Abstract
Event-related functional magnetic resonance imaging (fMRI) is considered as an estimation and reconstruction problem. A linear model of the fMRI system based on the Fourier sampler (k-space) approximation is introduced and used to examine what parameters of the activation are estimable, i.e. can be accurately reconstructed in the noisefree limit. Several possible spatio-temporal representations of the activation are decomposed into null and measurement components. A causal representation of the activation using generalized Laguerre polynomials is introduced.
Acknowledgements
We thank Angel Pineda for valuable discussions. This work was supported by NIH grants R01 CA52643 and P41 RR14304. A.L. was supported by NSF grant VIGRE 9977116.
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Lehovich, A., Barrett, H.H., Clarkson, E.W., Gmitro, A.F. (2001). Estimability of Spatio-Temporal Activation in fMRI. In: Insana, M.F., Leahy, R.M. (eds) Information Processing in Medical Imaging. IPMI 2001. Lecture Notes in Computer Science, vol 2082. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45729-1_28
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DOI: https://doi.org/10.1007/3-540-45729-1_28
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