Identification of Time-Varying Cortico-cortical and Cortico-Muscular Coherence during Motor Tasks with Multivariate Autoregressive Models

Neural populations coordinate at fast subsecond time-scales during rest and task execution. As a result, functional brain connectivity assessed with different neuroimaging modalities (EEG, MEG, fMRI) may also change over different time scales. In addition to the more commonly used sliding window techniques, the General Linear Kalman Filter (GLFK) approach has been proposed to estimate time-varying brain connectivity. In the present work, we propose a modification of the GLFK approach to model timevarying connectivity. We also propose a systematic method to select the hyper-parameters of the model. We evaluate the performance of the method using MEG and EMG data collected from 12 young subjects performing two motor tasks (unimanual and bimanual hand grips), by quantifying time-varying cortico-cortical and corticomuscular coherence (CCC and CMC). The CMC results revealed patterns in accordance with earlier findings, as well as an improvement in both time and frequency resolution compared to sliding window approaches. These results suggest that the proposed methodology is able to unveil accurate time-varying connectivity patterns with an excellent time resolution.

[1]  Laura Astolfi,et al.  Tracking the Time-Varying Cortical Connectivity Patterns by Adaptive Multivariate Estimators , 2008, IEEE Transactions on Biomedical Engineering.

[2]  S. Baker Oscillatory interactions between sensorimotor cortex and the periphery , 2007, Current Opinion in Neurobiology.

[3]  Eric Berton,et al.  Functional Corticospinal Projections from Human Supplementary Motor Area Revealed by Corticomuscular Coherence during Precise Grip Force Control , 2013, PloS one.

[4]  Paolo Maria Rossini,et al.  Choice of multivariate autoregressive model order affecting real network functional connectivity estimate , 2009, Clinical Neurophysiology.

[5]  Laura Astolfi,et al.  A new Kalman filter approach for the estimation of high-dimensional time-variant multivariate AR models and its application in analysis of laser-evoked brain potentials , 2010, NeuroImage.

[6]  W. Drongelen,et al.  Localization of brain electrical activity via linearly constrained minimum variance spatial filtering , 1997, IEEE Transactions on Biomedical Engineering.

[7]  Georgios D. Mitsis,et al.  Modeling of multiple-input, time-varying systems with recursively estimated basis expansions , 2019, Signal Process..

[8]  Markus Butz,et al.  Task-dependent oscillations during unimanual and bimanual movements in the human primary motor cortex and SMA studied with magnetoencephalography , 2005, NeuroImage.

[9]  Georgios D. Mitsis,et al.  Nonstationary multivariate modeling of cerebral autoregulation during free-breathing and hypercapnic conditions , 2014, 2014 8th Conference of the European Study Group on Cardiovascular Oscillations (ESGCO).

[10]  J. Ushiba,et al.  Between-subject variance in the magnitude of corticomuscular coherence during tonic isometric contraction of the tibialis anterior muscle in healthy young adults. , 2011, Journal of neurophysiology.

[11]  Giulio Tononi,et al.  Estimation of Cortical Connectivity From EEG Using State-Space Models , 2010, IEEE Transactions on Biomedical Engineering.

[12]  Z. Zhang,et al.  [Modern spectral estimation of ICP-AES]. , 2000, Guang pu xue yu guang pu fen xi = Guang pu.

[13]  R. Lemon,et al.  Human Cortical Muscle Coherence Is Directly Related to Specific Motor Parameters , 2000, The Journal of Neuroscience.

[14]  Pieter van Mierlo,et al.  Seizure-Onset Mapping Based on Time-Variant Multivariate Functional Connectivity Analysis of High-Dimensional Intracranial EEG: A Kalman Filter Approach , 2016, Brain Topography.

[15]  Mark W. Woolrich,et al.  A symmetric multivariate leakage correction for MEG connectomes , 2015, NeuroImage.

[16]  M. Corbetta,et al.  Large-scale cortical correlation structure of spontaneous oscillatory activity , 2012, Nature Neuroscience.

[17]  Tohru Ozaki,et al.  Time Series Modeling of Neuroscience Data , 2012 .

[18]  Robert Oostenveld,et al.  Imaging the human motor system’s beta-band synchronization during isometric contraction , 2008, NeuroImage.

[19]  Richard M. Leahy,et al.  Brainstorm: A User-Friendly Application for MEG/EEG Analysis , 2011, Comput. Intell. Neurosci..

[20]  Kusum Deep,et al.  A real coded genetic algorithm for solving integer and mixed integer optimization problems , 2009, Appl. Math. Comput..

[21]  Mika P. Tarvainen,et al.  Estimation of nonstationary EEG with Kalman smoother approach: an application to event-related synchronization (ERS) , 2004, IEEE Transactions on Biomedical Engineering.