of the Kuramoto model on a large human connectome graph
• Robustness of Griffiths effects in homeostatic connectome models
• Correlation functions as a tool to study collective behaviour phenomena in biological systems
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• Modelling on the very large-scale connectome
• Scale-free behavior of weight distributions of connectomes
• Apparently similar neuronal dynamics may lead to different collective repertoire