The Derivation and Reconstruction of the Gamma Variate Function for Tracer Dilution Curves

Cerebral blood flow and perfusion can be estimated using tracer dilution experiments. Accurate estimation of blood flow parameters is a crucial part of medical imaging for effective diagnosis and treatment. This study explores two themes: (i) the derivation of the gamma variate function as a response tracer infusion and (ii) the estimation of impulse and residue functions from tracer dilution curves parameters via the least squares method.