Community structure in networks of functional connectivity: Resolving functional organization in the rat brain with pharmacological MRI

In the study of functional connectivity, fMRI data can be represented mathematically as a network of nodes and links, where image voxels represent the nodes and the connections between them reflect a degree of correlation or similarity in their response. Here we show that, within this framework, functional imaging data can be partitioned into 'communities' of tightly interconnected voxels corresponding to maximum modularity within the overall network. We evaluated this approach systematically in application to networks constructed from pharmacological MRI (phMRI) of the rat brain in response to acute challenge with three different compounds with distinct mechanisms of action (d-amphetamine, fluoxetine, and nicotine) as well as vehicle (physiological saline). This approach resulted in bilaterally symmetric sub-networks corresponding to meaningful anatomical and functional connectivity pathways consistent with the purported mechanism of action of each drug. Interestingly, common features across all three networks revealed two groups of tightly coupled brain structures that responded as functional units independent of the specific neurotransmitter systems stimulated by the drug challenge, including a network involving the prefrontal cortex and sub-cortical regions extending from the striatum to the amygdala. This finding suggests that each of these networks includes general underlying features of the functional organization of the rat brain.

[1]  Martin Rosvall,et al.  An information-theoretic framework for resolving community structure in complex networks , 2007, Proceedings of the National Academy of Sciences.

[2]  Abraham Z. Snyder,et al.  A default mode of brain function: A brief history of an evolving idea , 2007, NeuroImage.

[3]  R. Guimerà,et al.  Functional cartography of complex metabolic networks , 2005, Nature.

[4]  Keith A. Johnson,et al.  Cortical Hubs Revealed by Intrinsic Functional Connectivity: Mapping, Assessment of Stability, and Relation to Alzheimer's Disease , 2009, The Journal of Neuroscience.

[5]  Angelo Bifone,et al.  Study-level wavelet cluster analysis and data-driven signal models in pharmacological MRI , 2007, Journal of Neuroscience Methods.

[6]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[7]  M. Newman,et al.  Finding community structure in networks using the eigenvectors of matrices. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  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.

[9]  Angelo Bifone,et al.  A stereotaxic MRI template set for the rat brain with tissue class distribution maps and co-registered anatomical atlas: Application to pharmacological MRI , 2006, NeuroImage.

[10]  I Vragović,et al.  Network community structure and loop coefficient method. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Jean-Cédric Chappelier,et al.  Finding instabilities in the community structure of complex networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Clara A. Scholl,et al.  Synchronized delta oscillations correlate with the resting-state functional MRI signal , 2007, Proceedings of the National Academy of Sciences.

[13]  Haijun Zhou Distance, dissimilarity index, and network community structure. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Martin Rosvall,et al.  Maps of random walks on complex networks reveal community structure , 2007, Proceedings of the National Academy of Sciences.

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

[16]  Angelo Bifone,et al.  Pharmacological modulation of functional connectivity: the correlation structure underlying the phMRI response to d-amphetamine modified by selective dopamine D3 receptor antagonist SB277011A. , 2007, Magnetic resonance imaging.

[17]  S. Hyman,et al.  Addiction and the brain: The neurobiology of compulsion and its persistence , 2001, Nature Reviews Neuroscience.

[18]  M. Laruelle,et al.  Glutamate, dopamine, and schizophrenia: from pathophysiology to treatment. , 2003, Annals of the New York Academy of Sciences.

[19]  G. Koob,et al.  Neuroadaptive mechanisms of addiction: studies on the extended amygdala , 2003, European Neuropsychopharmacology.

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

[21]  M E J Newman,et al.  Modularity and community structure in networks. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[22]  R Weissleder,et al.  Cerebrovascular dynamics of autoregulation and hypoperfusion. An MRI study of CBF and changes in total and microvascular cerebral blood volume during hemorrhagic hypotension. , 1999, Stroke.

[23]  M E J Newman,et al.  Finding and evaluating community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Sergio Gómez,et al.  Size reduction of complex networks preserving modularity , 2007, ArXiv.

[25]  S. Strogatz Exploring complex networks , 2001, Nature.

[26]  Bruce R. Rosen,et al.  Spatio-temporal characteristics of low-frequency BOLD signal fluctuations in isoflurane-anesthetized rat brain , 2008, NeuroImage.

[27]  Weixiong Zhang,et al.  Identifying network communities with a high resolution. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[29]  Lei Zhou,et al.  BOLD study of stimulation-induced neural activity and resting-state connectivity in medetomidine-sedated rat , 2008, NeuroImage.

[30]  Angelo Bifone,et al.  Differential Effects of Antipsychotic and Glutamatergic Agents on the phMRI Response to Phencyclidine , 2008, Neuropsychopharmacology.

[31]  Réka Albert,et al.  Near linear time algorithm to detect community structures in large-scale networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  Angelo Bifone,et al.  In vivo mapping of functional connectivity in neurotransmitter systems using pharmacological MRI , 2007, NeuroImage.

[33]  Edward T. Bullmore,et al.  Efficiency and Cost of Economical Brain Functional Networks , 2007, PLoS Comput. Biol..

[34]  Angelo Bifone,et al.  Region-Specific Effects of Nicotine on Brain Activity: A Pharmacological MRI Study in the Drug-Naïve Rat , 2006, Neuropsychopharmacology.

[35]  Stephen M. Smith,et al.  fMRI resting state networks define distinct modes of long-distance interactions in the human brain , 2006, NeuroImage.

[36]  R. Guimerà,et al.  Modularity from fluctuations in random graphs and complex networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  M. Laruelle,et al.  Glutamate, Dopamine, and Schizophrenia , 2003 .

[38]  Edward T. Bullmore,et al.  Age-related changes in modular organization of human brain functional networks , 2009, NeuroImage.

[39]  S. Fortunato,et al.  Resolution limit in community detection , 2006, Proceedings of the National Academy of Sciences.

[40]  Bharat B. Biswal,et al.  MAP reversibly modulates resting state fMRI-low frequency fluctuations in anesthetized rats , 2003 .

[41]  Claudio Castellano,et al.  Defining and identifying communities in networks. , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[42]  B. Horwitz,et al.  Functional connectivity of the angular gyrus in normal reading and dyslexia. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[43]  E. Nestler,et al.  The Mesolimbic Dopamine Reward Circuit in Depression , 2006, Biological Psychiatry.

[44]  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.

[45]  M. Newman,et al.  Finding community structure in very large networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[46]  Angelo Bifone,et al.  Functional connectivity in the pharmacologically activated brain: Resolving networks of correlated responses to d‐amphetamine , 2007, Magnetic resonance in medicine.

[47]  Seth R. Jones,et al.  Resting‐state functional connectivity of the rat brain , 2008, Magnetic resonance in medicine.

[48]  G. Paxinos,et al.  The Rat Brain in Stereotaxic Coordinates , 1983 .

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

[50]  G. Cecchi,et al.  Scale-free brain functional networks. , 2003, Physical review letters.

[51]  P. Fransson Spontaneous low‐frequency BOLD signal fluctuations: An fMRI investigation of the resting‐state default mode of brain function hypothesis , 2005, Human brain mapping.

[52]  Angelo Bifone,et al.  A multimodality investigation of cerebral hemodynamics and autoregulation in pharmacological MRI. , 2007, Magnetic resonance imaging.

[53]  R. Guimerà,et al.  The worldwide air transportation network: Anomalous centrality, community structure, and cities' global roles , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[54]  T. Reese,et al.  Functional MRI using intravascular contrast agents: detrending of the relative cerebrovascular (rCBV) time course. , 2003, Magnetic resonance imaging.

[55]  Angelo Bifone,et al.  Community structure and modularity in networks of correlated brain activity. , 2007, Magnetic resonance imaging.

[56]  Barry Horwitz,et al.  The pattern of functional coupling of brain regions in the awake rat , 1986, Brain Research.

[57]  H. Lu,et al.  Resting-State Functional Connectivity in Rat Brain , 2005 .