Spatiotemporal distribution modeling of PET tracer uptake in solid tumors
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ORIGINAL ARTICLE
Spatiotemporal distribution modeling of PET tracer uptake in solid tumors Madjid Soltani1,2 • Mostafa Sefidgar3 • Hossein Bazmara3 • Michael E. Casey4 Rathan M. Subramaniam5 • Richard L. Wahl6 • Arman Rahmim1,7
•
Received: 6 January 2016 / Accepted: 18 October 2016 Ó The Japanese Society of Nuclear Medicine 2016
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.
& Madjid Soltani [email protected]
2
Department of Mechanical Engineering, KNT University, Tehran, Iran
& Arman Rahmim [email protected]
3
Department of Mechanical Engineering, Pardis Branch, Islamic Azad University, Pardis, Iran
Mostafa Sefidgar [email protected]
4
Siemens Medical Solutions, Knoxville, TN 37932, USA
5
Hossein Bazmara [email protected]
Department of Radiology, University of Texas Southwestern Medical Center, Dallas, TX, USA
6
Michael E. Casey [email protected]
Department of Radiology, Washington University, St. Louis, MO 63110, USA
7
Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
Rathan M. Subramaniam [email protected] Richard L. Wahl [email protected] 1
Division of Nuclear Medicine, Department of Radiology, School of Medicine, Johns Hopkins University, Baltimore, MD 21287, USA
123
Ann Nucl Med
Keywords Positron emission tomography Solid tumors Kine
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