Functional connectivity arises from a slow rhythmic mechanism

Significance Functional connectivity MRI has revolutionized our understanding of brain architecture. Correlated changes in oxygen levels reveal networks of regions. These networks, each linked to particular functions, are conserved across individuals and species. Normal development, learning, and mental disorders are associated with subtle network changes, providing insight into how brains work. Remarkably, the basis of functional connectivity remains unknown. Although some studies have reported data consistent with an oscillatory process, the leading hypothesis involves emergent, arrhythmic dynamics of complex and distributed networks (the “criticality” hypothesis). By using a new electrode-based technique, we show that functional connectivity is not related to criticality, but instead to specific and potentially localizable oscillatory processes. This finding provides a tool to identify the mechanisms underlying functional connectivity. The mechanism underlying temporal correlations among blood oxygen level-dependent signals is unclear. We used oxygen polarography to better characterize oxygen fluctuations and their correlation and to gain insight into the driving mechanism. The power spectrum of local oxygen fluctuations is inversely proportional to frequency raised to a power (1/f) raised to the beta, with an additional positive band-limited component centered at 0.06 Hz. In contrast, the power of the correlated oxygen signal is band limited from ∼0.01 Hz to 0.4 Hz with a peak at 0.06 Hz. These results suggest that there is a band-limited mechanism (or mechanisms) driving interregional oxygen correlation that is distinct from the mechanism(s) driving local (1/f) oxygen fluctuations. Candidates for driving interregional oxygen correlation include rhythmic or pseudo-oscillatory mechanisms.

[1]  Jürgen Hennig,et al.  Tracking dynamic resting-state networks at higher frequencies using MR-encephalography , 2013, NeuroImage.

[2]  J. Morris,et al.  Functional deactivations: Change with age and dementia of the Alzheimer type , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[3]  Tomer Fekete,et al.  The NIRS Analysis Package: Noise Reduction and Statistical Inference , 2011, PloS one.

[4]  Biyu J. He,et al.  The Temporal Structures and Functional Significance of Scale-free Brain Activity , 2010, Neuron.

[5]  Roland N. Boubela,et al.  The Spectral Diversity of Resting-State Fluctuations in the Human Brain , 2014, PloS one.

[6]  J. M. Herrmann,et al.  Dynamical synapses causing self-organized criticality in neural networks , 2007, 0712.1003.

[7]  J. Ojemann,et al.  Quasi-periodic Fluctuations in Default Mode Network Electrophysiology , 2011, The Journal of Neuroscience.

[8]  S. Hughes,et al.  Synchronized oscillations at alpha and theta frequencies in the lateral geniculate nucleus. , 2004, Neuron.

[9]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[10]  R. Goebel,et al.  Cortical Depth Dependent Functional Responses in Humans at 7T: Improved Specificity with 3D GRASE , 2013, PloS one.

[11]  F. Meijer,et al.  Brain MRI in Parkinson's disease. , 2014, Frontiers in bioscience.

[12]  Roland N. Boubela,et al.  Beyond Noise: Using Temporal ICA to Extract Meaningful Information from High-Frequency fMRI Signal Fluctuations during Rest , 2013, Front. Hum. Neurosci..

[13]  Biyu J. He Scale-free brain activity: past, present, and future , 2014, Trends in Cognitive Sciences.

[14]  Aapo Hyvärinen,et al.  Independent component analysis of nondeterministic fMRI signal sources , 2003, NeuroImage.

[15]  Radu Mutihac,et al.  High-Speed Real-Time Resting-State fMRI Using Multi-Slab Echo-Volumar Imaging , 2013, Front. Hum. Neurosci..

[16]  Donald B. Percival,et al.  Spectral Analysis for Physical Applications , 1993 .

[17]  N. Cozzarelli PNAS Early Edition. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[18]  Rasmus M. Birn,et al.  The role of physiological noise in resting-state functional connectivity , 2012, NeuroImage.

[19]  C. Schroeder,et al.  Low-frequency neuronal oscillations as instruments of sensory selection , 2009, Trends in Neurosciences.

[20]  G L Shulman,et al.  Blood flow and oxygen delivery to human brain during functional activity: Theoretical modeling and experimental data , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[21]  N. Logothetis,et al.  Scaling Brain Size, Keeping Timing: Evolutionary Preservation of Brain Rhythms , 2013, Neuron.

[22]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems , 1998 .

[23]  Biyu J. He,et al.  Electrophysiological correlates of the brain's intrinsic large-scale functional architecture , 2008, Proceedings of the National Academy of Sciences.

[24]  Tobias Teichert,et al.  Effects of heartbeat and respiration on macaque fMRI: Implications for functional connectivity , 2010, Neuropsychologia.

[25]  Jue Wang,et al.  Amplitude differences in high-frequency fMRI signals between eyes open and eyes closed resting states , 2014, Front. Hum. Neurosci..

[26]  Abraham Z Snyder,et al.  Dissociated mean and functional connectivity BOLD signals in visual cortex during eyes closed and fixation. , 2012, Journal of neurophysiology.

[27]  Steen Moeller,et al.  Evaluation of slice accelerations using multiband echo planar imaging at 3T , 2013, NeuroImage.

[28]  Kevin Murphy,et al.  The impact of global signal regression on resting state correlations: Are anti-correlated networks introduced? , 2009, NeuroImage.

[29]  John P. Lowry,et al.  Real-time electrochemical monitoring of brain tissue oxygen: A surrogate for functional magnetic resonance imaging in rodents , 2010, NeuroImage.

[30]  M. Raichle,et al.  Resting states affect spontaneous BOLD oscillations in sensory and paralimbic cortex. , 2008, Journal of neurophysiology.

[31]  C. Mathiesen,et al.  Activity-dependent Increases in Local Oxygen Consumption Correlate with Postsynaptic Currents in the Mouse Cerebellum In Vivo , 2011, The Journal of Neuroscience.

[32]  Bharat B. Biswal,et al.  Determination of Dominant Frequency of Resting-State Brain Interaction within One Functional System , 2012, PloS one.

[33]  Klaus Linkenkaer-Hansen,et al.  SELF-ORGANIZED CRITICALITY AND STOCHASTIC RESONANCE IN THE HUMAN BRAIN , 2002 .

[34]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality , 1998 .

[35]  Yufeng Zang,et al.  Spontaneous Brain Activity in the Default Mode Network Is Sensitive to Different Resting-State Conditions with Limited Cognitive Load , 2009, PloS one.

[36]  Shuntaro Sasai,et al.  Frequency-specific functional connectivity in the brain during resting state revealed by NIRS , 2011, NeuroImage.

[37]  Stefan Mihalas,et al.  Self-organized criticality occurs in non-conservative neuronal networks during Up states , 2010, Nature physics.

[38]  V. Haughton,et al.  Mapping functionally related regions of brain with functional connectivity MR imaging. , 2000, AJNR. American journal of neuroradiology.

[39]  Maurizio Corbetta,et al.  The human brain is intrinsically organized into dynamic, anticorrelated functional networks. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[40]  Markus Barth,et al.  An Investigation of RSN Frequency Spectra Using Ultra-Fast Generalized Inverse Imaging , 2013, Front. Hum. Neurosci..

[41]  Kâmil Uludağ,et al.  Transient and sustained BOLD responses to sustained visual stimulation. , 2008, Magnetic resonance imaging.

[42]  C. Julien The enigma of Mayer waves: Facts and models. , 2006, Cardiovascular research.

[43]  I. Fried,et al.  Interhemispheric correlations of slow spontaneous neuronal fluctuations revealed in human sensory cortex , 2008, Nature Neuroscience.

[44]  E. Bullmore,et al.  Undirected graphs of frequency-dependent functional connectivity in whole brain networks , 2005, Philosophical Transactions of the Royal Society B: Biological Sciences.

[45]  R Cooper,et al.  Regional control of cerebral vascular reactivity and oxygen supply in man. , 1966, Brain research.

[46]  Morten L. Kringelbach,et al.  Exploring the network dynamics underlying brain activity during rest , 2014, Progress in Neurobiology.

[47]  S. Hughes,et al.  Thalamic Mechanisms of EEG Alpha Rhythms and Their Pathological Implications , 2005, The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry.

[48]  R. Malach,et al.  The Day-After Effect: Long Term, Hebbian-Like Restructuring of Resting-State fMRI Patterns Induced by a Single Epoch of Cortical Activation , 2013, The Journal of Neuroscience.

[49]  Vinod Menon,et al.  Developmental pathways to functional brain networks: emerging principles , 2013, Trends in Cognitive Sciences.

[50]  Peter R Luijten,et al.  Spontaneous blood oxygenation level‐dependent fMRI signal is modulated by behavioral state and correlates with evoked response in sensorimotor cortex: A 7.0‐T fMRI study , 2012, Human brain mapping.

[51]  Hang Joon Jo,et al.  Trouble at Rest: How Correlation Patterns and Group Differences Become Distorted After Global Signal Regression , 2012, Brain Connect..

[52]  M. Fox,et al.  The global signal and observed anticorrelated resting state brain networks. , 2009, Journal of neurophysiology.

[53]  Matthew B. Bouchard,et al.  Direct, intraoperative observation of ~0.1Hz hemodynamic oscillations in awake human cortex: Implications for fMRI , 2014, NeuroImage.

[54]  E. Bullmore,et al.  A Resilient, Low-Frequency, Small-World Human Brain Functional Network with Highly Connected Association Cortical Hubs , 2006, The Journal of Neuroscience.

[55]  Timothy O. Laumann,et al.  Methods to detect, characterize, and remove motion artifact in resting state fMRI , 2014, NeuroImage.

[56]  Olaf Sporns,et al.  Neurobiologically Realistic Determinants of Self-Organized Criticality in Networks of Spiking Neurons , 2011, PLoS Comput. Biol..

[57]  Peter A. Bandettini,et al.  Principles of BOLD Functional MRI , 2011 .

[58]  Olaf Sporns,et al.  Network structure of cerebral cortex shapes functional connectivity on multiple time scales , 2007, Proceedings of the National Academy of Sciences.

[59]  Dieter Jaeger,et al.  Quasi-periodic patterns (QPP): Large-scale dynamics in resting state fMRI that correlate with local infraslow electrical activity , 2014, NeuroImage.

[60]  J. R. Rosenberg,et al.  The Fourier approach to the identification of functional coupling between neuronal spike trains. , 1989, Progress in biophysics and molecular biology.

[61]  David C. Geary,et al.  Hippocampal-neocortical functional reorganization underlies children's cognitive development , 2014, Nature Neuroscience.

[62]  Emily L. Dennis,et al.  Typical and atypical brain development: a review of neuroimaging studies , 2013, Dialogues in clinical neuroscience.

[63]  Lloyd H. Michael,et al.  The Guide for the Care and Use of Laboratory Animals. , 2016, ILAR journal.

[64]  Danielle Smith Bassett,et al.  Small-World Brain Networks , 2006, The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry.

[65]  Archana Venkataraman,et al.  Intrinsic functional connectivity as a tool for human connectomics: theory, properties, and optimization. , 2010, Journal of neurophysiology.

[66]  Per Bak,et al.  How Nature Works , 1996 .

[67]  D. Thomson,et al.  Spectrum estimation and harmonic analysis , 1982, Proceedings of the IEEE.

[68]  Gabriel Curio,et al.  Monochromatic Ultra-Slow (~0.1Hz) Oscillations in the human electroencephalogram and their relation to hemodynamics , 2014, NeuroImage.

[69]  Maurizio Corbetta,et al.  Resting-State Functional Connectivity Emerges from Structurally and Dynamically Shaped Slow Linear Fluctuations , 2013, The Journal of Neuroscience.

[70]  Vivek Prabhakaran,et al.  The effect of resting condition on resting-state fMRI reliability and consistency: A comparison between resting with eyes open, closed, and fixated , 2013, NeuroImage.

[71]  Dieter Jaeger,et al.  Neural correlates of time-varying functional connectivity in the rat , 2013, NeuroImage.

[72]  M. Schölvinck,et al.  Neural basis of global resting-state fMRI activity , 2010, Proceedings of the National Academy of Sciences.

[73]  Waqas Majeed,et al.  Spatiotemporal dynamics of low frequency BOLD fluctuations in rats and humans , 2011, NeuroImage.

[74]  Chaozhe Zhu,et al.  Amplitude of low frequency fluctuation within visual areas revealed by resting-state functional MRI , 2007, NeuroImage.

[75]  Edward T. Bullmore,et al.  A simple view of the brain through a frequency-specific functional connectivity measure , 2008, NeuroImage.

[76]  B. Biswal,et al.  Functional connectivity in the motor cortex of resting human brain using echo‐planar mri , 1995, Magnetic resonance in medicine.

[77]  T A Carpenter,et al.  Colored noise and computational inference in neurophysiological (fMRI) time series analysis: Resampling methods in time and wavelet domains , 2001, Human brain mapping.

[78]  Christopher G. Davey,et al.  Functional brain imaging studies of youth depression: A systematic review☆ , 2013, NeuroImage: Clinical.

[79]  Bharat B. Biswal,et al.  Functional Integration Between Brain Regions at Rest Occurs in Multiple-Frequency Bands , 2015, Brain Connect..

[80]  M. Raichle,et al.  Oxygen Level and LFP in Task-Positive and Task-Negative Areas: Bridging BOLD fMRI and Electrophysiology. , 2016, Cerebral cortex.

[81]  C. Beckmann,et al.  Spectral characteristics of resting state networks. , 2011, Progress in brain research.

[82]  V. Haughton,et al.  Frequencies contributing to functional connectivity in the cerebral cortex in "resting-state" data. , 2001, AJNR. American journal of neuroradiology.

[83]  L. C. Clark,et al.  Chronically implanted polarographic electrodes. , 1958, Journal of applied physiology.

[84]  R. VanRullen,et al.  An oscillatory mechanism for prioritizing salient unattended stimuli , 2012, Trends in Cognitive Sciences.

[85]  Michael Mitzenmacher,et al.  A Brief History of Generative Models for Power Law and Lognormal Distributions , 2004, Internet Math..

[86]  Waqas Majeed,et al.  Spatiotemporal dynamics of low frequency fluctuations in BOLD fMRI of the rat , 2009, Journal of magnetic resonance imaging : JMRI.

[87]  K. Linkenkaer-Hansen,et al.  Critical-State Dynamics of Avalanches and Oscillations Jointly Emerge from Balanced Excitation/Inhibition in Neuronal Networks , 2012, The Journal of Neuroscience.

[88]  Hamid Reza Mohseni,et al.  Exploring mechanisms of spontaneous functional connectivity in MEG: How delayed network interactions lead to structured amplitude envelopes of band-pass filtered oscillations , 2014, NeuroImage.

[89]  John M. Beggs,et al.  Being Critical of Criticality in the Brain , 2012, Front. Physio..

[90]  Cornelis J. Stam,et al.  Small-world and scale-free organization of voxel-based resting-state functional connectivity in the human brain , 2008, NeuroImage.

[91]  Biyu J. He Scale-Free Properties of the Functional Magnetic Resonance Imaging Signal during Rest and Task , 2011, The Journal of Neuroscience.

[92]  Patrice Abry,et al.  Interplay between functional connectivity and scale-free dynamics in intrinsic fMRI networks , 2014, NeuroImage.

[93]  Vincenzo Crunelli,et al.  Cellular Dynamics of Cholinergically Induced α (8–13 Hz) Rhythms in Sensory Thalamic Nuclei In Vitro , 2008, The Journal of Neuroscience.

[94]  Jonathan D. Power,et al.  The Development of Human Functional Brain Networks , 2010, Neuron.

[95]  Gustavo Deco,et al.  Role of local network oscillations in resting-state functional connectivity , 2011, NeuroImage.

[96]  Jeff H. Duyn,et al.  Modulation of spontaneous fMRI activity in human visual cortex by behavioral state , 2009, NeuroImage.

[97]  Ping Wang,et al.  Trial-by-trial relationship between neural activity, oxygen consumption, and blood flow responses , 2008, NeuroImage.

[98]  R. Freeman,et al.  Single-Neuron Activity and Tissue Oxygenation in the Cerebral Cortex , 2003, Science.

[99]  S. Hughes,et al.  Synchronized Oscillations at α and θ Frequencies in the Lateral Geniculate Nucleus , 2004, Neuron.

[100]  Yihong Yang,et al.  Frequency specificity of functional connectivity in brain networks , 2008, NeuroImage.

[101]  Fenna M. Krienen,et al.  Opportunities and limitations of intrinsic functional connectivity MRI , 2013, Nature Neuroscience.