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The deconvolution model assumes where
is the probability that a molecule of contrast takes time
t
to transit through the tissue
voxel.
Now we can write:
is the probability that a molecule of contrast is already in the vein at time
t
.
is the probability that a molecule of contrast is still in the tissue voxel
at time
t
. This quantity is also called IRF (impulse response function).
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).