Learning effective brain connectivity with dynamic Bayesian networks

We propose to use dynamic Bayesian networks (DBN) to learn the structure of effective brain connectivity from functional MRI data in an exploratory manner. In our previous work, we used Bayesian networks (BN) to learn the functional structure of the brain (Zheng, X., Rajapakse, J.C., 2006. Learning functional structure from fMR images. NeuroImage 31 (4), 1601-1613). However, BN provides a single snapshot of effective connectivity of the entire experiment and therefore is unable to accurately capture the temporal characteristics of connectivity. Dynamic Bayesian networks (DBN) use a Markov chain to model fMRI time-series and thereby determine temporal relationships of interactions among brain regions. Experiments on synthetic fMRI data demonstrate that the performance of DBN is comparable to Granger causality mapping (GCM) in determining the structure of linearly connected networks. Dynamic Bayesian networks render more accurate and informative brain connectivity than earlier methods as connectivity is described in complete statistical sense and temporal characteristics of time-series are explicitly taken into account. The functional structures inferred on two real fMRI datasets are consistent with the previous literature and more accurate than those discovered by BN. Furthermore, we study the effects of hemodynamic noise, scanner noise, inter-scan interval, and the variability of hemodynamic parameters on the derived connectivity.

[1]  David Maxwell Chickering,et al.  A Transformational Characterization of Equivalent Bayesian Network Structures , 1995, UAI.

[2]  Choong Leong Tan,et al.  Exploratory Analysis of Brain Connectivity with ICA Deriving Functional Connectivity Without a Prior Model , 2006 .

[3]  M. Posner,et al.  Executive attention: Conflict, target detection, and cognitive control. , 1998 .

[4]  Karl J. Friston,et al.  Effective Connectivity and Intersubject Variability: Using a Multisubject Network to Test Differences and Commonalities , 2002, NeuroImage.

[5]  Dirk Husmeier,et al.  Sensitivity and specificity of inferring genetic regulatory interactions from microarray experiments with dynamic Bayesian networks , 2003, Bioinform..

[6]  Karl J. Friston,et al.  Statistical parametric maps in functional imaging: A general linear approach , 1994 .

[7]  Jagath C. Rajapakse,et al.  Learning functional structure from fMR images , 2006, NeuroImage.

[8]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .

[9]  F. Gonzalez-Lima,et al.  Structural equation modeling and its application to network analysis in functional brain imaging , 1994 .

[10]  S. Rauch,et al.  An fMRI study of anterior cingulate function in posttraumatic stress disorder , 2001, Biological Psychiatry.

[11]  Yang Wang,et al.  Contextual modeling of functional MR images with conditional random fields , 2006, IEEE Transactions on Medical Imaging.

[12]  J. R. Binder,et al.  Development and cross-validation of a model of linguistic processing using neural network and path analyses with FMRI data , 2001, NeuroImage.

[13]  Karl J. Friston,et al.  Multivariate Autoregressive Modelling of fMRI time series , 2003 .

[14]  C. Büchel,et al.  Modulation of connectivity in visual pathways by attention: cortical interactions evaluated with structural equation modelling and fMRI. , 1997, Cerebral cortex.

[15]  D. Yves von Cramon,et al.  Variants of uncertainty in decision-making and their neural correlates , 2005, Brain Research Bulletin.

[16]  Allan L. Reiss,et al.  fMRI Study of Cognitive Interference Processing in Females with Fragile X Syndrome , 2002, Journal of Cognitive Neuroscience.

[17]  R. Parasuraman The attentive brain , 1998 .

[18]  Rainer Goebel,et al.  Investigating directed cortical interactions in time-resolved fMRI data using vector autoregressive modeling and Granger causality mapping. , 2003, Magnetic resonance imaging.

[19]  Michael Eichler,et al.  A graphical approach for evaluating effective connectivity in neural systems , 2005, Philosophical Transactions of the Royal Society B: Biological Sciences.

[20]  David Maxwell Chickering,et al.  Learning Bayesian Networks: The Combination of Knowledge and Statistical Data , 1994, Machine Learning.

[21]  Jagath C. Rajapakse,et al.  Bayesian approach to segmentation of statistical parametric maps , 2001, IEEE Transactions on Biomedical Engineering.

[22]  Rainer Goebel,et al.  Mapping directed influence over the brain using Granger causality and fMRI , 2005, NeuroImage.

[23]  Scott T. Grafton,et al.  PET activation studies comparing two speech tasks widely used in surgical mapping , 2003, Brain and Language.

[24]  Guy M. Goodwin,et al.  The role of the anterior cingulate cortex in the counting Stroop task , 2004, Experimental Brain Research.

[25]  Kevin Murphy,et al.  Bayes net toolbox for Matlab , 1999 .

[26]  Pim van Dijk,et al.  Simultaneous sampling of event-related BOLD responses , 2001, NeuroImage.

[27]  Shunsuke Sato,et al.  Algorithm for Vector Autoregressive Model Parameter Estimation Using an Orthogonalization Procedure , 2002, Annals of Biomedical Engineering.

[28]  Karl J. Friston,et al.  The Effects of Presentation Rate During Word and Pseudoword Reading: A Comparison of PET and fMRI , 2000, Journal of Cognitive Neuroscience.

[29]  Leslie G. Ungerleider,et al.  Network analysis of cortical visual pathways mapped with PET , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

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

[31]  J G Taylor,et al.  Network analysis in episodic encoding and retrieval of word‐pair associates: a PET study , 1999, The European journal of neuroscience.

[32]  H. Lüders,et al.  Functional connectivity in the human language system: a cortico-cortical evoked potential study. , 2004, Brain : a journal of neurology.

[33]  J. Rajapakse,et al.  Human Brain Mapping 6:283–300(1998) � Modeling Hemodynamic Response for Analysis of Functional MRI Time-Series , 2022 .

[34]  C. Price The anatomy of language: contributions from functional neuroimaging , 2000, Journal of anatomy.

[35]  Jieun Kim,et al.  Effects of Verbal Working Memory Load on Corticocortical Connectivity Modeled by Path Analysis of Functional Magnetic Resonance Imaging Data , 2002, NeuroImage.

[36]  S. Rauch,et al.  The counting stroop: An interference task specialized for functional neuroimaging—validation study with functional MRI , 1998, Human brain mapping.

[37]  E. Bullmore,et al.  How Good Is Good Enough in Path Analysis of fMRI Data? , 2000, NeuroImage.

[38]  Bill Faw Pre-frontal executive committee for perception, working memory, attention, long-term memory, motor control, and thinking: A tutorial review , 2003, Consciousness and Cognition.