Support:Documents:Examples:Estimate Input Parameters Simultaneously with Flow
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Estimating Input Function Parameters Simultaneously with Flow
This example demonstrates an approach to simultaneously estimating input functions parameters along with blood flow in the context of the PET blood flow model. The flow model has one tissue compartment and (radioactive) water in the blood is assumed to rapidly exchange with the water in the tissue. The tissue model has two rate constants: K1 and k2.
Instead of estimating K1 and k2, it sometimes is advantageous estimate a different set of parameters defined as
lambda = K1/k2 and F = K1.
The interpretation is that F is blood flow (perfusion) per unit volume of tissue and lambda is the ratio of tissue to blood concentration at equilibrium.
To use this parameterizatio in COMKAT, one needs to express the rate constants in terms of lambda and F:
K1 = F k2 = K1/lambda
There are
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