Biomechanical Model Improving Alzheimer’s Disease

Abstract

The aim this study is to describe the algorithms of kinetic modeling to analyze the pattern of deposition of amyloid plaques and glucose metabolism in Alzheimer ’ s dementia. A two-tissue reversible compartment model for Pittsburgh Compound-B ([ 11 C ] PIB ) and a two-tissue irreversible compartment model for [ 18 F ]2-fluoro-2-deoxy-D-glucose ([ 18 F ] FDG ) are solved applying the Laplace transform method in a system of two first-order differential equations. After calculating a convolution integral, the analytical solutions are completely described. In order to determine the parameters of the model, information on the tracer delivery is needed. A noninvasive reverse engineer technique is described to determine the input function from a reference region (carotids and cerebellum) in PET image processing, without arterial blood samples.