Parameter estimation with discrete linear least squares method

This study investigated a parameter estimation method for the quanti tat ion of [F-18]2-fluoro-2-deoxy-D-glucose (FDG) positron emission tomography (PET) study using discrete linear least squares technique. The kinetics of FDG model is fonnulated as a discrete linear system. Using Z transfonn and its inverse transfonn, the rate constants of FDG model can be derived from a set of simultaneous equations in matrix form. The results show that our method is an efficient and reliable method for measuring cerebral metabolic rate of glucose. With optimal sample schedule, the error in parameter estimation is reduced and the correlation between the proposed method and non linear least squares method is superior to that of the original sample schedule.