Following administration of a positron-emitting radiopharmaceutical (tracer), PET permits the direct measurement of the four-dimensional radioactivity profile throughout a 3D object over time. Depending on the characteristics of the tracer, physiological parameters can be estimated, such as blood flow, metabolism, and receptor concentration. These measurements can be made with subjects in different states (e.g., stimulus or drug activation), used to compare patient groups to controls, or to assess the efficacy of drug treatment.
The goal of PET tracer kinetic modeling is to devise a biologically validated, quantitatively reliable, and logistically practical method for use in human PET studies. Animal studies are typically performed to characterize the tracers, followed by initially complex human studies, typically leading to the development of simplified methods, e.g., using continuous tracer infusion. Mathematical methodology includes linear and non-linear differential equations, statistical estimation theory, methods to avoid the needs for arterial blood measurements (the input function) such as blind deconvolution, plus the development of novel rapid computational algorithms.