Role of local network oscillations in resting-state functional connectivity

Spatio-temporally organized low-frequency fluctuations (<0.1 Hz), observed in BOLD fMRI signal during rest, suggest the existence of underlying network dynamics that emerge spontaneously from intrinsic brain processes. Furthermore, significant correlations between distinct anatomical regions-or functional connectivity (FC)-have led to the identification of several widely distributed resting-state networks (RSNs). This slow dynamics seems to be highly structured by anatomical connectivity but the mechanism behind it and its relationship with neural activity, particularly in the gamma frequency range, remains largely unknown. Indeed, direct measurements of neuronal activity have revealed similar large-scale correlations, particularly in slow power fluctuations of local field potential gamma frequency range oscillations. To address these questions, we investigated neural dynamics in a large-scale model of the human brain's neural activity. A key ingredient of the model was a structural brain network defined by empirically derived long-range brain connectivity together with the corresponding conduction delays. A neural population, assumed to spontaneously oscillate in the gamma frequency range, was placed at each network node. When these oscillatory units are integrated in the network, they behave as weakly coupled oscillators. The time-delayed interaction between nodes is described by the Kuramoto model of phase oscillators, a biologically-based model of coupled oscillatory systems. For a realistic setting of axonal conduction speed, we show that time-delayed network interaction leads to the emergence of slow neural activity fluctuations, whose patterns correlate significantly with the empirically measured FC. The best agreement of the simulated FC with the empirically measured FC is found for a set of parameters where subsets of nodes tend to synchronize although the network is not globally synchronized. Inside such clusters, the simulated BOLD signal between nodes is found to be correlated, instantiating the empirically observed RSNs. Between clusters, patterns of positive and negative correlations are observed, as described in experimental studies. These results are found to be robust with respect to a biologically plausible range of model parameters. In conclusion, our model suggests how resting-state neural activity can originate from the interplay between the local neural dynamics and the large-scale structure of the brain.

[1]  Karl J. Friston,et al.  Dynamic causal modeling , 2010, Scholarpedia.

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

[3]  Nicolas Brunel,et al.  Dynamics of Sparsely Connected Networks of Excitatory and Inhibitory Spiking Neurons , 2000, Journal of Computational Neuroscience.

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

[5]  R. Spigler,et al.  The Kuramoto model: A simple paradigm for synchronization phenomena , 2005 .

[6]  Vinod Menon,et al.  Functional connectivity in the resting brain: A network analysis of the default mode hypothesis , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[7]  M. Mattia,et al.  Population dynamics of interacting spiking neurons. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  R. Kötter,et al.  Cortical network dynamics with time delays reveals functional connectivity in the resting brain , 2008, Cognitive Neurodynamics.

[9]  Xiao-Jing Wang,et al.  What determines the frequency of fast network oscillations with irregular neural discharges? I. Synaptic dynamics and excitation-inhibition balance. , 2003, Journal of neurophysiology.

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

[11]  M. Fox,et al.  Spontaneous fluctuations in brain activity observed with functional magnetic resonance imaging , 2007, Nature Reviews Neuroscience.

[12]  Edward Ott,et al.  Large coupled oscillator systems with heterogeneous interaction delays. , 2009, Physical review letters.

[13]  M. Raichle,et al.  Searching for a baseline: Functional imaging and the resting human brain , 2001, Nature Reviews Neuroscience.

[14]  Egon Wanke,et al.  Mapping brains without coordinates , 2005, Philosophical Transactions of the Royal Society B: Biological Sciences.

[15]  M. Mintun,et al.  Brain work and brain imaging. , 2006, Annual review of neuroscience.

[16]  Karl J. Friston,et al.  Hemodynamic correlates of EEG: A heuristic , 2005, NeuroImage.

[17]  S. Strogatz,et al.  Time Delay in the Kuramoto Model of Coupled Oscillators , 1998, chao-dyn/9807030.

[18]  Viktor K. Jirsa,et al.  Noise during Rest Enables the Exploration of the Brain's Dynamic Repertoire , 2008, PLoS Comput. Biol..

[19]  E. Platen An introduction to numerical methods for stochastic differential equations , 1999, Acta Numerica.

[20]  N. Logothetis,et al.  Very slow activity fluctuations in monkey visual cortex: implications for functional brain imaging. , 2003, Cerebral cortex.

[21]  M. Corbetta,et al.  Electrophysiological signatures of resting state networks in the human brain , 2007, Proceedings of the National Academy of Sciences.

[22]  K. Miller,et al.  Direct electrophysiological measurement of human default network areas , 2009, Proceedings of the National Academy of Sciences.

[23]  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.

[24]  Peter A Tass,et al.  Phase chaos in coupled oscillators. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  C. J. Honeya,et al.  Predicting human resting-state functional connectivity from structural connectivity , 2009 .

[26]  D. Leopold,et al.  Neuronal correlates of spontaneous fluctuations in fMRI signals in monkey visual cortex: Implications for functional connectivity at rest , 2008, Human brain mapping.

[27]  O. Sporns,et al.  Mapping the Structural Core of Human Cerebral Cortex , 2008, PLoS biology.

[28]  O. Sporns,et al.  Key role of coupling, delay, and noise in resting brain fluctuations , 2009, Proceedings of the National Academy of Sciences.

[29]  M. Shanahan Metastable chimera states in community-structured oscillator networks. , 2009, Chaos.

[30]  P. Jonas,et al.  Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks , 2007, Nature Reviews Neuroscience.

[31]  J. Cowan,et al.  Excitatory and inhibitory interactions in localized populations of model neurons. , 1972, Biophysical journal.

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

[33]  Karl J. Friston,et al.  EEG-fMRI integration: a critical review of biophysical modeling and data analysis approaches. , 2010, Journal of integrative neuroscience.

[34]  P. Thiran,et al.  Mapping Human Whole-Brain Structural Networks with Diffusion MRI , 2007, PloS one.

[35]  Nancy Kopell,et al.  Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity , 2003, Neural Computation.

[36]  Justin L. Vincent,et al.  Intrinsic functional architecture in the anaesthetized monkey brain , 2007, Nature.

[37]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[38]  A. R. McIntosh,et al.  The effects of physiologically plausible connectivity structure on local and global dynamics in large scale brain models , 2009, Journal of Neuroscience Methods.

[39]  Karl J. Friston,et al.  Network discovery with DCM , 2011, NeuroImage.

[40]  O. Sporns,et al.  Complex brain networks: graph theoretical analysis of structural and functional systems , 2009, Nature Reviews Neuroscience.

[41]  Philippe Kahane,et al.  Exploring the electrophysiological correlates of the default ‐ mode network with intracerebral EEG , 2022 .

[42]  Stephen M. Smith,et al.  Investigations into resting-state connectivity using independent component analysis , 2005, Philosophical Transactions of the Royal Society B: Biological Sciences.

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

[44]  S. Rombouts,et al.  Consistent resting-state networks across healthy subjects , 2006, Proceedings of the National Academy of Sciences.

[45]  Karl J. Friston,et al.  Dynamic causal modelling , 2003, NeuroImage.

[46]  Rolf Kötter,et al.  Online retrieval, processing, and visualization of primate connectivity data from the CoCoMac Database , 2007, Neuroinformatics.