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Proceedings Paper

Application of a linear time-invariant model in the Fourier domain to perform statistical analysis of functional magnetic resonance images
Author(s): Daniel E. Rio; Robert R. Rawlings; Daniel Hommer
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Paper Abstract

A linear time invariant model is applied to functional fMRI blood flow data. This model assumes that the fMRI stochastic output sequence can be determined by a constant plus a linear filter (hemodynamic response function) of several fixed deterministic inputs and an error term, assumed stationary with zero mean and error spectrum. An on-off finger tapping experiment was performed where the subject repetitively tapped their fingers for 30 seconds and remained still for 30 seconds. Thirty three disjoint frequency bands, 3 wave numbers wide were chosen to analyze the data. At each band an F- statistical image was constructed to test ((alpha) equals .05/33) whether power from the input signal induced a response in the output signal. Activation was seen at frequency .0154 Hz close to the frequency for maximum power of the input signal, .0167 Hz in the contralateral motor strip and motor cortex. In conclusion, (1) No assumptions are made about the filter. (2) Several different deterministic inputs may be applied. (3) Problems with temporal correlation are avoided by performing the statistics in the Fourier domain. (4) Testing can be performed for differences in the hemodynamic transfer function at different spatial locations under different experimental conditions.

Paper Details

Date Published: 20 April 2000
PDF: 11 pages
Proc. SPIE 3978, Medical Imaging 2000: Physiology and Function from Multidimensional Images, (20 April 2000); doi: 10.1117/12.383406
Show Author Affiliations
Daniel E. Rio, National Institutes of Health (United States)
Robert R. Rawlings, National Institutes of Health (United States)
Daniel Hommer, National Institutes of Health (United States)

Published in SPIE Proceedings Vol. 3978:
Medical Imaging 2000: Physiology and Function from Multidimensional Images
Chin-Tu Chen; Anne V. Clough, Editor(s)

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