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Annals of Nuclear Medicine
Published in: Annals of Nuclear Medicine 2/2017

01-02-2017 | Original Article

Spatiotemporal distribution modeling of PET tracer uptake in solid tumors

Authors: Madjid Soltani, Mostafa Sefidgar, Hossein Bazmara, Michael E. Casey, Rathan M. Subramaniam, Richard L. Wahl, Arman Rahmim

Published in: Annals of Nuclear Medicine | Issue 2/2017

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Abstract

Objective

Distribution of PET tracer uptake is elaborately modeled via a general equation used for solute transport modeling. This model can be used to incorporate various transport parameters of a solid tumor such as hydraulic conductivity of the microvessel wall, transvascular permeability as well as interstitial space parameters. This is especially significant because tracer delivery and drug delivery to solid tumors are determined by similar underlying tumor transport phenomena, and quantifying the former can enable enhanced prediction of the latter.

Methods

We focused on the commonly utilized FDG PET tracer. First, based on a mathematical model of angiogenesis, the capillary network of a solid tumor and normal tissues around it were generated. The coupling mathematical method, which simultaneously solves for blood flow in the capillary network as well as fluid flow in the interstitium, is used to calculate pressure and velocity distributions. Subsequently, a comprehensive spatiotemporal distribution model (SDM) is applied to accurately model distribution of PET tracer uptake, specifically FDG in this work, within solid tumors.

Results

The different transport mechanisms, namely convention and diffusion from vessel to tissue and in tissue, are elaborately calculated across the domain of interest and effect of each parameter on tracer distribution is investigated. The results show the convection terms to have negligible effect on tracer transport and the SDM can be solved after eliminating these terms.

Conclusion

The proposed framework of spatiotemporal modeling for PET tracers can be utilized to comprehensively assess the impact of various parameters on the spatiotemporal distribution of PET tracers.
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Metadata
Title
Spatiotemporal distribution modeling of PET tracer uptake in solid tumors
Authors
Madjid Soltani
Mostafa Sefidgar
Hossein Bazmara
Michael E. Casey
Rathan M. Subramaniam
Richard L. Wahl
Arman Rahmim
Publication date
01-02-2017
Publisher
Springer Japan
Published in
Annals of Nuclear Medicine / Issue 2/2017
Print ISSN: 0914-7187
Electronic ISSN: 1864-6433
DOI
https://doi.org/10.1007/s12149-016-1141-4

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