Critical-like Brain Dynamics in a Continuum from Second- to First-Order Phase Transition
- Sheng H. Wang1,2,3,4,
- Felix Siebenhühner1,3,
- Gabriele Arnulfo1,5,
- Vladislav Myrov1,4,
- Lino Nobili6,7,8,
- Michael Breakspear9,
- Satu Palva1,10, and
- J. Matias Palva1,4,10
- 1Neuroscience Center, Helsinki Institute of Life Science, University of Helsinki, 00014 Helsinki, Finland
- 2Doctoral Programme Brain & Mind, University of Helsinki, 00014 Helsinki, Finland
- 3BioMag Laboratory, HUS Medical Imaging Center, 00290 Helsinki, Finland
- 4Department of Neuroscience and Biomedical Engineering, Aalto University, 00076 Espoo, Finland
- 5Department of Informatics, Bioengineering, Robotics and System Engineering, University of Genoa, 16136 Genoa, Italy
- 6Department of Neurosciences, Rehabilitation, Ophthalmology, Genetics and Maternal and Children's Sciences, University of Genoa, 16136 Genoa, Italy
- 7Child Neuropsychiatry Unit, Istituto Di Ricovero e Cura a Carattere Scientifico Istituto Giannina Gaslini, 16147 Genoa, Italy
- 8Centre of Epilepsy Surgery “C. Munari,” Department of Neuroscience, Niguarda Hospital, 20162 Milan, Italy
- 9College of Engineering, Science and Environment, College of Health and Medicine, University of Newcastle, Callaghan, 2308 Australia
- 10Centre for Cognitive Neuroimaging, Institute of Neuroscience & Psychology, University of Glasgow, Glasgow G12 8QB, United Kingdom
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Author contributions: S.H.W. and J.M.P. designed research; S.H.W. performed research; S.H.W., F.S., G.A., V.M., L.N., M.B., and J.M.P. contributed unpublished reagents/analytic tools; S.H.W. analyzed data; S.H.W., M.B., S.P., and J.M.P. wrote the first draft of the paper; S.H.W., F.S., G.A., M.B., S.P., and J.M.P. edited the paper; S.H.W. and J.M.P. wrote the paper.
Abstract
The classic brain criticality hypothesis postulates that the brain benefits from operating near a continuous second-order phase transition. Slow feedback regulation of neuronal activity could, however, lead to a discontinuous first-order transition and thereby bistable activity. Observations of bistability in awake brain activity have nonetheless remained scarce and its functional significance unclear. Moreover, there is no empirical evidence to support the hypothesis that the human brain could flexibly operate near either a first- or second-order phase transition despite such a continuum being common in models. Here, using computational modeling, we found bistable synchronization dynamics to emerge through elevated positive feedback and occur exclusively in a regimen of critical-like dynamics. We then assessed bistability in vivo with resting-state MEG in healthy adults (7 females, 11 males) and stereo-electroencephalography in epilepsy patients (28 females, 36 males). This analysis revealed that a large fraction of the neocortices exhibited varying degrees of bistability in neuronal oscillations from 3 to 200 Hz. In line with our modeling results, the neuronal bistability was positively correlated with classic assessment of brain criticality across narrow-band frequencies. Excessive bistability was predictive of epileptic pathophysiology in the patients, whereas moderate bistability was positively correlated with task performance in the healthy subjects. These empirical findings thus reveal the human brain as a one-of-a-kind complex system that exhibits critical-like dynamics in a continuum between continuous and discontinuous phase transitions.
SIGNIFICANCE STATEMENT In the model, while synchrony per se was controlled by connectivity, increasing positive local feedback led to gradually emerging bistable synchrony with scale-free dynamics, suggesting a continuum between second- and first-order phase transitions in synchrony dynamics inside a critical-like regimen. In resting-state MEG and SEEG, bistability of ongoing neuronal oscillations was pervasive across brain areas and frequency bands and was observed only with concurring critical-like dynamics as the modeling predicted. As evidence for functional relevance, moderate bistability was positively correlated with executive functioning in the healthy subjects, and excessive bistability was associated with epileptic pathophysiology. These findings show that critical-like neuronal dynamics in vivo involves both continuous and discontinuous phase transitions in a frequency-, neuroanatomy-, and state-dependent manner.
- Received October 5, 2022.
- Revision received June 7, 2023.
- Accepted September 25, 2023.
- Copyright © 2023 the authors





