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

Authors

DOI:

https://doi.org/10.5902/2179460X66979

Keywords:

Radiotracer, Positron emission tomography (PET), Reference region, Kinetic modeling

Abstract

Techniques for locating and quantifying brain glucose metabolism using compartmental modeling by solving systems of differentialequations ordinary require an input function (input function), Ca(t). To avoid invasive procedures, such as collecting arterialblood samples, it is possible to obtain Ca(t) of the first order ordinary differential equation Cr ́(t) = K1Ca(t)-K2Cr(t), where Cr(t)describes the concentration of the radiopharmaceutical in a reference region. Cr(t) is built from data obtained by processingimages generated by positron emission tomography (PET) with radiotracers. In this work, the carotids were chosen as the referenceregion, and regression techniques were applied seeking to adjust the discrete activity curves (TAC) data obtained by PET imagingwith the radiopharmaceutical fluorodeoxyglucose [18F]FDG. Aiming to find the same model type for all patients, the picewiselinear function proved to be adequate to describe four stages of the behavior of the Cr(t) concentration: rapid growth and degrowth,intermediate and slow degrowths.

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Author Biographies

Nadine Skolaude Timm, Pontifíca Universidade Católica do Rio Grande do Sul, Porto Alegre, RS

Nadine Skolaude Timm, student of Chemical Engineering (PUCRS).

Eliete Biasotto Hauser, Pontifíca Universidade Católica do Rio Grande do Sul, Porto Alegre, RS

Eliete Biasotto Hauser, Master in Mathematics, PhD in Applied Mathematics, PhD in Mechanical Engineering (UFRGS). Full Professor at the School of Technology (PUCRS) . Researcher in Applied Mathematics of the Brain Institute of Rio Grande do Sul (BraIns). 

References

BORELLI, W. V. (2019). Correlação Entre Neuroimagem Molecular, Estrutural e Funcional emSuperidosos. 143 f. Thesis (Doctorate) Programa de Pós-Graduação de Medicina e Ciências da Saúde da Pontifícia Universidade Católica do Rio Grandedo Sul. Porto alegre.

HAUSER, E. B., VENTURINI, G. T., GREGGIO, S., BORELLI, W. V., COSTA, J. C. (2019). Carotid arterial input function as an inverse problemin kinetic modeling of [18]2 − fluoro − 2deoxy − Dglucose(F DG). Computer Methods in Biomechanics and BiomedicalEngineering: Imaging & Visualization, 8, 2168-1171.

HAUSER, E. B., BORELLI, W. V., COSTA, J.C.(2020). Biomechanical Model Improving Alzheimer’s. Disease. In: Redha Taiar, editor.Recent Advances in Biomechanics77–91. Intech Open.

OLIVEIRA, F. (2019). Modelo Logístico para Descrever as Atividades de Curvas Discretas Obtidas de Imagens PET comRadiofármaco [18F]FDG num Volume de Interesse das Carótidas. 28 f. Dissertation (Lato sensu) Pontifícia Universidade Católica do Rio Grande do Sul Porto Alegre.

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Published

2021-11-08 — Updated on 2022-07-14

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How to Cite

Timm, N. S., & Hauser, E. B. (2022). Mathematical modeling in quantification of [18F] FDG positron emission tomography images. Ciência E Natura, 43, e6. https://doi.org/10.5902/2179460X66979 (Original work published November 8, 2021)

Issue

Vol. 43 (2021): Special Edition: X ERMAC RS

Section

Special Edition

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