A Bayesian hierarchical framework for modeling brain connectivity for neuroimaging data
Corresponding Author
Shuo Chen
Department of Epidemiology and Biostatistics, University of Maryland, College Park, Maryland 20742, U.S.A.
email: [email protected]Search for more papers by this authorF. DuBois Bowman
Department of Biostatistics, Columbia University, Manhattan, New York 10032, U.S.A.
Search for more papers by this authorHelen S. Mayberg
School of Medicine, Emory University, Atlanta, Georgia 30322, U.S.A.
Search for more papers by this authorCorresponding Author
Shuo Chen
Department of Epidemiology and Biostatistics, University of Maryland, College Park, Maryland 20742, U.S.A.
email: [email protected]Search for more papers by this authorF. DuBois Bowman
Department of Biostatistics, Columbia University, Manhattan, New York 10032, U.S.A.
Search for more papers by this authorHelen S. Mayberg
School of Medicine, Emory University, Atlanta, Georgia 30322, U.S.A.
Search for more papers by this authorSummary
We propose a novel Bayesian hierarchical model for brain imaging data that unifies voxel-level (the most localized unit of measure) and region-level brain connectivity analyses, and yields population-level inferences. Functional connectivity generally refers to associations in brain activity between distinct locations. The first level of our model summarizes brain connectivity for cross-region voxel pairs using a two-component mixture model consisting of connected and nonconnected voxels. We use the proportion of connected voxel pairs to define a new measure of connectivity strength, which reflects the breadth of between-region connectivity. Furthermore, we evaluate the impact of clinical covariates on connectivity between region-pairs at a population level. We perform parameter estimation using Markov chain Monte Carlo (MCMC) techniques, which can be executed quickly relative to the number of model parameters. We apply our method to resting-state functional magnetic resonance imaging (fMRI) data from 32 subjects with major depression and simulated data to demonstrate the properties of our method.
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References
- Achard, S., Salvador, R., Whitcher, B., Suckling, J., and Bullmore, E. (2005). A resilient, low-frequency, small-world human brain functional network with highly connected association cortical hubs. Journal of Neuroscience 26, 63–72.
- Bowman, F. D., Caffo, B., Bassett, S. S., and Kilts, C. (2008). A Bayesian hierarchical framework for spatial modeling of fMRI data. NeuroImage 39, 146–156.
- Bowman, F. D. (2014). Imaging analysis. Annual Review of Statistics and Its Application 1, 61–85.
- Bullmore, E. and Sporns, O. (2009). Complex brain networks: Graph theoretical analysis of structural and functional systems. Nature Reviews. Neuroscience 10, 186–198.
- Calhoun, V. D., Adali, T., Pearlson, G. D., and Pekar, J. J. (2001). A method for making group inferences from fMRI data using ICA. Human Brain Mapping 14, 140–151.
- Chen, L. H. (1975). Poisson approximation for dependent trials. The Annals of Probability 3, 534–545.
- Cordes, D., Haughton, V. M., Arfanakis, K., Carew, J. D., Turski, P. A., Moritz, C. H., et al. (2001). Frequencies contributing to functional connectivity in the cerebral cortex in rs data. American Journal of Neuroradiology 22, 1326–1333.
- Derado, G., Bowman, F. D., and Kilts, C. (2010). Modeling the spatial and temporal dependence in fMRI data. Biometrics, 66, 949–957.
- Do, K. A., Muller, P., and Tang, P. A. (2005). Bayesian mixture model for differential gene expression. Journal of the Royal Statistical Society: Series C 54, 627–44.
- Dunlop, B. W., Binder, B., Cubells, F., Goodman, G., Kelley, E., Kinkead, B., et al. (2012). Predictors of remission in depression to individual and combined treatments (PReDICT): Study protocol for a randomized controlled trial. Trials 13, 106.
- Efron, B. (2004). Large-scale simultaneous hypothesis testing. Journal of American Statistical Association 99, 96–104.
- Fox, M. D., Zhang, D., Snyder, Z., Raichle, E. (2009). The global signal and observed anticorrelated rs brain networks. Journal of Neurophysiology 101, 3270–3283.
- Fox, M. D., Buckner, R. L., White, M. P., Greicius, M. D., and Pascual-Leone, A. (2012). Efficacy of transcranial magnetic stimulation targets for depression is related to intrinsic functional connectivity with the subgenual cingulate. Biological Psychiatry 72, 595–603.
- George, E. I. and McCulloch, R. E. (1993). Variable selection via Gibbs sampling. Journal of American Statistics Association 88, 881–889.
- Greicius, M. D., Flores, B. H., Menon, V., Glover, H., Solvason, B., and Schatzberg, F. (2007). rs functional connectivity in major depression: Abnormally increased contributions from subgenual cingulate cortex and thalamus. Biological Psychiatry 62, 429–37.
- Greicius, M. (2008). Resting-state functional connectivity in neuropsychiatric disorders. Current Opinion in Neurology 21(4), 424–430.
- Greicius, M. D., Krasnow, B., Reiss, A. L., and Menon, V. (2003). Functional connectivity in the resting brain: A network analysis of the default mode hypothesis. Proceedings of the National Academy of Sciences 100, 253–258.
- Gutman, D., Holtzheimer, P., Behrens, T., Johansen-Berg, H., and Mayberg, H. (2009). A tractography analysis of two deep brain stimulation white matter targets for depression. Biological Psychiatry 65, 276–82.
- Garey, L. (1994). Brodman's localisation in the cerebral cortex: The principles of comparative localisation based on cytoarchitectonics. London: Springer.
- Jirsa, K., McIntosh, R. (2007). Handbook of Brain Connectivity. Berlin: Springer.
- Maruish, M. R. (1999). The Use of Psychological Testing for Treatment Planning and Outcomes Assessment. Mahwah, New Jersey: Lawrence Erlbaum Associates.
- Mayberg, H. S., Lozano, A. M., Voon, V., McNeely, H. E., Seminowicz, D., and Hamani, C., et al. (2005). DBS for treatment-resistant depression. Neuron 45, 51–60.
- Müller, P., Parmigiani, G., and Rice, K. (2006). FDR and Bayesian multiple comparisons rules. Proceedings of the Valencia / ISBA 8th World Meeting on Bayesian Statistics, Oxford U.K.: Oxford University Press.
- Patel, R. S., Bowman, F. D., and Rilling, J. K. (2006). A Bayesian approach to determining connectivity of the human brain. Human Brain Mapping 27, 267–276.
- Simpson, S., Bowman, F. D., and Laurienti, P. (2013). Analyzing complex functional brain networks: Fusing statistics and network science. Statistics Surveys 7, 1–36.
- Sporns, O. (2010). Networks of the Brain. Cambridge, Massachusetts: MIT Press.
- Schutte, N. S. and John, M. (1995). Sourcebook of Adult Assessment Strategies, New York: Springer Science.
- Seminowicz, A., Mayberg, H., Segal, Z., and Rafi-Tari, S. (2004). Limbic-frontal circuitry in major depression: A path modeling metanalysis. NeuroImage 22, 409–18.
- Sun, F., Miller, L., and D'Esposito, M., (2004). Measuring interregional functional connectivity using coherence and partial coherence analysesof fmri data. NeuroImage 21, 647–658.
- Turk-Browne, N. B. (2013). Functional interactions as big data in the human brain. Science 342, 580–584.
- Tzourio-Mazoyer, N., Landeau, B., Papathanassiou, D., Crivello, F., Mazoyer, B., and Joliot, M. (2002). Automated anatomical labelling of activations in SPM using a macroscopic anatomical parcellation of the MNI MRI single subject brain. NeuroImage 15, 273–289.
- Weissenbacher, A., Kasess, C., Gerstl, F., Lanzenberger, R., Moser, E., and Windischberger, C. (2009). Correlations and anticorrelations in resting-state functional connectivity MRI: A quantitative comparison of preprocessing strategies. NeuroImage 47, 1408–1416.
- Xue, W., Bowman, F. D., Pileggi, A. V., and Mayer, A. R. (2015). A multimodal approach for determining brain networks by jointly modeling functional and structural connectivity. Frontiers in Computational Neuroscience, 9, 22–33.
- Zatorre, R. J. (2013). Predispositions and plasticity in music and speech learning: Neural correlates and implications. Science 342, 585–589.
- Zalesky, A. (2010). Whole-brain anatomical networks: Does the choice of nodes matter? NeuroImage 50(3), 970–983.
- Zalesky, A., Fornito, A., and Bullmore, E. (2012). On the use of correlation as a measure of network connectivity. NeuroImage 60, 2096–2106.
- Zalesky, A., Cocchi, L., Fornito, A., Murray, M. M., and Bullmore, E. (2012). Connectivity differences in brain networks. NeuroImage 60, 1055–1062.
- Zeng, L. L., Shen, H., Liu, L., Wang, L., Li, B., Fang, P., et al. (2012). Identifying major depression using whole-brain functional connectivity: A multivariate pattern analysis. Brain 59, 1498–1507.