A power-law distribution of phase-locking intervals does not imply critical interaction
arXiv:1208.2659 · doi:10.1103/PhysRevE.86.051920
Abstract
Neural synchronisation plays a critical role in information processing, storage and transmission. Characterising the pattern of synchronisation is therefore of great interest. It has recently been suggested that the brain displays broadband criticality based on two measures of synchronisation - phase locking intervals and global lability of synchronisation - showing power law statistics at the critical threshold in a classical model of synchronisation. In this paper, we provide evidence that, within the limits of the model selection approach used to ascertain the presence of power law statistics, the pooling of pairwise phase-locking intervals from a non-critically interacting system can produce a distribution that is similarly assessed as being power law. In contrast, the global lability of synchronisation measure is shown to better discriminate critical from non critical interaction.
arXiv comment(v3) Fixed error in Figure 1; (v2) Added references. Minor edits throughout. Clarified relationship between theoretical critical coupling for infinite size system and 'effective' critical coupling system for finite size system. Improved presentation and discussion of results; results unchanged. Revised Figure 1 to include error bars on r and N; results unchanged; (v1) 11 pages, 7 figures
References in corpus (9)
- Power-law distributions in empirical data
- Emergent complex neural dynamics
- Critical brain networks
- Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
- Spike Avalanches Exhibit Universal Dynamics across the Sleep-Wake Cycle
- Failure of adaptive self-organized criticality during epileptic seizure attacks
- Can power-law scaling and neuronal avalanches arise from stochastic dynamics?
- Self-similar correlation function in brain resting-state fMRI
- Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators