Title
"Laplace Transform in Fluordeoxiglicose 18F (FDG - 18F) Kinetic Modeling"
Eliete Biasotto Hauser (Brain Institute - PUCRS)
Abstract
The main objective this paper is to quantify the pharmacokinetics processes: absorption, distribution and elimination of FDG - 18F radiopharmaceutical(tracer), using Laplace transform method.
When the drug is administered intravenously absorption is complete and is available in the bloodstream to be distributed throughout the whole body in all tissues and fluids, and to be eliminated. Mathematical modeling seeks to describe the processes of distribution and elimination through compartments, where distinct pools of tracer (spatial location or chemical state) are assigned to different compartments A compartment model is described by a system of differential equations, where each equation represents the sum of all the transfer rates to and from a specific compartment. In order to determine the parameters of the model, it is necessary to have information about the tracer delivery in the form of an input function representing the time-course of tracer concentration in arterial blood or plasma. Using a two-tissue reversible compartment model, numerical results are presented and compared with those available in the literature.
Keywords: Laplace Transform, Mathematical modeling, pharmacokinetic, Fluordeoxiglicose 18F( FDG - 18F) , Radiopharmaceutical, Tracer
