N. Lange et Sl. Zeger, NONLINEAR FOURIER TIME-SERIES ANALYSIS FOR HUMAN BRAIN MAPPING BY FUNCTIONAL MAGNETIC-RESONANCE-IMAGING, Applied Statistics, 46(1), 1997, pp. 1-19
A non-linear parametric model for brain activation detection by functi
onal magnetic resonance imaging (FMRI) is proposed. The effects of a d
esigned temporal stimulus on the FMRI signal at each brain location in
a 36 x 60 spatial grid are estimated from discrete Fourier transforms
of the observed time series at each location. The frequency domain re
gression model accommodates unobservable and spatially varying haemody
namic response functions through their estimated convolutions with the
global stimulus. This approach generalizes an existing method for hum
an brain mapping. An experiment to detect focal cortical activation du
ring primary visual stimulation demonstrates the usefulness of the met
hod.