Quasi-Critical Brain Dynamics on a Non-Equilibrium Widom Line
arXiv:1405.6232 · doi:10.1103/PhysRevE.90.062714
Abstract
Is the brain really operating at a critical point? We study the non-equilibrium properties of a neural network which models the dynamics of the neocortex and argue for optimal quasi-critical dynamics on the Widom line where the correlation length is maximal. We simulate the network and introduce an analytical mean-field approximation, characterize the non-equilibrium phase transition, and present a non-equilibrium phase diagram, which shows that in addition to an ordered and disordered phase, the system exhibits a quasiperiodic phase corresponding to synchronous activity in simulations which may be related to the pathological synchronization associated with epilepsy.
arXiv commentSubmitted to Physical Review Letters on March 29, 2014. Transferred to Physical Review E on August 4, 2014
References in corpus (18)
- Crackling Noise
- Optimal Dynamical Range of Excitable Networks at Criticality
- Relation Between the Widom line and the Strong-Fragile Dynamic Crossover in Systems with a Liquid-Liquid Phase Transition
- Dynamical synapses causing self-organized criticality in neural networks
- Beyond power laws: Universality in the average avalanche shape
- How self-organized criticality works: A unified mean-field picture
- Spike Avalanches Exhibit Universal Dynamics across the Sleep-Wake Cycle
- Predicting criticality and dynamic range in complex networks: effects of topology
- Learning as a phenomenon occurring in a critical state
- Dynamical and Statistical Criticality in a Model of Neural Tissue
- A Simple Model of Epidemics with Pathogen Mutation
- Statistical Properties of Avalanches in Networks
- Mutual Information as a Tool for Identifying Phase Transitions in Dynamical Complex Systems With Limited Data
- How to enhance the dynamic range of excitatory-inhibitory excitable networks
- Single-Neuron Criticality Optimizes Analog Dendritic Computation
- Optimal Channel Efficiency in a Sensory Network
- Scaling behaviour in probabilistic neuronal cellular automata
- Collective oscillations of excitable elements: order parameters, bistability and the role of stochasticity
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- Antiepileptic drugs induce subcritical dynamics in human cortical networks
- Coexistence of critical sensitivity and subcritical specificity can yield optimal population coding
- Theoretical foundations of studying criticality in the brain
- Criticality in spreading processes without time-scale separation and the critical brain hypothesis
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- Griffiths phase and long-range correlations in a biologically motivated V1 model
- Critical neuronal models with relaxed timescales separation
- Description of spreading dynamics by microscopic network models and macroscopic branching processes can differ due to coalescence
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- Dynamic range maximization in excitable networks
- Scale-specific dynamics of large-amplitude bursts in EEG capture behaviorally meaningful variability
- Measuring neuronal avalanches in disordered systems with absorbing states
- Homeostatic Criticality in Neuronal Networks
- Synchronization transitions on connectome graphs with external force
- Dictionary Learning with Equiprobable Matching Pursuit
- Route to chaos in a branching model of neural network dynamics
- Stochastic quorum percolation and noise focusing in neuronal networks
- Backtracking activation impacts the criticality of excitable networks
- 25 years of criticality in neuroscience -- established results, open controversies, novel concepts
- Critical and quasicritical behavior in a three-species dynamical model of semi-directed percolation
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- Entangled criticality and irreversibility in random Markov dynamics