Carotid arterial input function as an inverse problem in kinetic modeling of [18F]2-fluoro-2 deoxy-D-glucose(FDG)

Mathematical modeling in quantification of [18F] FDG positron emission tomography images

“…The Laplace transform technique, as demonstrated in Hauser et al (2019), allows quantifying the concentration in each compartment C1 and C2 through the system analytical solution (1), expressed by the convolution integrals:…”

“…In order to avoid invasive procedures such as blood sample collection several studies are found in the literature proposing alternative techniques for construction of the input function (Hauser et al, 2019;Hauser et al, 2020).…”

Biomechanical Model Improving Alzheimer’s Disease

“…The irreversible two compartment model (Figure 2 with k 4 ¼ 0) is used for description of tracer [ 18 F]FDG, [16,17], which first enter a free compartment, C1, and is then metabolized irreversibly in the second compartment C2.…”

“…The dynamics of the radiotracer, [11,17], on the reference region is governed by the differential equation…”

“…The Laplace transform is used to generate the exact solution solutions of the [ 11 C]PIB two-tissue reversible compartment model, [15], and [ 18 F]FDG two-tissue irreversible compartment model, [16,17], applying the Laplace transform method in a system of two first order differential equations. From a reference region (carotids and cerebellum) the technique allows to estimate the concentration in each compartment of the region of interest, illustrated in Figure 1.…”