Abstract
In this paper, we describe approaches for analyzing functional MRI data to assess brain connectivity. Using phase-space embedding, bivariate embedding dimensions and delta-epsilon methods are introduced to characterize nonlinear connectivity in fMRI data. The nonlinear approaches were applied to resting state data and continuous task data and their results were compared with those obtained from the conventional approach of linear correlation. The nonlinear methods captured couplings not revealed by linear correlation and was found to be more selective in identifying true connectivity. In addition to the nonlinear methods, the concept of Granger causality was applied to infer directional information transfer among the connected brain regions. Finally, we demonstrate the utility of moving window connectivity analysis in understanding temporally evolving neural processes such as motor learning.
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Lee, L., Harrison, L.M., Mechelli, A.: A report of the functional connectivity workshop, Düsseldorf 2002. Neuroimage 19(2), 457–465 (2003)
Friston, K.J.: Functional and effective connectivity in neuroimaging: a synthesis. Human Brain Mapping 2, 56–78 (1995)
Sarbadhikari, S.N., Chakrabarty, K.: Chaos in the brain: a short review alluding to epilepsy, depression, exercise and lateralization. Med. Eng. Phys. 23(7), 445–455 (2001)
Zhuang, J., LaConte, S.M., Peltier, S.J., Zhang, K., Hu, X.P.: Connectivity exploration with structural equation modeling: an fMRI study of bimanual motor coordination. Neuroimage 25(2), 462–470 (2005)
Bhattacharya, S., Ringo Ho, M.H., Purkayastha, S.: A Bayesian approach to modeling dynamic effective connectivity with fMRI data. Neuroimage 30(3), 794–812 (2006)
Büchel, C., Friston, K.: Dynamic changes in effective connectivity characterized by variable parameter regression and Kalman filtering. Human Brain Mapping 6, 403–408 (1998)
Friston, K., Harrison, L., Penny, W.: Dynamic causal modeling. Neuroimage 19(4), 1273–1302 (2003)
Hinrichs, H., Heinze, H.J., Schoenfeld, M.A.: Causal visual interactions as revealed by an information theoretic measure and fMRI. Neuroimage (in press)
Granger, C.W.J.: Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37(3), 424–438 (1969)
Katok, A., Hasselblatt, B.: Introduction to the modern theory of dynamical systems. Cambridge university press, UK (1996)
Takens, F.: Detecting strange attractors in turbulence. In: Rand, D., Young, L. (eds.) Dynamical Systems and Turbulence, vol. 898, pp. 366–381. Springer, Berlin (1980)
Cao, L., Mees, A., Judd, K.: Dynamics from multivariate time series. Physica D 121, 75–88 (1998)
LaConte, S., Peltier, S., Kadah, Y., Ngan, S., Deshpande, G., Hu, X.: Detecting nonlinear dynamics of functional connectivity. In: Proc. SPIE Intl. Soc. Opt. Eng., vol. 5369, pp. 227–237 (2004)
Kaplan, D.: Exceptional events as evidence for determinism. Physica D 73, 38–48 (1994)
Hoyer, D., Kaplan, D., Friedrich, S., Eiselt, M.: Determinism in bivariate cardiorespiratory phase-space sets. IEEE Eng. Med. Biol. 17, 26–31 (1998)
Hu, X.P., Le, T.H., Parrish, T., Erhard, P.: Retrospective estimation and correction of physiological fluctuation in functional MRI. Magn. Reson. Med. 34(2), 201–212 (1995)
McKeown, M.J., Sejnowski, T.J.: Independent component analysis of fMRI data: examining the assumptions. Human Brain Mapping 6, 160–188 (1998)
Liu, J.Z., Huang, H.B., Sahgal, V., Hu, X.P., Yue, G.H.: Deterioration of cortical functional connectivity due to muscle fatigue. Proc. Intl. Soc. Mag. Reson. Med. 13, 2679 (2005)
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Deshpande, G., LaConte, S., Peltier, S., Hu, X. (2006). Connectivity Analysis of Human Functional MRI Data: From Linear to Nonlinear and Static to Dynamic. In: Yang, GZ., Jiang, T., Shen, D., Gu, L., Yang, J. (eds) Medical Imaging and Augmented Reality. MIAR 2006. Lecture Notes in Computer Science, vol 4091. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11812715_3
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DOI: https://doi.org/10.1007/11812715_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-37220-2
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