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Metastable oscillatory modes emerge from synchronization in the brain spacetime connectome
Uhlhaas, P. J. & Singer, W. Neural synchrony in brain disorders: relevance for cognitive dysfunctions and pathophysiology. Neuron 52, 155–168 (2006).
Engel, A. K., Fries, P. & Singer, W. Dynamic predictions: oscillations and synchrony in top-down processing. Nat. Rev. Neurosci. 2, 704–716 (2001).
Buzsáki, G. & Draguhn, A. Neuronal oscillations in cortical networks. Science 304, 1926–1929 (2004).
Singer, W. Synchronization of cortical activity and its putative role in information processing and learning. Annu. Rev. Physiol. 55, 349–374 (1993).
Buzsaki, G. Rhythms of the Brain. (Oxford University Press, 2006).
Baker, A. P. et al. Fast transient networks in spontaneous human brain activity. eLife 3, e01867 (2014).
Vidaurre, D. et al. Spectrally resolved fast transient brain states in electrophysiological data. NeuroImage 126, 81–95 (2016).
Michel, C. M. & Koenig, T. EEG microstates as a tool for studying the temporal dynamics of whole-brain neuronal networks: a review. NeuroImage 180, 577–593 (2018).
Jensen, O., Spaak, E. & Zumer, J. M. In Magnetoencephalography 359–403 (Springer, 2014).
Sherman, M. A. et al. Neural mechanisms of transient neocortical beta rhythms: Converging evidence from humans, computational modeling, monkeys, and mice. Proc. Natl Acad. Sci. 113, E4885–E4894 (2016).
Varela, F., Lachaux, J.-P., Rodriguez, E. & Martinerie, J. The brainweb: phase synchronization and large-scale integration. Nat. Rev. Neurosci. 2, 229 (2001).
Hipp, J. F., Hawellek, D. J., Corbetta, M., Siegel, M. & Engel, A. K. Large-scale cortical correlation structure of spontaneous oscillatory activity. Nat. Neurosci. 15, 884–890 (2012).
Palva, S. & Palva, J. M. Discovering oscillatory interaction networks with M/EEG: challenges and breakthroughs. Trends Cogn. Sci. 16, 219–230 (2012).
Traub, R. D., Whittington, M. A., Stanford, I. M. & Jefferys, J. G. A mechanism for generation of long-range synchronous fast oscillations in the cortex. Nature 383, 621–624 (1996).
Schnitzler, A. & Gross, J. Normal and pathological oscillatory communication in the brain. Nat. Rev. Neurosci. 6, 285–296 (2005).
Von Stein, A. & Sarnthein, J. Different frequencies for different scales of cortical integration: from local gamma to long range alpha/theta synchronization. Int. J. Psychophysiol. 38, 301–313 (2000).
Nunez, P. L. & Srinivasan, R. Electric fields of the brain: the neurophysics of EEG. (Oxford University Press, 2006).
Bhattacharya, S., Cauchois, M. B., Iglesias, P. A. & Chen, Z. S. The impact of a closed-loop thalamocortical model on the spatiotemporal dynamics of cortical and thalamic traveling waves. Sci. Rep. 11, 1–19 (2021).
Freyer, F. et al. Biophysical mechanisms of multistability in resting-state cortical rhythms. J. Neurosci.: Off. J. Soc. Neurosci. 31, 6353–6361 (2011).
Cabral, J. et al. Exploring mechanisms of spontaneous functional connectivity in MEG: How delayed network interactions lead to structured amplitude envelopes of band-pass filtered oscillations. NeuroImage 90, 423–435 (2014).
Llinás, R. R., Ribary, U., Jeanmonod, D., Kronberg, E. & Mitra, P. P. Thalamocortical dysrhythmia: a neurological and neuropsychiatric syndrome characterized by magnetoencephalography. Proc. Natl Acad. Sci. 96, 15222–15227 (1999).
Vidaurre, D. et al. Spontaneous cortical activity transiently organises into frequency specific phase-coupling networks. Nat. Commun. 9, 1–13 (2018).
O’Neill, G. C. et al. Dynamics of large-scale electrophysiological networks: a technical review. NeuroImage 180, 559–576 (2018).
Friston, K. J. Transients, metastability, and neuronal dynamics. NeuroImage 5, 164–171 (1997).
Niebur, E., Schuster, H. G. & Kammen, D. M. Collective frequencies and metastability in networks of limit-cycle oscillators with time delay. Phys. Rev. Lett. 67, 2753–2756 (1991).
Atay, F. M., Jost, J. & Wende, A. Delays, connection topology, and synchronization of coupled chaotic maps. Phys. Rev. Lett. 92, 144101 (2004).
Sporns, O., Tononi, G. & Kotter, R. The human connectome: a structural description of the human brain. PLoS Comput. Biol. 1, e42 (2005).
Honey, C. J., Kotter, R., Breakspear, M. & Sporns, O. Network structure of cerebral cortex shapes functional connectivity on multiple time scales. Proc. Natl Acad. Sci. USA 104, 10240–10245 (2007).
Ghosh, A., Rho, Y., McIntosh, A. R., Kotter, R. & Jirsa, V. K. Cortical network dynamics with time delays reveals functional connectivity in the resting brain. Cogn. Neurodyn. 2, 115–120 (2008).
Deco, G., Jirsa, V., McIntosh, A. R., Sporns, O. & Kotter, R. Key role of coupling, delay, and noise in resting brain fluctuations. Proc. Natl Acad. Sci. USA 106, 10302–10307 (2009).
Cabral, J., Hugues, E., Sporns, O. & Deco, G. Role of local network oscillations in resting-state functional connectivity. NeuroImage 57, 130–139 (2011).
Cabral, J., Kringelbach, M. & Deco, G. Functional Connectivity dynamically evolves on multiple time-scales over a static Structural Connectome: Models and Mechanisms. NeuroImage 160, 84–96 (2017).
Deco, G. & Kringelbach, M. L. Turbulent-like dynamics in the human brain. Cell Rep. 33, 108471 (2020).
Deco, G. et al. Single or Multi-Frequency Generators in on-going brain activity: a mechanistic whole-brain model of empirical MEG data. NeuroImage 152, 538–550 (2017).
Deco, G., Kringelbach, M. L., Jirsa, V. K. & Ritter, P. The dynamics of resting fluctuations in the brain: metastability and its dynamical cortical core. Sci. Rep. 7, 3095 (2017).
Tewarie, P. et al. How do spatially distinct frequency specific MEG networks emerge from one underlying structural connectome? The role of the structural eigenmodes. NeuroImage 186, 211–220 (2019).
Roberts, J. A. et al. Metastable brain waves. Nat. Commun. 10, 1–17 (2019).
Ponce-Alvarez, A. et al. Resting-state temporal synchronization networks emerge from connectivity topology and heterogeneity. PLoS Comput. Biol. 11, e1004100 (2015).
Engel, A. K., Gerloff, C., Hilgetag, C. C. & Nolte, G. Intrinsic coupling modes: multiscale interactions in ongoing brain activity. Neuron 80, 867–886 (2013).
Cocchi, L., Gollo, L. L., Zalesky, A. & Breakspear, M. Criticality in the brain: a synthesis of neurobiology, models and cognition. Prog. Neurobiol. 158, 132–152 (2017).
Deco, G. et al. Rare long-range cortical connections enhance human information processing. Curr. Biol. 31, 4436–4448. e4435 (2021).
Brookes, M. J. et al. Measuring functional connectivity using MEG: methodology and comparison with fcMRI. NeuroImage 56, 1082–1104 (2011).
Buhl, E. H., Tamas, G. & Fisahn, A. Cholinergic activation and tonic excitation induce persistent gamma oscillations in mouse somatosensory cortex in vitro. J. Physiol. 513, 117–126 (1998).
Sanchez-Vives, M. V. & McCormick, D. A. Cellular and network mechanisms of rhythmic recurrent activity in neocortex. Nat. Neurosci. 3, 1027 (2000).
Selivanov, A. A. et al. Adaptive synchronization in delay-coupled networks of Stuart-Landau oscillators. Phys. Rev. E 85, 016201 (2012).
Daffertshofer, A. & van Wijk, B. C. On the Influence of Amplitude on the Connectivity between Phases. Front. Neuroinform. 5, 6 (2011).
Ashwin, P., Coombes, S. & Nicks, R. Mathematical frameworks for oscillatory network dynamics in neuroscience. J. Math. Neurosci. 6, 1–92 (2016).
Strogatz, S. H. & Mirollo, R. E. Stability of incoherence in a population of coupled oscillators. J. Stat. Phys. 63, 613–635 (1991).
Petkoski, S., Iatsenko, D., Basnarkov, L. & Stefanovska, A. Mean-field and mean-ensemble frequencies of a system of coupled oscillators. Phys. Rev. E 87, 032908 (2013).
Samanta, H. S., Bhattacharjee, J. K., Bhattacharyay, A. & Chakraborty, S. On noise induced poincaré–andronov–Hopf bifurcation. Chaos: Interdiscip. J. Nonlinear Sci. 24, 043122 (2014).
Lee, W. S., Ott, E. & Antonsen, T. M. Large coupled oscillator systems with heterogeneous interaction delays. Phys. Rev. Lett. 103, 044101 (2009).
Schaefer, A. et al. Local-Global Parcellation of the Human Cerebral Cortex from Intrinsic Functional Connectivity MRI. Cereb. Cortex 28, 3095–3114 (2018).
Pikovsky, A., Kurths, J., Rosenblum, M. & Kurths, J. Synchronization: a universal concept in nonlinear sciences. (Cambridge university press, 2003).
Strogatz, S. Sync: The emerging science of spontaneous order. (Penguin UK, 2004).
Winfree, A. T. Biological rhythms and the behavior of populations of coupled oscillators. J. Theor. Biol. 16, 15–42 (1967).
Haken, H. Information and Self-Organization – A Macroscopic approach to Complex Systems. (Springer, 1988).
Mirollo, R. E. & Strogatz, S. H. Synchronization of pulse-coupled biological oscillators. SIAM J. Appl. Math. 50, 1645–1662 (1990).
Strogatz, S. H. & Stewart, I. Coupled oscillators and biological synchronization. Sci. Am. 269, 102–109 (1993).
Daffertshofer, A., Ton, R., Kringelbach, M. L., Woolrich, M. & Deco, G. Distinct criticality of phase and amplitude dynamics in the resting brain. NeuroImage 180, 442–447 (2018).
Siems, M. & Siegel, M. Dissociated neuronal phase-and amplitude-coupling patterns in the human brain. NeuroImage 209, 116538 (2020).
Deco, G. et al. Single or multiple frequency generators in on-going brain activity: a mechanistic whole-brain model of empirical MEG data. NeuroImage 152, 538–550 (2017).
Yeung, M. K. S. & Strogatz, S. H. Time Delay in the Kuramoto Model of Coupled Oscillators. Phys. Rev. Lett. 82, 648–651 (1999).
Earl, M. G. & Strogatz, S. H. Synchronization in oscillator networks with delayed coupling: a stability criterion. Phys. Rev. E 67, 036204 (2003).
Wildie, M. & Shanahan, M. Metastability and chimera states in modular delay and pulse-coupled oscillator networks. Chaos 22, 043131 (2012).
Bick, C., Goodfellow, M., Laing, C. R. & Martens, E. A. Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. J. Math. Neurosci. 10, 1–43 (2020).
Izhikevich, E. M. & Edelman, G. M. Large-scale model of mammalian thalamocortical systems. Proc. Natl Acad. Sci. USA 105, 3593–3598 (2008).
Tononi, G., Sporns, O. & Edelman, G. M. A measure for brain complexity: relating functional segregation and integration in the nervous system. Proc. Natl Acad. Sci. 91, 5033–5037 (1994).
Tognoli, E. & Kelso, J. A. The metastable brain. Neuron 81, 35–48 (2014).
Cabral, J., Kringelbach, M. L. & Deco, G. Functional graph alterations in schizophrenia: a result from a global anatomic decoupling. Pharmacopsychiatry 45(Suppl 1), S57–S64 (2012).
Cabral, J., Hugues, E., Kringelbach, M. L. & Deco, G. Modeling the outcome of structural disconnection on resting-state functional connectivity. NeuroImage 62, 1342–1353 (2012).
Schartner, M. M., Carhart-Harris, R. L., Barrett, A. B., Seth, A. K. & Muthukumaraswamy, S. D. Increased spontaneous MEG signal diversity for psychoactive doses of ketamine, LSD and psilocybin. Sci. Rep. 7, 46421 (2017).
Carhart-Harris, R. L. et al. The entropic brain: a theory of conscious states informed by neuroimaging research with psychedelic drugs. Front. Hum. Neurosci. 8, 20 (2014).
Goriely, A., Kuhl, E. & Bick, C. Neuronal oscillations on evolving networks: dynamics, damage, degradation, decline, dementia, and death. Phys. Rev. Lett. 125, 128102 (2020).
Bick, C. Heteroclinic switching between chimeras. Phys. Rev. E 97, 050201 (2018).
Ansmann, G., Lehnertz, K. & Feudel, U. Self-induced switchings between multiple space-time patterns on complex networks of excitable units. Phys. Rev. X 6, 011030 (2016).
Rabinovich, M. I., Simmons, A. N. & Varona, P. Dynamical bridge between brain and mind. Trends Cogn. Sci. 19, 453–461 (2015).
Roberts, J. A. et al. Metastable brain waves. Nat. Commun. 10, 1056 (2019).
Atay, F. M. Distributed delays facilitate amplitude death of coupled oscillators. Phys. Rev. Lett. 91, 094101 (2003).
Ritter, P., Moosmann, M. & Villringer, A. Rolandic alpha and beta EEG rhythms’ strengths are inversely related to fMRI‐BOLD signal in primary somatosensory and motor cortex. Hum. Brain Mapp. 30, 1168–1187 (2009).
Van Essen, D. C. et al. The WU-Minn Human Connectome Project: an overview. NeuroImage 80, 62–79 (2013).
Horn, A. et al. Lead-DBS v2: Towards a comprehensive pipeline for deep brain stimulation imaging. NeuroImage 184, 293–316 (2019).
Ashburner, J. A fast diffeomorphic image registration algorithm. NeuroImage 38, 95–113 (2007).
Tzourio-Mazoyer, N. et al. Automated anatomical labeling of activations in SPM using a macroscopic anatomical parcellation of the MNI MRI single-subject brain. NeuroImage 15, 273–289 (2002).
Andronov, A. A., Vitt, A. A. & Khakin, S. E. Theory of oscillators. (Dover Mathematics,1987).
Aranson, I. S. & Kramer, L. The world of the complex Ginzburg-Landau equation. Rev. Mod. Phys. 74, 99–143 (2002).
Olinger, D. J. A low‐dimensional model for chaos in open fluid flows. Phys. Fluids A: Fluid Dyn. 5, 1947–1951 (1993).
Shanahan, M. Metastable chimera states in community-structured oscillator networks. Chaos 20, 013108 (2010).
Sethia, G. C., Sen, A. & Atay, F. M. Clustered chimera states in delay-coupled oscillator systems. Phys. Rev. Lett. 100, 144102 (2008).