V K Jirsa, R Friedrich, and H Haken (1995)
Reconstruction of the spatio-temporal dynamics of a human magnetoencephalogram
PHYSICA D 89(1-2):100–122.
We reconstruct the entire experimentally observed spatio-temporal
signal of a human magnetoencephalogram (MEG) observed in a sensori-motor-coordination
experiment by Kelso et al. In this experiment, when an acoustic
stimulus frequency is changed systematically, a spontaneous transition
in coordination occurs at a critical frequency in both the motor
behavior and brain signals. Here we present a stepwise approach
for the reconstruction of the spatio-temporal signal: First, we
identify the order parameters and recall a theoretical model by
the present authors and Kelso which reproduces the temporal dynamics
of the order parameters. Second, we use the variational method by
Uhl et al. in order to determine the spatial modes of the order
parameters. Third, we present a variational method for the reconstruction
of the remaining spatio-temporal signal and determine the spatial
modes and temporal dynamics of the enslaved variables and possible
order parameter modifications. The obtained set of spatial modes
proves to be a fixed spatial base system of the observed temporal
dynamics in the brain.,