Mathematical Modeling to Quantify the Pharmacokinetic Process of [18F]2-fluor-2deoxy-D-glucose (FDG)

Hauser, Eliete Biasotto; Venturin, Gianina Teribele; Greggio, Samuel; Costa, Jaderson Costa da

doi:10.1007/978-3-319-16727-5_25

Cited by 3 publications

(5 citation statements)

References 8 publications

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“…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.…”

Section: Models Compartmentsmentioning

confidence: 99%

“…[ 18 F]FDG is a glucose analogue used to evaluate brain's metabolic activity in vivo through positron emission tomography with computed tomography (PET/CT). The irreversible two-compartment model for [ 18 F]FDG is used for description of this tracer, which is first entering a free compartment, C1, and is then metabolized irreversibly in the second compartment C2, [16].…”

Section: Two-tissue Irreversible Compartment Model Of [ 18 F]fdgmentioning

confidence: 99%

“…The transport of the radiotracer across of arterial blood is very fast in the first few minutes and then decreases slowly. Then, it may be appropriate to estimate the C r t ðÞin a few stages as piecewise function, [16]. This is defined for three stages in the equation…”

Section: Input Function Derived Of Pet Imagementioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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Biomechanical Model Improving Alzheimer’s Disease

Hauser¹,

Borelli²,

Costa³

2020

Recent Advances in Biomechanics

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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.

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Section: Models Compartmentsmentioning

confidence: 99%

Section: Two-tissue Irreversible Compartment Model Of [ 18 F]fdgmentioning

confidence: 99%

Section: Input Function Derived Of Pet Imagementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Biomechanical Model Improving Alzheimer’s Disease

Hauser¹,

Borelli²,

Costa³

2020

Recent Advances in Biomechanics

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“…Mathematical modeling has been of great help in studying the dynamics of several real class problems in many areas of expertise such as Physics, Engineering, Biology among many others (Mao, 2007). In pharmacokinetics, mathematical modeling has been also playing an important role when compartmental models are used to determine the dynamics of radiotracers (Hauser et al, 2015, Hauser, 2013. An important part of this process is to determine the arterial input function which is a quantitative measure of the amount of radiotracer in the blood stream.…”

Section: Introductionmentioning

confidence: 99%

Laplace Transform Method for 11C-PIB Two-Tissue Reversible Compartment Model with Image-Derived Arterial Input Function

Greggio¹,

Zimmer²,

Venturin³

et al. 2017

Proceedings of the XXXVIII Iberian Latin American Congress on Computational Methods in Engineering

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Positron Emission Tomography (PET) has been of utmost importance for helping the diagnostics of neurodegenerative diseases, such as Alzheimer's disease(AD). Radiolabeled drugs help quantifying the amount of deposition of beta-amyloid in the brain which can be a strong indication for AD. In this work, using data coming from an experiment at the Brain Institute with Pittsburgh Compound-B (11C-PIB) as a marker, we propose a two-tissue reversible compartment model as a mathematical modeling in the quantitative analysis of the 11C-PIB. Laplace Transform is applied to solve the corresponding system of differential equations for CILAMCE 2017

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