Estimation of neuronal activity and brain dynamics using a dual Kalman filter with physiologycal based linear model

In this research article a dynamic estimation of neuronal activity and brain dynamics from electroencephalographic (EEG) signals is presented using a dual Kalman filter. The dynamic model for brain behavior is evaluated using physiological-based linear models. Filter performance is analyzed for simulated and clinical EEG data, over several noise conditions. As a result a better performance on the solution of the dynamic inverse problem is achieved, in case of time varying parameters compared with the system with fixed parameters and the static case. An evaluation of computational load is performed when predicted dynamic cases, estimated using the Kalman filter, are up to ten times faster than the static case.

[1]  G. Castellanos-Dominguez,et al.  Estimation of dynamic neural activity using a Kalman filter approach based on physiological models , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.

[2]  P. Robinson,et al.  Compact dynamical model of brain activity. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Per Christian Hansen 5. Direct Regularization Methods , 1998 .

[4]  Spilios D. Fassois,et al.  Parametric time-domain methods for non-stationary random vibration modelling and analysis — A critical survey and comparison , 2006 .

[5]  Jeffrey K. Uhlmann,et al.  Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.

[6]  Tohru Ozaki,et al.  Recursive penalized least squares solution for dynamical inverse problems of EEG generation , 2004, Human brain mapping.

[7]  M. Cook,et al.  EEG source localization in focal epilepsy: Where are we now? , 2008, Epilepsia.

[8]  Hugh F. Durrant-Whyte,et al.  Evaluating the Performance of Kalman-Filter-Based EEG Source Localization , 2009, IEEE Transactions on Biomedical Engineering.

[9]  E.N. Brown,et al.  Large Scale Kalman Filtering Solutions to the Electrophysiological Source Localization Problem- A MEG Case Study , 2006, 2006 International Conference of the IEEE Engineering in Medicine and Biology Society.

[10]  J. Kurths,et al.  Identification of nonlinear spatiotemporal systems via partitioned filtering. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Bart Vanrumste,et al.  Journal of Neuroengineering and Rehabilitation Open Access Review on Solving the Inverse Problem in Eeg Source Analysis , 2022 .

[12]  P. Hansen Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion , 1987 .