title: Multiscale causal connectivity analysis by canonical correlation: theory and application to epileptic brain.
abstract: Multivariate Granger causality is a well-established approach for inferring information flow in complex systems, and it is being increasingly applied to map brain connectivity. Traditional Granger causality is based on vector autoregressive (AR) or mixed autoregressive moving average (ARMA) model, which are potentially affected by errors in parameter estimation and may be contaminated by zero-lag correlation, notably when modeling neuroimaging data. To overcome this issue, we present here an extended canonical correlation approach to measure multivariate Granger causal interactions among time series. The procedure includes a reduced rank step for calculating canonical correlation analysis (CCA), and extends the definition of causality including instantaneous effects, thus avoiding the potential estimation problems of AR (or ARMA) models. We tested this approach on simulated data and confirmed its practical utility by exploring local network connectivity at different scales in the epileptic brain analyzing scalp and depth-EEG data during an interictal period.
authors.affiliation: Key Laboratory for NeuroInformation of Ministry of Education, School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu, China. wugr@uestc.edu.cn
authors.forename: Guo Rong
authors.initials: GR
authors.lastname: Wu
authors.forename: Fuyong
authors.initials: F
authors.lastname: Chen
authors.forename: Dezhi
authors.initials: D
authors.lastname: Kang
authors.forename: Xiangyang
authors.initials: X
authors.lastname: Zhang
authors.forename: Daniele
authors.initials: D
authors.lastname: Marinazzo
authors.forename: Huafu
authors.initials: H
authors.lastname: Chen
mesh_terms: D000465:Algorithms; D001921:Brain / Q000033:anatomy & histology / Q000502:physiology; D001931:Brain Mapping / Q000379:methods*; D003198:Computer Simulation; D004569:Electroencephalography / Q000379:methods*; D004827:Epilepsy / Q000503:physiopathology*; D005260:Female; D006801:Humans; D008279:Magnetic Resonance Imaging; D015999:Multivariate Analysis; D012815:Signal Processing, Computer-Assisted; D014057:Tomography, X-Ray Computed; D055815:Young Adult