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In matrix form, we can write:
The matrix of the AIF must be inverted to calculate the BF-scaled IRF. Normally,
deconvolution is performed via singular values decomposition (SVD).
Two Compartments Models
Deconvolution
Fieselman et al: “Deconvolution-Based CT and MR Brain Perfusion Measurement: Theoretical Model Revisited and Practical
Implementation Details”,
International Journal of Biomedical Images
(2011).