Abstract
We present a new approach to detecting functional networks in fMRI time series data. Functional networks as defined here are characterized by a tight coherence criterion where every network member is closely connected to every other member. This definition of a network closely resembles that of a clique in a graph. We propose to use replicator dynamics for detecting such networks. Our approach differs from standard clustering algorithms in that the entities that are targeted here differ from the traditional cluster concept.
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References
J. Hofbauer, K. Sigmund: The Theory of Evolution and Dynamical Systems, Cambridge University Press, 1988.
I.M. Bomze: Evolution towards the Maximum Clique, J. Global Optimization, Vol. 10, 1997, pp. 143–164.
O. Sporns, G. Tononi, G.M. Edelman: Theoretical Neuroanatomy: Relating Anatomical and Functional Connectivity in Graphs and Cortical Connection Machines, Cerebral Cortex Vol. 10, Feb. 2000, pp. 127–141.
M. Pellilo, K. Siddiqi, S.W. Zucker: Matching Hierarchical Structures using Association Graphs, IEEE Trans. on Pattern Anal. and Machine Intell. Vol. 21, No. 11, Nov. 1999, pp. 1105–1119.
C. Goutte, P. Toft, E. Rostrup, F. Nielsen. L.K. Hansen: On Clustering fMRI time series, NeuroImage Vol. 9, 1999, pp. 298–310.
M.J. McKeown, M.J, S. Makeig, G.G. Brown, T.P. Jung, S.S. Kindermann, A.J. Bell, T.F. Sejnowski: Analysis of fMRI data by blind separation into independent spatial components, Human Brain Mapping Vol. 6, No. 3, 1998, pp. 160–188.
A. Baume, F.T. Sommer, M. Erb, D. Wildgruber B. Kardatzki, G. Palm, W. Grodd: Dynamical Cluster Analysis of Cortical fMRI Activation, NeuroImage Vol. 9, 1999, pp. 477–489.
T. Hofmann, J.M. Buhmann: Pairwise Data Clustering by Deterministic Annealing, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 19, No. 1, 1997, pp. 1–14.
R. Baumgartner, C. Windischberger, E. Moser: Quantification in functional magnetic resonance imaging: fuzzy clustering vs. correlation analysis, Magnetic Resonance Imaging, Vol. 16, No. 2, 1998, pp. 115–125.
J.M. Jolion, P. Meer, S. Bataouche: Robust Clustering with Applications in Computer Vision, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 13, No. 8, 1991, pp. 791–802.
J.B. Poline, B.M. Mazoyer: Analysis of individual positron emission tomography activation maps by detection of high signal to noise ratio pixel clusters, Journal of Cerebral Blood Flow and Metabolism, Vol. 13, 1993, pp. 425–437.
R.O. Duda, P.E. Hart: Pattern Classification and Scene Analysis, John Wiley & Sons, 1973.
M. Singh, P. Patel, D. Khosla, T. Kim: Segmentation of Functional MRI by KMeans Clustering, lEEE Trans. on Nuclear Science, Vol. 43, No. 3, 1996, pp. 2030–2036.
P. Schuster, K. Sigmund: Replicator dynamics, Journal of theoretical biology, Vol. 100, 1983, pp. 533–538.
K.-H. Chuang, M.-J. Chiu, C.C. Lin: Model-free functional MRI analysis using Kohnen Clustering Neural network and fuzzy C-means, IEEE Trans. on Medical Imaging, Vol. 18, No. 12, Dec. 1999, pp. 1117–1128.
J.C. Bezdek, L.O. Hall, L.P. Clarke: Review of MR image segmentation techniques using pattern recognition, Med. Phys. Vol. 20, No. 4, Jul/Aug. 1993, pp.1033–1048.
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Lohmann, G., von Cramon, D.Y. (2001). Detecting Functionally Coherent Networks in fMRI Data of the Human Brain Using Replicator Dynamics. In: Insana, M.F., Leahy, R.M. (eds) Information Processing in Medical Imaging. IPMI 2001. Lecture Notes in Computer Science, vol 2082. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45729-1_23
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DOI: https://doi.org/10.1007/3-540-45729-1_23
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