In-room imaging and MR planning

Two Compartments Models Deconvolution

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).

Fieselman et al: “Deconvolution-Based CT and MR Brain Perfusion Measurement: Theoretical Model Revisited and Practical Implementation Details”, International Journal of Biomedical Images (2011).