J. Dushanova et D. Popivanov, NONLINEAR PREDICTION AS A TOOL FOR TRACKING THE DYNAMICS OF SINGLE-TRIAL READINESS POTENTIALS, Journal of neuroscience methods, 70(1), 1996, pp. 51-63
The performance of a voluntary act is preceded by an intrinsic process
of intention and preparation accompanied by specific patterns of scal
p-recorded EEG. The baseline shift to negativity and the decrease of a
lpha and beta oscillations prior to movement performance are considere
d to reflect the motor preparation and are observable even in single-t
rial EEG records during repetitive voluntary movements. The single-tri
al features of these patterns are of importance since they would refle
ct the dynamics of EEG activity during movement performance throughout
the experimental session. Since this process is very complex and its
dynamics is unclear, we applied a more general approach, i.e. the meth
od of nonlinear prediction (NP) recommended for detection of chaos in
the behavior of nonlinear dynamical systems. The NP is based on a libr
ary of past patterns of the time series used to compute the prediction
of future pattern. If the time series is chaotic, the correlation coe
fficient between predicted and actual values would decrease as a funct
ion of the prediction step. The NP was applied to EEG records containi
ng readiness potentials (RPs) at Fz, Cz, Pz, C3 and C4 during repetiti
ve voluntary finger flexion. Because of nonstationarity, the predictio
n and the library spanned the same time period. As a result (1) chaoti
c segments in EEG records were detected; and (2) the sharp jumps of th
e absolute error between predicted and actual values indicated instanc
es of poor prediction, which were interpreted as indicating new stages
of EEG activity related to the preparatory process of motor activity.