Robustness of Griffiths effects in homeostatic connectome models

Abstract

I provide numerical evidence for the robustness of the Griffiths phase (GP) reported previously in dynamical threshold model simulations on a large human brain network with N=836733 connected nodes. The model, with equalized network sensitivity, is extended in two ways: introduction of refractory states or by randomized time dependent thresholds. The non-universal power-law dynamics in an extended control parameter region survives these modifications for a short refractory state and weak disorder. In case of temporal disorder the GP shrinks and for stronger heterogeneity disappears, leaving behind a mean-field type of critical transition. Activity avalanche size distributions below the critical point decay faster than in the original model, but the addition of inhibitory interactions sets it back to the range of experimental values.

arXiv comment9 pages, 10 figures, accepted version in PRE

References in corpus (35)

• Emergent complex neural dynamics
• Universality classes in nonequilibrium lattice systems
• Colloquium: Criticality and dynamical scaling in living systems
• Brain organization into resting state networks emerges at criticality on a model of the human connectome
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Griffiths phases and the stretching of criticality in brain networks
• Information-based fitness and the emergence of criticality in living systems
• Predicting criticality and dynamic range in complex networks: effects of topology
• Avalanche and spreading exponents in systems with absorbing states
• Griffiths phases on complex networks
• Strong disorder fixed point in absorbing state phase transitions
• Optimal hierarchical modular topologies for producing limited sustained activation of neural networks
• Universality in sandpiles
• Frustrated hierarchical synchronization and emergent complexity in the human connectome network
• Infinite disorder scaling of random quantum magnets in three and higher dimensions
• Hysteresis, neural avalanches and critical behaviour near a first-order transition of a spiking neural network
• Neutral theory and scale-free neural dynamics
• Temporal Griffiths Phases
• Quenched disorder forbids discontinuous transitions in nonequilibrium low-dimensional systems
• Homeostatic plasticity and emergence of functional networks in a whole-brain model at criticality
• Griffiths phases and localization in hierarchical modular networks
• The topology of large Open Connectome networks for the human brain
• Griffiths effects of the susceptible-infected-susceptible epidemic model on random power-law networks
• Robust short-term memory without synaptic learning
• Infinite-noise criticality: Nonequilibrium phase transitions in fluctuating environments
• Critical dynamics on a large human Open Connectome network
• Spectral analysis and slow spreading dynamics on complex networks
• Slow dynamics and rare-region effects in the contact process on weighted tree networks
• Griffiths phases in infinite-dimensional, non-hierarchical modular networks
• Avalanche precursors of failure in hierarchical fuse networks
• Slow, bursty dynamics as the consequence of quenched network topologies
• Rare regions of the Susceptible Infected Susceptible model on Barabási-Albert networks
• Spatio-temporal generalization of the Harris criterion and its application to diffusive disorder
• Rounding of abrupt phase transitions in brain networks
• Contact process with mobile disorder

Cited by in corpus (8)

• Evidence for quasicritical brain dynamics
• Critical synchronization dynamics of the Kuramoto model on connectome and small world graphs
• Does the brain behave like a (complex) network? I. Dynamics
• Universal and non-universal neural dynamics on small world connectomes: a finite size scaling analysis
• Heterogeneous excitable systems exhibit Griffiths phases below hybrid phase transitions
• Synchronization transitions on connectome graphs with external force
• Modelling on the very large-scale connectome
• Contact process with simultaneous spatial and temporal disorder